10.653 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.469 * * * [progress]: [2/2] Setting up program. 0.472 * [progress]: [Phase 2 of 3] Improving. 0.472 * [simplify]: Simplifying using # : (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) 0.520 * * [simplify]: iteration 0 : 4987 enodes (cost 16 ) 0.520 * * [simplify]: iteration 1 : 4987 enodes (cost 16 ) 0.521 * [simplify]: Simplified to: (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) 0.521 * * [progress]: iteration 1 / 4 0.521 * * * [progress]: picking best candidate 0.527 * * * * [pick]: Picked # 0.527 * * * [progress]: localizing error 0.540 * * * [progress]: generating rewritten candidates 0.540 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.549 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.561 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.576 * * * [progress]: generating series expansions 0.576 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.576 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.576 * [taylor]: Taking taylor expansion of 1.0 in k 0.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.576 * [taylor]: Taking taylor expansion of k in k 0.577 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.577 * [taylor]: Taking taylor expansion of 1.0 in k 0.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.577 * [taylor]: Taking taylor expansion of k in k 0.578 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.578 * [taylor]: Taking taylor expansion of 1.0 in k 0.578 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.578 * [taylor]: Taking taylor expansion of k in k 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.579 * [taylor]: Taking taylor expansion of 1.0 in k 0.579 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.579 * [taylor]: Taking taylor expansion of k in k 0.580 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.580 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.580 * [taylor]: Taking taylor expansion of 1.0 in k 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.580 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.580 * [taylor]: Taking taylor expansion of -1 in k 0.580 * [taylor]: Taking taylor expansion of k in k 0.580 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.580 * [taylor]: Taking taylor expansion of 1.0 in k 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.580 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.580 * [taylor]: Taking taylor expansion of -1 in k 0.580 * [taylor]: Taking taylor expansion of k in k 0.586 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.586 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.586 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.586 * [taylor]: Taking taylor expansion of 2.0 in n 0.586 * [taylor]: Taking taylor expansion of (* n PI) in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.586 * [taylor]: Taking taylor expansion of 2.0 in n 0.586 * [taylor]: Taking taylor expansion of (* n PI) in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.588 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.588 * [taylor]: Taking taylor expansion of 2.0 in n 0.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.588 * [taylor]: Taking taylor expansion of PI in n 0.588 * [taylor]: Taking taylor expansion of n in n 0.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.588 * [taylor]: Taking taylor expansion of 2.0 in n 0.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.588 * [taylor]: Taking taylor expansion of PI in n 0.588 * [taylor]: Taking taylor expansion of n in n 0.589 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.589 * [taylor]: Taking taylor expansion of -2.0 in n 0.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.589 * [taylor]: Taking taylor expansion of -2.0 in n 0.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.590 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.591 * [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 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.591 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.591 * [taylor]: Taking taylor expansion of k in n 0.591 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.591 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.591 * [taylor]: Taking taylor expansion of 0.5 in n 0.591 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of k in n 0.591 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.591 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.591 * [taylor]: Taking taylor expansion of 2.0 in n 0.591 * [taylor]: Taking taylor expansion of (* n PI) in n 0.591 * [taylor]: Taking taylor expansion of n in n 0.591 * [taylor]: Taking taylor expansion of PI in n 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.592 * [taylor]: Taking taylor expansion of 1.0 in k 0.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.592 * [taylor]: Taking taylor expansion of k in k 0.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.592 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.592 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.592 * [taylor]: Taking taylor expansion of 0.5 in k 0.592 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.592 * [taylor]: Taking taylor expansion of 1.0 in k 0.592 * [taylor]: Taking taylor expansion of k in k 0.592 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.592 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.592 * [taylor]: Taking taylor expansion of 2.0 in k 0.592 * [taylor]: Taking taylor expansion of (* n PI) in k 0.592 * [taylor]: Taking taylor expansion of n in k 0.592 * [taylor]: Taking taylor expansion of PI in k 0.592 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.592 * [taylor]: Taking taylor expansion of 1.0 in k 0.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.592 * [taylor]: Taking taylor expansion of k in k 0.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.592 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.592 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.592 * [taylor]: Taking taylor expansion of 0.5 in k 0.592 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.592 * [taylor]: Taking taylor expansion of 1.0 in k 0.592 * [taylor]: Taking taylor expansion of k in k 0.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.593 * [taylor]: Taking taylor expansion of 2.0 in k 0.593 * [taylor]: Taking taylor expansion of (* n PI) in k 0.593 * [taylor]: Taking taylor expansion of n in k 0.593 * [taylor]: Taking taylor expansion of PI in k 0.593 * [taylor]: Taking taylor expansion of 0 in n 0.594 * [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 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.594 * [taylor]: Taking taylor expansion of NAN in n 0.594 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.595 * [taylor]: Taking taylor expansion of 0.5 in n 0.595 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.595 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.595 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log PI) in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.595 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.595 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log n) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.595 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.595 * [taylor]: Taking taylor expansion of 2.0 in n 0.601 * [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 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.601 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.601 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.601 * [taylor]: Taking taylor expansion of 2.0 in n 0.602 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.602 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.602 * [taylor]: Taking taylor expansion of 1.0 in n 0.602 * [taylor]: Taking taylor expansion of (log n) in n 0.602 * [taylor]: Taking taylor expansion of n in n 0.602 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.602 * [taylor]: Taking taylor expansion of 1.0 in n 0.602 * [taylor]: Taking taylor expansion of (log PI) in n 0.602 * [taylor]: Taking taylor expansion of PI in n 0.603 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.603 * [taylor]: Taking taylor expansion of NAN in n 0.603 * [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 0.603 * [taylor]: Taking taylor expansion of 0.5 in n 0.603 * [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 0.603 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.603 * [taylor]: Taking taylor expansion of 2.0 in n 0.603 * [taylor]: Taking taylor expansion of (* n PI) in n 0.603 * [taylor]: Taking taylor expansion of n in n 0.603 * [taylor]: Taking taylor expansion of PI in n 0.603 * [taylor]: Taking taylor expansion of NAN in n 0.603 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.603 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.603 * [taylor]: Taking taylor expansion of 0.5 in n 0.604 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.604 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.604 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.604 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.604 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [taylor]: Taking taylor expansion of (log n) in n 0.604 * [taylor]: Taking taylor expansion of n in n 0.604 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [taylor]: Taking taylor expansion of (log PI) in n 0.604 * [taylor]: Taking taylor expansion of PI in n 0.624 * [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 0.624 * [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 0.624 * [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 0.624 * [taylor]: Taking taylor expansion of 0.125 in n 0.624 * [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 0.624 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.624 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.624 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.624 * [taylor]: Taking taylor expansion of 2.0 in n 0.624 * [taylor]: Taking taylor expansion of (* n PI) in n 0.624 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of PI in n 0.624 * [taylor]: Taking taylor expansion of NAN in n 0.624 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.624 * [taylor]: Taking taylor expansion of 0.5 in n 0.625 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.625 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.625 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.625 * [taylor]: Taking taylor expansion of 2.0 in n 0.625 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.625 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (log n) in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.625 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (log PI) in n 0.625 * [taylor]: Taking taylor expansion of PI in n 0.626 * [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 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [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 0.626 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.626 * [taylor]: Taking taylor expansion of 0.5 in n 0.626 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.626 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.626 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.626 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.627 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (log n) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (log PI) in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.628 * [taylor]: Taking taylor expansion of NAN in n 0.628 * [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 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [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 0.628 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.628 * [taylor]: Taking taylor expansion of 2.0 in n 0.628 * [taylor]: Taking taylor expansion of (* n PI) in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.628 * [taylor]: Taking taylor expansion of NAN in n 0.628 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.628 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.628 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.628 * [taylor]: Taking taylor expansion of 2.0 in n 0.629 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (log n) in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (log PI) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.652 * [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 0.652 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.652 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.652 * [taylor]: Taking taylor expansion of 0.5 in n 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.652 * [taylor]: Taking taylor expansion of 2.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.652 * [taylor]: Taking taylor expansion of PI in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.653 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.653 * [taylor]: Taking taylor expansion of 0.5 in k 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.653 * [taylor]: Taking taylor expansion of 2.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.654 * [taylor]: Taking taylor expansion of PI in k 0.654 * [taylor]: Taking taylor expansion of n in k 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.654 * [taylor]: Taking taylor expansion of 1.0 in k 0.654 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.654 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.654 * [taylor]: Taking taylor expansion of k in k 0.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.654 * [taylor]: Taking taylor expansion of 0.5 in k 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.654 * [taylor]: Taking taylor expansion of 1.0 in k 0.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.654 * [taylor]: Taking taylor expansion of k in k 0.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.654 * [taylor]: Taking taylor expansion of 2.0 in k 0.654 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.654 * [taylor]: Taking taylor expansion of PI in k 0.654 * [taylor]: Taking taylor expansion of n in k 0.655 * [taylor]: Taking taylor expansion of 0 in n 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.655 * [taylor]: Taking taylor expansion of NAN in n 0.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.655 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.655 * [taylor]: Taking taylor expansion of 0.5 in n 0.655 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.655 * [taylor]: Taking taylor expansion of 2.0 in n 0.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.655 * [taylor]: Taking taylor expansion of PI in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.656 * [taylor]: Taking taylor expansion of k in n 0.657 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.657 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.657 * [taylor]: Taking taylor expansion of NAN in n 0.657 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.657 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.657 * [taylor]: Taking taylor expansion of 0.5 in n 0.657 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.657 * [taylor]: Taking taylor expansion of PI in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.658 * [taylor]: Taking taylor expansion of k in n 0.661 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.661 * [taylor]: Taking taylor expansion of 1.0 in n 0.661 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.661 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.661 * [taylor]: Taking taylor expansion of NAN in n 0.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.661 * [taylor]: Taking taylor expansion of 0.5 in n 0.661 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.661 * [taylor]: Taking taylor expansion of 2.0 in n 0.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.661 * [taylor]: Taking taylor expansion of PI in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.661 * [taylor]: Taking taylor expansion of 1.0 in n 0.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.661 * [taylor]: Taking taylor expansion of k in n 0.664 * [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 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.664 * [taylor]: Taking taylor expansion of 1.0 in n 0.664 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.664 * [taylor]: Taking taylor expansion of 0.5 in n 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.664 * [taylor]: Taking taylor expansion of k in n 0.664 * [taylor]: Taking taylor expansion of 1.0 in n 0.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.664 * [taylor]: Taking taylor expansion of -2.0 in n 0.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.664 * [taylor]: Taking taylor expansion of PI in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.664 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.664 * [taylor]: Taking taylor expansion of -1 in n 0.664 * [taylor]: Taking taylor expansion of k in n 0.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.665 * [taylor]: Taking taylor expansion of 1.0 in k 0.665 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.665 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.665 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.665 * [taylor]: Taking taylor expansion of 0.5 in k 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.665 * [taylor]: Taking taylor expansion of k in k 0.665 * [taylor]: Taking taylor expansion of 1.0 in k 0.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.665 * [taylor]: Taking taylor expansion of -2.0 in k 0.665 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.665 * [taylor]: Taking taylor expansion of PI in k 0.665 * [taylor]: Taking taylor expansion of n in k 0.665 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.665 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.665 * [taylor]: Taking taylor expansion of -1 in k 0.665 * [taylor]: Taking taylor expansion of k in k 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.666 * [taylor]: Taking taylor expansion of 1.0 in k 0.666 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.666 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.666 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.666 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.666 * [taylor]: Taking taylor expansion of 0.5 in k 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.666 * [taylor]: Taking taylor expansion of k in k 0.666 * [taylor]: Taking taylor expansion of 1.0 in k 0.666 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.666 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.666 * [taylor]: Taking taylor expansion of -2.0 in k 0.666 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.666 * [taylor]: Taking taylor expansion of PI in k 0.666 * [taylor]: Taking taylor expansion of n in k 0.666 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.666 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.666 * [taylor]: Taking taylor expansion of -1 in k 0.666 * [taylor]: Taking taylor expansion of k in k 0.667 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.667 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.667 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.667 * [taylor]: Taking taylor expansion of 0.5 in n 0.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.667 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.667 * [taylor]: Taking taylor expansion of -2.0 in n 0.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.667 * [taylor]: Taking taylor expansion of PI in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of NAN in n 0.668 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.669 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.669 * [taylor]: Taking taylor expansion of 1.0 in n 0.669 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.669 * [taylor]: Taking taylor expansion of 0.5 in n 0.669 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.669 * [taylor]: Taking taylor expansion of k in n 0.669 * [taylor]: Taking taylor expansion of 1.0 in n 0.669 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.669 * [taylor]: Taking taylor expansion of -2.0 in n 0.669 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.669 * [taylor]: Taking taylor expansion of PI in n 0.669 * [taylor]: Taking taylor expansion of n in n 0.669 * [taylor]: Taking taylor expansion of NAN in n 0.672 * [taylor]: Taking taylor expansion of 0 in n 0.675 * [taylor]: Taking taylor expansion of 0 in n 0.676 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.676 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.676 * [taylor]: Taking taylor expansion of 0.5 in k 0.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.676 * [taylor]: Taking taylor expansion of 1.0 in k 0.676 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.676 * [taylor]: Taking taylor expansion of 2.0 in k 0.676 * [taylor]: Taking taylor expansion of (* n PI) in k 0.676 * [taylor]: Taking taylor expansion of n in k 0.676 * [taylor]: Taking taylor expansion of PI in k 0.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.677 * [taylor]: Taking taylor expansion of 0.5 in n 0.677 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.677 * [taylor]: Taking taylor expansion of 1.0 in n 0.677 * [taylor]: Taking taylor expansion of k in n 0.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.677 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.677 * [taylor]: Taking taylor expansion of 2.0 in n 0.677 * [taylor]: Taking taylor expansion of (* n PI) in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.677 * [taylor]: Taking taylor expansion of PI in n 0.677 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.677 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.677 * [taylor]: Taking taylor expansion of 0.5 in n 0.677 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.677 * [taylor]: Taking taylor expansion of 1.0 in n 0.677 * [taylor]: Taking taylor expansion of k in n 0.