35.772 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.401 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.403 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.403 * * * * [points]: Setting MPFR precision to 64 0.404 * * * * [points]: Setting MPFR precision to 320 0.405 * * * * [points]: Setting MPFR precision to 576 0.405 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.406 * * * * [points]: Setting MPFR precision to 320 0.406 * * * * [points]: Setting MPFR precision to 576 0.408 * * * * [points]: Setting MPFR precision to 832 0.409 * * * * [points]: Setting MPFR precision to 1088 0.410 * * * * [points]: Setting MPFR precision to 1344 0.412 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.412 * * * * [points]: Setting MPFR precision to 1088 0.414 * * * * [points]: Setting MPFR precision to 1344 0.417 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.418 * * * * [points]: Setting MPFR precision to 1088 0.421 * * * * [points]: Setting MPFR precision to 1344 0.426 * * * * [points]: Computing exacts for 256 points 0.426 * * * * [points]: Setting MPFR precision to 1088 0.437 * * * * [points]: Setting MPFR precision to 1344 0.449 * * * * [points]: Filtering points with unrepresentable outputs 0.449 * * * * [points]: Sampling 107 additional inputs, on iter 1 have 149 / 256 0.450 * * * * [points]: Computing exacts on every 6 of 107 points to ramp up precision 0.450 * * * * [points]: Setting MPFR precision to 1088 0.451 * * * * [points]: Setting MPFR precision to 1344 0.452 * * * * [points]: Computing exacts on every 3 of 107 points to ramp up precision 0.452 * * * * [points]: Setting MPFR precision to 1088 0.453 * * * * [points]: Setting MPFR precision to 1344 0.455 * * * * [points]: Computing exacts for 107 points 0.455 * * * * [points]: Setting MPFR precision to 1088 0.460 * * * * [points]: Setting MPFR precision to 1344 0.466 * * * * [points]: Filtering points with unrepresentable outputs 0.466 * * * * [points]: Sampling 35 additional inputs, on iter 2 have 221 / 256 0.466 * * * * [points]: Computing exacts on every 2 of 35 points to ramp up precision 0.466 * * * * [points]: Setting MPFR precision to 1088 0.467 * * * * [points]: Setting MPFR precision to 1344 0.467 * * * * [points]: Computing exacts for 35 points 0.467 * * * * [points]: Setting MPFR precision to 1088 0.469 * * * * [points]: Setting MPFR precision to 1344 0.470 * * * * [points]: Filtering points with unrepresentable outputs 0.471 * * * * [points]: Sampling 21 additional inputs, on iter 3 have 235 / 256 0.471 * * * * [points]: Computing exacts for 21 points 0.471 * * * * [points]: Setting MPFR precision to 1088 0.472 * * * * [points]: Setting MPFR precision to 1344 0.473 * * * * [points]: Filtering points with unrepresentable outputs 0.473 * * * * [points]: Sampling 7 additional inputs, on iter 4 have 249 / 256 0.473 * * * * [points]: Computing exacts for 7 points 0.473 * * * * [points]: Setting MPFR precision to 1088 0.474 * * * * [points]: Setting MPFR precision to 1344 0.474 * * * * [points]: Filtering points with unrepresentable outputs 0.474 * * * * [points]: Sampling 4 additional inputs, on iter 5 have 254 / 256 0.474 * * * * [points]: Computing exacts for 4 points 0.474 * * * * [points]: Setting MPFR precision to 1088 0.475 * * * * [points]: Setting MPFR precision to 1344 0.475 * * * * [points]: Filtering points with unrepresentable outputs 0.475 * * * * [points]: Sampling 4 additional inputs, on iter 6 have 254 / 256 0.475 * * * * [points]: Computing exacts for 4 points 0.475 * * * * [points]: Setting MPFR precision to 1088 0.475 * * * * [points]: Setting MPFR precision to 1344 0.475 * * * * [points]: Filtering points with unrepresentable outputs 0.475 * * * * [points]: Sampled 256 points with exact outputs 0.499 * * * [progress]: [2/2] Setting up program. 0.503 * [progress]: [Phase 2 of 3] Improving. 0.503 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.549 * * [simplify]: iteration 0 : 4987 enodes (cost 16 ) 0.549 * * [simplify]: iteration 1 : 4987 enodes (cost 16 ) 0.550 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.554 * * [progress]: iteration 1 / 4 0.554 * * * [progress]: picking best candidate 0.560 * * * * [pick]: Picked # 0.560 * * * [progress]: localizing error 0.580 * * * [progress]: generating rewritten candidates 0.580 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.590 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2) 0.593 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.605 * * * [progress]: generating series expansions 0.605 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.605 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.605 * [taylor]: Taking taylor expansion of 0.5 in k 0.605 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.605 * [taylor]: Taking taylor expansion of 1.0 in k 0.605 * [taylor]: Taking taylor expansion of k in k 0.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.605 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.605 * [taylor]: Taking taylor expansion of 2.0 in k 0.605 * [taylor]: Taking taylor expansion of (* n PI) in k 0.605 * [taylor]: Taking taylor expansion of n in k 0.605 * [taylor]: Taking taylor expansion of PI in k 0.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.605 * [taylor]: Taking taylor expansion of 0.5 in n 0.605 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of k in n 0.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (* n PI) in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of PI in n 0.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.606 * [taylor]: Taking taylor expansion of 0.5 in n 0.606 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (* n PI) in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of PI in n 0.