27.114 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.482 * * * [progress]: [2/2] Setting up program. 0.484 * [progress]: [Phase 2 of 3] Improving. 0.485 * [simplify]: Simplifying using # : (*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 0.526 * * [simplify]: iteration 0 : 5065 enodes (cost 14 ) 0.527 * [simplify]: Simplified to: (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 0.530 * * [progress]: iteration 1 / 4 0.530 * * * [progress]: picking best candidate 0.534 * * * * [pick]: Picked # 0.534 * * * [progress]: localizing error 0.546 * * * [progress]: generating rewritten candidates 0.546 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.556 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.564 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.574 * * * [progress]: generating series expansions 0.574 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.574 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.574 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.574 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.574 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.574 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.574 * [taylor]: Taking taylor expansion of 1/2 in k 0.574 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.574 * [taylor]: Taking taylor expansion of 1 in k 0.574 * [taylor]: Taking taylor expansion of k in k 0.574 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.574 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.574 * [taylor]: Taking taylor expansion of 2 in k 0.574 * [taylor]: Taking taylor expansion of (* n PI) in k 0.574 * [taylor]: Taking taylor expansion of n in k 0.574 * [taylor]: Taking taylor expansion of PI in k 0.574 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.574 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.574 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.574 * [taylor]: Taking taylor expansion of 1/2 in n 0.574 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.574 * [taylor]: Taking taylor expansion of 1 in n 0.575 * [taylor]: Taking taylor expansion of k in n 0.575 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.575 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.575 * [taylor]: Taking taylor expansion of 2 in n 0.575 * [taylor]: Taking taylor expansion of (* n PI) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of PI in n 0.575 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.575 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.575 * [taylor]: Taking taylor expansion of 1/2 in n 0.575 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.575 * [taylor]: Taking taylor expansion of 1 in n 0.575 * [taylor]: Taking taylor expansion of k in n 0.575 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.575 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.575 * [taylor]: Taking taylor expansion of 2 in n 0.575 * [taylor]: Taking taylor expansion of (* n PI) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of PI in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.576 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.576 * [taylor]: Taking taylor expansion of 1/2 in k 0.576 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.576 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.576 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.576 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.576 * [taylor]: Taking taylor expansion of 2 in k 0.576 * [taylor]: Taking taylor expansion of PI in k 0.576 * [taylor]: Taking taylor expansion of (log n) in k 0.576 * [taylor]: Taking taylor expansion of n in k 0.576 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.576 * [taylor]: Taking taylor expansion of 1 in k 0.576 * [taylor]: Taking taylor expansion of k in k 0.577 * [taylor]: Taking taylor expansion of 0 in k 0.578 * [taylor]: Taking taylor expansion of 0 in k 0.581 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.581 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.581 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.581 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.581 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.581 * [taylor]: Taking taylor expansion of 1/2 in k 0.581 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.581 * [taylor]: Taking taylor expansion of 1 in k 0.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.581 * [taylor]: Taking taylor expansion of k in k 0.581 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.581 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.581 * [taylor]: Taking taylor expansion of 2 in k 0.581 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.581 * [taylor]: Taking taylor expansion of PI in k 0.581 * [taylor]: Taking taylor expansion of n in k 0.582 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.582 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.582 * [taylor]: Taking taylor expansion of 1/2 in n 0.582 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.582 * [taylor]: Taking taylor expansion of 1 in n 0.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.582 * [taylor]: Taking taylor expansion of k in n 0.582 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.582 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.582 * [taylor]: Taking taylor expansion of 2 in n 0.582 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.582 * [taylor]: Taking taylor expansion of PI in n 0.582 * [taylor]: Taking taylor expansion of n in n 0.582 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.582 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.582 * [taylor]: Taking taylor expansion of 1/2 in n 0.582 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.582 * [taylor]: Taking taylor expansion of 1 in n 0.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.582 * [taylor]: Taking taylor expansion of k in n 0.582 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.583 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.583 * [taylor]: Taking taylor expansion of 2 in n 0.583 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.583 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.583 * [taylor]: Taking taylor expansion of 1/2 in k 0.583 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.583 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.583 * [taylor]: Taking taylor expansion of 1 in k 0.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.583 * [taylor]: Taking taylor expansion of k in k 0.583 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.583 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.583 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.583 * [taylor]: Taking taylor expansion of 2 in k 0.583 * [taylor]: Taking taylor expansion of PI in k 0.583 * [taylor]: Taking taylor expansion of (log n) in k 0.583 * [taylor]: Taking taylor expansion of n in k 0.584 * [taylor]: Taking taylor expansion of 0 in k 0.585 * [taylor]: Taking taylor expansion of 0 in k 0.586 * [taylor]: Taking taylor expansion of 0 in k 0.586 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.586 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.586 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.586 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.586 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.587 * [taylor]: Taking taylor expansion of 1/2 in k 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.587 * [taylor]: Taking taylor expansion of k in k 0.587 * [taylor]: Taking taylor expansion of 1 in k 0.587 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.587 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.587 * [taylor]: Taking taylor expansion of -2 in k 0.587 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.587 * [taylor]: Taking taylor expansion of PI in k 0.587 * [taylor]: Taking taylor expansion of n in k 0.587 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.587 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.587 * [taylor]: Taking taylor expansion of 1/2 in n 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.587 * [taylor]: Taking taylor expansion of k in n 0.587 * [taylor]: Taking taylor expansion of 1 in n 0.587 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.587 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.587 * [taylor]: Taking taylor expansion of -2 in n 0.587 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.587 * [taylor]: Taking taylor expansion of PI in n 0.587 * [taylor]: Taking taylor expansion of n in n 0.588 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.588 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.588 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.588 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.588 * [taylor]: Taking taylor expansion of 1/2 in n 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.588 * [taylor]: Taking taylor expansion of k in n 0.588 * [taylor]: Taking taylor expansion of 1 in n 0.588 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.588 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.588 * [taylor]: Taking taylor expansion of -2 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 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.588 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.588 * [taylor]: Taking taylor expansion of 1/2 in k 0.588 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.588 * [taylor]: Taking taylor expansion of k in k 0.588 * [taylor]: Taking taylor expansion of 1 in k 0.588 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.588 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.588 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.588 * [taylor]: Taking taylor expansion of -2 in k 0.588 * [taylor]: Taking taylor expansion of PI in k 0.588 * [taylor]: Taking taylor expansion of (log n) in k 0.589 * [taylor]: Taking taylor expansion of n in k 0.589 * [taylor]: Taking taylor expansion of 0 in k 0.590 * [taylor]: Taking taylor expansion of 0 in k 0.591 * [taylor]: Taking taylor expansion of 0 in k 0.591 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.592 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (n k) around 0 0.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 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 (* n PI)) (* 1/2 (- 1 k))) in k 0.592 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.592 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.592 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.592 * [taylor]: Taking taylor expansion of 1/2 in k 0.592 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.592 * [taylor]: Taking taylor expansion of 1 in k 0.592 * [taylor]: Taking taylor expansion of k in k 0.592 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.592 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.592 * [taylor]: Taking taylor expansion of 2 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 (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.592 * [taylor]: Taking taylor expansion of k in n 0.592 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.593 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.593 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.593 * [taylor]: Taking taylor expansion of 1/2 in n 0.593 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.593 * [taylor]: Taking taylor expansion of 1 in n 0.593 * [taylor]: Taking taylor expansion of k in n 0.593 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.593 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.593 * [taylor]: Taking taylor expansion of 2 in n 0.593 * [taylor]: Taking taylor expansion of (* n PI) in n 0.593 * [taylor]: Taking taylor expansion of n in n 0.593 * [taylor]: Taking taylor expansion of PI in n 0.593 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.593 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.593 * [taylor]: Taking taylor expansion of k in n 0.593 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.593 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.593 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.593 * [taylor]: Taking taylor expansion of 1/2 in n 0.593 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.593 * [taylor]: Taking taylor expansion of 1 in n 0.593 * [taylor]: Taking taylor expansion of k in n 0.593 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.593 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.593 * [taylor]: Taking taylor expansion of 2 in n 0.593 * [taylor]: Taking taylor expansion of (* n PI) in n 0.593 * [taylor]: Taking taylor expansion of n in n 0.593 * [taylor]: Taking taylor expansion of PI in n 0.594 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))))) in k 0.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.594 * [taylor]: Taking taylor expansion of k in k 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.594 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.594 * [taylor]: Taking taylor expansion of 1/2 in k 0.594 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.594 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.594 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.594 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.594 * [taylor]: Taking taylor expansion of 2 in k 0.594 * [taylor]: Taking taylor expansion of PI in k 0.594 * [taylor]: Taking taylor expansion of (log n) in k 0.594 * [taylor]: Taking taylor expansion of n in k 0.594 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.594 * [taylor]: Taking taylor expansion of 1 in k 0.594 * [taylor]: Taking taylor expansion of k in k 0.595 * [taylor]: Taking taylor expansion of 0 in k 0.597 * [taylor]: Taking taylor expansion of 0 in k 0.601 * [taylor]: Taking taylor expansion of 0 in k 0.612 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in (n k) around 0 0.613 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 0.613 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.613 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.613 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.613 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.613 * [taylor]: Taking taylor expansion of 1/2 in k 0.613 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.613 * [taylor]: Taking taylor expansion of 1 in k 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.613 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.613 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.613 * [taylor]: Taking taylor expansion of 2 in k 0.613 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.613 * [taylor]: Taking taylor expansion of PI in k 0.613 * [taylor]: Taking taylor expansion of n in k 0.613 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.613 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.613 * [taylor]: Taking taylor expansion of k in n 0.613 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.614 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.614 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.614 * [taylor]: Taking taylor expansion of 1/2 in n 0.614 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.614 * [taylor]: Taking taylor expansion of 1 in n 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.614 * [taylor]: Taking taylor expansion of k in n 0.614 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.614 * [taylor]: Taking taylor expansion of 2 in n 0.