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.677 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.677 * [taylor]: Taking taylor expansion of 2.0 in n 0.677 * [taylor]: Taking taylor expansion of (* n PI) in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.677 * [taylor]: Taking taylor expansion of PI in n 0.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.678 * [taylor]: Taking taylor expansion of 0.5 in k 0.678 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.678 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.678 * [taylor]: Taking taylor expansion of 1.0 in k 0.678 * [taylor]: Taking taylor expansion of k in k 0.678 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.678 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.678 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.678 * [taylor]: Taking taylor expansion of 2.0 in k 0.678 * [taylor]: Taking taylor expansion of PI in k 0.678 * [taylor]: Taking taylor expansion of (log n) in k 0.678 * [taylor]: Taking taylor expansion of n in k 0.679 * [taylor]: Taking taylor expansion of 0 in k 0.681 * [taylor]: Taking taylor expansion of 0 in k 0.684 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.684 * [taylor]: Taking taylor expansion of 0.5 in k 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.684 * [taylor]: Taking taylor expansion of 1.0 in k 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.684 * [taylor]: Taking taylor expansion of k in k 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.684 * [taylor]: Taking taylor expansion of 2.0 in k 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.684 * [taylor]: Taking taylor expansion of PI in k 0.684 * [taylor]: Taking taylor expansion of n in k 0.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of 2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.685 * [taylor]: Taking taylor expansion of PI in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.685 * [taylor]: Taking taylor expansion of 0.5 in n 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.685 * [taylor]: Taking taylor expansion of 1.0 in n 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.685 * [taylor]: Taking taylor expansion of k in n 0.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.685 * [taylor]: Taking taylor expansion of 2.0 in n 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.685 * [taylor]: Taking taylor expansion of PI in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.686 * [taylor]: Taking taylor expansion of 0.5 in k 0.686 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.686 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.686 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.686 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.686 * [taylor]: Taking taylor expansion of 2.0 in k 0.686 * [taylor]: Taking taylor expansion of PI in k 0.686 * [taylor]: Taking taylor expansion of (log n) in k 0.686 * [taylor]: Taking taylor expansion of n in k 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.686 * [taylor]: Taking taylor expansion of 1.0 in k 0.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.686 * [taylor]: Taking taylor expansion of k in k 0.687 * [taylor]: Taking taylor expansion of 0 in k 0.688 * [taylor]: Taking taylor expansion of 0 in k 0.689 * [taylor]: Taking taylor expansion of 0 in k 0.689 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.689 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.690 * [taylor]: Taking taylor expansion of 0.5 in k 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.690 * [taylor]: Taking taylor expansion of k in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.690 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.690 * [taylor]: Taking taylor expansion of -2.0 in k 0.690 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.690 * [taylor]: Taking taylor expansion of PI in k 0.690 * [taylor]: Taking taylor expansion of n in k 0.690 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.690 * [taylor]: Taking taylor expansion of 0.5 in n 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.690 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.690 * [taylor]: Taking taylor expansion of -2.0 in n 0.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.690 * [taylor]: Taking taylor expansion of PI in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.691 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.691 * [taylor]: Taking taylor expansion of 0.5 in n 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.691 * [taylor]: Taking taylor expansion of k in n 0.691 * [taylor]: Taking taylor expansion of 1.0 in n 0.691 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.691 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.691 * [taylor]: Taking taylor expansion of -2.0 in n 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.691 * [taylor]: Taking taylor expansion of 0.5 in k 0.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of 1.0 in k 0.692 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.692 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.692 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.692 * [taylor]: Taking taylor expansion of -2.0 in k 0.692 * [taylor]: Taking taylor expansion of PI in k 0.692 * [taylor]: Taking taylor expansion of (log n) in k 0.692 * [taylor]: Taking taylor expansion of n in k 0.693 * [taylor]: Taking taylor expansion of 0 in k 0.694 * [taylor]: Taking taylor expansion of 0 in k 0.697 * [taylor]: Taking taylor expansion of 0 in k 0.697 * * * [progress]: simplifying candidates 0.700 * [simplify]: Simplifying using # : (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (log.f64 (/.f64 1.0 (sqrt.f64 k))) (exp.f64 (/.f64 1.0 (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 1.0 1.0) 1.0) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 1.0 (sqrt.f64 k))) (cbrt.f64 (/.f64 1.0 (sqrt.f64 k)))) (cbrt.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (/.f64 1.0 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 k))) (sqrt.f64 (/.f64 1.0 (sqrt.f64 k))) (sqrt.f64 (/.f64 1.0 (sqrt.f64 k))) (neg.f64 1.0) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 1)) (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) 1) (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (/.f64 (sqrt.f64 1.0) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 1)) (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) 1) (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 1.0 (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 1.0 (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 1.0 (sqrt.f64 k)) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1 1) (/.f64 1.0 (sqrt.f64 k)) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) 1.0) (/.f64 1.0 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 1.0 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 1)) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 1) (/.f64 (sqrt.f64 k) (cbrt.f64 1.0)) (/.f64 (sqrt.f64 k) (sqrt.f64 1.0)) (/.f64 (sqrt.f64 k) 1.0) (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2.0 2.0) 2.0) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 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k) 2.0))) (*.f64 (sqrt.f64 (/.f64 1.0 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (cbrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (sqrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 (sqrt.f64 (cbrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (/.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0)) (sqrt.f64 k)) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (-.f64 1.0 k) 2.0)) (/.f64 (-.f64 1.0 k) 2.0) (/.f64 (-.f64 1.0 k) 2.0) (/.f64 (-.f64 1.0 k) 2.0) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1.0 k) 2.0)) (cbrt.f64 (/.f64 (-.f64 1.0 k) 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k))) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k))) (sqrt.f64 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1.0 k)) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1.0 k)) (sqrt.f64 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (sqrt.f64 (-.f64 1.0 k))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1 (sqrt.f64 2.0))) (*.f64 (*.f64 2.0 PI.f64) n) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 k) (sqrt.f64 1.0)) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 k) (sqrt.f64 1.0)) (sqrt.f64 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (+.f64 (sqrt.f64 k) (sqrt.f64 1.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1 (sqrt.f64 2.0))) (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (-.f64 1.0 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (-.f64 1.0 k) 2.0)) (exp.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0)) 3) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)) (*.f64 1.0 (+.f64 (*.f64 (*.f64 k k) (pow.f64 NAN.f64 5)) (+.f64 NAN.f64 (*.f64 k (pow.f64 NAN.f64 3))))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 k 3)) (+.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 k k)) (/.f64 NAN.f64 k)))) (+.f64 (*.f64 1.0 (/.f64 NAN.f64 k)) (/.f64 1.0 NAN.f64)) (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (-.f64 (+.f64 (*.f64 0.125 (*.f64 (*.f64 (*.f64 k k) (*.f64 NAN.f64 (pow.f64 (log.f64 (*.f64 2.0 PI.f64)) 2))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5))) (+.f64 (*.f64 0.25 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5) (*.f64 NAN.f64 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5) (+.f64 (*.f64 1.0 (*.f64 k (pow.f64 NAN.f64 3))) (*.f64 0.125 (*.f64 (*.f64 k k) (*.f64 NAN.f64 (pow.f64 (log.f64 n) 2)))))) (*.f64 1.0 (+.f64 (*.f64 (*.f64 (*.f64 k k) (pow.f64 NAN.f64 5)) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5)) (*.f64 NAN.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5))))))) (+.f64 (*.f64 0.5 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5) (+.f64 (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (pow.f64 NAN.f64 3))) (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (pow.f64 NAN.f64 3)))))) (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5) (+.f64 (*.f64 0.5 (*.f64 k (*.f64 (log.f64 (*.f64 2.0 PI.f64)) NAN.f64))) (*.f64 0.5 (*.f64 k (*.f64 (log.f64 n) NAN.f64))))))) (*.f64 1.0 (+.f64 (/.f64 (*.f64 NAN.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (-.f64 1.0 k)) 0.5)) k) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (-.f64 1.0 k)) 0.5)) (*.f64 k k)) (/.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (-.f64 1.0 k)) 0.5)) (pow.f64 k 3))))) (*.f64 1.0 (+.f64 (/.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n)))))) NAN.f64) (*.f64 (/.f64 NAN.f64 k) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n))))))))) (+.f64 (*.f64 (*.f64 (*.f64 k k) 0.125) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 2.0 PI.f64)) 2) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5)) (*.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5)))) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5) (*.f64 0.25 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (*.f64 (log.f64 n) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5)))))) (*.f64 (*.f64 k 0.5) (+.f64 (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5)) (*.f64 (log.f64 n) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5)))))) (pow.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (-.f64 1.0 k)) 0.5) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n)))))) 0.754 * * * [progress]: adding candidates to table 0.940 * * [progress]: iteration 2 / 4 0.940 * * * [progress]: picking best candidate 0.963 * * * * [pick]: Picked # 0.963 * * * [progress]: localizing error 0.980 * * * [progress]: generating rewritten candidates 0.980 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.987 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.992 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.003 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.016 * * * [progress]: generating series expansions 1.016 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.016 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.016 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.016 * [taylor]: Taking taylor expansion of 2.0 in n 1.016 * [taylor]: Taking taylor expansion of (* n PI) in n 1.016 * [taylor]: Taking taylor expansion of n in n 1.016 * [taylor]: Taking taylor expansion of PI in n 1.016 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.016 * [taylor]: Taking taylor expansion of 2.0 in n 1.016 * [taylor]: Taking taylor expansion of (* n PI) in n 1.016 * [taylor]: Taking taylor expansion of n in n 1.016 * [taylor]: Taking taylor expansion of PI in n 1.017 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.017 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.018 * [taylor]: Taking taylor expansion of 2.0 in n 1.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.018 * [taylor]: Taking taylor expansion of PI in n 1.018 * [taylor]: Taking taylor expansion of n in n 1.018 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.018 * [taylor]: Taking taylor expansion of 2.0 in n 1.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.018 * [taylor]: Taking taylor expansion of PI in n 1.018 * [taylor]: Taking taylor expansion of n in n 1.019 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.019 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.019 * [taylor]: Taking taylor expansion of -2.0 in n 1.019 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.019 * [taylor]: Taking taylor expansion of PI in n 1.019 * [taylor]: Taking taylor expansion of n in n 1.019 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.019 * [taylor]: Taking taylor expansion of -2.0 in n 1.019 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.019 * [taylor]: Taking taylor expansion of PI in n 1.019 * [taylor]: Taking taylor expansion of n in n 1.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.020 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.020 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.020 * [taylor]: Taking taylor expansion of 2.0 in n 1.020 * [taylor]: Taking taylor expansion of (* n PI) in n 1.020 * [taylor]: Taking taylor expansion of n in n 1.020 * [taylor]: Taking taylor expansion of PI in n 1.020 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.020 * [taylor]: Taking taylor expansion of 2.0 in n 1.020 * [taylor]: Taking taylor expansion of (* n PI) in n 1.020 * [taylor]: Taking taylor expansion of n in n 1.020 * [taylor]: Taking taylor expansion of PI in n 1.022 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.022 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.022 * [taylor]: Taking taylor expansion of 2.0 in n 1.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.022 * [taylor]: Taking taylor expansion of PI in n 1.022 * [taylor]: Taking taylor expansion of n in n 1.022 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.022 * [taylor]: Taking taylor expansion of 2.0 in n 1.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.022 * [taylor]: Taking taylor expansion of PI in n 1.022 * [taylor]: Taking taylor expansion of n in n 1.023 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.023 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.023 * [taylor]: Taking taylor expansion of -2.0 in n 1.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.024 * [taylor]: Taking taylor expansion of PI in n 1.024 * [taylor]: Taking taylor expansion of n in n 1.024 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.024 * [taylor]: Taking taylor expansion of -2.0 in n 1.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.024 * [taylor]: Taking taylor expansion of PI in n 1.024 * [taylor]: Taking taylor expansion of n in n 1.025 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.025 * [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 1.025 * [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 1.025 * [taylor]: Taking taylor expansion of 1.0 in k 1.025 * [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 1.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.025 * [taylor]: Taking taylor expansion of k in k 1.026 * [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 1.026 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.026 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.026 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.026 * [taylor]: Taking taylor expansion of 0.5 in k 1.026 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.026 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.026 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.026 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.026 * [taylor]: Taking taylor expansion of 1.0 in k 1.026 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.026 * [taylor]: Taking taylor expansion of 2.0 in k 1.026 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.026 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.026 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.026 * [taylor]: Taking taylor expansion of 1.0 in k 1.026 * [taylor]: Taking taylor expansion of (log n) in k 1.026 * [taylor]: Taking taylor expansion of n in k 1.026 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.026 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.026 * [taylor]: Taking taylor expansion of 1.0 in k 1.026 * [taylor]: Taking taylor expansion of (log PI) in k 1.026 * [taylor]: Taking taylor expansion of PI in k 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.027 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.027 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.027 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.027 * [taylor]: Taking taylor expansion of 0.5 in k 1.027 * [taylor]: Taking taylor expansion of k in k 1.027 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.027 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.027 * [taylor]: Taking taylor expansion of 2.0 in k 1.027 * [taylor]: Taking taylor expansion of (* n PI) in k 1.027 * [taylor]: Taking taylor expansion of n in k 1.027 * [taylor]: Taking taylor expansion of PI in k 1.028 * [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 1.028 * [taylor]: Taking taylor expansion of 1.0 in n 1.028 * [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 1.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.028 * [taylor]: Taking taylor expansion of k in n 1.028 * [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 1.028 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.028 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.028 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.028 * [taylor]: Taking taylor expansion of 0.5 in n 1.028 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.028 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.028 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.028 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.028 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.028 * [taylor]: Taking taylor expansion of 1.0 in n 1.028 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.028 * [taylor]: Taking taylor expansion of 2.0 in n 1.028 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.028 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.028 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.028 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.029 * [taylor]: Taking taylor expansion of 1.0 in n 1.029 * [taylor]: Taking taylor expansion of (log n) in n 1.029 * [taylor]: Taking taylor expansion of n in n 1.029 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.029 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.029 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.029 * [taylor]: Taking taylor expansion of 1.0 in n 1.029 * [taylor]: Taking taylor expansion of (log PI) in n 1.029 * [taylor]: Taking taylor expansion of PI in n 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.030 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.030 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.030 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.030 * [taylor]: Taking taylor expansion of 0.5 in n 1.030 * [taylor]: Taking taylor expansion of k in n 1.030 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.030 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.030 * [taylor]: Taking taylor expansion of 2.0 in n 1.030 * [taylor]: Taking taylor expansion of (* n PI) in n 1.030 * [taylor]: Taking taylor expansion of n in n 1.030 * [taylor]: Taking taylor expansion of PI in n 1.031 * [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 1.031 * [taylor]: Taking taylor expansion of 1.0 in n 1.031 * [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 1.