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.607 * [taylor]: Taking taylor expansion of 0.5 in k 0.607 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.607 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.607 * [taylor]: Taking taylor expansion of 1.0 in k 0.607 * [taylor]: Taking taylor expansion of k in k 0.607 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.607 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.607 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.607 * [taylor]: Taking taylor expansion of 2.0 in k 0.607 * [taylor]: Taking taylor expansion of PI in k 0.607 * [taylor]: Taking taylor expansion of (log n) in k 0.607 * [taylor]: Taking taylor expansion of n in k 0.608 * [taylor]: Taking taylor expansion of 0 in k 0.609 * [taylor]: Taking taylor expansion of 0 in k 0.611 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.611 * [taylor]: Taking taylor expansion of 0.5 in k 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.611 * [taylor]: Taking taylor expansion of 1.0 in k 0.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.611 * [taylor]: Taking taylor expansion of k in k 0.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.611 * [taylor]: Taking taylor expansion of 2.0 in k 0.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.611 * [taylor]: Taking taylor expansion of PI in k 0.611 * [taylor]: Taking taylor expansion of n in k 0.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.613 * [taylor]: Taking taylor expansion of 0.5 in n 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.613 * [taylor]: Taking taylor expansion of 1.0 in n 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.613 * [taylor]: Taking taylor expansion of k in n 0.613 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.613 * [taylor]: Taking taylor expansion of 2.0 in n 0.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.613 * [taylor]: Taking taylor expansion of PI in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.613 * [taylor]: Taking taylor expansion of 0.5 in k 0.613 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.613 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.613 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.613 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.613 * [taylor]: Taking taylor expansion of 2.0 in k 0.613 * [taylor]: Taking taylor expansion of PI in k 0.613 * [taylor]: Taking taylor expansion of (log n) in k 0.613 * [taylor]: Taking taylor expansion of n in k 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.613 * [taylor]: Taking taylor expansion of 1.0 in k 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of 0 in k 0.615 * [taylor]: Taking taylor expansion of 0 in k 0.616 * [taylor]: Taking taylor expansion of 0 in k 0.617 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.617 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.617 * [taylor]: Taking taylor expansion of 0.5 in k 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.617 * [taylor]: Taking taylor expansion of k in k 0.617 * [taylor]: Taking taylor expansion of 1.0 in k 0.617 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.617 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.617 * [taylor]: Taking taylor expansion of -2.0 in k 0.617 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.617 * [taylor]: Taking taylor expansion of PI in k 0.617 * [taylor]: Taking taylor expansion of n in k 0.617 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.617 * [taylor]: Taking taylor expansion of 0.5 in n 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.617 * [taylor]: Taking taylor expansion of k in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.617 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.617 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.617 * [taylor]: Taking taylor expansion of -2.0 in n 0.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.617 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.618 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.618 * [taylor]: Taking taylor expansion of 0.5 in n 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.618 * [taylor]: Taking taylor expansion of k in n 0.618 * [taylor]: Taking taylor expansion of 1.0 in n 0.618 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.618 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.618 * [taylor]: Taking taylor expansion of -2.0 in n 0.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.618 * [taylor]: Taking taylor expansion of PI in n 0.618 * [taylor]: Taking taylor expansion of n in n 0.618 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.618 * [taylor]: Taking taylor expansion of 0.5 in k 0.618 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.619 * [taylor]: Taking taylor expansion of k in k 0.619 * [taylor]: Taking taylor expansion of 1.0 in k 0.619 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.619 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.619 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.619 * [taylor]: Taking taylor expansion of -2.0 in k 0.619 * [taylor]: Taking taylor expansion of PI in k 0.619 * [taylor]: Taking taylor expansion of (log n) in k 0.619 * [taylor]: Taking taylor expansion of n in k 0.620 * [taylor]: Taking taylor expansion of 0 in k 0.620 * [taylor]: Taking taylor expansion of 0 in k 0.621 * [taylor]: Taking taylor expansion of 0 in k 0.622 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2) 0.622 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.622 * [taylor]: Taking taylor expansion of (* n PI) in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [taylor]: Taking taylor expansion of (* n PI) in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.623 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.623 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.623 * [taylor]: Taking taylor expansion of -1 in n 0.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.623 * [taylor]: Taking taylor expansion of -1 in n 0.