20.545 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.337 * * * [progress]: [2/2] Setting up program. 1.340 * [progress]: [Phase 2 of 3] Improving. 1.341 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.343 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 1.344 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 1.345 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 1.348 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 1.353 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 1.376 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 1.376 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.377 * * [progress]: iteration 1 / 4 1.377 * * * [progress]: picking best candidate 1.380 * * * * [pick]: Picked # 1.380 * * * [progress]: localizing error 1.394 * * * [progress]: generating rewritten candidates 1.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.407 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.412 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.416 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.431 * * * [progress]: generating series expansions 1.431 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.432 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.432 * [taylor]: Taking taylor expansion of 0.5 in k 1.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.432 * [taylor]: Taking taylor expansion of 1.0 in k 1.432 * [taylor]: Taking taylor expansion of k in k 1.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.432 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.432 * [taylor]: Taking taylor expansion of 2.0 in k 1.432 * [taylor]: Taking taylor expansion of (* n PI) in k 1.432 * [taylor]: Taking taylor expansion of n in k 1.432 * [taylor]: Taking taylor expansion of PI in k 1.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.432 * [taylor]: Taking taylor expansion of 0.5 in n 1.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.432 * [taylor]: Taking taylor expansion of 1.0 in n 1.432 * [taylor]: Taking taylor expansion of k in n 1.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.432 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.432 * [taylor]: Taking taylor expansion of 2.0 in n 1.432 * [taylor]: Taking taylor expansion of (* n PI) in n 1.432 * [taylor]: Taking taylor expansion of n in n 1.432 * [taylor]: Taking taylor expansion of PI in n 1.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.433 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.433 * [taylor]: Taking taylor expansion of 0.5 in n 1.433 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.433 * [taylor]: Taking taylor expansion of 1.0 in n 1.433 * [taylor]: Taking taylor expansion of k in n 1.433 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.433 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.433 * [taylor]: Taking taylor expansion of 2.0 in n 1.433 * [taylor]: Taking taylor expansion of (* n PI) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of PI in n 1.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.433 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.433 * [taylor]: Taking taylor expansion of 0.5 in k 1.433 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.433 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.433 * [taylor]: Taking taylor expansion of 1.0 in k 1.433 * [taylor]: Taking taylor expansion of k in k 1.433 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.433 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.433 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.433 * [taylor]: Taking taylor expansion of 2.0 in k 1.433 * [taylor]: Taking taylor expansion of PI in k 1.433 * [taylor]: Taking taylor expansion of (log n) in k 1.433 * [taylor]: Taking taylor expansion of n in k 1.434 * [taylor]: Taking taylor expansion of 0 in k 1.436 * [taylor]: Taking taylor expansion of 0 in k 1.438 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.438 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.438 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.438 * [taylor]: Taking taylor expansion of 0.5 in k 1.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.439 * [taylor]: Taking taylor expansion of 1.0 in k 1.439 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.439 * [taylor]: Taking taylor expansion of k in k 1.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.439 * [taylor]: Taking taylor expansion of 2.0 in k 1.439 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.439 * [taylor]: Taking taylor expansion of PI in k 1.439 * [taylor]: Taking taylor expansion of n in k 1.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.439 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.439 * [taylor]: Taking taylor expansion of 0.5 in n 1.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.439 * [taylor]: Taking taylor expansion of 1.0 in n 1.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.439 * [taylor]: Taking taylor expansion of k in n 1.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.439 * [taylor]: Taking taylor expansion of 2.0 in n 1.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.439 * [taylor]: Taking taylor expansion of PI in n 1.439 * [taylor]: Taking taylor expansion of n in n 1.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.440 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.440 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.440 * [taylor]: Taking taylor expansion of 0.5 in n 1.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.440 * [taylor]: Taking taylor expansion of 1.0 in n 1.440 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.440 * [taylor]: Taking taylor expansion of k in n 1.440 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.440 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.440 * [taylor]: Taking taylor expansion of 2.0 in n 1.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.440 * [taylor]: Taking taylor expansion of PI in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.440 * [taylor]: Taking taylor expansion of 0.5 in k 1.440 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.440 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.440 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.440 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.440 * [taylor]: Taking taylor expansion of 2.0 in k 1.440 * [taylor]: Taking taylor expansion of PI in k 1.440 * [taylor]: Taking taylor expansion of (log n) in k 1.440 * [taylor]: Taking taylor expansion of n in k 1.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.440 * [taylor]: Taking taylor expansion of 1.0 in k 1.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.440 * [taylor]: Taking taylor expansion of k in k 1.441 * [taylor]: Taking taylor expansion of 0 in k 1.442 * [taylor]: Taking taylor expansion of 0 in k 1.443 * [taylor]: Taking taylor expansion of 0 in k 1.443 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.443 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.443 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.443 * [taylor]: Taking taylor expansion of 0.5 in k 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.443 * [taylor]: Taking taylor expansion of k in k 1.443 * [taylor]: Taking taylor expansion of 1.0 in k 1.443 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.443 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.443 * [taylor]: Taking taylor expansion of -2.0 in k 1.444 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.444 * [taylor]: Taking taylor expansion of PI in k 1.444 * [taylor]: Taking taylor expansion of n in k 1.444 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.444 * [taylor]: Taking taylor expansion of 0.5 in n 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.444 * [taylor]: Taking taylor expansion of k in n 1.444 * [taylor]: Taking taylor expansion of 1.0 in n 1.444 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.444 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.444 * [taylor]: Taking taylor expansion of -2.0 in n 1.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.444 * [taylor]: Taking taylor expansion of PI in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.444 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.444 * [taylor]: Taking taylor expansion of 0.5 in n 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.444 * [taylor]: Taking taylor expansion of k in n 1.444 * [taylor]: Taking taylor expansion of 1.0 in n 1.445 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.445 * [taylor]: Taking taylor expansion of -2.0 in n 1.