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.031 * [taylor]: Taking taylor expansion of k in n 1.031 * [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 1.031 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.031 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.031 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.031 * [taylor]: Taking taylor expansion of 0.5 in n 1.031 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.031 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.031 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.031 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.031 * [taylor]: Taking taylor expansion of 1.0 in n 1.031 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.031 * [taylor]: Taking taylor expansion of 2.0 in n 1.031 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.031 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.031 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.031 * [taylor]: Taking taylor expansion of 1.0 in n 1.031 * [taylor]: Taking taylor expansion of (log n) in n 1.031 * [taylor]: Taking taylor expansion of n in n 1.031 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.031 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.031 * [taylor]: Taking taylor expansion of 1.0 in n 1.031 * [taylor]: Taking taylor expansion of (log PI) in n 1.031 * [taylor]: Taking taylor expansion of PI in n 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.033 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.033 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.033 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.033 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.033 * [taylor]: Taking taylor expansion of 0.5 in n 1.033 * [taylor]: Taking taylor expansion of k in n 1.033 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.033 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.033 * [taylor]: Taking taylor expansion of 2.0 in n 1.033 * [taylor]: Taking taylor expansion of (* n PI) in n 1.033 * [taylor]: Taking taylor expansion of n in n 1.033 * [taylor]: Taking taylor expansion of PI in n 1.034 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.035 * [taylor]: Taking taylor expansion of 1.0 in k 1.035 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.035 * [taylor]: Taking taylor expansion of k in k 1.035 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.035 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.035 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.035 * [taylor]: Taking taylor expansion of 0.5 in k 1.035 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.035 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.035 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.035 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.035 * [taylor]: Taking taylor expansion of 1.0 in k 1.035 * [taylor]: Taking taylor expansion of (log PI) in k 1.035 * [taylor]: Taking taylor expansion of PI in k 1.035 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.035 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.035 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.035 * [taylor]: Taking taylor expansion of 1.0 in k 1.035 * [taylor]: Taking taylor expansion of (log n) in k 1.035 * [taylor]: Taking taylor expansion of n in k 1.035 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.035 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.035 * [taylor]: Taking taylor expansion of 1.0 in k 1.035 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.035 * [taylor]: Taking taylor expansion of 2.0 in k 1.036 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.036 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.036 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.037 * [taylor]: Taking taylor expansion of 0.5 in k 1.037 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.037 * [taylor]: Taking taylor expansion of k in k 1.037 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.037 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.037 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.037 * [taylor]: Taking taylor expansion of 2.0 in k 1.037 * [taylor]: Taking taylor expansion of PI in k 1.037 * [taylor]: Taking taylor expansion of (log n) in k 1.037 * [taylor]: Taking taylor expansion of n in k 1.042 * [taylor]: Taking taylor expansion of 0 in k 1.052 * [taylor]: Taking taylor expansion of 0 in k 1.073 * [taylor]: Taking taylor expansion of 0 in k 1.108 * [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 1.109 * [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 1.109 * [taylor]: Taking taylor expansion of 1.0 in k 1.109 * [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 1.109 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.109 * [taylor]: Taking taylor expansion of k in k 1.109 * [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 1.109 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.109 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.109 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.109 * [taylor]: Taking taylor expansion of 0.5 in k 1.109 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.109 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.109 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.109 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.109 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.109 * [taylor]: Taking taylor expansion of 1.0 in k 1.109 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.109 * [taylor]: Taking taylor expansion of 2.0 in k 1.109 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.109 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.109 * [taylor]: Taking taylor expansion of 1.0 in k 1.109 * [taylor]: Taking taylor expansion of (log PI) in k 1.109 * [taylor]: Taking taylor expansion of PI in k 1.109 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.109 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.109 * [taylor]: Taking taylor expansion of 1.0 in k 1.109 * [taylor]: Taking taylor expansion of (log n) in k 1.109 * [taylor]: Taking taylor expansion of n in k 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.111 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.111 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.111 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.111 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.111 * [taylor]: Taking taylor expansion of 0.5 in k 1.111 * [taylor]: Taking taylor expansion of k in k 1.111 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.111 * [taylor]: Taking taylor expansion of 2.0 in k 1.111 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.111 * [taylor]: Taking taylor expansion of PI in k 1.111 * [taylor]: Taking taylor expansion of n in k 1.111 * [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 1.111 * [taylor]: Taking taylor expansion of 1.0 in n 1.111 * [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 1.111 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.111 * [taylor]: Taking taylor expansion of k in n 1.111 * [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 1.111 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.111 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.111 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.111 * [taylor]: Taking taylor expansion of 0.5 in n 1.111 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.111 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.111 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.111 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.111 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.111 * [taylor]: Taking taylor expansion of 1.0 in n 1.111 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.111 * [taylor]: Taking taylor expansion of 2.0 in n 1.112 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.112 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.112 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.112 * [taylor]: Taking taylor expansion of 1.0 in n 1.112 * [taylor]: Taking taylor expansion of (log PI) in n 1.112 * [taylor]: Taking taylor expansion of PI in n 1.112 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.112 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.112 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.112 * [taylor]: Taking taylor expansion of 1.0 in n 1.112 * [taylor]: Taking taylor expansion of (log n) in n 1.112 * [taylor]: Taking taylor expansion of n in n 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.113 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.113 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.113 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.113 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.113 * [taylor]: Taking taylor expansion of 0.5 in n 1.113 * [taylor]: Taking taylor expansion of k in n 1.113 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.113 * [taylor]: Taking taylor expansion of 2.0 in n 1.113 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.113 * [taylor]: Taking taylor expansion of PI in n 1.113 * [taylor]: Taking taylor expansion of n in n 1.114 * [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 1.114 * [taylor]: Taking taylor expansion of 1.0 in n 1.114 * [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 1.114 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.114 * [taylor]: Taking taylor expansion of k in n 1.114 * [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 1.114 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.114 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.114 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.114 * [taylor]: Taking taylor expansion of 0.5 in n 1.114 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.114 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.114 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.114 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.114 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.114 * [taylor]: Taking taylor expansion of 1.0 in n 1.114 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.114 * [taylor]: Taking taylor expansion of 2.0 in n 1.114 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.114 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.114 * [taylor]: Taking taylor expansion of 1.0 in n 1.114 * [taylor]: Taking taylor expansion of (log PI) in n 1.114 * [taylor]: Taking taylor expansion of PI in n 1.114 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.114 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.114 * [taylor]: Taking taylor expansion of 1.0 in n 1.114 * [taylor]: Taking taylor expansion of (log n) in n 1.114 * [taylor]: Taking taylor expansion of n in n 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.116 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.116 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.116 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.116 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.116 * [taylor]: Taking taylor expansion of 0.5 in n 1.116 * [taylor]: Taking taylor expansion of k in n 1.116 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.116 * [taylor]: Taking taylor expansion of 2.0 in n 1.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.116 * [taylor]: Taking taylor expansion of PI in n 1.116 * [taylor]: Taking taylor expansion of n in n 1.117 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.117 * [taylor]: Taking taylor expansion of 1.0 in k 1.118 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.118 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.118 * [taylor]: Taking taylor expansion of k in k 1.118 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.118 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.118 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.118 * [taylor]: Taking taylor expansion of 0.5 in k 1.118 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.118 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.118 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.118 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.118 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.118 * [taylor]: Taking taylor expansion of 1.0 in k 1.118 * [taylor]: Taking taylor expansion of (log PI) in k 1.118 * [taylor]: Taking taylor expansion of PI in k 1.118 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.118 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.118 * [taylor]: Taking taylor expansion of 1.0 in k 1.118 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.118 * [taylor]: Taking taylor expansion of 2.0 in k 1.118 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.118 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.118 * [taylor]: Taking taylor expansion of 1.0 in k 1.118 * [taylor]: Taking taylor expansion of (log n) in k 1.118 * [taylor]: Taking taylor expansion of n in k 1.119 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.119 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.119 * [taylor]: Taking taylor expansion of 0.5 in k 1.119 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.119 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.119 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.119 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.120 * [taylor]: Taking taylor expansion of 2.0 in k 1.120 * [taylor]: Taking taylor expansion of PI in k 1.120 * [taylor]: Taking taylor expansion of (log n) in k 1.120 * [taylor]: Taking taylor expansion of n in k 1.120 * [taylor]: Taking taylor expansion of k in k 1.125 * [taylor]: Taking taylor expansion of 0 in k 1.134 * [taylor]: Taking taylor expansion of 0 in k 1.147 * [taylor]: Taking taylor expansion of 0 in k 1.159 * [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 1.159 * [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 1.159 * [taylor]: Taking taylor expansion of 1.0 in k 1.159 * [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 1.159 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.159 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.159 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.159 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.159 * [taylor]: Taking taylor expansion of -1 in k 1.160 * [taylor]: Taking taylor expansion of k in k 1.160 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.160 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.160 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.160 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.160 * [taylor]: Taking taylor expansion of -0.5 in k 1.160 * [taylor]: Taking taylor expansion of k in k 1.160 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.160 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.160 * [taylor]: Taking taylor expansion of -2.0 in k 1.160 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.160 * [taylor]: Taking taylor expansion of PI in k 1.160 * [taylor]: Taking taylor expansion of n in k 1.160 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.161 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.161 * [taylor]: Taking taylor expansion of 0.5 in k 1.161 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.161 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.161 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.161 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.161 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.161 * [taylor]: Taking taylor expansion of 1.0 in k 1.161 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.161 * [taylor]: Taking taylor expansion of -2.0 in k 1.161 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.161 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.161 * [taylor]: Taking taylor expansion of 1.0 in k 1.161 * [taylor]: Taking taylor expansion of (log PI) in k 1.161 * [taylor]: Taking taylor expansion of PI in k 1.161 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.161 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.161 * [taylor]: Taking taylor expansion of 1.0 in k 1.161 * [taylor]: Taking taylor expansion of (log n) in k 1.161 * [taylor]: Taking taylor expansion of n in k 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of 1.0 in n 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.162 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.162 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.162 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.162 * [taylor]: Taking taylor expansion of -1 in n 1.162 * [taylor]: Taking taylor expansion of k in n 1.163 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.163 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.163 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.163 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.163 * [taylor]: Taking taylor expansion of -0.5 in n 1.163 * [taylor]: Taking taylor expansion of k in n 1.163 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.163 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.163 * [taylor]: Taking taylor expansion of -2.0 in n 1.163 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.163 * [taylor]: Taking taylor expansion of PI in n 1.163 * [taylor]: Taking taylor expansion of n in n 1.163 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.163 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.163 * [taylor]: Taking taylor expansion of 0.5 in n 1.163 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.163 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.163 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.163 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.164 * [taylor]: Taking taylor expansion of 1.0 in n 1.164 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.164 * [taylor]: Taking taylor expansion of -2.0 in n 1.164 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.164 * [taylor]: Taking taylor expansion of 1.0 in n 1.164 * [taylor]: Taking taylor expansion of (log PI) in n 1.164 * [taylor]: Taking taylor expansion of PI in n 1.164 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.164 * [taylor]: Taking taylor expansion of 1.0 in n 1.164 * [taylor]: Taking taylor expansion of (log n) in n 1.164 * [taylor]: Taking taylor expansion of n in n 1.165 * [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 1.165 * [taylor]: Taking taylor expansion of 1.0 in n 1.165 * [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 1.165 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.165 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.165 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.165 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.165 * [taylor]: Taking taylor expansion of -1 in n 1.165 * [taylor]: Taking taylor expansion of k in n 1.165 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.165 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.166 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.166 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.166 * [taylor]: Taking taylor expansion of -0.5 in n 1.166 * [taylor]: Taking taylor expansion of k in n 1.166 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.166 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.166 * [taylor]: Taking taylor expansion of -2.0 in n 1.166 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.166 * [taylor]: Taking taylor expansion of PI in n 1.166 * [taylor]: Taking taylor expansion of n in n 1.166 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.166 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.166 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.166 * [taylor]: Taking taylor expansion of 0.5 in n 1.166 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.166 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.166 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.166 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.166 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.166 * [taylor]: Taking taylor expansion of 1.0 in n 1.166 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.166 * [taylor]: Taking taylor expansion of -2.0 in n 1.167 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.167 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.167 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.167 * [taylor]: Taking taylor expansion of 1.0 in n 1.167 * [taylor]: Taking taylor expansion of (log PI) in n 1.167 * [taylor]: Taking taylor expansion of PI in n 1.167 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.167 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.167 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.167 * [taylor]: Taking taylor expansion of 1.0 in n 1.167 * [taylor]: Taking taylor expansion of (log n) in n 1.167 * [taylor]: Taking taylor expansion of n in n 1.169 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.169 * [taylor]: Taking taylor expansion of 1.0 in k 1.169 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.169 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.169 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.169 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.169 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.169 * [taylor]: Taking taylor expansion of -0.5 in k 1.169 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.169 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.169 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.169 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.169 * [taylor]: Taking taylor expansion of -2.0 in k 1.169 * [taylor]: Taking taylor expansion of PI in k 1.170 * [taylor]: Taking taylor expansion of (log n) in k 1.170 * [taylor]: Taking taylor expansion of n in k 1.170 * [taylor]: Taking taylor expansion of k in k 1.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.170 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.170 * [taylor]: Taking taylor expansion of -1 in k 1.170 * [taylor]: Taking taylor expansion of k in k 1.170 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.170 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.170 * [taylor]: Taking taylor expansion of 0.5 in k 1.170 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.171 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.171 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.171 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.171 * [taylor]: Taking taylor expansion of 1.0 in k 1.171 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.171 * [taylor]: Taking taylor expansion of -2.0 in k 1.