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.624 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.624 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.624 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.624 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.624 * [taylor]: Taking taylor expansion of 0.5 in k 0.624 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.624 * [taylor]: Taking taylor expansion of 1.0 in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.624 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.624 * [taylor]: Taking taylor expansion of 2.0 in k 0.624 * [taylor]: Taking taylor expansion of (* n PI) in k 0.624 * [taylor]: Taking taylor expansion of n in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.625 * [taylor]: Taking taylor expansion of k in k 0.625 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.625 * [taylor]: Taking taylor expansion of 0.5 in n 0.625 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of k in n 0.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.625 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.625 * [taylor]: Taking taylor expansion of 2.0 in n 0.625 * [taylor]: Taking taylor expansion of (* n PI) in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.625 * [taylor]: Taking taylor expansion of PI in n 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.625 * [taylor]: Taking taylor expansion of k in n 0.625 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.626 * [taylor]: Taking taylor expansion of 0.5 in n 0.626 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.626 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.626 * [taylor]: Taking taylor expansion of 2.0 in n 0.626 * [taylor]: Taking taylor expansion of (* n PI) in n 0.626 * [taylor]: Taking taylor expansion of n in n 0.626 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.629 * [taylor]: Taking taylor expansion of k in n 0.629 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.629 * [taylor]: Taking taylor expansion of k in k 0.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.630 * [taylor]: Taking taylor expansion of 0.5 in k 0.630 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.630 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.630 * [taylor]: Taking taylor expansion of 1.0 in k 0.630 * [taylor]: Taking taylor expansion of k in k 0.630 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.630 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.630 * [taylor]: Taking taylor expansion of 2.0 in k 0.630 * [taylor]: Taking taylor expansion of PI in k 0.630 * [taylor]: Taking taylor expansion of (log n) in k 0.630 * [taylor]: Taking taylor expansion of n in k 0.631 * [taylor]: Taking taylor expansion of 0 in k 0.632 * [taylor]: Taking taylor expansion of 0 in k 0.636 * [taylor]: Taking taylor expansion of 0 in k 0.642 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.642 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.642 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.643 * [taylor]: Taking taylor expansion of 0.5 in k 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.643 * [taylor]: Taking taylor expansion of 1.0 in k 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.643 * [taylor]: Taking taylor expansion of 2.0 in k 0.643 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.643 * [taylor]: Taking taylor expansion of PI in k 0.643 * [taylor]: Taking taylor expansion of n in k 0.643 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.643 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.643 * [taylor]: Taking taylor expansion of k in n 0.643 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.643 * [taylor]: Taking taylor expansion of 0.5 in n 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.643 * [taylor]: Taking taylor expansion of 1.0 in n 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.643 * [taylor]: Taking taylor expansion of k in n 0.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.643 * [taylor]: Taking taylor expansion of 2.0 in n 0.643 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.643 * [taylor]: Taking taylor expansion of PI in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.644 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.644 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.644 * [taylor]: Taking taylor expansion of k in n 0.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.644 * [taylor]: Taking taylor expansion of 0.5 in n 0.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.644 * [taylor]: Taking taylor expansion of 1.0 in n 0.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.644 * [taylor]: Taking taylor expansion of k in n 0.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.644 * [taylor]: Taking taylor expansion of 2.0 in n 0.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.644 * [taylor]: Taking taylor expansion of PI in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.645 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.645 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.645 * [taylor]: Taking taylor expansion of k in k 0.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.645 * [taylor]: Taking taylor expansion of 0.5 in k 0.645 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.645 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.645 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.645 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.645 * [taylor]: Taking taylor expansion of 2.0 in k 0.645 * [taylor]: Taking taylor expansion of PI in k 0.645 * [taylor]: Taking taylor expansion of (log n) in k 0.645 * [taylor]: Taking taylor expansion of n in k 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.645 * [taylor]: Taking taylor expansion of 1.0 in k 0.