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.445 * [taylor]: Taking taylor expansion of PI in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.445 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.445 * [taylor]: Taking taylor expansion of 0.5 in k 1.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.445 * [taylor]: Taking taylor expansion of k in k 1.445 * [taylor]: Taking taylor expansion of 1.0 in k 1.445 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.445 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.445 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.445 * [taylor]: Taking taylor expansion of -2.0 in k 1.445 * [taylor]: Taking taylor expansion of PI in k 1.445 * [taylor]: Taking taylor expansion of (log n) in k 1.445 * [taylor]: Taking taylor expansion of n in k 1.446 * [taylor]: Taking taylor expansion of 0 in k 1.447 * [taylor]: Taking taylor expansion of 0 in k 1.448 * [taylor]: Taking taylor expansion of 0 in k 1.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.448 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.448 * [taylor]: Taking taylor expansion of 2.0 in n 1.448 * [taylor]: Taking taylor expansion of (* n PI) in n 1.448 * [taylor]: Taking taylor expansion of n in n 1.448 * [taylor]: Taking taylor expansion of PI in n 1.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.448 * [taylor]: Taking taylor expansion of 2.0 in n 1.448 * [taylor]: Taking taylor expansion of (* n PI) in n 1.448 * [taylor]: Taking taylor expansion of n in n 1.448 * [taylor]: Taking taylor expansion of PI in n 1.449 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.449 * [taylor]: Taking taylor expansion of 2.0 in n 1.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.449 * [taylor]: Taking taylor expansion of PI in n 1.449 * [taylor]: Taking taylor expansion of n in n 1.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.449 * [taylor]: Taking taylor expansion of 2.0 in n 1.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.449 * [taylor]: Taking taylor expansion of PI in n 1.449 * [taylor]: Taking taylor expansion of n in n 1.450 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.450 * [taylor]: Taking taylor expansion of -2.0 in n 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.450 * [taylor]: Taking taylor expansion of -2.0 in n 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.451 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.451 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.451 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.451 * [taylor]: Taking taylor expansion of 1.0 in k 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.451 * [taylor]: Taking taylor expansion of k in k 1.451 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.451 * [taylor]: Taking taylor expansion of 1.0 in k 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.451 * [taylor]: Taking taylor expansion of k in k 1.452 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.452 * [taylor]: Taking taylor expansion of 1.0 in k 1.452 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.452 * [taylor]: Taking taylor expansion of k in k 1.453 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.453 * [taylor]: Taking taylor expansion of 1.0 in k 1.453 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.453 * [taylor]: Taking taylor expansion of k in k 1.454 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.454 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.454 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.454 * [taylor]: Taking taylor expansion of -1 in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.454 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.454 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.454 * [taylor]: Taking taylor expansion of -1 in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.458 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.459 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 1.459 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.459 * [taylor]: Taking taylor expansion of 1.0 in n 1.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.459 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.459 * [taylor]: Taking taylor expansion of k in n 1.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.459 * [taylor]: Taking taylor expansion of 0.5 in n 1.459 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.459 * [taylor]: Taking taylor expansion of 1.0 in n 1.459 * [taylor]: Taking taylor expansion of k in n 1.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.459 * [taylor]: Taking taylor expansion of 2.0 in n 1.459 * [taylor]: Taking taylor expansion of (* n PI) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.459 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.459 * [taylor]: Taking taylor expansion of 1.0 in k 1.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.460 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.460 * [taylor]: Taking taylor expansion of 0.5 in k 1.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.460 * [taylor]: Taking taylor expansion of 1.0 in k 1.460 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.460 * [taylor]: Taking taylor expansion of 2.0 in k 1.460 * [taylor]: Taking taylor expansion of (* n PI) in k 1.460 * [taylor]: Taking taylor expansion of n in k 1.460 * [taylor]: Taking taylor expansion of PI in k 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.460 * [taylor]: Taking taylor expansion of 1.0 in k 1.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.460 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.460 * [taylor]: Taking taylor expansion of 0.5 in k 1.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.460 * [taylor]: Taking taylor expansion of 1.0 in k 1.460 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.460 * [taylor]: Taking taylor expansion of 2.0 in k 1.460 * [taylor]: Taking taylor expansion of (* n PI) in k 1.460 * [taylor]: Taking taylor expansion of n in k 1.460 * [taylor]: Taking taylor expansion of PI in k 1.461 * [taylor]: Taking taylor expansion of 0 in n 1.462 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.462 * [taylor]: Taking taylor expansion of NAN in n 1.462 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.462 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.462 * [taylor]: Taking taylor expansion of 0.5 in n 1.462 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.462 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.462 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.462 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of (log PI) in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.462 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.462 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.462 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of (log n) in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.462 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.462 * [taylor]: Taking taylor expansion of 2.0 in n 1.466 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 1.466 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.466 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.466 * [taylor]: Taking taylor expansion of 0.5 in n 1.466 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.466 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.466 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.466 * [taylor]: Taking taylor expansion of 2.0 in n 1.466 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.466 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (log n) in n 1.466 * [taylor]: Taking taylor expansion of n in n 1.466 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.467 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.467 * [taylor]: Taking taylor expansion of 1.0 in n 1.467 * [taylor]: Taking taylor expansion of (log PI) in n 1.467 * [taylor]: Taking taylor expansion of PI in n 1.467 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.467 * [taylor]: Taking taylor expansion of NAN in n 1.467 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.467 * [taylor]: Taking taylor expansion of 0.5 in n 1.467 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.467 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 1.