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.614 * [taylor]: Taking taylor expansion of PI in n 0.614 * [taylor]: Taking taylor expansion of n in n 0.614 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.614 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.614 * [taylor]: Taking taylor expansion of k in n 0.614 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.614 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.614 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.614 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.614 * [taylor]: Taking taylor expansion of 1/2 in n 0.614 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.614 * [taylor]: Taking taylor expansion of 1 in n 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.614 * [taylor]: Taking taylor expansion of k in n 0.614 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.614 * [taylor]: Taking taylor expansion of 2 in n 0.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.614 * [taylor]: Taking taylor expansion of PI in n 0.614 * [taylor]: Taking taylor expansion of n in n 0.615 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) in k 0.615 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.615 * [taylor]: Taking taylor expansion of 1/2 in k 0.615 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.615 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.615 * [taylor]: Taking taylor expansion of 1 in k 0.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.615 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.615 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.615 * [taylor]: Taking taylor expansion of 2 in k 0.615 * [taylor]: Taking taylor expansion of PI in k 0.615 * [taylor]: Taking taylor expansion of (log n) in k 0.615 * [taylor]: Taking taylor expansion of n in k 0.617 * [taylor]: Taking taylor expansion of 0 in k 0.618 * [taylor]: Taking taylor expansion of 0 in k 0.619 * [taylor]: Taking taylor expansion of 0 in k 0.621 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 0.621 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 0.621 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.621 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.621 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.621 * [taylor]: Taking taylor expansion of 1/2 in k 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.621 * [taylor]: Taking taylor expansion of k in k 0.621 * [taylor]: Taking taylor expansion of 1 in k 0.621 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.621 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.621 * [taylor]: Taking taylor expansion of -2 in k 0.621 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.621 * [taylor]: Taking taylor expansion of PI in k 0.621 * [taylor]: Taking taylor expansion of n in k 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.622 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.622 * [taylor]: Taking taylor expansion of -1 in k 0.622 * [taylor]: Taking taylor expansion of k in k 0.622 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 0.622 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.622 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.622 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.622 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.622 * [taylor]: Taking taylor expansion of 1/2 in n 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.622 * [taylor]: Taking taylor expansion of k in n 0.622 * [taylor]: Taking taylor expansion of 1 in n 0.622 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.622 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.622 * [taylor]: Taking taylor expansion of -2 in n 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.623 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.623 * [taylor]: Taking taylor expansion of -1 in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 0.623 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.623 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.623 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.623 * [taylor]: Taking taylor expansion of 1/2 in n 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of 1 in n 0.623 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.623 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.623 * [taylor]: Taking taylor expansion of -2 in n 0.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.624 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.624 * [taylor]: Taking taylor expansion of -1 in n 0.624 * [taylor]: Taking taylor expansion of k in n 0.624 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.624 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.624 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.624 * [taylor]: Taking taylor expansion of 1/2 in k 0.624 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.624 * [taylor]: Taking taylor expansion of 1 in k 0.624 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.624 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.624 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.624 * [taylor]: Taking taylor expansion of -2 in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.624 * [taylor]: Taking taylor expansion of (log n) in k 0.624 * [taylor]: Taking taylor expansion of n in k 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.625 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.625 * [taylor]: Taking taylor expansion of -1 in k 0.625 * [taylor]: Taking taylor expansion of k in k 0.626 * [taylor]: Taking taylor expansion of 0 in k 0.627 * [taylor]: Taking taylor expansion of 0 in k 0.630 * [taylor]: Taking taylor expansion of 0 in k 0.630 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.630 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.630 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.630 * [taylor]: Taking taylor expansion of 2 in n 0.630 * [taylor]: Taking taylor expansion of (* n PI) in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.630 * [taylor]: Taking taylor expansion of 2 in n 0.630 * [taylor]: Taking taylor expansion of (* n PI) in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.631 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.631 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.631 * [taylor]: Taking taylor expansion of 2 in n 0.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.631 * [taylor]: Taking taylor expansion of PI in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.631 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.631 * [taylor]: Taking taylor expansion of 2 in n 0.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.631 * [taylor]: Taking taylor expansion of PI in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.632 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.632 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.632 * [taylor]: Taking taylor expansion of -2 in n 0.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.633 * [taylor]: Taking taylor expansion of -2 in n 0.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.634 * * * [progress]: simplifying candidates 0.635 * [simplify]: Simplifying using # : (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (log.f64 (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (neg.f64 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) 1) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 1)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 1)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 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PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 3)) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) k))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64) k) (/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) 0.663 * * [simplify]: iteration 0 : 5282 enodes (cost 2253 ) 0.671 * [simplify]: Simplified to: (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 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(sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (neg.f64 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (/.f64 (sqrt.f64 k) (pow.f64 n (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)) (sqrt.f64 k)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (exp.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 n (*.f64 2 PI.f64))) (cbrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (cbrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (*.f64 PI.f64 n) (+.f64 (+.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 k k)) (+.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (pow.f64 (log.f64 n) 2))))) (+.f64 (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))))))) (*.f64 (*.f64 (*.f64 k (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (log.f64 (*.f64 n (*.f64 2 PI.f64)))) -1/2))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 (pow.f64 (log.f64 n) 2) NAN.f64)))) (+.f64 (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64))))) (+.f64 (*.f64 k (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 3))) (+.f64 (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) NAN.f64)))) (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 5)))))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 3))))) (*.f64 1/2 (+.f64 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64))) (+.f64 (*.f64 k (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64))) (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 3))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) (pow.f64 NAN.f64 3)) (*.f64 k k)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) (pow.f64 NAN.f64 5)) (pow.f64 k 3)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) NAN.f64) k))) (+.f64 (/.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (/.f64 k NAN.f64)) (/.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) NAN.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) 0.672 * * * [progress]: adding candidates to table 0.776 * * [progress]: iteration 2 / 4 0.777 * * * [progress]: picking best candidate 0.794 * * * * [pick]: Picked # 0.794 * * * [progress]: localizing error 0.812 * * * [progress]: generating rewritten candidates 0.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.819 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.836 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.849 * * * [progress]: generating series expansions 0.849 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.849 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0 0.849 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 0.849 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 0.849 * [taylor]: Taking taylor expansion of 1/2 in n 0.849 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.849 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.849 * [taylor]: Taking taylor expansion of 2 in n 0.850 * [taylor]: Taking taylor expansion of (* n PI) in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [taylor]: Taking taylor expansion of PI in n 0.850 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 0.850 * [taylor]: Taking taylor expansion of 1/2 in n 0.850 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.850 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.850 * [taylor]: Taking taylor expansion of 2 in n 0.850 * [taylor]: Taking taylor expansion of (* n PI) in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [taylor]: Taking taylor expansion of PI in n 0.856 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0 0.856 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 0.857 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 0.857 * [taylor]: Taking taylor expansion of 1/2 in n 0.857 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.857 * [taylor]: Taking taylor expansion of 2 in n 0.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.857 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 0.857 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 0.857 * [taylor]: Taking taylor expansion of 1/2 in n 0.857 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.857 * [taylor]: Taking taylor expansion of 2 in n 0.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.863 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0 0.863 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 0.863 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 0.863 * [taylor]: Taking taylor expansion of 1/2 in n 0.863 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.863 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.863 * [taylor]: Taking taylor expansion of -2 in n 0.863 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.863 * [taylor]: Taking taylor expansion of PI in n 0.863 * [taylor]: Taking taylor expansion of n in n 0.864 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 0.864 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 0.864 * [taylor]: Taking taylor expansion of 1/2 in n 0.864 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.864 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.864 * [taylor]: Taking taylor expansion of -2 in n 0.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.864 * [taylor]: Taking taylor expansion of PI in n 0.864 * [taylor]: Taking taylor expansion of n in n 0.