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.171 * [taylor]: Taking taylor expansion of 1.0 in k 1.171 * [taylor]: Taking taylor expansion of (log PI) in k 1.171 * [taylor]: Taking taylor expansion of PI in k 1.171 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.171 * [taylor]: Taking taylor expansion of 1.0 in k 1.171 * [taylor]: Taking taylor expansion of (log n) in k 1.171 * [taylor]: Taking taylor expansion of n in k 1.177 * [taylor]: Taking taylor expansion of 0 in k 1.188 * [taylor]: Taking taylor expansion of 0 in k 1.201 * [taylor]: Taking taylor expansion of 0 in k 1.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.203 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.203 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.203 * [taylor]: Taking taylor expansion of 0.5 in n 1.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.203 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.203 * [taylor]: Taking taylor expansion of 2.0 in n 1.203 * [taylor]: Taking taylor expansion of (* n PI) in n 1.203 * [taylor]: Taking taylor expansion of n in n 1.203 * [taylor]: Taking taylor expansion of PI in n 1.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.203 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.203 * [taylor]: Taking taylor expansion of 0.5 in n 1.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.203 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.203 * [taylor]: Taking taylor expansion of 2.0 in n 1.203 * [taylor]: Taking taylor expansion of (* n PI) in n 1.203 * [taylor]: Taking taylor expansion of n in n 1.203 * [taylor]: Taking taylor expansion of PI in n 1.211 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.211 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.211 * [taylor]: Taking taylor expansion of 0.5 in n 1.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.211 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.211 * [taylor]: Taking taylor expansion of 2.0 in n 1.211 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.211 * [taylor]: Taking taylor expansion of PI in n 1.211 * [taylor]: Taking taylor expansion of n in n 1.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.211 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.211 * [taylor]: Taking taylor expansion of 0.5 in n 1.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.211 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.211 * [taylor]: Taking taylor expansion of 2.0 in n 1.211 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.211 * [taylor]: Taking taylor expansion of PI in n 1.211 * [taylor]: Taking taylor expansion of n in n 1.218 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.219 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.219 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.219 * [taylor]: Taking taylor expansion of 0.5 in n 1.219 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.219 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.219 * [taylor]: Taking taylor expansion of -2.0 in n 1.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.219 * [taylor]: Taking taylor expansion of PI in n 1.219 * [taylor]: Taking taylor expansion of n in n 1.219 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.219 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.219 * [taylor]: Taking taylor expansion of 0.5 in n 1.219 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.219 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.219 * [taylor]: Taking taylor expansion of -2.0 in n 1.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.219 * [taylor]: Taking taylor expansion of PI in n 1.219 * [taylor]: Taking taylor expansion of n in n 1.226 * * * [progress]: simplifying candidates 1.228 * [simplify]: Simplifying using # : (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2.0 2.0) 2.0) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2.0 PI.f64) (*.f64 2.0 PI.f64)) (*.f64 2.0 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 2.0 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2.0 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2.0 PI.f64) 1) (*.f64 PI.f64 n) (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2.0 2.0) 2.0) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2.0 PI.f64) (*.f64 2.0 PI.f64)) (*.f64 2.0 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 2.0 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2.0 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2.0 PI.f64) 1) (*.f64 PI.f64 n) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 1.0 2.0))) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 1.0 2.0))) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 k 2.0)))) (-.f64 (+.f64 (log.f64 1.0) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (+.f64 (log.f64 1.0) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 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2.0 PI.f64) n) (/.f64 k 2.0))))) (-.f64 (log.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (log.f64 (/.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (exp.f64 (/.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (/.f64 (*.f64 (*.f64 (*.f64 1.0 1.0) 1.0) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k)) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (/.f64 (*.f64 (*.f64 (*.f64 1.0 1.0) 1.0) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (/.f64 (*.f64 (*.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k)) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (/.f64 (*.f64 (*.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) 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PI.f64) n) (/.f64 k 2.0)))) (/.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (/.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (sqrt.f64 (/.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (sqrt.f64 (/.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))))) (neg.f64 (*.f64 1.0 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (neg.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0)))) (/.f64 1.0 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 k 2.0))) (/.f64 1 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 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(cbrt.f64 1.0) (cbrt.f64 1.0)) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) 1)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (sqrt.f64 1.0) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (sqrt.f64 1.0) (sqrt.f64 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (sqrt.f64 1.0) 1)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1 (sqrt.f64 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 1.0) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1.0 2.0)) (pow.f64 n (/.f64 1.0 2.0)) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (exp.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 1.0 2.0))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 1.0 2.0) 2)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 1.0 2.0) 2)) (*.f64 2.0 (*.f64 n PI.f64)) (*.f64 2.0 (*.f64 n PI.f64)) (*.f64 2.0 (*.f64 n PI.f64)) (*.f64 2.0 (*.f64 n PI.f64)) (*.f64 2.0 (*.f64 n PI.f64)) (*.f64 2.0 (*.f64 n PI.f64)) (-.f64 (+.f64 (*.f64 0.25 (*.f64 (*.f64 NAN.f64 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)))) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (+.f64 (*.f64 1.0 (*.f64 (*.f64 (pow.f64 k 2) (pow.f64 NAN.f64 5)) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (+.f64 (*.f64 0.125 (*.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 n) 2) NAN.f64)) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5))) (+.f64 (*.f64 1.0 (*.f64 (*.f64 k (pow.f64 NAN.f64 3)) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (+.f64 (*.f64 1.0 (*.f64 NAN.f64 (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (*.f64 0.125 (*.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 (*.f64 2.0 PI.f64)) 2) NAN.f64)) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5)))))))) (+.f64 (*.f64 0.5 (*.f64 (*.f64 k (*.f64 (log.f64 (*.f64 2.0 PI.f64)) NAN.f64)) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (+.f64 (*.f64 0.5 (*.f64 (*.f64 k (*.f64 NAN.f64 (log.f64 n))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5))) (+.f64 (*.f64 0.5 (*.f64 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (pow.f64 NAN.f64 3))) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (*.f64 0.5 (*.f64 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 n) (pow.f64 NAN.f64 3))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5))))))) (+.f64 (*.f64 1.0 (*.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 k 2) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 (/.f64 1 n))) k))))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.5))) (+.f64 (*.f64 1.0 (*.f64 (/.f64 NAN.f64 (*.f64 k (exp.f64 (*.f64 0.5 (*.f64 (-.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 (/.f64 1 n))) k))))) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (*.f64 1.0 (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 k 3) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 (/.f64 1 n))) k))))) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))))) (+.f64 (*.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 -2.0 1.0) (pow.f64 n 1.0))) (pow.f64 -1 1.0)) 0.5) (/.f64 NAN.f64 (*.f64 k (exp.f64 (*.f64 0.5 (*.f64 k (-.f64 (log.f64 (*.f64 -2.0 PI.f64)) (log.f64 (/.f64 -1 n)))))))))) (*.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 -2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) (pow.f64 -1 1.0)) 0.5) (/.f64 1 (*.f64 (exp.f64 (*.f64 0.5 (*.f64 k (-.f64 (log.f64 (*.f64 -2.0 PI.f64)) (log.f64 (/.f64 -1 n)))))) NAN.f64))))) (exp.f64 (*.f64 0.5 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)))) (exp.f64 (*.f64 0.5 (-.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 (/.f64 1 n))))) (exp.f64 (*.f64 0.5 (-.f64 (log.f64 (*.f64 -2.0 PI.f64)) (log.f64 (/.f64 -1 n))))) 1.276 * * [simplify]: iteration 0 : 4986 enodes (cost 2219 ) 1.276 * * [simplify]: iteration 1 : 4986 enodes (cost 2219 ) 1.284 * [simplify]: Simplified to: (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 3) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 3) (*.f64 (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 3) (sqrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (*.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2.0 PI.f64) (sqrt.f64 n)) (*.f64 2.0 PI.f64) (*.f64 PI.f64 n) (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 (*.f64 2.0 PI.f64) n) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (exp.f64 (*.f64 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k) (*.f64 (log.f64 n) (pow.f64 NAN.f64 3)))))) (*.f64 (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5) (+.f64 (*.f64 0.5 (*.f64 k (*.f64 (log.f64 (*.f64 2.0 PI.f64)) NAN.f64))) (*.f64 0.5 (*.f64 k (*.f64 (log.f64 n) NAN.f64))))))) (*.f64 1.0 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5) (/.f64 (pow.f64 NAN.f64 3) (*.f64 (*.f64 k k) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 k 0.5))))) (*.f64 (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5) (+.f64 (/.f64 NAN.f64 (*.f64 k (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 k 0.5)))) (/.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (*.f64 k 0.5)) (pow.f64 k 3))))))) (*.f64 (*.f64 1.0 (pow.f64 (/.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 -2.0 1.0))) (pow.f64 -1 1.0)) 0.5)) (+.f64 (/.f64 NAN.f64 (*.f64 k (exp.f64 (*.f64 0.5 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n)))))))) (/.f64 (exp.f64 (neg.f64 (*.f64 0.5 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n))))))) NAN.f64))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) 0.5) (exp.f64 (*.f64 0.5 (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n))))) 1.284 * * * [progress]: adding candidates to table 1.383 * * [progress]: iteration 3 / 4 1.383 * * * [progress]: picking best candidate 1.403 * * * * [pick]: Picked # 1.404 * * * [progress]: localizing error 1.419 * * * [progress]: generating rewritten candidates 1.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.423 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.437 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.442 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.452 * * * [progress]: generating series expansions 1.452 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.452 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.452 * [taylor]: Taking taylor expansion of 1.0 in k 1.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.452 * [taylor]: Taking taylor expansion of k in k 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.452 * [taylor]: Taking taylor expansion of 1.0 in k 1.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.452 * [taylor]: Taking taylor expansion of k in k 1.454 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.454 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.454 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.455 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.455 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.455 * [taylor]: Taking taylor expansion of 1.0 in k 1.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.455 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.455 * [taylor]: Taking taylor expansion of -1 in k 1.455 * [taylor]: Taking taylor expansion of k in k 1.456 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.456 * [taylor]: Taking taylor expansion of 1.0 in k 1.456 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.456 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.456 * [taylor]: Taking taylor expansion of -1 in k 1.456 * [taylor]: Taking taylor expansion of k in k 1.462 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.462 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in (k n) around 0 1.462 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in n 1.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.462 * [taylor]: Taking taylor expansion of k in n 1.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.462 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.462 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.462 * [taylor]: Taking taylor expansion of 0.25 in n 1.462 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of k in n 1.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.462 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.462 * [taylor]: Taking taylor expansion of 2.0 in n 1.462 * [taylor]: Taking taylor expansion of (* n PI) in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.463 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in k 1.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.463 * [taylor]: Taking taylor expansion of k in k 1.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.463 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.463 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.463 * [taylor]: Taking taylor expansion of 0.25 in k 1.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.463 * [taylor]: Taking taylor expansion of k in k 1.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.463 * [taylor]: Taking taylor expansion of 2.0 in k 1.463 * [taylor]: Taking taylor expansion of (* n PI) in k 1.463 * [taylor]: Taking taylor expansion of n in k 1.463 * [taylor]: Taking taylor expansion of PI in k 1.463 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in k 1.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.464 * [taylor]: Taking taylor expansion of k in k 1.464 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.464 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.464 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.464 * [taylor]: Taking taylor expansion of 0.25 in k 1.464 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.464 * [taylor]: Taking taylor expansion of 1.0 in k 1.464 * [taylor]: Taking taylor expansion of k in k 1.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.464 * [taylor]: Taking taylor expansion of 2.0 in k 1.464 * [taylor]: Taking taylor expansion of (* n PI) in k 1.464 * [taylor]: Taking taylor expansion of n in k 1.464 * [taylor]: Taking taylor expansion of PI in k 1.464 * [taylor]: Taking taylor expansion of 0 in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 1.466 * [taylor]: Taking taylor expansion of NAN in n 1.466 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.466 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.466 * [taylor]: Taking taylor expansion of 0.25 in n 1.466 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.466 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.466 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (log PI) in n 1.466 * [taylor]: Taking taylor expansion of PI in n 1.466 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.466 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (log n) in n 1.466 * [taylor]: Taking taylor expansion of n in n 1.466 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.466 * [taylor]: Taking taylor expansion of 2.0 in n 1.472 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 1.472 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) in n 1.472 * [taylor]: Taking taylor expansion of 1.0 in n 1.472 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3)) in n 1.472 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.472 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.472 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.472 * [taylor]: Taking taylor expansion of 0.25 in n 1.472 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.472 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.472 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.472 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.472 * [taylor]: Taking taylor expansion of 1.0 in n 1.473 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.473 * [taylor]: Taking taylor expansion of 2.0 in n 1.473 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.473 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.473 * [taylor]: Taking taylor expansion of 1.0 in n 1.473 * [taylor]: Taking taylor expansion of (log n) in n 1.473 * [taylor]: Taking taylor expansion of n in n 1.473 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.473 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.473 * [taylor]: Taking taylor expansion of 1.0 in n 1.473 * [taylor]: Taking taylor expansion of (log PI) in n 1.473 * [taylor]: Taking taylor expansion of PI in n 1.475 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.475 * [taylor]: Taking taylor expansion of NAN in n 1.475 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 1.475 * [taylor]: Taking taylor expansion of 0.25 in n 1.475 * [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))) 0.25)) in n 1.475 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 1.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.475 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.475 * [taylor]: Taking taylor expansion of 2.0 in n 1.475 * [taylor]: Taking taylor expansion of (* n PI) in n 1.475 * [taylor]: Taking taylor expansion of n in n 1.475 * [taylor]: Taking taylor expansion of PI in n 1.475 * [taylor]: Taking taylor expansion of NAN in n 1.475 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.475 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.475 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.475 * [taylor]: Taking taylor expansion of 0.25 in n 1.475 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.475 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.475 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.475 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.475 * [taylor]: Taking taylor expansion of 1.0 in n 1.475 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.475 * [taylor]: Taking taylor expansion of 2.0 in n 1.475 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.475 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.475 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.475 * [taylor]: Taking taylor expansion of 1.0 in n 1.475 * [taylor]: Taking taylor expansion of (log n) in n 1.475 * [taylor]: Taking taylor expansion of n in n 1.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.476 * [taylor]: Taking taylor expansion of 1.0 in n 1.476 * [taylor]: Taking taylor expansion of (log PI) in n 1.476 * [taylor]: Taking taylor expansion of PI in n 1.491 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 1.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 1.491 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) in n 1.491 * [taylor]: Taking taylor expansion of 1.0 in n 1.491 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5)) in n 1.491 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.491 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.491 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.491 * [taylor]: Taking taylor expansion of 0.25 in n 1.491 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.491 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.491 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.491 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.491 * [taylor]: Taking taylor expansion of 1.0 in n 1.491 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.491 * [taylor]: Taking taylor expansion of 2.0 in n 1.491 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.491 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.491 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.492 * [taylor]: Taking taylor expansion of 1.0 in n 1.492 * [taylor]: Taking taylor expansion of (log n) in n 1.492 * [taylor]: Taking taylor expansion of n in n 1.492 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.492 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.492 * [taylor]: Taking taylor expansion of 1.0 in n 1.492 * [taylor]: Taking taylor expansion of (log PI) in n 1.492 * [taylor]: Taking taylor expansion of PI in n 1.493 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.493 * [taylor]: Taking taylor expansion of NAN in n 1.493 * [taylor]: Taking taylor expansion of (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 1.493 * [taylor]: Taking taylor expansion of 0.03125 in n 1.493 * [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))) 0.25)) in n 1.493 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 1.493 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.493 * [taylor]: Taking taylor expansion of 2.0 in n 1.493 * [taylor]: Taking taylor expansion of (* n PI) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.493 * [taylor]: Taking taylor expansion of PI in n 1.493 * [taylor]: Taking taylor expansion of NAN in n 1.493 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.493 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.493 * [taylor]: Taking taylor expansion of 0.25 in n 1.493 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.493 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.493 * [taylor]: Taking taylor expansion of 1.0 in n 1.493 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.493 * [taylor]: Taking taylor expansion of 2.0 in n 1.494 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.494 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.494 * [taylor]: Taking taylor expansion of 1.0 in n 1.494 * [taylor]: Taking taylor expansion of (log n) in n 1.494 * [taylor]: Taking taylor expansion of n in n 1.