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.468 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.468 * [taylor]: Taking taylor expansion of 2.0 in n 1.468 * [taylor]: Taking taylor expansion of (* n PI) in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of PI in n 1.468 * [taylor]: Taking taylor expansion of NAN in n 1.468 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.468 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.468 * [taylor]: Taking taylor expansion of 0.5 in n 1.468 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.468 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.468 * [taylor]: Taking taylor expansion of 1.0 in n 1.468 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.468 * [taylor]: Taking taylor expansion of 2.0 in n 1.468 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.468 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.468 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.468 * [taylor]: Taking taylor expansion of 1.0 in n 1.468 * [taylor]: Taking taylor expansion of (log n) in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.468 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.468 * [taylor]: Taking taylor expansion of 1.0 in n 1.468 * [taylor]: Taking taylor expansion of (log PI) in n 1.468 * [taylor]: Taking taylor expansion of PI in n 1.479 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.479 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 1.479 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.479 * [taylor]: Taking taylor expansion of 0.125 in n 1.479 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.479 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 1.479 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.479 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.479 * [taylor]: Taking taylor expansion of 2.0 in n 1.479 * [taylor]: Taking taylor expansion of (* n PI) in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.479 * [taylor]: Taking taylor expansion of PI in n 1.479 * [taylor]: Taking taylor expansion of NAN in n 1.479 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.480 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.480 * [taylor]: Taking taylor expansion of 0.5 in n 1.480 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.480 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.480 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.480 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.480 * [taylor]: Taking taylor expansion of 2.0 in n 1.480 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.480 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.480 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of (log n) in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.480 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.480 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of (log PI) in n 1.480 * [taylor]: Taking taylor expansion of PI in n 1.481 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 1.481 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.481 * [taylor]: Taking taylor expansion of 0.5 in n 1.481 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.481 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.481 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.481 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.481 * [taylor]: Taking taylor expansion of 2.0 in n 1.481 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.481 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.481 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [taylor]: Taking taylor expansion of (log n) in n 1.481 * [taylor]: Taking taylor expansion of n in n 1.481 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.482 * [taylor]: Taking taylor expansion of 1.0 in n 1.482 * [taylor]: Taking taylor expansion of (log PI) in n 1.482 * [taylor]: Taking taylor expansion of PI in n 1.482 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.482 * [taylor]: Taking taylor expansion of NAN in n 1.482 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.482 * [taylor]: Taking taylor expansion of 0.5 in n 1.482 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.482 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 1.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.483 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.483 * [taylor]: Taking taylor expansion of 2.0 in n 1.483 * [taylor]: Taking taylor expansion of (* n PI) in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.483 * [taylor]: Taking taylor expansion of PI in n 1.483 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.483 * [taylor]: Taking taylor expansion of NAN in n 1.483 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.483 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.483 * [taylor]: Taking taylor expansion of 0.5 in n 1.483 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.483 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.483 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.483 * [taylor]: Taking taylor expansion of 1.0 in n 1.483 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.483 * [taylor]: Taking taylor expansion of 2.0 in n 1.483 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.483 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.483 * [taylor]: Taking taylor expansion of 1.0 in n 1.483 * [taylor]: Taking taylor expansion of (log n) in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.483 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.483 * [taylor]: Taking taylor expansion of 1.0 in n 1.483 * [taylor]: Taking taylor expansion of (log PI) in n 1.483 * [taylor]: Taking taylor expansion of PI in n 1.501 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 1.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.501 * [taylor]: Taking taylor expansion of 1.0 in n 1.501 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.501 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.501 * [taylor]: Taking taylor expansion of k in n 1.501 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.501 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.501 * [taylor]: Taking taylor expansion of 0.5 in n 1.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.501 * [taylor]: Taking taylor expansion of 1.0 in n 1.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.501 * [taylor]: Taking taylor expansion of k in n 1.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.501 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.501 * [taylor]: Taking taylor expansion of 2.0 in n 1.501 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.501 * [taylor]: Taking taylor expansion of PI in n 1.501 * [taylor]: Taking taylor expansion of n in n 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.502 * [taylor]: Taking taylor expansion of 1.0 in k 1.502 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.502 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.502 * [taylor]: Taking taylor expansion of k in k 1.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.502 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.502 * [taylor]: Taking taylor expansion of 0.5 in k 1.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.502 * [taylor]: Taking taylor expansion of 1.0 in k 1.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.502 * [taylor]: Taking taylor expansion of k in k 1.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.502 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.502 * [taylor]: Taking taylor expansion of 2.0 in k 1.502 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.502 * [taylor]: Taking taylor expansion of PI in k 1.502 * [taylor]: Taking taylor expansion of n in k 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.502 * [taylor]: Taking taylor expansion of 1.0 in k 1.502 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.503 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.503 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.503 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.503 * [taylor]: Taking taylor expansion of 0.5 in k 1.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.503 * [taylor]: Taking taylor expansion of 1.0 in k 1.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.503 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.503 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.503 * [taylor]: Taking taylor expansion of 2.0 in k 1.503 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.503 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of n in k 1.503 * [taylor]: Taking taylor expansion of 0 in n 1.503 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.503 * [taylor]: Taking taylor expansion of 1.0 in n 1.503 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.504 * [taylor]: Taking taylor expansion of NAN in n 1.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.504 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.504 * [taylor]: Taking taylor expansion of 0.5 in n 1.504 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.504 * [taylor]: Taking taylor expansion of 2.0 in n 1.