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.645 * [taylor]: Taking taylor expansion of k in k 0.646 * [taylor]: Taking taylor expansion of 0 in k 0.647 * [taylor]: Taking taylor expansion of 0 in k 0.649 * [taylor]: Taking taylor expansion of 0 in k 0.651 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.651 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.651 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.651 * [taylor]: Taking taylor expansion of 0.5 in k 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.651 * [taylor]: Taking taylor expansion of k in k 0.651 * [taylor]: Taking taylor expansion of 1.0 in k 0.651 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.651 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.651 * [taylor]: Taking taylor expansion of -2.0 in k 0.651 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.651 * [taylor]: Taking taylor expansion of PI in k 0.651 * [taylor]: Taking taylor expansion of n in k 0.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.651 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.651 * [taylor]: Taking taylor expansion of -1 in k 0.651 * [taylor]: Taking taylor expansion of k in k 0.651 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.651 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.651 * [taylor]: Taking taylor expansion of 0.5 in n 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.652 * [taylor]: Taking taylor expansion of -2.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.652 * [taylor]: Taking taylor expansion of PI in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.652 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.652 * [taylor]: Taking taylor expansion of -1 in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.652 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.652 * [taylor]: Taking taylor expansion of 0.5 in n 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.653 * [taylor]: Taking taylor expansion of -2.0 in n 0.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.653 * [taylor]: Taking taylor expansion of PI in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.653 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.653 * [taylor]: Taking taylor expansion of -1 in n 0.653 * [taylor]: Taking taylor expansion of k in n 0.653 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.653 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.653 * [taylor]: Taking taylor expansion of 0.5 in k 0.653 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.653 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.653 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.653 * [taylor]: Taking taylor expansion of -2.0 in k 0.653 * [taylor]: Taking taylor expansion of PI in k 0.654 * [taylor]: Taking taylor expansion of (log n) in k 0.654 * [taylor]: Taking taylor expansion of n in k 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.654 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.654 * [taylor]: Taking taylor expansion of -1 in k 0.654 * [taylor]: Taking taylor expansion of k in k 0.655 * [taylor]: Taking taylor expansion of 0 in k 0.656 * [taylor]: Taking taylor expansion of 0 in k 0.658 * [taylor]: Taking taylor expansion of 0 in k 0.659 * * * [progress]: simplifying candidates 0.661 * [simplify]: Simplifying using # : (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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 (/ (- 1.0 k) 2.0)) (pow (* PI 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)) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (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))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) 1) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (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)))) (+ (/ (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)) 0.701 * * [simplify]: iteration 0 : 5008 enodes (cost 2183 ) 0.708 * [simplify]: Simplified to: (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (sqrt k)) (+ (* 0.125 (* (* k k) (* (pow (* 2.0 (* PI n)) 0.5) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2))))) (- (+ (pow (* 2.0 (* PI n)) 0.5) (* (* k k) (* (* (log n) (* (log (* 2.0 PI)) (pow (* 2.0 (* PI n)) 0.5))) 0.25))) (* 0.5 (* k (* (pow (* 2.0 (* PI n)) 0.5) (log (* 2.0 (* PI n)))))))) (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (* 2.0 (* PI n)) 0.5) (* NAN (pow (log n) 2)))))) (+ (* k (* (pow (* 2.0 (* PI n)) 0.5) (pow NAN 3))) (- (+ (* (pow (* 2.0 (* PI n)) 0.5) (+ (* k (* k (pow NAN 5))) NAN)) (* (* k k) (+ (* (* (log (* 2.0 PI)) (* (log n) (* (pow (* 2.0 (* PI n)) 0.5) NAN))) 0.25) (* (* (pow (log (* 2.0 PI)) 2) (* (pow (* 2.0 (* PI n)) 0.5) NAN)) 0.125)))) (+ (* 0.5 (* k (* NAN (* (pow (* 2.0 (* PI n)) 0.5) (log (* 2.0 (* PI n))))))) (* (* (* (* k k) 0.5) (* (pow (* 2.0 (* PI n)) 0.5) (pow NAN 3))) (log (* 2.0 (* PI n)))))))) (+ (* (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) k) NAN) (* (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (* k k)) (+ (pow NAN 3) (/ (pow NAN 5) k)))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) 0.709 * * * [progress]: adding candidates to table 0.910 * * [progress]: iteration 2 / 4 0.910 * * * [progress]: picking best candidate 0.954 * * * * [pick]: Picked # 0.954 * * * [progress]: localizing error 0.989 * * * [progress]: generating rewritten candidates 0.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2) 0.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 0.996 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.011 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.039 * * * [progress]: generating series expansions 1.039 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2) 1.039 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.039 * [taylor]: Taking taylor expansion of (* n PI) in n 1.039 * [taylor]: Taking taylor expansion of n in n 1.039 * [taylor]: Taking taylor expansion of PI in n 1.039 * [taylor]: Taking taylor expansion of (* n PI) in n 1.039 * [taylor]: Taking taylor expansion of n in n 1.040 * [taylor]: Taking taylor expansion of PI in n 1.040 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.040 * [taylor]: Taking taylor expansion of PI in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.040 * [taylor]: Taking taylor expansion of PI in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.041 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.041 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.041 * [taylor]: Taking taylor expansion of -1 in n 1.