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.494 * [taylor]: Taking taylor expansion of 1.0 in n 1.494 * [taylor]: Taking taylor expansion of (log PI) in n 1.494 * [taylor]: Taking taylor expansion of PI in n 1.495 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 1.495 * [taylor]: Taking taylor expansion of 0.25 in n 1.495 * [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))) 0.25)) in n 1.495 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 1.495 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.495 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.495 * [taylor]: Taking taylor expansion of 2.0 in n 1.495 * [taylor]: Taking taylor expansion of (* n PI) in n 1.495 * [taylor]: Taking taylor expansion of n in n 1.495 * [taylor]: Taking taylor expansion of PI in n 1.495 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.495 * [taylor]: Taking taylor expansion of NAN in n 1.495 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.495 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.495 * [taylor]: Taking taylor expansion of 0.25 in n 1.495 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.495 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.495 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.495 * [taylor]: Taking taylor expansion of 1.0 in n 1.495 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.496 * [taylor]: Taking taylor expansion of 2.0 in n 1.496 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (log n) in n 1.496 * [taylor]: Taking taylor expansion of n in n 1.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (log PI) in n 1.496 * [taylor]: Taking taylor expansion of PI in n 1.520 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in (k n) around 0 1.520 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in n 1.520 * [taylor]: Taking taylor expansion of 1.0 in n 1.520 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in n 1.520 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.520 * [taylor]: Taking taylor expansion of k in n 1.520 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.521 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.521 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.521 * [taylor]: Taking taylor expansion of 0.25 in n 1.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.521 * [taylor]: Taking taylor expansion of 1.0 in n 1.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.521 * [taylor]: Taking taylor expansion of k in n 1.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.521 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.521 * [taylor]: Taking taylor expansion of 2.0 in n 1.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.521 * [taylor]: Taking taylor expansion of PI in n 1.521 * [taylor]: Taking taylor expansion of n in n 1.521 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 1.521 * [taylor]: Taking taylor expansion of 1.0 in k 1.521 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 1.521 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.521 * [taylor]: Taking taylor expansion of k in k 1.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.521 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.522 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.522 * [taylor]: Taking taylor expansion of 0.25 in k 1.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.522 * [taylor]: Taking taylor expansion of 1.0 in k 1.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.522 * [taylor]: Taking taylor expansion of k in k 1.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.522 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.522 * [taylor]: Taking taylor expansion of 2.0 in k 1.522 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.522 * [taylor]: Taking taylor expansion of PI in k 1.522 * [taylor]: Taking taylor expansion of n in k 1.522 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 1.522 * [taylor]: Taking taylor expansion of 1.0 in k 1.522 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 1.522 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.522 * [taylor]: Taking taylor expansion of k in k 1.522 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.522 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.522 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.522 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.522 * [taylor]: Taking taylor expansion of 0.25 in k 1.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.522 * [taylor]: Taking taylor expansion of 1.0 in k 1.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.522 * [taylor]: Taking taylor expansion of k in k 1.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.522 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.522 * [taylor]: Taking taylor expansion of 2.0 in k 1.522 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.522 * [taylor]: Taking taylor expansion of PI in k 1.522 * [taylor]: Taking taylor expansion of n in k 1.523 * [taylor]: Taking taylor expansion of 0 in n 1.523 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.523 * [taylor]: Taking taylor expansion of 1.0 in n 1.523 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.523 * [taylor]: Taking taylor expansion of NAN in n 1.523 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.523 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.523 * [taylor]: Taking taylor expansion of 0.25 in n 1.523 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.523 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.523 * [taylor]: Taking taylor expansion of 2.0 in n 1.523 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.523 * [taylor]: Taking taylor expansion of PI in n 1.523 * [taylor]: Taking taylor expansion of n in n 1.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.524 * [taylor]: Taking taylor expansion of 1.0 in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.524 * [taylor]: Taking taylor expansion of k in n 1.525 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.525 * [taylor]: Taking taylor expansion of 1.0 in n 1.525 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.525 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.525 * [taylor]: Taking taylor expansion of NAN in n 1.525 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.525 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.525 * [taylor]: Taking taylor expansion of 0.25 in n 1.525 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.525 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.525 * [taylor]: Taking taylor expansion of 2.0 in n 1.525 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.525 * [taylor]: Taking taylor expansion of PI in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.525 * [taylor]: Taking taylor expansion of 1.0 in n 1.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.525 * [taylor]: Taking taylor expansion of k in n 1.529 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.529 * [taylor]: Taking taylor expansion of 1.0 in n 1.529 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.529 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.529 * [taylor]: Taking taylor expansion of NAN in n 1.529 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.529 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.529 * [taylor]: Taking taylor expansion of 0.25 in n 1.529 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.529 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.529 * [taylor]: Taking taylor expansion of 2.0 in n 1.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.529 * [taylor]: Taking taylor expansion of PI in n 1.529 * [taylor]: Taking taylor expansion of n in n 1.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.529 * [taylor]: Taking taylor expansion of 1.0 in n 1.529 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.529 * [taylor]: Taking taylor expansion of k in n 1.531 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 1.531 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.531 * [taylor]: Taking taylor expansion of 1.0 in n 1.531 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.531 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.532 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.532 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.532 * [taylor]: Taking taylor expansion of 0.25 in n 1.532 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.532 * [taylor]: Taking taylor expansion of k in n 1.532 * [taylor]: Taking taylor expansion of 1.0 in n 1.532 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.532 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.532 * [taylor]: Taking taylor expansion of -2.0 in n 1.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.532 * [taylor]: Taking taylor expansion of PI in n 1.532 * [taylor]: Taking taylor expansion of n in n 1.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.532 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.532 * [taylor]: Taking taylor expansion of -1 in n 1.532 * [taylor]: Taking taylor expansion of k in n 1.533 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.533 * [taylor]: Taking taylor expansion of 1.0 in k 1.533 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.533 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.533 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.533 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.533 * [taylor]: Taking taylor expansion of 0.25 in k 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.533 * [taylor]: Taking taylor expansion of k in k 1.533 * [taylor]: Taking taylor expansion of 1.0 in k 1.533 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.533 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.533 * [taylor]: Taking taylor expansion of -2.0 in k 1.533 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.533 * [taylor]: Taking taylor expansion of PI in k 1.533 * [taylor]: Taking taylor expansion of n in k 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.533 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.533 * [taylor]: Taking taylor expansion of -1 in k 1.533 * [taylor]: Taking taylor expansion of k in k 1.533 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.534 * [taylor]: Taking taylor expansion of 1.0 in k 1.534 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.534 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.534 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.534 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.534 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.534 * [taylor]: Taking taylor expansion of 0.25 in k 1.534 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.534 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.534 * [taylor]: Taking taylor expansion of k in k 1.534 * [taylor]: Taking taylor expansion of 1.0 in k 1.534 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.534 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.534 * [taylor]: Taking taylor expansion of -2.0 in k 1.534 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.534 * [taylor]: Taking taylor expansion of PI in k 1.534 * [taylor]: Taking taylor expansion of n in k 1.534 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.534 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.534 * [taylor]: Taking taylor expansion of -1 in k 1.534 * [taylor]: Taking taylor expansion of k in k 1.535 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.535 * [taylor]: Taking taylor expansion of 1.0 in n 1.535 * [taylor]: Taking taylor expansion of (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.535 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.535 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.535 * [taylor]: Taking taylor expansion of 0.25 in n 1.535 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.535 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.535 * [taylor]: Taking taylor expansion of k in n 1.535 * [taylor]: Taking taylor expansion of 1.0 in n 1.535 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.535 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.535 * [taylor]: Taking taylor expansion of -2.0 in n 1.535 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.535 * [taylor]: Taking taylor expansion of PI in n 1.535 * [taylor]: Taking taylor expansion of n in n 1.535 * [taylor]: Taking taylor expansion of NAN in n 1.536 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 1.536 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.536 * [taylor]: Taking taylor expansion of 1.0 in n 1.536 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.536 * [taylor]: Taking taylor expansion of NAN in n 1.536 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.536 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.536 * [taylor]: Taking taylor expansion of 0.25 in n 1.536 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.537 * [taylor]: Taking taylor expansion of k in n 1.537 * [taylor]: Taking taylor expansion of 1.0 in n 1.537 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.537 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.537 * [taylor]: Taking taylor expansion of -2.0 in n 1.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.537 * [taylor]: Taking taylor expansion of PI in n 1.537 * [taylor]: Taking taylor expansion of n in n 1.540 * [taylor]: Taking taylor expansion of 0 in n 1.543 * [taylor]: Taking taylor expansion of 0 in n 1.544 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.544 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.544 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.544 * [taylor]: Taking taylor expansion of 2.0 in n 1.544 * [taylor]: Taking taylor expansion of (* n PI) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of PI in n 1.544 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.544 * [taylor]: Taking taylor expansion of 2.0 in n 1.544 * [taylor]: Taking taylor expansion of (* n PI) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of PI in n 1.545 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.545 * [taylor]: Taking taylor expansion of 2.0 in n 1.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.545 * [taylor]: Taking taylor expansion of PI in n 1.545 * [taylor]: Taking taylor expansion of n in n 1.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.545 * [taylor]: Taking taylor expansion of 2.0 in n 1.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.545 * [taylor]: Taking taylor expansion of PI in n 1.545 * [taylor]: Taking taylor expansion of n in n 1.546 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.546 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.546 * [taylor]: Taking taylor expansion of -2.0 in n 1.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.546 * [taylor]: Taking taylor expansion of PI in n 1.546 * [taylor]: Taking taylor expansion of n in n 1.546 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.547 * [taylor]: Taking taylor expansion of -2.0 in n 1.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.547 * [taylor]: Taking taylor expansion of PI in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.548 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.548 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.548 * [taylor]: Taking taylor expansion of 2.0 in n 1.548 * [taylor]: Taking taylor expansion of (* n PI) in n 1.548 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of PI in n 1.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.548 * [taylor]: Taking taylor expansion of 2.0 in n 1.548 * [taylor]: Taking taylor expansion of (* n PI) in n 1.548 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of PI in n 1.549 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.549 * [taylor]: Taking taylor expansion of 2.0 in n 1.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.549 * [taylor]: Taking taylor expansion of PI in n 1.549 * [taylor]: Taking taylor expansion of n in n 1.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.549 * [taylor]: Taking taylor expansion of 2.0 in n 1.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.549 * [taylor]: Taking taylor expansion of PI in n 1.549 * [taylor]: Taking taylor expansion of n in n 1.550 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.550 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.550 * [taylor]: Taking taylor expansion of -2.0 in n 1.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.551 * [taylor]: Taking taylor expansion of PI in n 1.551 * [taylor]: Taking taylor expansion of n in n 1.551 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.551 * [taylor]: Taking taylor expansion of -2.0 in n 1.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.551 * [taylor]: Taking taylor expansion of PI in n 1.551 * [taylor]: Taking taylor expansion of n in n 1.552 * * * [progress]: simplifying candidates 1.554 * [simplify]: Simplifying using # : (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (log.f64 (/.f64 1.0 (sqrt.f64 k))) (exp.f64 (/.f64 1.0 (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 1.0 1.0) 1.0) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 1.0 (sqrt.f64 k))) (cbrt.f64 (/.f64 1.0 (sqrt.f64 k)))) (cbrt.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (/.f64 1.0 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 k))) (sqrt.f64 (/.f64 1.0 (sqrt.f64 k))) (sqrt.f64 (/.f64 1.0 (sqrt.f64 k))) (neg.f64 1.0) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 1)) (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 1.0) (cbrt.f64 1.0)) 1) (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (/.f64 (sqrt.f64 1.0) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 1)) (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 1.0) 1) (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 1.0 (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 1.0 (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 1.0 (sqrt.f64 k)) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1 1) (/.f64 1.0 (sqrt.f64 k)) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) 1.0) (/.f64 1.0 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 1.0 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 1)) (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (/.f64 1.0 1) (/.f64 (sqrt.f64 k) (cbrt.f64 1.0)) (/.f64 (sqrt.f64 k) (sqrt.f64 1.0)) (/.f64 (sqrt.f64 k) 1.0) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (+.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (+.f64 (log.f64 (*.f64 2.0 PI.f64)) (log.f64 n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2.0 PI.f64) n)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (log.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (log.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (exp.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (*.f64 (/.f64 (*.f64 (*.f64 1.0 1.0) 1.0) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (*.f64 (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (/.f64 1.0 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 k))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (cbrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))))) (cbrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (*.f64 (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (sqrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2.0 PI.f64) n) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (sqrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) 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(*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)))) (/.f64 1.0 (sqrt.f64 k)) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) (*.f64 4 2.0)))) (*.f64 (cbrt.f64 (/.f64 1.0 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (sqrt.f64 (/.f64 1.0 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (cbrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (cbrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (sqrt.f64 1.0) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (cbrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (sqrt.f64 (cbrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (/.f64 (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)) (sqrt.f64 k)) (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 1.0 2.0) 2))) (*.f64 1.0 (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 n (*.f64 2.0 PI.f64)) (log.f64 (*.f64 n (*.f64 2.0 PI.f64))) (log.f64 (*.f64 n (*.f64 2.0 PI.f64))) (log.f64 (*.f64 n (*.f64 2.0 PI.f64))) (exp.f64 (*.f64 n (*.f64 2.0 PI.f64))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) 3) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) 3) (*.f64 (cbrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (cbrt.f64 (*.f64 n (*.f64 2.0 PI.f64)))) (cbrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) 3) (sqrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (*.