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.504 * [taylor]: Taking taylor expansion of 1.0 in n 1.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.504 * [taylor]: Taking taylor expansion of k in n 1.505 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.505 * [taylor]: Taking taylor expansion of 1.0 in n 1.505 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.505 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.505 * [taylor]: Taking taylor expansion of NAN in n 1.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.505 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.505 * [taylor]: Taking taylor expansion of 0.5 in n 1.505 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.505 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.505 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.505 * [taylor]: Taking taylor expansion of 2.0 in n 1.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.505 * [taylor]: Taking taylor expansion of PI in n 1.505 * [taylor]: Taking taylor expansion of n in n 1.505 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.505 * [taylor]: Taking taylor expansion of 1.0 in n 1.505 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.505 * [taylor]: Taking taylor expansion of k in n 1.508 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.508 * [taylor]: Taking taylor expansion of 1.0 in n 1.508 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.508 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.508 * [taylor]: Taking taylor expansion of NAN in n 1.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.508 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.508 * [taylor]: Taking taylor expansion of 0.5 in n 1.508 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.508 * [taylor]: Taking taylor expansion of 2.0 in n 1.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.508 * [taylor]: Taking taylor expansion of 1.0 in n 1.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.508 * [taylor]: Taking taylor expansion of k in n 1.510 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 1.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.510 * [taylor]: Taking taylor expansion of 1.0 in n 1.510 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.510 * [taylor]: Taking taylor expansion of 0.5 in n 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.510 * [taylor]: Taking taylor expansion of k in n 1.510 * [taylor]: Taking taylor expansion of 1.0 in n 1.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.510 * [taylor]: Taking taylor expansion of -2.0 in n 1.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.510 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.510 * [taylor]: Taking taylor expansion of -1 in n 1.511 * [taylor]: Taking taylor expansion of k in n 1.511 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.511 * [taylor]: Taking taylor expansion of 1.0 in k 1.511 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.511 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.511 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.511 * [taylor]: Taking taylor expansion of 0.5 in k 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.511 * [taylor]: Taking taylor expansion of k in k 1.511 * [taylor]: Taking taylor expansion of 1.0 in k 1.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.511 * [taylor]: Taking taylor expansion of -2.0 in k 1.511 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.511 * [taylor]: Taking taylor expansion of PI in k 1.511 * [taylor]: Taking taylor expansion of n in k 1.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.511 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.511 * [taylor]: Taking taylor expansion of -1 in k 1.511 * [taylor]: Taking taylor expansion of k in k 1.511 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.511 * [taylor]: Taking taylor expansion of 1.0 in k 1.512 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.512 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.512 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.512 * [taylor]: Taking taylor expansion of 0.5 in k 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.512 * [taylor]: Taking taylor expansion of k in k 1.512 * [taylor]: Taking taylor expansion of 1.0 in k 1.512 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.512 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.512 * [taylor]: Taking taylor expansion of -2.0 in k 1.512 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.512 * [taylor]: Taking taylor expansion of PI in k 1.512 * [taylor]: Taking taylor expansion of n in k 1.512 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.512 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.512 * [taylor]: Taking taylor expansion of -1 in k 1.512 * [taylor]: Taking taylor expansion of k in k 1.512 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.512 * [taylor]: Taking taylor expansion of 1.0 in n 1.512 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.512 * [taylor]: Taking taylor expansion of 0.5 in n 1.512 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.512 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.512 * [taylor]: Taking taylor expansion of k in n 1.513 * [taylor]: Taking taylor expansion of 1.0 in n 1.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.513 * [taylor]: Taking taylor expansion of -2.0 in n 1.513 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.513 * [taylor]: Taking taylor expansion of PI in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.513 * [taylor]: Taking taylor expansion of NAN in n 1.514 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 1.514 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.514 * [taylor]: Taking taylor expansion of 1.0 in n 1.514 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.514 * [taylor]: Taking taylor expansion of 0.5 in n 1.514 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.514 * [taylor]: Taking taylor expansion of k in n 1.514 * [taylor]: Taking taylor expansion of 1.0 in n 1.514 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.514 * [taylor]: Taking taylor expansion of -2.0 in n 1.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.514 * [taylor]: Taking taylor expansion of PI in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.514 * [taylor]: Taking taylor expansion of NAN in n 1.516 * [taylor]: Taking taylor expansion of 0 in n 1.519 * [taylor]: Taking taylor expansion of 0 in n 1.519 * * * [progress]: simplifying candidates 1.522 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 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(- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 1.622 * * * [progress]: adding candidates to table 1.896 * * [progress]: iteration 2 / 4 1.896 * * * [progress]: picking best candidate 1.928 * * * * [pick]: Picked # 1.928 * * * [progress]: localizing error 1.947 * * * [progress]: generating rewritten candidates 1.947 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.953 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.963 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.972 * * * [progress]: generating series expansions 1.972 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.972 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.973 * [taylor]: Taking taylor expansion of 0.5 in n 1.973 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.973 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.973 * [taylor]: Taking taylor expansion of 2.0 in n 1.973 * [taylor]: Taking taylor expansion of (* n PI) in n 1.973 * [taylor]: Taking taylor expansion of n in n 1.973 * [taylor]: Taking taylor expansion of PI in n 1.