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.870 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in (n k) around 0 0.870 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 0.870 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 0.870 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 0.870 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 0.870 * [taylor]: Taking taylor expansion of 1/2 in k 0.870 * [taylor]: Taking taylor expansion of k in k 0.870 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.870 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.870 * [taylor]: Taking taylor expansion of 2 in k 0.870 * [taylor]: Taking taylor expansion of (* n PI) in k 0.870 * [taylor]: Taking taylor expansion of n in k 0.870 * [taylor]: Taking taylor expansion of PI in k 0.871 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.871 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.871 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.871 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.871 * [taylor]: Taking taylor expansion of 1/2 in n 0.871 * [taylor]: Taking taylor expansion of k in n 0.871 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.871 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.871 * [taylor]: Taking taylor expansion of 2 in n 0.871 * [taylor]: Taking taylor expansion of (* n PI) in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.871 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.871 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.871 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.871 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.871 * [taylor]: Taking taylor expansion of 1/2 in n 0.871 * [taylor]: Taking taylor expansion of k in n 0.871 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.871 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.871 * [taylor]: Taking taylor expansion of 2 in n 0.871 * [taylor]: Taking taylor expansion of (* n PI) in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.872 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 0.872 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 0.872 * [taylor]: Taking taylor expansion of 1/2 in k 0.872 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 0.872 * [taylor]: Taking taylor expansion of k in k 0.872 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.872 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.872 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.872 * [taylor]: Taking taylor expansion of 2 in k 0.872 * [taylor]: Taking taylor expansion of PI in k 0.872 * [taylor]: Taking taylor expansion of (log n) in k 0.872 * [taylor]: Taking taylor expansion of n in k 0.873 * [taylor]: Taking taylor expansion of 0 in k 0.874 * [taylor]: Taking taylor expansion of 0 in k 0.876 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in (n k) around 0 0.876 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 0.876 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 0.876 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 0.876 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 0.876 * [taylor]: Taking taylor expansion of 1/2 in k 0.876 * [taylor]: Taking taylor expansion of k in k 0.876 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.876 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.876 * [taylor]: Taking taylor expansion of 2 in k 0.876 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.876 * [taylor]: Taking taylor expansion of PI in k 0.876 * [taylor]: Taking taylor expansion of n in k 0.876 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.876 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.876 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 0.876 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 0.876 * [taylor]: Taking taylor expansion of 1/2 in n 0.876 * [taylor]: Taking taylor expansion of k in n 0.876 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.876 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.876 * [taylor]: Taking taylor expansion of 2 in n 0.876 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.876 * [taylor]: Taking taylor expansion of PI in n 0.876 * [taylor]: Taking taylor expansion of n in n 0.877 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.877 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.877 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 0.877 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 0.877 * [taylor]: Taking taylor expansion of 1/2 in n 0.877 * [taylor]: Taking taylor expansion of k in n 0.877 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.877 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.877 * [taylor]: Taking taylor expansion of 2 in n 0.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.877 * [taylor]: Taking taylor expansion of PI in n 0.877 * [taylor]: Taking taylor expansion of n in n 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.877 * [taylor]: Taking taylor expansion of 1/2 in k 0.877 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.877 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.877 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.877 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.877 * [taylor]: Taking taylor expansion of 2 in k 0.877 * [taylor]: Taking taylor expansion of PI in k 0.877 * [taylor]: Taking taylor expansion of (log n) in k 0.877 * [taylor]: Taking taylor expansion of n in k 0.878 * [taylor]: Taking taylor expansion of k in k 0.878 * [taylor]: Taking taylor expansion of 0 in k 0.879 * [taylor]: Taking taylor expansion of 0 in k 0.880 * [taylor]: Taking taylor expansion of 0 in k 0.880 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in (n k) around 0 0.880 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 0.880 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 0.880 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 0.880 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 0.880 * [taylor]: Taking taylor expansion of -1/2 in k 0.880 * [taylor]: Taking taylor expansion of k in k 0.880 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.880 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.880 * [taylor]: Taking taylor expansion of -2 in k 0.880 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.880 * [taylor]: Taking taylor expansion of PI in k 0.880 * [taylor]: Taking taylor expansion of n in k 0.881 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.881 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.881 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.881 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.881 * [taylor]: Taking taylor expansion of -1/2 in n 0.881 * [taylor]: Taking taylor expansion of k in n 0.881 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.881 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.881 * [taylor]: Taking taylor expansion of -2 in n 0.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.881 * [taylor]: Taking taylor expansion of PI in n 0.881 * [taylor]: Taking taylor expansion of n in n 0.881 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.881 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.881 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.881 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.881 * [taylor]: Taking taylor expansion of -1/2 in n 0.881 * [taylor]: Taking taylor expansion of k in n 0.881 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.881 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.881 * [taylor]: Taking taylor expansion of -2 in n 0.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.881 * [taylor]: Taking taylor expansion of PI in n 0.881 * [taylor]: Taking taylor expansion of n in n 0.882 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 0.882 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 0.882 * [taylor]: Taking taylor expansion of -1/2 in k 0.882 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 0.882 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.882 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.882 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.882 * [taylor]: Taking taylor expansion of -2 in k 0.882 * [taylor]: Taking taylor expansion of PI in k 0.882 * [taylor]: Taking taylor expansion of (log n) in k 0.882 * [taylor]: Taking taylor expansion of n in k 0.882 * [taylor]: Taking taylor expansion of k in k 0.883 * [taylor]: Taking taylor expansion of 0 in k 0.883 * [taylor]: Taking taylor expansion of 0 in k 0.884 * [taylor]: Taking taylor expansion of 0 in k 0.885 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.885 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in (n k) around 0 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in k 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in k 0.885 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 0.885 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 0.885 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 0.885 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 0.885 * [taylor]: Taking taylor expansion of 1/2 in k 0.885 * [taylor]: Taking taylor expansion of k in k 0.885 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.885 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.885 * [taylor]: Taking taylor expansion of 2 in k 0.885 * [taylor]: Taking taylor expansion of (* n PI) in k 0.885 * [taylor]: Taking taylor expansion of n in k 0.885 * [taylor]: Taking taylor expansion of PI in k 0.886 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in k 0.886 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in k 0.886 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in k 0.886 * [taylor]: Taking taylor expansion of PI in k 0.886 * [taylor]: Taking taylor expansion of (* n 2) in k 0.886 * [taylor]: Taking taylor expansion of n in k 0.886 * [taylor]: Taking taylor expansion of 2 in k 0.886 * [taylor]: Taking taylor expansion of k in k 0.886 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in n 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 0.886 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.886 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.886 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.886 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.886 * [taylor]: Taking taylor expansion of 1/2 in n 0.886 * [taylor]: Taking taylor expansion of k in n 0.886 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.886 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.886 * [taylor]: Taking taylor expansion of 2 in n 0.886 * [taylor]: Taking taylor expansion of (* n PI) in n 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [taylor]: Taking taylor expansion of PI in n 0.886 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in n 0.886 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in n 0.886 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in n 0.886 * [taylor]: Taking taylor expansion of PI in n 0.886 * [taylor]: Taking taylor expansion of (* n 2) in n 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [taylor]: Taking taylor expansion of 2 in n 0.887 * [taylor]: Taking taylor expansion of k in n 0.887 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in n 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 0.887 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.887 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.887 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.887 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.887 * [taylor]: Taking taylor expansion of 1/2 in n 0.887 * [taylor]: Taking taylor expansion of k in n 0.887 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.887 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.887 * [taylor]: Taking taylor expansion of 2 in n 0.887 * [taylor]: Taking taylor expansion of (* n PI) in n 0.887 * [taylor]: Taking taylor expansion of n in n 0.887 * [taylor]: Taking taylor expansion of PI in n 0.887 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in n 0.887 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in n 0.887 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in n 0.887 * [taylor]: Taking taylor expansion of PI in n 0.887 * [taylor]: Taking taylor expansion of (* n 2) in n 0.887 * [taylor]: Taking taylor expansion of n in n 0.887 * [taylor]: Taking taylor expansion of 2 in n 0.887 * [taylor]: Taking taylor expansion of k in n 0.888 * [taylor]: Taking taylor expansion of 0 in k 0.888 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 0.888 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.889 * [taylor]: Taking taylor expansion of NAN in k 0.889 * [taylor]: Taking taylor expansion of PI in k 0.889 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 0.889 * [taylor]: Taking taylor expansion of k in k 0.889 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 0.889 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 0.889 * [taylor]: Taking taylor expansion of 1/2 in k 0.889 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 0.889 * [taylor]: Taking taylor expansion of k in k 0.889 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.889 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.889 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.889 * [taylor]: Taking taylor expansion of 2 in k 0.889 * [taylor]: Taking taylor expansion of PI in k 0.889 * [taylor]: Taking taylor expansion of (log n) in k 0.889 * [taylor]: Taking taylor expansion of n in k 0.891 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 0.891 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.891 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.891 * [taylor]: Taking taylor expansion of NAN in k 0.891 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.891 * [taylor]: Taking taylor expansion of PI in k 0.891 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 0.891 * [taylor]: Taking taylor expansion of (pow k 2) in k 0.891 * [taylor]: Taking taylor expansion of k in k 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 0.891 * [taylor]: Taking taylor expansion of 1/2 in k 0.891 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 0.891 * [taylor]: Taking taylor expansion of k in k 0.891 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.891 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.891 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.891 * [taylor]: Taking taylor expansion of 2 in k 0.891 * [taylor]: Taking taylor expansion of PI in k 0.891 * [taylor]: Taking taylor expansion of (log n) in k 0.891 * [taylor]: Taking taylor expansion of n in k 0.897 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 0.897 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 0.897 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in k 0.897 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in k 0.897 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in k 0.897 * [taylor]: Taking taylor expansion of k in k 0.897 * [taylor]: Taking taylor expansion of (* PI 2) in k 0.897 * [taylor]: Taking taylor expansion of PI in k 0.897 * [taylor]: Taking taylor expansion of 2 in k 0.897 * [taylor]: Taking taylor expansion of n in k 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 0.897 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 0.897 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 0.897 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 0.897 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 0.897 * [taylor]: Taking taylor expansion of 1/2 in k 0.897 * [taylor]: Taking taylor expansion of k in k 0.897 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.897 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.898 * [taylor]: Taking taylor expansion of 2 in k 0.898 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.898 * [taylor]: Taking taylor expansion of PI in k 0.898 * [taylor]: Taking taylor expansion of n in k 0.898 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 0.898 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in n 0.898 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in n 0.898 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in n 0.898 * [taylor]: Taking taylor expansion of k in n 0.898 * [taylor]: Taking taylor expansion of (* PI 2) in n 0.898 * [taylor]: Taking taylor expansion of PI in n 0.898 * [taylor]: Taking taylor expansion of 2 in n 0.898 * [taylor]: Taking taylor expansion of n in n 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 0.898 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.898 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.898 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 0.898 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 0.898 * [taylor]: Taking taylor expansion of 1/2 in n 0.898 * [taylor]: Taking taylor expansion of k in n 0.898 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.898 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.898 * [taylor]: Taking taylor expansion of 2 in n 0.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.898 * [taylor]: Taking taylor expansion of PI in n 0.898 * [taylor]: Taking taylor expansion of n in n 0.899 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in n 0.899 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in n 0.899 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in n 0.899 * [taylor]: Taking taylor expansion of k in n 0.899 * [taylor]: Taking taylor expansion of (* PI 2) in n 0.899 * [taylor]: Taking taylor expansion of PI in n 0.899 * [taylor]: Taking taylor expansion of 2 in n 0.899 * [taylor]: Taking taylor expansion of n in n 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 0.899 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.899 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.899 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 0.899 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 0.899 * [taylor]: Taking taylor expansion of 1/2 in n 0.899 * [taylor]: Taking taylor expansion of k in n 0.899 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.899 * [taylor]: Taking taylor expansion of 2 in n 0.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.899 * [taylor]: Taking taylor expansion of PI in n 0.899 * [taylor]: Taking taylor expansion of n in n 0.900 * [taylor]: Taking taylor expansion of 0 in k 0.900 * [taylor]: Taking taylor expansion of (/ (* k (* NAN PI)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.900 * [taylor]: Taking taylor expansion of (* k (* NAN PI)) in k 0.901 * [taylor]: Taking taylor expansion of k in k 0.901 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.901 * [taylor]: Taking taylor expansion of NAN in k 0.901 * [taylor]: Taking taylor expansion of PI in k 0.901 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.901 * [taylor]: Taking taylor expansion of 1/2 in k 0.901 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.901 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.901 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.901 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.901 * [taylor]: Taking taylor expansion of 2 in k 0.901 * [taylor]: Taking taylor expansion of PI in k 0.901 * [taylor]: Taking taylor expansion of (log n) in k 0.901 * [taylor]: Taking taylor expansion of n in k 0.901 * [taylor]: Taking taylor expansion of k in k 0.903 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (pow NAN 3) (pow PI 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.903 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (pow NAN 3) (pow PI 2))) in k 0.903 * [taylor]: Taking taylor expansion of (pow k 2) in k 0.903 * [taylor]: Taking taylor expansion of k in k 0.903 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.903 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.903 * [taylor]: Taking taylor expansion of NAN in k 0.903 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.903 * [taylor]: Taking taylor expansion of PI in k 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.903 * [taylor]: Taking taylor expansion of 1/2 in k 0.903 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.903 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.903 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.903 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.903 * [taylor]: Taking taylor expansion of 2 in k 0.903 * [taylor]: Taking taylor expansion of PI in k 0.903 * [taylor]: Taking taylor expansion of (log n) in k 0.903 * [taylor]: Taking taylor expansion of n in k 0.903 * [taylor]: Taking taylor expansion of k in k 0.907 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (pow NAN 5) (pow PI 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.907 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (pow NAN 5) (pow PI 3))) in k 0.907 * [taylor]: Taking taylor expansion of (pow k 3) in k 0.907 * [taylor]: Taking taylor expansion of k in k 0.907 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 0.907 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 0.907 * [taylor]: Taking taylor expansion of NAN in k 0.907 * [taylor]: Taking taylor expansion of (pow PI 3) in k 0.907 * [taylor]: Taking taylor expansion of PI in k 0.907 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.907 * [taylor]: Taking taylor expansion of 1/2 in k 0.907 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.907 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.907 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.907 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.907 * [taylor]: Taking taylor expansion of 2 in k 0.907 * [taylor]: Taking taylor expansion of PI in k 0.907 * [taylor]: Taking taylor expansion of (log n) in k 0.907 * [taylor]: Taking taylor expansion of n in k 0.907 * [taylor]: Taking taylor expansion of k in k 0.912 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (pow NAN 7) (pow PI 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.912 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (pow NAN 7) (pow PI 4))) in k 0.912 * [taylor]: Taking taylor expansion of (pow k 4) in k 0.912 * [taylor]: Taking taylor expansion of k in k 0.912 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 0.912 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 0.912 * [taylor]: Taking taylor expansion of NAN in k 0.912 * [taylor]: Taking taylor expansion of (pow PI 4) in k 0.912 * [taylor]: Taking taylor expansion of PI in k 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.912 * [taylor]: Taking taylor expansion of 1/2 in k 0.912 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.912 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.912 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.912 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.912 * [taylor]: Taking taylor expansion of 2 in k 0.912 * [taylor]: Taking taylor expansion of PI in k 0.912 * [taylor]: Taking taylor expansion of (log n) in k 0.912 * [taylor]: Taking taylor expansion of n in k 0.912 * [taylor]: Taking taylor expansion of k in k 0.918 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (pow NAN 9) (pow PI 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.918 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (pow NAN 9) (pow PI 5))) in k 0.918 * [taylor]: Taking taylor expansion of (pow k 5) in k 0.918 * [taylor]: Taking taylor expansion of k in k 0.918 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 0.918 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 0.918 * [taylor]: Taking taylor expansion of NAN in k 0.918 * [taylor]: Taking taylor expansion of (pow PI 5) in k 0.918 * [taylor]: Taking taylor expansion of PI in k 0.918 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.918 * [taylor]: Taking taylor expansion of 1/2 in k 0.918 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.918 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.918 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.918 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.918 * [taylor]: Taking taylor expansion of 2 in k 0.918 * [taylor]: Taking taylor expansion of PI in k 0.918 * [taylor]: Taking taylor expansion of (log n) in k 0.918 * [taylor]: Taking taylor expansion of n in k 0.918 * [taylor]: Taking taylor expansion of k in k 0.926 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (pow NAN 11) (pow PI 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.926 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (pow NAN 11) (pow PI 6))) in k 0.926 * [taylor]: Taking taylor expansion of (pow k 6) in k 0.926 * [taylor]: Taking taylor expansion of k in k 0.926 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 0.926 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 0.926 * [taylor]: Taking taylor expansion of NAN in k 0.927 * [taylor]: Taking taylor expansion of (pow PI 6) in k 0.927 * [taylor]: Taking taylor expansion of PI in k 0.927 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.927 * [taylor]: Taking taylor expansion of 1/2 in k 0.927 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.927 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.927 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.927 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.927 * [taylor]: Taking taylor expansion of 2 in k 0.927 * [taylor]: Taking taylor expansion of PI in k 0.927 * [taylor]: Taking taylor expansion of (log n) in k 0.927 * [taylor]: Taking taylor expansion of n in k 0.927 * [taylor]: Taking taylor expansion of k in k 0.929 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in (n k) around 0 0.929 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in k 0.929 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 0.929 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 0.929 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.930 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.930 * [taylor]: Taking taylor expansion of -1 in k 0.930 * [taylor]: Taking taylor expansion of k in k 0.930 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 0.930 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 0.930 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 0.930 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 0.930 * [taylor]: Taking taylor expansion of -1/2 in k 0.930 * [taylor]: Taking taylor expansion of k in k 0.930 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.930 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.930 * [taylor]: Taking taylor expansion of -2 in k 0.930 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.930 * [taylor]: Taking taylor expansion of PI in k 0.930 * [taylor]: Taking taylor expansion of n in k 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k 0.930 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in k 0.930 * [taylor]: Taking taylor expansion of (* PI -2) in k 0.930 * [taylor]: Taking taylor expansion of PI in k 0.930 * [taylor]: Taking taylor expansion of -2 in k 0.931 * [taylor]: Taking taylor expansion of n in k 0.931 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in n 0.931 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 0.931 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 0.931 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.931 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.931 * [taylor]: Taking taylor expansion of -1 in n 0.931 * [taylor]: Taking taylor expansion of k in n 0.931 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.931 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.931 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.931 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.931 * [taylor]: Taking taylor expansion of -1/2 in n 0.931 * [taylor]: Taking taylor expansion of k in n 0.931 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.931 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.931 * [taylor]: Taking taylor expansion of -2 in n 0.931 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.931 * [taylor]: Taking taylor expansion of PI in n 0.931 * [taylor]: Taking taylor expansion of n in n 0.932 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 0.932 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in n 0.932 * [taylor]: Taking taylor expansion of (* PI -2) in n 0.932 * [taylor]: Taking taylor expansion of PI in n 0.932 * [taylor]: Taking taylor expansion of -2 in n 0.932 * [taylor]: Taking taylor expansion of n in n 0.932 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in n 0.932 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 0.932 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 0.932 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.932 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.932 * [taylor]: Taking taylor expansion of -1 in n 0.932 * [taylor]: Taking taylor expansion of k in n 0.932 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.932 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.932 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.932 