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2.0 PI.f64) (sqrt.f64 n)) (*.f64 2.0 PI.f64) (*.f64 PI.f64 n) (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 n (*.f64 2.0 PI.f64)) (log.f64 (*.f64 n (*.f64 2.0 PI.f64))) (log.f64 (*.f64 n (*.f64 2.0 PI.f64))) (log.f64 (*.f64 n (*.f64 2.0 PI.f64))) (exp.f64 (*.f64 n (*.f64 2.0 PI.f64))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) 3) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) 3) (*.f64 (cbrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (cbrt.f64 (*.f64 n (*.f64 2.0 PI.f64)))) (cbrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) 3) (sqrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2.0 PI.f64))) (*.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2.0 PI.f64) (sqrt.f64 n)) (*.f64 2.0 PI.f64) (*.f64 PI.f64 n) (*.f64 1.0 (+.f64 (*.f64 (*.f64 k k) (pow.f64 NAN.f64 5)) (+.f64 NAN.f64 (*.f64 k (pow.f64 NAN.f64 3))))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 k 3)) (+.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 k k)) (/.f64 NAN.f64 k)))) (+.f64 (*.f64 1.0 (/.f64 NAN.f64 k)) (/.f64 1.0 NAN.f64)) (-.f64 (+.f64 (*.f64 0.03125 (*.f64 (pow.f64 (log.f64 (*.f64 2.0 PI.f64)) 2) (*.f64 (*.f64 k k) (*.f64 NAN.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25))))) (+.f64 (+.f64 (*.f64 0.0625 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25) (*.f64 NAN.f64 (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (*.f64 (log.f64 n) (*.f64 k k)))))) (+.f64 (*.f64 1.0 (*.f64 (*.f64 k (pow.f64 NAN.f64 3)) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25))) (*.f64 0.03125 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25) (*.f64 (*.f64 k k) (*.f64 NAN.f64 (pow.f64 (log.f64 n) 2))))))) (*.f64 1.0 (+.f64 (*.f64 NAN.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25)) (*.f64 (*.f64 (*.f64 k k) (pow.f64 NAN.f64 5)) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25)))))) (+.f64 (*.f64 0.25 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25) (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (pow.f64 NAN.f64 3))))) (*.f64 0.25 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25) (*.f64 k (*.f64 (log.f64 n) NAN.f64))) (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 PI.f64 1.0))) 0.25) (+.f64 (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (*.f64 k (*.f64 k (pow.f64 NAN.f64 3)))) (*.f64 k (*.f64 (log.f64 (*.f64 2.0 PI.f64)) NAN.f64)))))))) (*.f64 1.0 (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 k k)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 (-.f64 1.0 k) 0.25))) (+.f64 (*.f64 (/.f64 NAN.f64 k) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 (-.f64 1.0 k) 0.25))) (*.f64 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 k 3)) (pow.f64 (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 (-.f64 1.0 k) 0.25)))))) (*.f64 1.0 (+.f64 (*.f64 (/.f64 NAN.f64 k) (exp.f64 (*.f64 0.25 (*.f64 (-.f64 1.0 k) (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n))))))) (/.f64 (exp.f64 (*.f64 0.25 (*.f64 (-.f64 1.0 k) (-.f64 (log.f64 (*.f64 PI.f64 -2.0)) (log.f64 (/.f64 -1 n)))))) NAN.f64))) (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 n (*.f64 2.0 PI.f64)) (*.f64 n (*.f64 2.0 PI.f64)) 1.591 * * * [progress]: adding candidates to table 1.785 * * [progress]: iteration 4 / 4 1.785 * * * [progress]: picking best candidate 1.807 * * * * [pick]: Picked # 1.807 * * * [progress]: localizing error 1.824 * * * [progress]: generating rewritten candidates 1.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.865 * * * [progress]: generating series expansions 1.865 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.866 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.866 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.866 * [taylor]: Taking taylor expansion of 2.0 in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.866 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.866 * [taylor]: Taking taylor expansion of 2.0 in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.869 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.869 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.870 * [taylor]: Taking taylor expansion of 0.5 in k 1.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.870 * [taylor]: Taking taylor expansion of 1.0 in k 1.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.870 * [taylor]: Taking taylor expansion of k in k 1.870 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.870 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.870 * [taylor]: Taking taylor expansion of 2.0 in k 1.870 * [taylor]: Taking taylor expansion of PI in k 1.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.870 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.870 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.870 * [taylor]: Taking taylor expansion of 0.5 in k 1.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.870 * [taylor]: Taking taylor expansion of 1.0 in k 1.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.870 * [taylor]: Taking taylor expansion of k in k 1.870 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.870 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.870 * [taylor]: Taking taylor expansion of 2.0 in k 1.870 * [taylor]: Taking taylor expansion of PI in k 1.871 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.871 * [taylor]: Taking taylor expansion of 0.5 in k 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.871 * [taylor]: Taking taylor expansion of k in k 1.871 * [taylor]: Taking taylor expansion of 1.0 in k 1.871 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.871 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.871 * [taylor]: Taking taylor expansion of 2.0 in k 1.871 * [taylor]: Taking taylor expansion of PI in k 1.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.871 * [taylor]: Taking taylor expansion of 0.5 in k 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.871 * [taylor]: Taking taylor expansion of k in k 1.871 * [taylor]: Taking taylor expansion of 1.0 in k 1.871 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.871 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.871 * [taylor]: Taking taylor expansion of 2.0 in k 1.871 * [taylor]: Taking taylor expansion of PI in k 1.872 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.872 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 1.872 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.872 * [taylor]: Taking taylor expansion of 1.0 in k 1.872 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.873 * [taylor]: Taking taylor expansion of k in k 1.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.873 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.873 * [taylor]: Taking taylor expansion of 0.5 in k 1.873 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.873 * [taylor]: Taking taylor expansion of 1.0 in k 1.873 * [taylor]: Taking taylor expansion of k in k 1.873 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.873 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.873 * [taylor]: Taking taylor expansion of 2.0 in k 1.873 * [taylor]: Taking taylor expansion of PI in k 1.873 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.873 * [taylor]: Taking taylor expansion of 1.0 in k 1.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.873 * [taylor]: Taking taylor expansion of k in k 1.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.874 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.874 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.874 * [taylor]: Taking taylor expansion of 0.5 in k 1.874 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.874 * [taylor]: Taking taylor expansion of 1.0 in k 1.874 * [taylor]: Taking taylor expansion of k in k 1.874 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.874 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.874 * [taylor]: Taking taylor expansion of 2.0 in k 1.874 * [taylor]: Taking taylor expansion of PI in k 1.887 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.887 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.888 * [taylor]: Taking taylor expansion of 1.0 in k 1.888 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.888 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.888 * [taylor]: Taking taylor expansion of k in k 1.888 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.888 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.888 * [taylor]: Taking taylor expansion of 0.5 in k 1.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.888 * [taylor]: Taking taylor expansion of 1.0 in k 1.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.888 * [taylor]: Taking taylor expansion of k in k 1.888 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.888 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.888 * [taylor]: Taking taylor expansion of 2.0 in k 1.888 * [taylor]: Taking taylor expansion of PI in k 1.888 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.888 * [taylor]: Taking taylor expansion of 1.0 in k 1.888 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.888 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.888 * [taylor]: Taking taylor expansion of k in k 1.888 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.888 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.888 * [taylor]: Taking taylor expansion of 0.5 in k 1.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.889 * [taylor]: Taking taylor expansion of 1.0 in k 1.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.889 * [taylor]: Taking taylor expansion of k in k 1.889 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.889 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.889 * [taylor]: Taking taylor expansion of 2.0 in k 1.889 * [taylor]: Taking taylor expansion of PI in k 1.892 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 1.893 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.893 * [taylor]: Taking taylor expansion of 1.0 in k 1.893 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.893 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.893 * [taylor]: Taking taylor expansion of 0.5 in k 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.893 * [taylor]: Taking taylor expansion of k in k 1.893 * [taylor]: Taking taylor expansion of 1.0 in k 1.893 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.893 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.897 * [taylor]: Taking taylor expansion of 2.0 in k 1.897 * [taylor]: Taking taylor expansion of PI in k 1.897 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.897 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.897 * [taylor]: Taking taylor expansion of -1 in k 1.897 * [taylor]: Taking taylor expansion of k in k 1.897 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.897 * [taylor]: Taking taylor expansion of 1.0 in k 1.897 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.897 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.897 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.897 * [taylor]: Taking taylor expansion of 0.5 in k 1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.898 * [taylor]: Taking taylor expansion of k in k 1.898 * [taylor]: Taking taylor expansion of 1.0 in k 1.898 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.898 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.898 * [taylor]: Taking taylor expansion of 2.0 in k 1.898 * [taylor]: Taking taylor expansion of PI in k 1.898 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.898 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.898 * [taylor]: Taking taylor expansion of -1 in k 1.898 * [taylor]: Taking taylor expansion of k in k 1.908 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.909 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.909 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.909 * [taylor]: Taking taylor expansion of 1.0 in k 1.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.909 * [taylor]: Taking taylor expansion of k in k 1.909 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.909 * [taylor]: Taking taylor expansion of 1.0 in k 1.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.909 * [taylor]: Taking taylor expansion of k in k 1.910 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.910 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.910 * [taylor]: Taking taylor expansion of 1.0 in k 1.910 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.910 * [taylor]: Taking taylor expansion of k in k 1.911 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.911 * [taylor]: Taking taylor expansion of 1.0 in k 1.911 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.911 * [taylor]: Taking taylor expansion of k in k 1.912 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.912 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.912 * [taylor]: Taking taylor expansion of 1.0 in k 1.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.912 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.912 * [taylor]: Taking taylor expansion of -1 in k 1.912 * [taylor]: Taking taylor expansion of k in k 1.912 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.912 * [taylor]: Taking taylor expansion of 1.0 in k 1.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.912 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.912 * [taylor]: Taking taylor expansion of -1 in k 1.912 * [taylor]: Taking taylor expansion of k in k 1.918 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.919 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 1.919 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 1.919 * [taylor]: Taking taylor expansion of 1.0 in n 1.919 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 1.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.919 * [taylor]: Taking taylor expansion of k in n 1.919 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 1.919 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 1.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 1.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 1.919 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.919 * [taylor]: Taking taylor expansion of 0.5 in n 1.919 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.919 * [taylor]: Taking taylor expansion of 1.0 in n 1.919 * [taylor]: Taking taylor expansion of k in n 1.919 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.919 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.919 * [taylor]: Taking taylor expansion of 2.0 in n 1.919 * [taylor]: Taking taylor expansion of PI in n 1.919 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.919 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.919 * [taylor]: Taking taylor expansion of 0.5 in n 1.919 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.919 * [taylor]: Taking taylor expansion of 1.0 in n 1.919 * [taylor]: Taking taylor expansion of k in n 1.919 * [taylor]: Taking taylor expansion of (log n) in n 1.919 * [taylor]: Taking taylor expansion of n in n 1.920 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 1.920 * [taylor]: Taking taylor expansion of 1.0 in k 1.920 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 1.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.920 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.920 * [taylor]: Taking taylor expansion of k in k 1.920 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.920 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.920 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.920 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.920 * [taylor]: Taking taylor expansion of 0.5 in k 1.920 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.920 * [taylor]: Taking taylor expansion of 1.0 in k 1.920 * [taylor]: Taking taylor expansion of k in k 1.920 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.920 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.920 * [taylor]: Taking taylor expansion of 2.0 in k 1.920 * [taylor]: Taking taylor expansion of PI in k 1.920 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.920 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.920 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.920 * [taylor]: Taking taylor expansion of 0.5 in k 1.920 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.920 * [taylor]: Taking taylor expansion of 1.0 in k 1.920 * [taylor]: Taking taylor expansion of k in k 1.920 * [taylor]: Taking taylor expansion of (log n) in k 1.920 * [taylor]: Taking taylor expansion of n in k 1.921 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 1.921 * [taylor]: Taking taylor expansion of 1.0 in k 1.921 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 1.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.921 * [taylor]: Taking taylor expansion of k in k 1.921 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.921 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.921 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.921 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.921 * [taylor]: Taking taylor expansion of 0.5 in k 1.921 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.921 * [taylor]: Taking taylor expansion of 1.0 in k 1.921 * [taylor]: Taking taylor expansion of k in k 1.921 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.921 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.921 * [taylor]: Taking taylor expansion of 2.0 in k 1.921 * [taylor]: Taking taylor expansion of PI in k 1.921 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.921 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.921 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.921 * [taylor]: Taking taylor expansion of 0.5 in k 1.921 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.921 * [taylor]: Taking taylor expansion of 1.0 in k 1.921 * [taylor]: Taking taylor expansion of k in k 1.921 * [taylor]: Taking taylor expansion of (log n) in k 1.921 * [taylor]: Taking taylor expansion of n in k 1.922 * [taylor]: Taking taylor expansion of 0 in n 1.925 * [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 1.925 * [taylor]: Taking taylor expansion of 1.0 in n 1.925 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.925 * [taylor]: Taking taylor expansion of NAN in n 1.925 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.925 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.925 * [taylor]: Taking taylor expansion of 0.5 in n 1.925 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.925 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.925 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.925 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.925 * [taylor]: Taking taylor expansion of 1.0 in n 1.925 * [taylor]: Taking taylor expansion of (log PI) in n 1.925 * [taylor]: Taking taylor expansion of PI in n 1.925 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.925 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.925 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.925 * [taylor]: Taking taylor expansion of 1.0 in n 1.925 * [taylor]: Taking taylor expansion of (log n) in n 1.925 * [taylor]: Taking taylor expansion of n in n 1.925 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.925 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.925 * [taylor]: Taking taylor expansion of 1.0 in n 1.925 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.925 * [taylor]: Taking taylor expansion of 2.0 in n 1.935 * [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 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))))) in n 1.935 * [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 1.935 * [taylor]: Taking taylor expansion of 1.0 in n 1.935 * [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 1.935 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.935 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.936 * [taylor]: Taking taylor expansion of 0.5 in n 1.936 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.936 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.936 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.936 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.936 * [taylor]: Taking taylor expansion of 1.0 in n 1.936 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.936 * [taylor]: Taking taylor expansion of 2.0 in n 1.936 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.936 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.936 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.936 * [taylor]: Taking taylor expansion of 1.0 in n 1.936 * [taylor]: Taking taylor expansion of (log n) in n 1.936 * [taylor]: Taking taylor expansion of n in n 1.936 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.936 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.936 * [taylor]: Taking taylor expansion of 1.0 in n 1.936 * [taylor]: Taking taylor expansion of (log PI) in n 1.936 * [taylor]: Taking taylor expansion of PI in n 1.937 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.937 * [taylor]: Taking taylor expansion of NAN in n 1.937 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))))) in n 1.937 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.937 * [taylor]: Taking taylor expansion of 0.5 in n 1.937 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.937 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) NAN) in