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.973 * [taylor]: Taking taylor expansion of 0.5 in n 1.973 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.973 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.973 * [taylor]: Taking taylor expansion of 2.0 in n 1.973 * [taylor]: Taking taylor expansion of (* n PI) in n 1.973 * [taylor]: Taking taylor expansion of n in n 1.973 * [taylor]: Taking taylor expansion of PI in n 1.981 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.981 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.981 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.981 * [taylor]: Taking taylor expansion of 0.5 in n 1.981 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.981 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.981 * [taylor]: Taking taylor expansion of 2.0 in n 1.981 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.981 * [taylor]: Taking taylor expansion of PI in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.981 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.981 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.981 * [taylor]: Taking taylor expansion of 0.5 in n 1.981 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.981 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.981 * [taylor]: Taking taylor expansion of 2.0 in n 1.981 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.981 * [taylor]: Taking taylor expansion of PI in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.989 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.989 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.989 * [taylor]: Taking taylor expansion of 0.5 in n 1.989 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.989 * [taylor]: Taking taylor expansion of -2.0 in n 1.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.989 * [taylor]: Taking taylor expansion of PI in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.989 * [taylor]: Taking taylor expansion of 0.5 in n 1.989 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.989 * [taylor]: Taking taylor expansion of -2.0 in n 1.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.989 * [taylor]: Taking taylor expansion of PI in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.996 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.997 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.997 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.997 * [taylor]: Taking taylor expansion of 2.0 in n 1.997 * [taylor]: Taking taylor expansion of (* n PI) in n 1.997 * [taylor]: Taking taylor expansion of n in n 1.997 * [taylor]: Taking taylor expansion of PI in n 1.997 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.997 * [taylor]: Taking taylor expansion of 2.0 in n 1.997 * [taylor]: Taking taylor expansion of (* n PI) in n 1.997 * [taylor]: Taking taylor expansion of n in n 1.997 * [taylor]: Taking taylor expansion of PI in n 1.998 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.998 * [taylor]: Taking taylor expansion of 2.0 in n 1.998 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.998 * [taylor]: Taking taylor expansion of PI in n 1.998 * [taylor]: Taking taylor expansion of n in n 1.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.998 * [taylor]: Taking taylor expansion of 2.0 in n 1.998 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.998 * [taylor]: Taking taylor expansion of PI in n 1.998 * [taylor]: Taking taylor expansion of n in n 1.999 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.999 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.999 * [taylor]: Taking taylor expansion of -2.0 in n 1.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.999 * [taylor]: Taking taylor expansion of PI in n 1.999 * [taylor]: Taking taylor expansion of n in n 1.999 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.999 * [taylor]: Taking taylor expansion of -2.0 in n 1.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.999 * [taylor]: Taking taylor expansion of PI in n 1.999 * [taylor]: Taking taylor expansion of n in n 2.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.000 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.000 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.000 * [taylor]: Taking taylor expansion of 2.0 in n 2.000 * [taylor]: Taking taylor expansion of (* n PI) in n 2.000 * [taylor]: Taking taylor expansion of n in n 2.000 * [taylor]: Taking taylor expansion of PI in n 2.000 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.000 * [taylor]: Taking taylor expansion of 2.0 in n 2.000 * [taylor]: Taking taylor expansion of (* n PI) in n 2.000 * [taylor]: Taking taylor expansion of n in n 2.000 * [taylor]: Taking taylor expansion of PI in n 2.001 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.001 * [taylor]: Taking taylor expansion of 2.0 in n 2.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.001 * [taylor]: Taking taylor expansion of PI in n 2.001 * [taylor]: Taking taylor expansion of n in n 2.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.001 * [taylor]: Taking taylor expansion of 2.0 in n 2.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.001 * [taylor]: Taking taylor expansion of PI in n 2.001 * [taylor]: Taking taylor expansion of n in n 2.002 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.002 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.002 * [taylor]: Taking taylor expansion of -2.0 in n 2.002 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.002 * [taylor]: Taking taylor expansion of PI in n 2.002 * [taylor]: Taking taylor expansion of n in n 2.002 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.002 * [taylor]: Taking taylor expansion of -2.0 in n 2.002 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.002 * [taylor]: Taking taylor expansion of PI in n 2.002 * [taylor]: Taking taylor expansion of n in n 2.003 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.003 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 2.003 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.004 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.004 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.004 * [taylor]: Taking taylor expansion of 0.5 in k 2.004 * [taylor]: Taking taylor expansion of k in k 2.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.004 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.004 * [taylor]: Taking taylor expansion of 2.0 in k 2.004 * [taylor]: Taking taylor expansion of (* n PI) in k 2.004 * [taylor]: Taking taylor expansion of n in k 2.004 * [taylor]: Taking taylor expansion of PI in k 2.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.004 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.004 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.004 * [taylor]: Taking taylor expansion of 0.5 in n 2.004 * [taylor]: Taking taylor expansion of k in n 2.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.004 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.004 * [taylor]: Taking taylor expansion of 2.0 in n 2.004 * [taylor]: Taking taylor expansion of (* n PI) in n 2.004 * [taylor]: Taking taylor expansion of n in n 2.004 * [taylor]: Taking taylor expansion of PI in n 2.005 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.005 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.005 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.005 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.005 * [taylor]: Taking taylor expansion of 0.5 in n 2.005 * [taylor]: Taking taylor expansion of k in n 2.005 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.005 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.005 * [taylor]: Taking taylor expansion of 2.0 in n 2.005 * [taylor]: Taking taylor expansion of (* n PI) in n 2.005 * [taylor]: Taking taylor expansion of n in n 2.005 * [taylor]: Taking taylor expansion of PI in n 2.005 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.005 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.005 * [taylor]: Taking taylor expansion of 0.5 in k 2.005 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.005 * [taylor]: Taking taylor expansion of k in k 2.005 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.005 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.005 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.005 * [taylor]: Taking taylor expansion of 2.0 in k 2.005 * [taylor]: Taking taylor expansion of PI in k 2.005 * [taylor]: Taking taylor expansion of (log n) in k 2.005 * [taylor]: Taking taylor expansion of n in k 2.006 * [taylor]: Taking taylor expansion of 0 in k 2.009 * [taylor]: Taking taylor expansion of 0 in k 2.011 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 2.011 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.011 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.011 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.011 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.011 * [taylor]: Taking taylor expansion of 0.5 in k 2.011 * [taylor]: Taking taylor expansion of k in k 2.011 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.011 * [taylor]: Taking taylor expansion of 2.0 in k 2.011 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.011 * [taylor]: Taking taylor expansion of PI in k 2.011 * [taylor]: Taking taylor expansion of n in k 2.011 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.011 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.011 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.011 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.011 * [taylor]: Taking taylor expansion of 0.5 in n 2.011 * [taylor]: Taking taylor expansion of k in n 2.011 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.011 * [taylor]: Taking taylor expansion of 2.0 in n 2.