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.932 * [taylor]: Taking taylor expansion of -1/2 in n 0.932 * [taylor]: Taking taylor expansion of k in n 0.932 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.932 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.932 * [taylor]: Taking taylor expansion of -2 in n 0.932 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.932 * [taylor]: Taking taylor expansion of PI in n 0.932 * [taylor]: Taking taylor expansion of n in n 0.933 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 0.933 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in n 0.933 * [taylor]: Taking taylor expansion of (* PI -2) in n 0.933 * [taylor]: Taking taylor expansion of PI in n 0.933 * [taylor]: Taking taylor expansion of -2 in n 0.933 * [taylor]: Taking taylor expansion of n in n 0.933 * [taylor]: Taking taylor expansion of 0 in k 0.937 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 0.937 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.937 * [taylor]: Taking taylor expansion of NAN in k 0.937 * [taylor]: Taking taylor expansion of PI in k 0.937 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 0.937 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.937 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.937 * [taylor]: Taking taylor expansion of -1 in k 0.937 * [taylor]: Taking taylor expansion of k in k 0.937 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 0.937 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 0.937 * [taylor]: Taking taylor expansion of -1/2 in k 0.937 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 0.937 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.937 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.937 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.937 * [taylor]: Taking taylor expansion of -2 in k 0.937 * [taylor]: Taking taylor expansion of PI in k 0.937 * [taylor]: Taking taylor expansion of (log n) in k 0.937 * [taylor]: Taking taylor expansion of n in k 0.937 * [taylor]: Taking taylor expansion of k in k 0.940 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 0.940 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.940 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.940 * [taylor]: Taking taylor expansion of NAN in k 0.940 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.940 * [taylor]: Taking taylor expansion of PI in k 0.940 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 0.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.940 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.940 * [taylor]: Taking taylor expansion of -1 in k 0.940 * [taylor]: Taking taylor expansion of k in k 0.940 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 0.940 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 0.940 * [taylor]: Taking taylor expansion of -1/2 in k 0.940 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 0.940 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.940 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.940 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.940 * [taylor]: Taking taylor expansion of -2 in k 0.940 * [taylor]: Taking taylor expansion of PI in k 0.940 * [taylor]: Taking taylor expansion of (log n) in k 0.940 * [taylor]: Taking taylor expansion of n in k 0.940 * [taylor]: Taking taylor expansion of k in k 0.943 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.943 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.943 * [taylor]: Taking taylor expansion of 2 in n 0.943 * [taylor]: Taking taylor expansion of (* n PI) in n 0.943 * [taylor]: Taking taylor expansion of n in n 0.943 * [taylor]: Taking taylor expansion of PI in n 0.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.944 * [taylor]: Taking taylor expansion of 2 in n 0.944 * [taylor]: Taking taylor expansion of (* n PI) in n 0.944 * [taylor]: Taking taylor expansion of n in n 0.944 * [taylor]: Taking taylor expansion of PI in n 0.945 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.945 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.945 * [taylor]: Taking taylor expansion of 2 in n 0.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.945 * [taylor]: Taking taylor expansion of PI in n 0.945 * [taylor]: Taking taylor expansion of n in n 0.945 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.945 * [taylor]: Taking taylor expansion of 2 in n 0.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.945 * [taylor]: Taking taylor expansion of PI in n 0.945 * [taylor]: Taking taylor expansion of n in n 0.946 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.946 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.946 * [taylor]: Taking taylor expansion of -2 in n 0.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.946 * [taylor]: Taking taylor expansion of PI in n 0.946 * [taylor]: Taking taylor expansion of n in n 0.946 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.946 * [taylor]: Taking taylor expansion of -2 in n 0.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.946 * [taylor]: Taking taylor expansion of PI in n 0.946 * [taylor]: Taking taylor expansion of n in n 0.947 * * * [progress]: simplifying candidates 0.949 * [simplify]: Simplifying using # : (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (*.f64 1 (/.f64 1 2)) (*.f64 1 (/.f64 1 2)) (*.f64 1 (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 1 2)) (cbrt.f64 (/.f64 1 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 1 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 1) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 1) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 2 PI.f64) (/.f64 1 2)) (pow.f64 n (/.f64 1 2)) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (pow.f64 (*.f64 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(*.f64 2 PI.f64))) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (exp.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 n (*.f64 2 PI.f64))) (cbrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (cbrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 2 n) (*.f64 (*.f64 2 PI.f64) (cbrt.f64 n)) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 n (*.f64 2 PI.f64)) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (sqrt.f64 (exp.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) (+.f64 (*.f64 1/4 (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) (*.f64 k k)))) (+.f64 (+.f64 1 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) k)) (*.f64 (*.f64 (*.f64 k k) 1/8) (+.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (pow.f64 (log.f64 n) 2))))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) k) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) k) (-.f64 (/.f64 (*.f64 NAN.f64 (*.f64 PI.f64 n)) k) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 PI.f64 PI.f64) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 n) (*.f64 n n)))) k)) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 3) k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) (*.f64 PI.f64 PI.f64)))) (*.f64 (*.f64 NAN.f64 (*.f64 PI.f64 n)) (log.f64 (*.f64 n (*.f64 2 PI.f64)))))))) (+.f64 (/.f64 (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3)) (*.f64 (*.f64 k k) (*.f64 n (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) k)))) (+.f64 (/.f64 (*.f64 PI.f64 NAN.f64) (*.f64 k (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) k))) (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 k 3) (*.f64 n (*.f64 n (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) k))))) (pow.f64 PI.f64 3)))) (+.f64 (/.f64 PI.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) k)) (*.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) k)) (+.f64 (/.f64 PI.f64 k) (neg.f64 (/.f64 (*.f64 PI.f64 PI.f64) n))))) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) 0.999 * * * [progress]: adding candidates to table 1.281 * * [progress]: iteration 3 / 4 1.282 * * * [progress]: picking best candidate 1.300 * * * * [pick]: Picked # 1.300 * * * [progress]: localizing error 1.330 * * * [progress]: generating rewritten candidates 1.331 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.339 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.346 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 1.347 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 2) 1.351 * * * [progress]: generating series expansions 1.351 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.351 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (/ 1 (pow (cbrt 2) 2))) in (n) around 0 1.351 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (/ 1 (pow (cbrt 2) 2))) in n 1.351 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (* n PI))))) in n 1.351 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (* n PI)))) in n 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt 2) 2)) in n 1.351 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 2) in n 1.351 * [taylor]: Taking taylor expansion of (cbrt 2) in n 1.351 * [taylor]: Taking taylor expansion of 2 in n 1.352 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.352 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.352 * [taylor]: Taking taylor expansion of 2 in n 1.352 * [taylor]: Taking taylor expansion of (* n PI) in n 1.352 * [taylor]: Taking taylor expansion of n in n 1.352 * [taylor]: Taking taylor expansion of PI in n 1.352 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (/ 1 (pow (cbrt 2) 2))) in n 1.352 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (* n PI))))) in n 1.352 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (* n PI)))) in n 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt 2) 2)) in n 1.352 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 2) in n 1.352 * [taylor]: Taking taylor expansion of (cbrt 2) in n 1.352 * [taylor]: Taking taylor expansion of 2 in n 1.352 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.353 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.353 * [taylor]: Taking taylor expansion of 2 in n 1.353 * [taylor]: Taking taylor expansion of (* n PI) in n 1.353 * [taylor]: Taking taylor expansion of n in n 1.353 * [taylor]: Taking taylor expansion of PI in n 1.364 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1 (pow (cbrt 2) 2))) in (n) around 0 1.364 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1 (pow (cbrt 2) 2))) in n 1.364 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (/ PI n))))) in n 1.364 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (/ PI n)))) in n 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt 2) 2)) in n 1.364 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 2) in n 1.364 * [taylor]: Taking taylor expansion of (cbrt 2) in n 1.364 * [taylor]: Taking taylor expansion of 2 in n 1.364 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.364 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.364 * [taylor]: Taking taylor expansion of 2 in n 1.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.364 * [taylor]: Taking taylor expansion of PI in n 1.364 * [taylor]: Taking taylor expansion of n in n 1.365 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1 (pow (cbrt 2) 2))) in n 1.365 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (/ PI n))))) in n 1.365 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt 2) 2)) (log (* 2 (/ PI n)))) in n 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt 2) 2)) in n 1.365 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 2) in n 1.365 * [taylor]: Taking taylor expansion of (cbrt 2) in n 1.365 * [taylor]: Taking taylor expansion of 2 in n 1.365 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.365 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.365 * [taylor]: Taking taylor expansion of 2 in n 1.365 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.365 * [taylor]: Taking taylor expansion of PI in n 1.365 * [taylor]: Taking taylor expansion of n in n 1.376 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ 1 (pow (cbrt 2) 2))) in (n) around 0 1.376 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ 1 (pow (cbrt 2) 2))) in n 1.376 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow (cbrt 2) 2)) (log (* -2 (/ PI n))))) in n 1.376 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt 2) 2)) (log (* -2 (/ PI n)))) in n 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt 2) 2)) in n 1.376 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 2) in n 1.376 * [taylor]: Taking taylor expansion of (cbrt 2) in n 1.376 * [taylor]: Taking taylor expansion of 2 in n 1.377 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.377 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.377 * [taylor]: Taking taylor expansion of -2 in n 1.377 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.377 * [taylor]: Taking taylor expansion of PI in n 1.377 * [taylor]: Taking taylor expansion of n in n 1.377 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ 1 (pow (cbrt 2) 2))) in n 1.377 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow (cbrt 2) 2)) (log (* -2 (/ PI n))))) in n 1.377 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt 2) 2)) (log (* -2 (/ PI n)))) in n 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt 2) 2)) in n 1.377 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 2) in n 1.377 * [taylor]: Taking taylor expansion of (cbrt 2) in n 1.377 * [taylor]: Taking taylor expansion of 2 in n 1.377 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.377 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.378 * [taylor]: Taking taylor expansion of -2 in n 1.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.378 * [taylor]: Taking taylor expansion of PI in n 1.378 * [taylor]: Taking taylor expansion of n in n 1.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.388 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 2) 1.389 * * * [progress]: simplifying candidates 1.390 * [simplify]: Simplifying using # : (*.f64 (+.f64 (log.f64 n) (+.f64 (log.f64 2) (log.f64 PI.f64))) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 1 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 1 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 1 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (cbrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (sqrt.f64 1) (cbrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (cbrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) 1) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) 1) (pow.f64 n (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (log.