n 1.937 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.937 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.937 * [taylor]: Taking taylor expansion of 2.0 in n 1.937 * [taylor]: Taking taylor expansion of PI in n 1.937 * [taylor]: Taking taylor expansion of NAN in n 1.937 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.937 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.937 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.938 * [taylor]: Taking taylor expansion of 0.5 in n 1.938 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.938 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.938 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.938 * [taylor]: Taking taylor expansion of 1.0 in n 1.938 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.938 * [taylor]: Taking taylor expansion of 2.0 in n 1.938 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.938 * [taylor]: Taking taylor expansion of 1.0 in n 1.938 * [taylor]: Taking taylor expansion of (log n) in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.938 * [taylor]: Taking taylor expansion of 1.0 in n 1.938 * [taylor]: Taking taylor expansion of (log PI) in n 1.938 * [taylor]: Taking taylor expansion of PI in n 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))) in n 1.939 * [taylor]: Taking taylor expansion of 0.5 in n 1.939 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))) in n 1.939 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.939 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.939 * [taylor]: Taking taylor expansion of 0.5 in n 1.939 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.939 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.939 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.939 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.939 * [taylor]: Taking taylor expansion of 1.0 in n 1.939 * [taylor]: Taking taylor expansion of (log PI) in n 1.939 * [taylor]: Taking taylor expansion of PI in n 1.939 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.940 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.940 * [taylor]: Taking taylor expansion of 1.0 in n 1.940 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.940 * [taylor]: Taking taylor expansion of 2.0 in n 1.940 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.940 * [taylor]: Taking taylor expansion of 1.0 in n 1.940 * [taylor]: Taking taylor expansion of (log n) in n 1.940 * [taylor]: Taking taylor expansion of n in n 1.941 * [taylor]: Taking taylor expansion of (* NAN (log n)) in n 1.941 * [taylor]: Taking taylor expansion of NAN in n 1.941 * [taylor]: Taking taylor expansion of (log n) in n 1.941 * [taylor]: Taking taylor expansion of n in n 1.968 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) 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 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 1.968 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) 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 1.968 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) in n 1.968 * [taylor]: Taking taylor expansion of 0.125 in n 1.968 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN)) in n 1.968 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.969 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.969 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.969 * [taylor]: Taking taylor expansion of 0.5 in n 1.969 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.969 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.969 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.969 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.969 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.969 * [taylor]: Taking taylor expansion of 1.0 in n 1.969 * [taylor]: Taking taylor expansion of (log PI) in n 1.969 * [taylor]: Taking taylor expansion of PI in n 1.969 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.969 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.969 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.969 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.969 * [taylor]: Taking taylor expansion of 1.0 in n 1.969 * [taylor]: Taking taylor expansion of (log n) in n 1.969 * [taylor]: Taking taylor expansion of n in n 1.969 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.969 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.969 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.969 * [taylor]: Taking taylor expansion of 1.0 in n 1.969 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.969 * [taylor]: Taking taylor expansion of 2.0 in n 1.970 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) NAN) in n 1.970 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 1.970 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.970 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.970 * [taylor]: Taking taylor expansion of 2.0 in n 1.970 * [taylor]: Taking taylor expansion of PI in n 1.970 * [taylor]: Taking taylor expansion of NAN in n 1.970 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) 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 1.970 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.970 * [taylor]: Taking taylor expansion of 0.125 in n 1.970 * [taylor]: Taking taylor expansion of (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.970 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) NAN) in n 1.970 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 1.971 * [taylor]: Taking taylor expansion of (log n) in n 1.971 * [taylor]: Taking taylor expansion of n in n 1.971 * [taylor]: Taking taylor expansion of NAN in n 1.971 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.971 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.971 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.971 * [taylor]: Taking taylor expansion of 0.5 in n 1.971 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.971 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.971 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.971 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.971 * [taylor]: Taking taylor expansion of 1.0 in n 1.971 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.971 * [taylor]: Taking taylor expansion of 2.0 in n 1.971 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.971 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.971 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.971 * [taylor]: Taking taylor expansion of 1.0 in n 1.971 * [taylor]: Taking taylor expansion of (log n) in n 1.971 * [taylor]: Taking taylor expansion of n in n 1.971 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.971 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.971 * [taylor]: Taking taylor expansion of 1.0 in n 1.971 * [taylor]: Taking taylor expansion of (log PI) in n 1.971 * [taylor]: Taking taylor expansion of PI in n 1.972 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) 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 1.972 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.972 * [taylor]: Taking taylor expansion of 0.25 in n 1.972 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.972 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (* (log n) NAN)) in n 1.972 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.972 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.972 * [taylor]: Taking taylor expansion of 2.0 in n 1.972 * [taylor]: Taking taylor expansion of PI in n 1.973 * [taylor]: Taking taylor expansion of (* (log n) NAN) in n 1.973 * [taylor]: Taking taylor expansion of (log n) in n 1.973 * [taylor]: Taking taylor expansion of n in n 1.973 * [taylor]: Taking taylor expansion of NAN in n 1.973 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.973 * [taylor]: Taking taylor expansion of 0.5 in n 1.973 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.973 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.973 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.973 * [taylor]: Taking taylor expansion of 1.0 in n 1.973 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.973 * [taylor]: Taking taylor expansion of 2.0 in n 1.973 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.973 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.973 * [taylor]: Taking taylor expansion of 1.0 in n 1.973 * [taylor]: Taking taylor expansion of (log n) in n 1.973 * [taylor]: Taking taylor expansion of n in n 1.973 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.973 * [taylor]: Taking taylor expansion of 1.0 in n 1.973 * [taylor]: Taking taylor expansion of (log PI) in n 1.973 * [taylor]: Taking taylor expansion of PI in n 1.974 * [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 1.974 * [taylor]: Taking taylor expansion of 1.0 in n 1.974 * [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 1.974 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.974 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.974 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.974 * [taylor]: Taking taylor expansion of 0.5 in n 1.974 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.974 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.974 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.975 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.975 * [taylor]: Taking taylor expansion of 1.0 in n 1.975 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.976 * [taylor]: Taking taylor expansion of 2.0 in n 1.977 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.977 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.977 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.977 * [taylor]: Taking taylor expansion of 1.0 in n 1.977 * [taylor]: Taking taylor expansion of (log n) in n 1.977 * [taylor]: Taking taylor expansion of n in n 1.977 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.977 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.977 * [taylor]: Taking taylor expansion of 1.0 in n 1.977 * [taylor]: Taking taylor expansion of (log PI) in n 1.977 * [taylor]: Taking taylor expansion of PI in n 1.978 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.978 * [taylor]: Taking taylor expansion of NAN in n 1.978 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.978 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) in n 1.978 * [taylor]: Taking taylor expansion of 0.5 in n 1.978 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n))) in n 1.978 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.978 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.978 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.978 * [taylor]: Taking taylor expansion of 0.5 in n 1.978 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.978 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.978 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.978 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.978 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.978 * [taylor]: Taking taylor expansion of 1.0 in n 1.978 * [taylor]: Taking taylor expansion of (log PI) in n 1.978 * [taylor]: Taking taylor expansion of PI in n 1.979 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.979 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.979 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.979 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.979 * [taylor]: Taking taylor expansion of 1.0 in n 1.979 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.979 * [taylor]: Taking taylor expansion of 2.0 in n 1.979 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.979 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.979 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.979 * [taylor]: Taking taylor expansion of 1.0 in n 1.979 * [taylor]: Taking taylor expansion of (log n) in n 1.979 * [taylor]: Taking taylor expansion of n in n 1.980 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log n)) in n 1.980 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.980 * [taylor]: Taking taylor expansion of NAN in n 1.980 * [taylor]: Taking taylor expansion of (log n) in n 1.980 * [taylor]: Taking taylor expansion of n in n 1.980 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.980 * [taylor]: Taking taylor expansion of 0.5 in n 1.980 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.980 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow NAN 3)) in n 1.980 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.980 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.980 * [taylor]: Taking taylor expansion of 2.0 in n 1.980 * [taylor]: Taking taylor expansion of PI in n 1.980 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.980 * [taylor]: Taking taylor expansion of NAN in n 1.980 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.980 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.980 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.980 * [taylor]: Taking taylor expansion of 0.5 in n 1.980 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.980 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.980 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.980 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.980 * [taylor]: Taking taylor expansion of 1.0 in n 1.980 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.980 * [taylor]: Taking taylor expansion of 2.0 in n 1.981 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.981 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.981 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.981 * [taylor]: Taking taylor expansion of 1.0 in n 1.981 * [taylor]: Taking taylor expansion of (log n) in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.981 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.981 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.981 * [taylor]: Taking taylor expansion of 1.0 in n 1.981 * [taylor]: Taking taylor expansion of (log PI) in n 1.981 * [taylor]: Taking taylor expansion of PI in n 2.011 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 2.011 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 2.011 * [taylor]: Taking taylor expansion of 1.0 in n 2.011 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.011 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.011 * [taylor]: Taking taylor expansion of k in n 2.011 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.011 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.011 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.011 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.011 * [taylor]: Taking taylor expansion of 0.5 in n 2.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.011 * [taylor]: Taking taylor expansion of 1.0 in n 2.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.011 * [taylor]: Taking taylor expansion of k in n 2.011 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.011 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.011 * [taylor]: Taking taylor expansion of n in n 2.011 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 2.011 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 2.012 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.012 * [taylor]: Taking taylor expansion of 0.5 in n 2.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.012 * [taylor]: Taking taylor expansion of 1.0 in n 2.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.012 * [taylor]: Taking taylor expansion of k in n 2.012 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.012 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.012 * [taylor]: Taking taylor expansion of 2.0 in n 2.012 * [taylor]: Taking taylor expansion of PI in n 2.012 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.012 * [taylor]: Taking taylor expansion of 1.0 in k 2.012 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.012 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.012 * [taylor]: Taking taylor expansion of k in k 2.012 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.012 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.012 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.012 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.012 * [taylor]: Taking taylor expansion of 0.5 in k 2.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.012 * [taylor]: Taking taylor expansion of 1.0 in k 2.013 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.013 * [taylor]: Taking taylor expansion of k in k 2.013 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.013 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.013 * [taylor]: Taking taylor expansion of n in k 2.013 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.013 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.013 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.013 * [taylor]: Taking taylor expansion of 0.5 in k 2.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.013 * [taylor]: Taking taylor expansion of 1.0 in k 2.013 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.013 * [taylor]: Taking taylor expansion of k in k 2.013 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.013 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.013 * [taylor]: Taking taylor expansion of 2.0 in k 2.013 * [taylor]: Taking taylor expansion of PI in k 2.013 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.013 * [taylor]: Taking taylor expansion of 1.0 in k 2.013 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.013 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.013 * [taylor]: Taking taylor expansion of k in k 2.013 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.013 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.013 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.013 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.014 * [taylor]: Taking taylor expansion of 0.5 in k 2.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.014 * [taylor]: Taking taylor expansion of 1.0 in k 2.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.014 * [taylor]: Taking taylor expansion of k in k 2.014 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.014 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.014 * [taylor]: Taking taylor expansion of n in k 2.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.014 * [taylor]: Taking taylor expansion of 0.5 in k 2.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.014 * [taylor]: Taking taylor expansion of 1.0 in k 2.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.014 * [taylor]: Taking taylor expansion of k in k 2.014 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.014 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.014 * [taylor]: Taking taylor expansion of 2.0 in k 2.014 * [taylor]: Taking taylor expansion of PI in k 2.015 * [taylor]: Taking taylor expansion of 0 in n 2.016 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN))) in n 2.016 * [taylor]: Taking taylor expansion of 1.0 in n 2.016 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN)) in n 2.016 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.016 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.016 * [taylor]: Taking taylor expansion of 0.5 in n 2.016 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.016 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.016 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.016 * [taylor]: Taking taylor expansion of n in n 2.016 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.016 * [taylor]: Taking taylor expansion of 1.0 in n 2.016 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.016 * [taylor]: Taking taylor expansion of k in n 2.016 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN) in n 2.016 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.016 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.016 * [taylor]: Taking taylor expansion of 0.5 in n 2.016 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.016 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.016 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.016 * [taylor]: Taking taylor expansion of 2.0 in n 2.016 * [taylor]: Taking taylor expansion of PI in n 2.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.017 * [taylor]: Taking taylor expansion of 1.0 in n 2.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.017 * [taylor]: Taking taylor expansion of k in n 2.017 * [taylor]: Taking taylor expansion of NAN in n 2.019 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)))) in n 2.019 * [taylor]: Taking taylor expansion of 1.0 in n 2.019 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3))) in n 2.019 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.019 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.019 * [taylor]: Taking taylor expansion of 0.5 in n 2.019 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.019 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.019 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.019 * [taylor]: Taking taylor expansion of n in n 2.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.019 * [taylor]: Taking taylor expansion of 1.0 in n 2.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.019 * [taylor]: Taking taylor expansion of k in n 2.019 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)) in n 2.019 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.019 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.019 * [taylor]: Taking taylor expansion of 0.5 in n 2.019 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.019 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.019 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.019 * [taylor]: Taking taylor expansion of 2.0 in n 2.019 * [taylor]: Taking taylor expansion of PI in n 2.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.020 * [taylor]: Taking taylor expansion of 1.0 in n 2.