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.011 * [taylor]: Taking taylor expansion of PI in n 2.011 * [taylor]: Taking taylor expansion of n in n 2.012 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.012 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.012 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.012 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.012 * [taylor]: Taking taylor expansion of 0.5 in n 2.012 * [taylor]: Taking taylor expansion of k in n 2.012 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.012 * [taylor]: Taking taylor expansion of 2.0 in n 2.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.012 * [taylor]: Taking taylor expansion of PI in n 2.012 * [taylor]: Taking taylor expansion of n in n 2.012 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.012 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.012 * [taylor]: Taking taylor expansion of 0.5 in k 2.012 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.012 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.012 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.012 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.012 * [taylor]: Taking taylor expansion of 2.0 in k 2.012 * [taylor]: Taking taylor expansion of PI in k 2.012 * [taylor]: Taking taylor expansion of (log n) in k 2.012 * [taylor]: Taking taylor expansion of n in k 2.012 * [taylor]: Taking taylor expansion of k in k 2.013 * [taylor]: Taking taylor expansion of 0 in k 2.014 * [taylor]: Taking taylor expansion of 0 in k 2.015 * [taylor]: Taking taylor expansion of 0 in k 2.015 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 2.015 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.015 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.015 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.015 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.015 * [taylor]: Taking taylor expansion of -0.5 in k 2.015 * [taylor]: Taking taylor expansion of k in k 2.015 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.015 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.015 * [taylor]: Taking taylor expansion of -2.0 in k 2.015 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.015 * [taylor]: Taking taylor expansion of PI in k 2.015 * [taylor]: Taking taylor expansion of n in k 2.015 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.015 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.015 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.015 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.015 * [taylor]: Taking taylor expansion of -0.5 in n 2.015 * [taylor]: Taking taylor expansion of k in n 2.015 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.015 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.015 * [taylor]: Taking taylor expansion of -2.0 in n 2.015 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.015 * [taylor]: Taking taylor expansion of PI in n 2.015 * [taylor]: Taking taylor expansion of n in n 2.016 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.016 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.016 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.016 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.016 * [taylor]: Taking taylor expansion of -0.5 in n 2.016 * [taylor]: Taking taylor expansion of k in n 2.016 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.016 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.016 * [taylor]: Taking taylor expansion of -2.0 in n 2.016 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.016 * [taylor]: Taking taylor expansion of PI in n 2.016 * [taylor]: Taking taylor expansion of n in n 2.016 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.016 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.016 * [taylor]: Taking taylor expansion of -0.5 in k 2.016 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.016 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.016 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.016 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.016 * [taylor]: Taking taylor expansion of -2.0 in k 2.016 * [taylor]: Taking taylor expansion of PI in k 2.016 * [taylor]: Taking taylor expansion of (log n) in k 2.016 * [taylor]: Taking taylor expansion of n in k 2.016 * [taylor]: Taking taylor expansion of k in k 2.017 * [taylor]: Taking taylor expansion of 0 in k 2.018 * [taylor]: Taking taylor expansion of 0 in k 2.019 * [taylor]: Taking taylor expansion of 0 in k 2.019 * * * [progress]: simplifying candidates 2.020 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.026 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 2.034 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 2.066 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 2.070 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.071 * * * [progress]: adding candidates to table 2.231 * * [progress]: iteration 3 / 4 2.231 * * * [progress]: picking best candidate 2.258 * * * * [pick]: Picked # 2.258 * * * [progress]: localizing error 2.280 * * * [progress]: generating rewritten candidates 2.280 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.289 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.302 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 2.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.315 * * * [progress]: generating series expansions 2.315 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.315 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.315 * [taylor]: Taking taylor expansion of 2.0 in n 2.315 * [taylor]: Taking taylor expansion of (* n PI) in n 2.315 * [taylor]: Taking taylor expansion of n in n 2.315 * [taylor]: Taking taylor expansion of PI in n 2.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.315 * [taylor]: Taking taylor expansion of 2.0 in n 2.315 * [taylor]: Taking taylor expansion of (* n PI) in n 2.315 * [taylor]: Taking taylor expansion of n in n 2.315 * [taylor]: Taking taylor expansion of PI in n 2.316 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.316 * [taylor]: Taking taylor expansion of 2.0 in n 2.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.316 * [taylor]: Taking taylor expansion of PI in n 2.316 * [taylor]: Taking taylor expansion of n in n 2.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.316 * [taylor]: Taking taylor expansion of 2.0 in n 2.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.316 * [taylor]: Taking taylor expansion of PI in n 2.316 * [taylor]: Taking taylor expansion of n in n 2.317 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 2.317 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.317 * [taylor]: Taking taylor expansion of 2.0 in n 2.317 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.317 * [taylor]: Taking taylor expansion of PI in n 2.317 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.317 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.317 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.317 * [taylor]: Taking taylor expansion of -1 in n 2.317 * [taylor]: Taking taylor expansion of n in n 2.317 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.317 * [taylor]: Taking taylor expansion of 2.0 in n 2.318 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.318 * [taylor]: Taking taylor expansion of PI in n 2.318 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.318 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.318 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.318 * [taylor]: Taking taylor expansion of -1 in n 2.318 * [taylor]: Taking taylor expansion of n in n 2.320 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.320 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.320 * [taylor]: Taking taylor expansion of 0.5 in n 2.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.320 * [taylor]: Taking taylor expansion of 2.0 in n 2.320 * [taylor]: Taking taylor expansion of (* n PI) in n 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of PI in n 2.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.320 * [taylor]: Taking taylor expansion of 0.5 in n 2.