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (*.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))) 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))) 2)) (neg.f64 (+.f64 1/3 1/3)) (neg.f64 (+.f64 1 1)) (neg.f64 1/3) (neg.f64 1) (neg.f64 2) (neg.f64 (+.f64 1 1)) (neg.f64 1) (neg.f64 (*.f64 2 1/3)) (neg.f64 (*.f64 2 1)) (neg.f64 (+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 2)))) (neg.f64 (log.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (-.f64 0 (+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 2)))) (-.f64 0 (log.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (-.f64 (log.f64 1) (+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 2)))) (-.f64 (log.f64 1) (log.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (exp.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (/.f64 (*.f64 (*.f64 1 1) 1) (*.f64 2 2)) (/.f64 (*.f64 (*.f64 1 1) 1) (*.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (*.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (neg.f64 1) (neg.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (cbrt.f64 2)) (/.f64 (cbrt.f64 1) (cbrt.f64 2)) (/.f64 (sqrt.f64 1) (cbrt.f64 2)) (/.f64 (sqrt.f64 1) (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) 1) (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) (cbrt.f64 1)) (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) (sqrt.f64 1)) (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) 1) (log.f64 (cbrt.f64 2)) (exp.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1) (cbrt.f64 2) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 2)) (exp.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1) (cbrt.f64 2) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 2)) (exp.f64 (/.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (pow.f64 (cbrt.f64 2) 2))) (exp.f64 (/.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (pow.f64 (cbrt.f64 2) 2))) (exp.f64 (/.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) 1.431 * * [simplify]: iteration 0 : 4885 enodes (cost 591 ) 1.431 * * [simplify]: iteration 1 : 4885 enodes (cost 591 ) 1.435 * [simplify]: Simplified to: (/.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (cbrt.f64 2) 2)) (/.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (cbrt.f64 2) 2)) (/.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (cbrt.f64 2) 2)) (/.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (cbrt.f64 2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (fabs.f64 (/.f64 1 (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (cbrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (cbrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (cbrt.f64 2))) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (pow.f64 n (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (*.f64 2 PI.f64) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (cbrt.f64 2) 2)) (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (pow.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) 3) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1/2 (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1/2 (pow.f64 (cbrt.f64 2) 2))) -2/3 -2 -1/3 -1 -2 -2 -1 -2/3 -2 (*.f64 -2 (log.f64 (cbrt.f64 2))) (*.f64 -2 (log.f64 (cbrt.f64 2))) (*.f64 -2 (log.f64 (cbrt.f64 2))) (*.f64 -2 (log.f64 (cbrt.f64 2))) (*.f64 -2 (log.f64 (cbrt.f64 2))) (*.f64 -2 (log.f64 (cbrt.f64 2))) (*.f64 -2 (log.f64 (cbrt.f64 2))) (exp.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) 1/4 1/4 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) 1/4 (fabs.f64 (/.f64 1 (cbrt.f64 2))) (fabs.f64 (/.f64 1 (cbrt.f64 2))) -1 (neg.f64 (pow.f64 (cbrt.f64 2) 2)) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (cbrt.f64 2)) (/.f64 (cbrt.f64 1) (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (cbrt.f64 2) 2) (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 1)) (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 2) 2) (log.f64 (cbrt.f64 2)) (exp.f64 (cbrt.f64 2)) (cbrt.f64 (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1) (cbrt.f64 2) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)) 2 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 2)) (exp.f64 (cbrt.f64 2)) (cbrt.f64 (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1) (cbrt.f64 2) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)) 2 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (exp.f64 (/.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) 1.435 * * * [progress]: adding candidates to table 1.508 * * [progress]: iteration 4 / 4 1.508 * * * [progress]: picking best candidate 1.524 * * * * [pick]: Picked # 1.524 * * * [progress]: localizing error 1.544 * * * [progress]: generating rewritten candidates 1.545 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.554 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.571 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 1.580 * * * [progress]: generating series expansions 1.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.580 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0 1.580 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 1.580 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 1.580 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 1.580 * [taylor]: Taking taylor expansion of 1/2 in n 1.580 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.580 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.580 * [taylor]: Taking taylor expansion of 2 in n 1.580 * [taylor]: Taking taylor expansion of (* n PI) in n 1.580 * [taylor]: Taking taylor expansion of n in n 1.580 * [taylor]: Taking taylor expansion of PI in n 1.580 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 1.581 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 1.581 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 1.581 * [taylor]: Taking taylor expansion of 1/2 in n 1.581 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.581 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.581 * [taylor]: Taking taylor expansion of 2 in n 1.581 * [taylor]: Taking taylor expansion of (* n PI) in n 1.581 * [taylor]: Taking taylor expansion of n in n 1.581 * [taylor]: Taking taylor expansion of PI in n 1.587 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0 1.587 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 1.587 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 1.587 * [taylor]: Taking taylor expansion of 1/2 in n 1.587 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.587 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.587 * [taylor]: Taking taylor expansion of 2 in n 1.587 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.587 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.587 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 1.587 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 1.587 * [taylor]: Taking taylor expansion of 1/2 in n 1.587 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.587 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.587 * [taylor]: Taking taylor expansion of 2 in n 1.587 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.587 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.594 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0 1.594 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1.594 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1.594 * [taylor]: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1.594 * [taylor]: Taking taylor expansion of 1/2 in n 1.594 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.594 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of -2 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1.594 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1.594 * [taylor]: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1.594 * [taylor]: Taking taylor expansion of 1/2 in n 1.594 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.594 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of -2 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.601 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.601 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in (n k) around 0 1.601 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.601 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.601 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.601 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.601 * [taylor]: Taking taylor expansion of 1/2 in k 1.601 * [taylor]: Taking taylor expansion of k in k 1.601 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.601 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.601 * [taylor]: Taking taylor expansion of 2 in k 1.601 * [taylor]: Taking taylor expansion of (* n PI) in k 1.601 * [taylor]: Taking taylor expansion of n in k 1.601 * [taylor]: Taking taylor expansion of PI in k 1.601 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.601 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.601 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.601 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.601 * [taylor]: Taking taylor expansion of 1/2 in n 1.601 * [taylor]: Taking taylor expansion of k in n 1.601 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.601 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.601 * [taylor]: Taking taylor expansion of 2 in n 1.601 * [taylor]: Taking taylor expansion of (* n PI) in n 1.601 * [taylor]: Taking taylor expansion of n in n 1.601 * [taylor]: Taking taylor expansion of PI in n 1.602 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.602 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.602 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.602 * [taylor]: Taking taylor expansion of 1/2 in n 1.602 * [taylor]: Taking taylor expansion of k in n 1.602 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.602 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.602 * [taylor]: Taking taylor expansion of 2 in n 1.602 * [taylor]: Taking taylor expansion of (* n PI) in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.602 * [taylor]: Taking taylor expansion of PI in n 1.602 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.602 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.602 * [taylor]: Taking taylor expansion of 1/2 in k 1.602 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.602 * [taylor]: Taking taylor expansion of k in k 1.602 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.602 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.602 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.602 * [taylor]: Taking taylor expansion of 2 in k 1.602 * [taylor]: Taking taylor expansion of PI in k 1.603 * [taylor]: Taking taylor expansion of (log n) in k 1.603 * [taylor]: Taking taylor expansion of n in k 1.603 * [taylor]: Taking taylor expansion of 0 in k 1.604 * [taylor]: Taking taylor expansion of 0 in k 1.606 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in (n k) around 0 1.606 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.606 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.606 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.606 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.606 * [taylor]: Taking taylor expansion of 1/2 in k 1.606 * [taylor]: Taking taylor expansion of k in k 1.606 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.606 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.606 * [taylor]: Taking taylor expansion of 2 in k 1.606 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.606 * [taylor]: Taking taylor expansion of PI in k 1.606 * [taylor]: Taking taylor expansion of n in k 1.607 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.607 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.607 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.607 * [taylor]: Taking taylor expansion of 1/2 in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of 2 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.607 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.607 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.607 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.607 * [taylor]: Taking taylor expansion of 1/2 in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of 2 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.608 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.608 * [taylor]: Taking taylor expansion of 1/2 in k 1.608 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.608 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.608 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.608 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.608 * [taylor]: Taking taylor expansion of 2 in k 1.608 * [taylor]: Taking taylor expansion of PI in k 1.608 * [taylor]: Taking taylor expansion of (log n) in k 1.608 * [taylor]: Taking taylor expansion of n in k 1.608 * [taylor]: Taking taylor expansion of k in k 1.609 * [taylor]: Taking taylor expansion of 0 in k 1.609 * [taylor]: Taking taylor expansion of 0 in k 1.610 * [taylor]: Taking taylor expansion of 0 in k 1.610 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in (n k) around 0 1.611 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.611 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.611 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.611 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.611 * [taylor]: Taking taylor expansion of -1/2 in k 1.611 * [taylor]: Taking taylor expansion of k in k 1.611 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.611 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.611 * [taylor]: Taking taylor expansion of -2 in k 1.