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.020 * [taylor]: Taking taylor expansion of k in n 2.020 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.020 * [taylor]: Taking taylor expansion of NAN in n 2.024 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)))) in n 2.024 * [taylor]: Taking taylor expansion of 1.0 in n 2.024 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5))) in n 2.024 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.024 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.024 * [taylor]: Taking taylor expansion of 0.5 in n 2.024 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.024 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.024 * [taylor]: Taking taylor expansion of n in n 2.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.024 * [taylor]: Taking taylor expansion of 1.0 in n 2.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.024 * [taylor]: Taking taylor expansion of k in n 2.025 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)) in n 2.025 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.025 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.025 * [taylor]: Taking taylor expansion of 0.5 in n 2.025 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.025 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.025 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.025 * [taylor]: Taking taylor expansion of 2.0 in n 2.025 * [taylor]: Taking taylor expansion of PI in n 2.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.025 * [taylor]: Taking taylor expansion of 1.0 in n 2.025 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.025 * [taylor]: Taking taylor expansion of k in n 2.025 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.025 * [taylor]: Taking taylor expansion of NAN in n 2.028 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 2.028 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 2.028 * [taylor]: Taking taylor expansion of 1.0 in n 2.028 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 2.028 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.028 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.028 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.028 * [taylor]: Taking taylor expansion of 0.5 in n 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.028 * [taylor]: Taking taylor expansion of k in n 2.028 * [taylor]: Taking taylor expansion of 1.0 in n 2.028 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.028 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.028 * [taylor]: Taking taylor expansion of -1 in n 2.028 * [taylor]: Taking taylor expansion of n in n 2.029 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 2.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.029 * [taylor]: Taking taylor expansion of 0.5 in n 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.029 * [taylor]: Taking taylor expansion of k in n 2.029 * [taylor]: Taking taylor expansion of 1.0 in n 2.029 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.029 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.029 * [taylor]: Taking taylor expansion of 2.0 in n 2.029 * [taylor]: Taking taylor expansion of PI in n 2.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.029 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.029 * [taylor]: Taking taylor expansion of -1 in n 2.029 * [taylor]: Taking taylor expansion of k in n 2.030 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.030 * [taylor]: Taking taylor expansion of 1.0 in k 2.030 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.030 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.030 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.030 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.030 * [taylor]: Taking taylor expansion of 0.5 in k 2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.030 * [taylor]: Taking taylor expansion of k in k 2.030 * [taylor]: Taking taylor expansion of 1.0 in k 2.030 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.030 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.030 * [taylor]: Taking taylor expansion of -1 in k 2.030 * [taylor]: Taking taylor expansion of n in k 2.030 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.030 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.030 * [taylor]: Taking taylor expansion of 0.5 in k 2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.030 * [taylor]: Taking taylor expansion of k in k 2.031 * [taylor]: Taking taylor expansion of 1.0 in k 2.031 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.031 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.031 * [taylor]: Taking taylor expansion of 2.0 in k 2.031 * [taylor]: Taking taylor expansion of PI in k 2.031 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.031 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.031 * [taylor]: Taking taylor expansion of -1 in k 2.031 * [taylor]: Taking taylor expansion of k in k 2.031 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.031 * [taylor]: Taking taylor expansion of 1.0 in k 2.031 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.031 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.031 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.031 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.031 * [taylor]: Taking taylor expansion of 0.5 in k 2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.032 * [taylor]: Taking taylor expansion of k in k 2.032 * [taylor]: Taking taylor expansion of 1.0 in k 2.032 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.032 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.032 * [taylor]: Taking taylor expansion of -1 in k 2.032 * [taylor]: Taking taylor expansion of n in k 2.032 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.032 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.032 * [taylor]: Taking taylor expansion of 0.5 in k 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.032 * [taylor]: Taking taylor expansion of k in k 2.032 * [taylor]: Taking taylor expansion of 1.0 in k 2.032 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.032 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.032 * [taylor]: Taking taylor expansion of 2.0 in k 2.032 * [taylor]: Taking taylor expansion of PI in k 2.032 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.032 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.032 * [taylor]: Taking taylor expansion of -1 in k 2.032 * [taylor]: Taking taylor expansion of k in k 2.033 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN)) in n 2.033 * [taylor]: Taking taylor expansion of 1.0 in n 2.033 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN) in n 2.033 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 2.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.033 * [taylor]: Taking taylor expansion of 0.5 in n 2.033 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.033 * [taylor]: Taking taylor expansion of k in n 2.033 * [taylor]: Taking taylor expansion of 1.0 in n 2.033 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.033 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.033 * [taylor]: Taking taylor expansion of -1 in n 2.033 * [taylor]: Taking taylor expansion of n in n 2.034 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.034 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.034 * [taylor]: Taking taylor expansion of 0.5 in n 2.034 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.034 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.034 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.034 * [taylor]: Taking taylor expansion of 2.0 in n 2.034 * [taylor]: Taking taylor expansion of PI in n 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.034 * [taylor]: Taking taylor expansion of k in n 2.034 * [taylor]: Taking taylor expansion of 1.0 in n 2.034 * [taylor]: Taking taylor expansion of NAN in n 2.036 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) in n 2.036 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 2.036 * [taylor]: Taking taylor expansion of 1.0 in n 2.036 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 2.036 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.037 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.037 * [taylor]: Taking taylor expansion of 0.5 in n 2.037 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.037 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.037 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.037 * [taylor]: Taking taylor expansion of 2.0 in n 2.037 * [taylor]: Taking taylor expansion of PI in n 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.037 * [taylor]: Taking taylor expansion of k in n 2.037 * [taylor]: Taking taylor expansion of 1.0 in n 2.037 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 2.037 * [taylor]: Taking taylor expansion of NAN in n 2.037 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.037 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.037 * [taylor]: Taking taylor expansion of 0.5 in n 2.037 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.037 * [taylor]: Taking taylor expansion of k in n 2.037 * [taylor]: Taking taylor expansion of 1.0 in n 2.037 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.037 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.037 * [taylor]: Taking taylor expansion of -1 in n 2.037 * [taylor]: Taking taylor expansion of n in n 2.042 * [taylor]: Taking taylor expansion of 0 in n 2.048 * [taylor]: Taking taylor expansion of 0 in n 2.049 * * * [progress]: simplifying candidates 2.052 * [simplify]: Simplifying using # : (*.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 1 (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 1 (/.f64 (-.f64 1.0 k) 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1.0 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 k 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 (/.f64 (-.f64 1.0 k) 2.0)) (cbrt.f64 (/.f64 (-.f64 1.0 k) 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (sqrt.f64 (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k))) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k))) (sqrt.f64 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k))) 1)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (sqrt.f64 (-.f64 1.0 k)) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (sqrt.f64 (-.f64 1.0 k)) (sqrt.f64 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (sqrt.f64 (-.f64 1.0 k)) 1)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 (sqrt.f64 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 1)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (+.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (+.f64 (sqrt.f64 1.0) (sqrt.f64 k)) (sqrt.f64 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (+.f64 (sqrt.f64 1.0) (sqrt.f64 k)) 1)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 (sqrt.f64 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 1)) (pow.f64 (*.f64 2.0 PI.f64) 1) (pow.f64 (*.f64 2.0 PI.f64) (-.f64 1.0 k)) (pow.f64 2.0 (/.f64 (-.f64 1.0 k) 2.0)) (pow.f64 PI.f64 (/.f64 (-.f64 1.0 k) 2.0)) (log.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (exp.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (cbrt.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (cbrt.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (*.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (sqrt.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (sqrt.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2)) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (*.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0))) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0))) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0))) (+.f64 (-.f64 (log.f64 1.0) (log.f64 (sqrt.f64 k))) (log.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (+.f64 (log.f64 2.0) (log.f64 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0))) (+.f64 (log.f64 (/.f64 1.0 (sqrt.f64 k))) (log.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (log.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (exp.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (*.f64 (/.f64 (*.f64 (*.f64 1.0 1.0) 1.0) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (*.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (*.f64 (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (/.f64 1.0 (sqrt.f64 k))) (/.f64 1.0 (sqrt.f64 k))) (*.f64 (*.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (cbrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))))) (cbrt.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)))) (*.f64 (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (/.f64 1.0 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(sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0)))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0)))) (sqrt.f64 (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0)))) (sqrt.f64 (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0)))) (*.f64 (*.f64 1.0 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1.0 2.0))) (pow.f64 n (/.f64 1.0 2.0))) (*.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 k 2.0))) (pow.f64 n (/.f64 k 2.0))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1.0 2.0))) (pow.f64 n (/.f64 1.0 2.0))) (*.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 k 2.0)) (pow.f64 n (/.f64 k 2.0))) (*.f64 (*.f64 1.0 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 1.0 2.0))) (*.f64 (sqrt.f64 k) (pow.f64 n (/.f64 k 2.0))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 (cbrt.f64 n) (cbrt.f64 n)) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (sqrt.f64 n) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 1 (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (cbrt.f64 (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0))) (cbrt.f64 (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0))))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (sqrt.f64 (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0)))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) 1) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 (/.f64 (-.f64 1.0 k) 2.0) 2))) (*.f64 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0)) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 1.0 2.0))) (*.f64 (*.f64 1.0 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1.0 2.0))) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (*.f64 (/.f64 1.0 (sqrt.f64 k)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1.0 2.0))) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0))) (*.f64 (*.f64 1.0 (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 n (/.f64 (-.f64 1.0 k) 2.0))) (-.f64 (+.f64 (*.f64 0.125 (*.f64 (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2.0 PI.f64)) 2)) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (pow.f64 PI.f64 1.0)) 0.5))) (pow.f64 (*.f64 2.0 PI.f64) 0.5)) (*.f64 0.5 (*.f64 (*.f64 k (log.f64 (*.f64 2.0 PI.f64))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (pow.f64 PI.f64 1.0)) 0.5)))) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64))))) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64))))) (-.f64 (+.f64 (*.f64 0.125 (*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 2.0 PI.f64)) 2) (*.f64 NAN.f64 (pow.f64 k 2))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (pow.f64 PI.f64 1.0)) 0.5))) (+.f64 (*.f64 1.0 (*.f64 (*.f64 k (pow.f64 NAN.f64 3)) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 2.0 1.0)) 0.5))) (+.f64 (*.f64 1.0 (*.f64 NAN.f64 (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 2.0 1.0)) 0.5))) (*.f64 1.0 (*.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 k 2)) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 2.0 1.0)) 0.5)))))) (+.f64 (*.f64 0.5 (*.f64 (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (pow.f64 k 2))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (pow.f64 PI.f64 1.0)) 0.5))) (*.f64 0.5 (*.f64 (*.f64 k (*.f64 (log.f64 (*.f64 2.0 PI.f64)) NAN.f64)) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (pow.f64 PI.f64 1.0)) 0.5))))) (+.f64 (*.f64 1.0 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64)))))) (pow.f64 k 2))) (+.f64 (*.f64 1.0 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64)))))) (pow.f64 k 3))) (*.f64 1.0 (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64)))))) k)))) (+.f64 (*.f64 1.0 (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64)))))) k)) (*.f64 1.0 (/.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64))))) NAN.f64))) (+.f64 (*.f64 1.0 (*.f64 (pow.f64 k 2) (pow.f64 NAN.f64 5))) (+.f64 (*.f64 1.0 NAN.f64) (*.f64 1.0 (*.f64 k (pow.f64 NAN.f64 3))))) (+.f64 (*.f64 1.0 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 k 3))) (+.f64 (*.f64 1.0 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 k 2))) (*.f64 1.0 (/.f64 NAN.f64 k)))) (+.f64 (*.f64 1.0 (/.f64 NAN.f64 k)) (*.f64 1.0 (/.f64 1 NAN.f64))) (-.f64 (+.f64 (*.f64 0.125 (*.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 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(pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (+.f64 (*.f64 0.5 (*.f64 (*.f64 k (*.f64 NAN.f64 (log.f64 n))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 n 1.0))) 0.5))) (+.f64 (*.f64 0.5 (*.f64 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (pow.f64 NAN.f64 3))) (pow.f64 (*.f64 (pow.f64 PI.f64 1.0) (*.f64 (pow.f64 n 1.0) (pow.f64 2.0 1.0))) 0.5))) (*.f64 0.5 (*.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 NAN.f64 3) (log.f64 n))) (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 n 1.0))) 0.5))))))) (+.f64 (*.f64 1.0 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (*.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64))))) (exp.f64 (*.f64 -0.5 (*.f64 (-.f64 1.0 k) (log.f64 (/.f64 1 n))))))) (pow.f64 k 3))) (+.f64 (*.f64 1.0 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64))))) (exp.f64 (*.f64 -0.5 (*.f64 (-.f64 1.0 k) (log.f64 (/.f64 1 n))))))) (pow.f64 k 2))) (*.f64 1.0 (/.f64 (*.f64 NAN.f64 (*.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64))))) (exp.f64 (*.f64 -0.5 (*.f64 (-.f64 1.0 k) (log.f64 (/.f64 1 n))))))) k)))) (+.f64 (*.f64 1.0 (/.f64 (*.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))))) (*.f64 NAN.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64))))))) k)) (*.f64 1.0 (/.f64 (*.f64 (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))))) (exp.f64 (*.f64 0.5 (*.f64 (-.f64 1.0 k) (log.f64 (*.f64 2.0 PI.f64)))))) NAN.f64))) 2.092 * * [simplify]: iteration 0 : 5001 enodes (cost 3305 ) 2.104 * [simplify]: Simplified to: (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0)) (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (/.f64 (-.f64 1.0 k) 2.0)) (/.f64 (-.f64 1.0 k) 2.0) (/.f64 (-.f64 1.0 k) 2.0) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1.0 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 k 2.0)) (pow.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 (/.f64 (-.f64 1.0 k) 2.0)) (cbrt.f64 (/.f64 (-.f64 1.0 k) 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (sqrt.f64 (/.f64 (-.f64 1.0 k) 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k))) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k))) (sqrt.f64 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (*.f64 (cbrt.f64 (-.f64 1.0 k)) (cbrt.f64 (-.f64 1.0 k)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (sqrt.f64 (-.f64 1.0 k)) (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (sqrt.f64 (-.f64 1.0 k)) (sqrt.f64 2.0))) (pow.f64 (*.f64 2.0 PI.f64) (sqrt.f64 (-.f64 1.0 k))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)))) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 1 (sqrt.f64 2.0))) (*.f64 2.0 PI.f64) (pow.f64 (*.f64 2.0 PI.f64) (/.f64 (+.f64 (sqrt.f64 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1.0 (*.f64 (*.f64 k k) (pow.f64 NAN.f64 5)))))) (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 n 1.0))) 0.5) (+.f64 (*.f64 0.125 (*.f64 (*.f64 k k) (*.f64 NAN.f64 (pow.f64 (log.f64 n) 2)))) (*.f64 1.0 (*.f64 k (pow.f64 NAN.f64 3)))))) (+.f64 (*.f64 0.5 (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 n 1.0))) 0.5) (+.f64 (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (*.f64 k (*.f64 k (pow.f64 NAN.f64 3)))) (*.f64 (log.f64 n) (*.f64 k (*.f64 k (pow.f64 NAN.f64 3))))))) (*.f64 (pow.f64 (*.f64 (pow.f64 2.0 1.0) (*.f64 (pow.f64 PI.f64 1.0) (pow.f64 n 1.0))) 0.5) (+.f64 (*.f64 0.5 (*.f64 (log.f64 (*.f64 2.0 PI.f64)) (*.f64 k NAN.f64))) (*.f64 0.5 (*.f64 k (*.f64 (log.f64 n) NAN.f64))))))) (*.f64 1.0 (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 k 3)) (*.f64 (pow.f64 (pow.f64 (*.f64 2.0 PI.f64) (-.f64 1.0 k)) 0.5) (pow.f64 (/.f64 1 n) (*.f64 (-.f64 1.0 k) -0.5)))) (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 k k)) (*.f64 (pow.f64 (pow.f64 (*.f64 2.0 PI.f64) (-.f64 1.0 k)) 0.5) (pow.f64 (/.f64 1 n) (*.f64 (-.f64 1.0 k) -0.5)))) (*.f64 (/.f64 NAN.f64 k) (*.f64 (pow.f64 (pow.f64 (*.f64 2.0 PI.f64) (-.f64 1.0 k)) 0.5) (pow.f64 (/.f64 1 n) (*.f64 (-.f64 1.0 k) -0.5))))))) (*.f64 1.0 (+.f64 (/.f64 (*.f64 NAN.f64 (pow.f64 (pow.f64 (exp.f64 0.5) (-.f64 1.0 k)) (+.f64 (+.f64 0 (log.f64 n)) (log.f64 (*.f64 2.0 PI.f64))))) k) (/.f64 (pow.f64 (pow.f64 (exp.f64 0.5) (-.f64 1.0 k)) (+.f64 (+.f64 0 (log.f64 n)) (log.f64 (*.f64 2.0 PI.f64)))) NAN.f64))) 2.105 * * * [progress]: adding candidates to table 2.323 * [progress]: [Phase 3 of 3] Extracting. 2.323 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.326 * * * [regime-changes]: Trying 3 branch expressions: ((*.f64 (*.f64 2.0 PI.f64) n) n k) 2.326 * * * * [regimes]: Trying to branch on (*.f64 (*.f64 2.0 PI.f64) n) from (# # # # # # # #) 2.377 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 2.426 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 2.475 * * * [regime]: Found split indices: #