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.320 * [taylor]: Taking taylor expansion of 2.0 in n 2.320 * [taylor]: Taking taylor expansion of (* n PI) in n 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of PI in n 2.327 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.328 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.328 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.328 * [taylor]: Taking taylor expansion of 0.5 in n 2.328 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.328 * [taylor]: Taking taylor expansion of 2.0 in n 2.328 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.328 * [taylor]: Taking taylor expansion of PI in n 2.328 * [taylor]: Taking taylor expansion of n in n 2.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.328 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.328 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.328 * [taylor]: Taking taylor expansion of 0.5 in n 2.328 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.328 * [taylor]: Taking taylor expansion of 2.0 in n 2.328 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.328 * [taylor]: Taking taylor expansion of PI in n 2.328 * [taylor]: Taking taylor expansion of n in n 2.335 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in (n) around 0 2.335 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 2.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.335 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.335 * [taylor]: Taking taylor expansion of 0.5 in n 2.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.335 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.335 * [taylor]: Taking taylor expansion of 2.0 in n 2.335 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.335 * [taylor]: Taking taylor expansion of PI in n 2.335 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.335 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.335 * [taylor]: Taking taylor expansion of -1 in n 2.335 * [taylor]: Taking taylor expansion of n in n 2.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 2.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.336 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.336 * [taylor]: Taking taylor expansion of 0.5 in n 2.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.336 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.336 * [taylor]: Taking taylor expansion of 2.0 in n 2.336 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.336 * [taylor]: Taking taylor expansion of PI in n 2.336 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.336 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.336 * [taylor]: Taking taylor expansion of -1 in n 2.336 * [taylor]: Taking taylor expansion of n in n 2.341 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 2.341 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 2.341 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.341 * [taylor]: Taking taylor expansion of 2.0 in n 2.341 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.341 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.341 * [taylor]: Taking taylor expansion of n in n 2.341 * [taylor]: Taking taylor expansion of PI in n 2.341 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.341 * [taylor]: Taking taylor expansion of 2.0 in n 2.341 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.341 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.341 * [taylor]: Taking taylor expansion of n in n 2.341 * [taylor]: Taking taylor expansion of PI in n 2.343 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 2.343 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.343 * [taylor]: Taking taylor expansion of 2.0 in n 2.343 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.343 * [taylor]: Taking taylor expansion of n in n 2.343 * [taylor]: Taking taylor expansion of PI in n 2.343 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.343 * [taylor]: Taking taylor expansion of 2.0 in n 2.343 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.343 * [taylor]: Taking taylor expansion of n in n 2.343 * [taylor]: Taking taylor expansion of PI in n 2.345 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 2.345 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.345 * [taylor]: Taking taylor expansion of 2.0 in n 2.345 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.345 * [taylor]: Taking taylor expansion of PI in n 2.345 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.345 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.345 * [taylor]: Taking taylor expansion of -1 in n 2.345 * [taylor]: Taking taylor expansion of n in n 2.345 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.345 * [taylor]: Taking taylor expansion of 2.0 in n 2.345 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.345 * [taylor]: Taking taylor expansion of PI in n 2.345 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.345 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.345 * [taylor]: Taking taylor expansion of -1 in n 2.345 * [taylor]: Taking taylor expansion of n in n 2.346 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.346 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.346 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.346 * [taylor]: Taking taylor expansion of 2.0 in n 2.347 * [taylor]: Taking taylor expansion of (* n PI) in n 2.347 * [taylor]: Taking taylor expansion of n in n 2.347 * [taylor]: Taking taylor expansion of PI in n 2.347 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.347 * [taylor]: Taking taylor expansion of 2.0 in n 2.347 * [taylor]: Taking taylor expansion of (* n PI) in n 2.347 * [taylor]: Taking taylor expansion of n in n 2.347 * [taylor]: Taking taylor expansion of PI in n 2.348 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.348 * [taylor]: Taking taylor expansion of 2.0 in n 2.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.348 * [taylor]: Taking taylor expansion of PI in n 2.348 * [taylor]: Taking taylor expansion of n in n 2.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.348 * [taylor]: Taking taylor expansion of 2.0 in n 2.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.348 * [taylor]: Taking taylor expansion of PI in n 2.348 * [taylor]: Taking taylor expansion of n in n 2.349 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.349 * [taylor]: Taking taylor expansion of -2.0 in n 2.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.349 * [taylor]: Taking taylor expansion of -2.0 in n 2.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.350 * * * [progress]: simplifying candidates 2.351 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1.0) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (- (+ (* 2.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (pow (* 2.0 (* (pow NAN 2) PI)) 0.5)) (+ (* 4.0 (* (pow (/ (pow PI 1.0) (pow 2.0 3.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (pow NAN 3) n))))) (+ (* 2.0 (* (pow NAN 3) (* (pow n 2) PI))) (+ (* 2.0 (* NAN (* n PI))) (* 2.0 (* (pow NAN 5) (* (pow n 3) PI))))) (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (+ (* 2.0 (/ (* (pow NAN 3) PI) n)) (* 2.0 (* NAN PI)))) (- (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (* 2.0 (* NAN PI))) (* 2.0 (/ (* (pow NAN 3) PI) n))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.357 * * [simplify]: iteration 0 : 592 enodes (cost 627 ) 2.369 * * [simplify]: iteration 1 : 2811 enodes (cost 518 ) 2.420 * * [simplify]: iteration 2 : 5002 enodes (cost 514 ) 2.424 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ 1.0 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt 1.0) (cbrt 1.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt 1.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (- (+ (* 2.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (pow (* 2.0 (* (pow NAN 2) PI)) 0.5)) (+ (* 4.0 (* (pow (/ (pow PI 1.0) (pow 2.0 3.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (pow NAN 3) n))))) (* 2.0 (+ (* (pow NAN 3) (* (pow n 2) PI)) (+ (* NAN (* n PI)) (* (pow NAN 5) (* (pow n 3) PI))))) (* 2.0 (+ (/ (* (pow NAN 5) PI) (pow n 2)) (+ (/ (* (pow NAN 3) PI) n) (* NAN PI)))) (* 2.0 (- (+ (/ (* (pow NAN 5) PI) (pow n 2)) (* NAN PI)) (/ (* (pow NAN 3) PI) n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.425 * * * [progress]: adding candidates to table 2.569 * * [progress]: iteration 4 / 4 2.569 * * * [progress]: picking best candidate 2.593 * * * * [pick]: Picked # 2.593 * * * [progress]: localizing error 2.614 * * * [progress]: generating rewritten candidates 2.614 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.620 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.625 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.629 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.636 * * * [progress]: generating series expansions 2.636 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.636 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.636 * [taylor]: Taking taylor expansion of 0.5 in n 2.