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.611 * [taylor]: Taking taylor expansion of PI in k 1.611 * [taylor]: Taking taylor expansion of n in k 1.611 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.611 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.611 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.611 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.611 * [taylor]: Taking taylor expansion of -1/2 in n 1.611 * [taylor]: Taking taylor expansion of k in n 1.611 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.611 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.611 * [taylor]: Taking taylor expansion of -2 in n 1.611 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.611 * [taylor]: Taking taylor expansion of PI in n 1.611 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.611 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.611 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.611 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.611 * [taylor]: Taking taylor expansion of -1/2 in n 1.611 * [taylor]: Taking taylor expansion of k in n 1.612 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.612 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.612 * [taylor]: Taking taylor expansion of -2 in n 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.612 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.612 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.612 * [taylor]: Taking taylor expansion of -1/2 in k 1.612 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.612 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.612 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.612 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.612 * [taylor]: Taking taylor expansion of -2 in k 1.612 * [taylor]: Taking taylor expansion of PI in k 1.612 * [taylor]: Taking taylor expansion of (log n) in k 1.612 * [taylor]: Taking taylor expansion of n in k 1.612 * [taylor]: Taking taylor expansion of k in k 1.613 * [taylor]: Taking taylor expansion of 0 in k 1.614 * [taylor]: Taking taylor expansion of 0 in k 1.614 * [taylor]: Taking taylor expansion of 0 in k 1.615 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.615 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in (n k) around 0 1.615 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in k 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in k 1.615 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.615 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.615 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.615 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.615 * [taylor]: Taking taylor expansion of 1/2 in k 1.615 * [taylor]: Taking taylor expansion of k in k 1.615 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.615 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.615 * [taylor]: Taking taylor expansion of 2 in k 1.615 * [taylor]: Taking taylor expansion of (* n PI) in k 1.615 * [taylor]: Taking taylor expansion of n in k 1.615 * [taylor]: Taking taylor expansion of PI in k 1.616 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in k 1.616 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in k 1.616 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in k 1.616 * [taylor]: Taking taylor expansion of PI in k 1.616 * [taylor]: Taking taylor expansion of (* n 2) in k 1.616 * [taylor]: Taking taylor expansion of n in k 1.616 * [taylor]: Taking taylor expansion of 2 in k 1.616 * [taylor]: Taking taylor expansion of k in k 1.616 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.616 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.616 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.616 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.616 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.616 * [taylor]: Taking taylor expansion of 1/2 in n 1.616 * [taylor]: Taking taylor expansion of k in n 1.616 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.616 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.616 * [taylor]: Taking taylor expansion of 2 in n 1.616 * [taylor]: Taking taylor expansion of (* n PI) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in n 1.616 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in n 1.617 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in n 1.617 * [taylor]: Taking taylor expansion of PI in n 1.617 * [taylor]: Taking taylor expansion of (* n 2) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of 2 in n 1.617 * [taylor]: Taking taylor expansion of k in n 1.617 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* PI (* n 2)) k))) in n 1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.617 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.617 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.617 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.617 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.617 * [taylor]: Taking taylor expansion of 1/2 in n 1.617 * [taylor]: Taking taylor expansion of k in n 1.617 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.617 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.617 * [taylor]: Taking taylor expansion of 2 in n 1.617 * [taylor]: Taking taylor expansion of (* n PI) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of PI in n 1.617 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in n 1.617 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in n 1.617 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in n 1.617 * [taylor]: Taking taylor expansion of PI in n 1.617 * [taylor]: Taking taylor expansion of (* n 2) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.618 * [taylor]: Taking taylor expansion of 2 in n 1.618 * [taylor]: Taking taylor expansion of k in n 1.618 * [taylor]: Taking taylor expansion of 0 in k 1.619 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.619 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.619 * [taylor]: Taking taylor expansion of NAN in k 1.619 * [taylor]: Taking taylor expansion of PI in k 1.619 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.619 * [taylor]: Taking taylor expansion of k in k 1.619 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.619 * [taylor]: Taking taylor expansion of 1/2 in k 1.619 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.619 * [taylor]: Taking taylor expansion of k in k 1.619 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.619 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.619 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.619 * [taylor]: Taking taylor expansion of 2 in k 1.619 * [taylor]: Taking taylor expansion of PI in k 1.619 * [taylor]: Taking taylor expansion of (log n) in k 1.619 * [taylor]: Taking taylor expansion of n in k 1.621 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.621 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.621 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.621 * [taylor]: Taking taylor expansion of NAN in k 1.621 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.621 * [taylor]: Taking taylor expansion of PI in k 1.622 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.622 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.622 * [taylor]: Taking taylor expansion of k in k 1.622 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.622 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.622 * [taylor]: Taking taylor expansion of 1/2 in k 1.622 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.622 * [taylor]: Taking taylor expansion of k in k 1.622 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.622 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.622 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.622 * [taylor]: Taking taylor expansion of 2 in k 1.622 * [taylor]: Taking taylor expansion of PI in k 1.622 * [taylor]: Taking taylor expansion of (log n) in k 1.622 * [taylor]: Taking taylor expansion of n in k 1.627 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 1.628 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 1.628 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in k 1.628 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in k 1.628 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in k 1.628 * [taylor]: Taking taylor expansion of k in k 1.628 * [taylor]: Taking taylor expansion of (* PI 2) in k 1.628 * [taylor]: Taking taylor expansion of PI in k 1.628 * [taylor]: Taking taylor expansion of 2 in k 1.628 * [taylor]: Taking taylor expansion of n in k 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1.628 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.628 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.628 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.628 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.628 * [taylor]: Taking taylor expansion of 1/2 in k 1.628 * [taylor]: Taking taylor expansion of k in k 1.628 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.628 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.628 * [taylor]: Taking taylor expansion of 2 in k 1.628 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.628 * [taylor]: Taking taylor expansion of PI in k 1.628 * [taylor]: Taking taylor expansion of n in k 1.628 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.628 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in n 1.629 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in n 1.629 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in n 1.629 * [taylor]: Taking taylor expansion of k in n 1.629 * [taylor]: Taking taylor expansion of (* PI 2) in n 1.629 * [taylor]: Taking taylor expansion of PI in n 1.629 * [taylor]: Taking taylor expansion of 2 in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.629 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.629 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.629 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.629 * [taylor]: Taking taylor expansion of 1/2 in n 1.629 * [taylor]: Taking taylor expansion of k in n 1.629 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.629 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.629 * [taylor]: Taking taylor expansion of 2 in n 1.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.629 * [taylor]: Taking taylor expansion of PI in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.629 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.629 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in n 1.629 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in n 1.629 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in n 1.629 * [taylor]: Taking taylor expansion of k in n 1.629 * [taylor]: Taking taylor expansion of (* PI 2) in n 1.629 * [taylor]: Taking taylor expansion of PI in n 1.629 * [taylor]: Taking taylor expansion of 2 in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.630 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.630 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.630 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.630 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.630 * [taylor]: Taking taylor expansion of 1/2 in n 1.630 * [taylor]: Taking taylor expansion of k in n 1.630 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.630 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.630 * [taylor]: Taking taylor expansion of 2 in n 1.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.630 * [taylor]: Taking taylor expansion of PI in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of 0 in k 1.631 * [taylor]: Taking taylor expansion of (/ (* k (* NAN PI)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.631 * [taylor]: Taking taylor expansion of (* k (* NAN PI)) in k 1.631 * [taylor]: Taking taylor expansion of k in k 1.631 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.631 * [taylor]: Taking taylor expansion of NAN in k 1.631 * [taylor]: Taking taylor expansion of PI in k 1.631 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.631 * [taylor]: Taking taylor expansion of 1/2 in k 1.631 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.631 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.631 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.631 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.631 * [taylor]: Taking taylor expansion of 2 in k 1.631 * [taylor]: Taking taylor expansion of PI in k 1.632 * [taylor]: Taking taylor expansion of (log n) in k 1.632 * [taylor]: Taking taylor expansion of n in k 1.632 * [taylor]: Taking taylor expansion of k in k 1.634 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (pow NAN 3) (pow PI 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.634 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (pow NAN 3) (pow PI 2))) in k 1.634 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.634 * [taylor]: Taking taylor expansion of k in k 1.634 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.634 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.634 * [taylor]: Taking taylor expansion of NAN in k 1.634 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.634 * [taylor]: Taking taylor expansion of PI in k 1.634 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.634 * [taylor]: Taking taylor expansion of 1/2 in k 1.634 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.634 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.634 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.634 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.634 * [taylor]: Taking taylor expansion of 2 in k 1.634 * [taylor]: Taking taylor expansion of PI in k 1.635 * [taylor]: Taking taylor expansion of (log n) in k 1.635 * [taylor]: Taking taylor expansion of n in k 1.635 * [taylor]: Taking taylor expansion of k in k 1.638 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (pow NAN 5) (pow PI 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.638 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (pow NAN 5) (pow PI 3))) in k 1.638 * [taylor]: Taking taylor expansion of (pow k 3) in k 1.638 * [taylor]: Taking taylor expansion of k in k 1.638 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 1.638 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 1.638 * [taylor]: Taking taylor expansion of NAN in k 1.638 * [taylor]: Taking taylor expansion of (pow PI 3) in k 1.638 * [taylor]: Taking taylor expansion of PI in k 1.638 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.638 * [taylor]: Taking taylor expansion of 1/2 in k 1.638 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.638 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.638 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.638 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.638 * [taylor]: Taking taylor expansion of 2 in k 1.638 * [taylor]: Taking taylor expansion of PI in k 1.638 * [taylor]: Taking taylor expansion of (log n) in k 1.638 * [taylor]: Taking taylor expansion of n in k 1.638 * [taylor]: Taking taylor expansion of k in k 1.643 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (pow NAN 7) (pow PI 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.643 