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.637 * [taylor]: Taking taylor expansion of 2.0 in n 2.637 * [taylor]: Taking taylor expansion of (* n PI) in n 2.637 * [taylor]: Taking taylor expansion of n in n 2.637 * [taylor]: Taking taylor expansion of PI in n 2.637 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.637 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.637 * [taylor]: Taking taylor expansion of 0.5 in n 2.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.637 * [taylor]: Taking taylor expansion of 2.0 in n 2.637 * [taylor]: Taking taylor expansion of (* n PI) in n 2.637 * [taylor]: Taking taylor expansion of n in n 2.637 * [taylor]: Taking taylor expansion of PI in n 2.644 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.644 * [taylor]: Taking taylor expansion of 0.5 in n 2.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.645 * [taylor]: Taking taylor expansion of 2.0 in n 2.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.645 * [taylor]: Taking taylor expansion of PI in n 2.645 * [taylor]: Taking taylor expansion of n in n 2.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.645 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.645 * [taylor]: Taking taylor expansion of 0.5 in n 2.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.645 * [taylor]: Taking taylor expansion of 2.0 in n 2.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.645 * [taylor]: Taking taylor expansion of PI in n 2.645 * [taylor]: Taking taylor expansion of n in n 2.652 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.652 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.652 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.652 * [taylor]: Taking taylor expansion of 0.5 in n 2.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.652 * [taylor]: Taking taylor expansion of -2.0 in n 2.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.652 * [taylor]: Taking taylor expansion of PI in n 2.652 * [taylor]: Taking taylor expansion of n in n 2.653 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.653 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.653 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.653 * [taylor]: Taking taylor expansion of 0.5 in n 2.653 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.653 * [taylor]: Taking taylor expansion of -2.0 in n 2.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.653 * [taylor]: Taking taylor expansion of PI in n 2.653 * [taylor]: Taking taylor expansion of n in n 2.660 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.660 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.660 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.660 * [taylor]: Taking taylor expansion of 2.0 in n 2.660 * [taylor]: Taking taylor expansion of (* n PI) in n 2.660 * [taylor]: Taking taylor expansion of n in n 2.660 * [taylor]: Taking taylor expansion of PI in n 2.660 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.660 * [taylor]: Taking taylor expansion of 2.0 in n 2.660 * [taylor]: Taking taylor expansion of (* n PI) in n 2.660 * [taylor]: Taking taylor expansion of n in n 2.660 * [taylor]: Taking taylor expansion of PI in n 2.661 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.661 * [taylor]: Taking taylor expansion of 2.0 in n 2.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.661 * [taylor]: Taking taylor expansion of PI in n 2.661 * [taylor]: Taking taylor expansion of n in n 2.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.661 * [taylor]: Taking taylor expansion of 2.0 in n 2.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.661 * [taylor]: Taking taylor expansion of PI in n 2.661 * [taylor]: Taking taylor expansion of n in n 2.662 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.662 * [taylor]: Taking taylor expansion of -2.0 in n 2.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.662 * [taylor]: Taking taylor expansion of PI in n 2.662 * [taylor]: Taking taylor expansion of n in n 2.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.662 * [taylor]: Taking taylor expansion of -2.0 in n 2.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.662 * [taylor]: Taking taylor expansion of PI in n 2.662 * [taylor]: Taking taylor expansion of n in n 2.663 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.663 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.663 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.663 * [taylor]: Taking taylor expansion of 2.0 in n 2.663 * [taylor]: Taking taylor expansion of (* n PI) in n 2.663 * [taylor]: Taking taylor expansion of n in n 2.663 * [taylor]: Taking taylor expansion of PI in n 2.663 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.663 * [taylor]: Taking taylor expansion of 2.0 in n 2.663 * [taylor]: Taking taylor expansion of (* n PI) in n 2.663 * [taylor]: Taking taylor expansion of n in n 2.663 * [taylor]: Taking taylor expansion of PI in n 2.664 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.664 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.664 * [taylor]: Taking taylor expansion of 2.0 in n 2.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.664 * [taylor]: Taking taylor expansion of PI in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.664 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.664 * [taylor]: Taking taylor expansion of 2.0 in n 2.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.664 * [taylor]: Taking taylor expansion of PI in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.665 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.665 * [taylor]: Taking taylor expansion of -2.0 in n 2.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.665 * [taylor]: Taking taylor expansion of PI in n 2.665 * [taylor]: Taking taylor expansion of n in n 2.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.665 * [taylor]: Taking taylor expansion of -2.0 in n 2.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.665 * [taylor]: Taking taylor expansion of PI in n 2.665 * [taylor]: Taking taylor expansion of n in n 2.666 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.666 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.666 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.666 * [taylor]: Taking taylor expansion of 1.0 in k 2.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.666 * [taylor]: Taking taylor expansion of k in k 2.666 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.666 * [taylor]: Taking taylor expansion of 1.0 in k 2.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.666 * [taylor]: Taking taylor expansion of k in k 2.667 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.667 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.667 * [taylor]: Taking taylor expansion of 1.0 in k 2.667 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.667 * [taylor]: Taking taylor expansion of k in k 2.667 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.667 * [taylor]: Taking taylor expansion of 1.0 in k 2.667 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.667 * [taylor]: Taking taylor expansion of k in k 2.669 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.669 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.669 * [taylor]: Taking taylor expansion of 1.0 in k 2.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.669 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.669 * [taylor]: Taking taylor expansion of -1 in k 2.669 * [taylor]: Taking taylor expansion of k in k 2.669 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.669 * [taylor]: Taking taylor expansion of 1.0 in k 2.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.669 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.669 * [taylor]: Taking taylor expansion of -1 in k 2.669 * [taylor]: Taking taylor expansion of k in k 2.674 * * * [progress]: simplifying candidates 2.675 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) 2.681 * * [simplify]: iteration 0 : 438 enodes (cost 558 ) 2.689 * * [simplify]: iteration 1 : 1703 enodes (cost 505 ) 2.720 * * [simplify]: iteration 2 : 5001 enodes (cost 495 ) 2.724 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) 2.725 * * * [progress]: adding candidates to table 2.889 * [progress]: [Phase 3 of 3] Extracting. 2.889 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.891 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 2.891 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 2.956 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 3.018 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 3.078 * * * [regime]: Found split indices: #