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (pow NAN 7) (pow PI 4))) in k 1.643 * [taylor]: Taking taylor expansion of (pow k 4) in k 1.643 * [taylor]: Taking taylor expansion of k in k 1.643 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 1.643 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 1.643 * [taylor]: Taking taylor expansion of NAN in k 1.643 * [taylor]: Taking taylor expansion of (pow PI 4) in k 1.643 * [taylor]: Taking taylor expansion of PI in k 1.644 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.644 * [taylor]: Taking taylor expansion of 1/2 in k 1.644 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.644 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.644 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.644 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.644 * [taylor]: Taking taylor expansion of 2 in k 1.644 * [taylor]: Taking taylor expansion of PI in k 1.644 * [taylor]: Taking taylor expansion of (log n) in k 1.644 * [taylor]: Taking taylor expansion of n in k 1.644 * [taylor]: Taking taylor expansion of k in k 1.652 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (pow NAN 9) (pow PI 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.652 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (pow NAN 9) (pow PI 5))) in k 1.652 * [taylor]: Taking taylor expansion of (pow k 5) in k 1.652 * [taylor]: Taking taylor expansion of k in k 1.652 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 1.652 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 1.652 * [taylor]: Taking taylor expansion of NAN in k 1.653 * [taylor]: Taking taylor expansion of (pow PI 5) in k 1.653 * [taylor]: Taking taylor expansion of PI in k 1.653 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.653 * [taylor]: Taking taylor expansion of 1/2 in k 1.653 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.653 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.653 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.653 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.653 * [taylor]: Taking taylor expansion of 2 in k 1.653 * [taylor]: Taking taylor expansion of PI in k 1.653 * [taylor]: Taking taylor expansion of (log n) in k 1.653 * [taylor]: Taking taylor expansion of n in k 1.653 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (pow NAN 11) (pow PI 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.661 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (pow NAN 11) (pow PI 6))) in k 1.661 * [taylor]: Taking taylor expansion of (pow k 6) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 1.661 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 1.661 * [taylor]: Taking taylor expansion of NAN in k 1.661 * [taylor]: Taking taylor expansion of (pow PI 6) in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.661 * [taylor]: Taking taylor expansion of 1/2 in k 1.661 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.661 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.661 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.661 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.661 * [taylor]: Taking taylor expansion of 2 in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.661 * [taylor]: Taking taylor expansion of (log n) in k 1.661 * [taylor]: Taking taylor expansion of n in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.664 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in (n k) around 0 1.664 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in k 1.664 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 1.664 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 1.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.664 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.664 * [taylor]: Taking taylor expansion of -1 in k 1.664 * [taylor]: Taking taylor expansion of k in k 1.664 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.664 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.664 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.664 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.664 * [taylor]: Taking taylor expansion of -1/2 in k 1.664 * [taylor]: Taking taylor expansion of k in k 1.664 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.664 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.664 * [taylor]: Taking taylor expansion of -2 in k 1.664 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.664 * [taylor]: Taking taylor expansion of PI in k 1.664 * [taylor]: Taking taylor expansion of n in k 1.665 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k 1.665 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in k 1.665 * [taylor]: Taking taylor expansion of (* PI -2) in k 1.665 * [taylor]: Taking taylor expansion of PI in k 1.665 * [taylor]: Taking taylor expansion of -2 in k 1.665 * [taylor]: Taking taylor expansion of n in k 1.665 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in n 1.665 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 1.665 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.665 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.665 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.665 * [taylor]: Taking taylor expansion of -1 in n 1.665 * [taylor]: Taking taylor expansion of k in n 1.665 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.665 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.665 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.665 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.666 * [taylor]: Taking taylor expansion of -1/2 in n 1.666 * [taylor]: Taking taylor expansion of k in n 1.666 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.666 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.666 * [taylor]: Taking taylor expansion of -2 in n 1.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 1.666 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in n 1.666 * [taylor]: Taking taylor expansion of (* PI -2) in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.666 * [taylor]: Taking taylor expansion of -2 in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in n 1.666 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 1.666 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.666 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.666 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.666 * [taylor]: Taking taylor expansion of -1 in n 1.666 * [taylor]: Taking taylor expansion of k in n 1.667 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.667 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.667 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.667 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.667 * [taylor]: Taking taylor expansion of -1/2 in n 1.667 * [taylor]: Taking taylor expansion of k in n 1.667 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.667 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of -2 in n 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.667 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 1.667 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in n 1.667 * [taylor]: Taking taylor expansion of (* PI -2) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of -2 in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.668 * [taylor]: Taking taylor expansion of 0 in k 1.669 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.669 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.669 * [taylor]: Taking taylor expansion of NAN in k 1.669 * [taylor]: Taking taylor expansion of PI in k 1.669 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.669 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.669 * [taylor]: Taking taylor expansion of -1 in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.669 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.669 * [taylor]: Taking taylor expansion of -1/2 in k 1.669 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.669 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.669 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.669 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.669 * [taylor]: Taking taylor expansion of -2 in k 1.669 * [taylor]: Taking taylor expansion of PI in k 1.669 * [taylor]: Taking taylor expansion of (log n) in k 1.669 * [taylor]: Taking taylor expansion of n in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.672 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.672 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.672 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.672 * [taylor]: Taking taylor expansion of NAN in k 1.672 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.672 * [taylor]: Taking taylor expansion of PI in k 1.672 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.672 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.672 * [taylor]: Taking taylor expansion of -1 in k 1.672 * [taylor]: Taking taylor expansion of k in k 1.672 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.672 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.672 * [taylor]: Taking taylor expansion of -1/2 in k 1.672 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.672 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.672 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.672 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.672 * [taylor]: Taking taylor expansion of -2 in k 1.672 * [taylor]: Taking taylor expansion of PI in k 1.672 * [taylor]: Taking taylor expansion of (log n) in k 1.672 * [taylor]: Taking taylor expansion of n in k 1.672 * [taylor]: Taking taylor expansion of k in k 1.675 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1.675 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.675 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.675 * [taylor]: Taking taylor expansion of 2 in n 1.675 * [taylor]: Taking taylor expansion of (* n PI) in n 1.675 * [taylor]: Taking taylor expansion of n in n 1.675 * [taylor]: Taking taylor expansion of PI in n 1.675 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.675 * [taylor]: Taking taylor expansion of 2 in n 1.675 * [taylor]: Taking taylor expansion of (* n PI) in n 1.675 * [taylor]: Taking taylor expansion of n in n 1.675 * [taylor]: Taking taylor expansion of PI in n 1.676 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.678 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.678 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of -2 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of -2 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.679 * * * [progress]: simplifying candidates 1.680 * [simplify]: Simplifying using # : (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (*.f64 1 (/.f64 1 2)) (*.f64 1 (/.f64 1 2)) (*.f64 1 (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 1 2)) (cbrt.f64 (/.f64 1 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 1 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 1) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 1) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 2 PI.f64) (/.f64 1 2)) (pow.f64 n (/.f64 1 2)) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 1 2) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 1 2) 2)) (*.f64 (+.f64 (log.f64 n) (+.f64 (log.f64 2) (log.f64 PI.f64))) (/.f64 k 2)) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))) (/.f64 k 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2)) (*.f64 1 (/.f64 k 2)) (*.f64 1 (/.f64 k 2)) (*.f64 1 (/.f64 k 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (/.f64 k 2)) (cbrt.f64 (/.f64 k 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (sqrt.f64 (/.f64 k 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)) 1)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (sqrt.f64 k) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (sqrt.f64 k) (sqrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (sqrt.f64 k) 1)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 1 1)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) 1) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) k) (pow.f64 n (/.f64 k 2)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2)) (log.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (*.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (/.f64 k 2) 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (/.f64 k 2) 2)) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (log.f64 (sqrt.f64 k)))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (log.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 k)))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (log.f64 (sqrt.f64 k)))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (log.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 k)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (log.f64 (sqrt.f64 k)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (log.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 k)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (log.f64 (sqrt.f64 k)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (log.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 k)))) (-.f64 (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (+.f64 (log.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (log.f64 (sqrt.f64 k)))) (-.f64 (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (log.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) 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3)) (*.f64 (*.f64 k k) (*.f64 n (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) k)))) (+.f64 (/.f64 (*.f64 PI.f64 NAN.f64) (*.f64 k (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) k))) (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 k 3) (*.f64 n (*.f64 n (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) k))))) (pow.f64 PI.f64 3)))) (+.f64 (/.f64 PI.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) k)) (*.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) k)) (+.f64 (/.f64 PI.f64 k) (neg.f64 (/.f64 (*.f64 PI.f64 PI.f64) n))))) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) 1.731 * * * [progress]: adding candidates to table 1.815 * [progress]: [Phase 3 of 3] Extracting. 1.815 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.818 * * * [regime-changes]: Trying 2 branch expressions: (n k) 1.818 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 1.858 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 1.898 * * * [regime]: Found split indices: #