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.041 * [taylor]: Taking taylor expansion of PI in n 1.041 * [taylor]: Taking taylor expansion of n in n 1.041 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.041 * [taylor]: Taking taylor expansion of -1 in n 1.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.041 * [taylor]: Taking taylor expansion of PI in n 1.041 * [taylor]: Taking taylor expansion of n in n 1.042 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 1.042 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.042 * [taylor]: Taking taylor expansion of (* n PI) in n 1.042 * [taylor]: Taking taylor expansion of n in n 1.042 * [taylor]: Taking taylor expansion of PI in n 1.042 * [taylor]: Taking taylor expansion of (* n PI) in n 1.042 * [taylor]: Taking taylor expansion of n in n 1.042 * [taylor]: Taking taylor expansion of PI in n 1.042 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.042 * [taylor]: Taking taylor expansion of PI in n 1.042 * [taylor]: Taking taylor expansion of n in n 1.043 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.043 * [taylor]: Taking taylor expansion of PI in n 1.043 * [taylor]: Taking taylor expansion of n in n 1.043 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.043 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.043 * [taylor]: Taking taylor expansion of -1 in n 1.043 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.043 * [taylor]: Taking taylor expansion of PI in n 1.043 * [taylor]: Taking taylor expansion of n in n 1.043 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.043 * [taylor]: Taking taylor expansion of -1 in n 1.043 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.043 * [taylor]: Taking taylor expansion of PI in n 1.043 * [taylor]: Taking taylor expansion of n in n 1.044 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.044 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 1.044 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.044 * [taylor]: Taking taylor expansion of k in k 1.045 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.045 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.045 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.045 * [taylor]: Taking taylor expansion of 0.5 in k 1.045 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.045 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.045 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.045 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.045 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.045 * [taylor]: Taking taylor expansion of 1.0 in k 1.045 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.045 * [taylor]: Taking taylor expansion of 2.0 in k 1.045 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.045 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.045 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.045 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.045 * [taylor]: Taking taylor expansion of 1.0 in k 1.045 * [taylor]: Taking taylor expansion of (log n) in k 1.045 * [taylor]: Taking taylor expansion of n in k 1.045 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.045 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.045 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.045 * [taylor]: Taking taylor expansion of 1.0 in k 1.045 * [taylor]: Taking taylor expansion of (log PI) in k 1.045 * [taylor]: Taking taylor expansion of PI in k 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.046 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.046 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.046 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.046 * [taylor]: Taking taylor expansion of 0.5 in k 1.046 * [taylor]: Taking taylor expansion of k in k 1.046 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.046 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.046 * [taylor]: Taking taylor expansion of 2.0 in k 1.046 * [taylor]: Taking taylor expansion of (* n PI) in k 1.046 * [taylor]: Taking taylor expansion of n in k 1.046 * [taylor]: Taking taylor expansion of PI in k 1.047 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.047 * [taylor]: Taking taylor expansion of k in n 1.047 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.047 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.047 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.047 * [taylor]: Taking taylor expansion of 0.5 in n 1.047 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.047 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.047 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.047 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.047 * [taylor]: Taking taylor expansion of 1.0 in n 1.047 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.047 * [taylor]: Taking taylor expansion of 2.0 in n 1.047 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.047 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.047 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.047 * [taylor]: Taking taylor expansion of 1.0 in n 1.047 * [taylor]: Taking taylor expansion of (log n) in n 1.047 * [taylor]: Taking taylor expansion of n in n 1.047 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.047 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.047 * [taylor]: Taking taylor expansion of 1.0 in n 1.047 * [taylor]: Taking taylor expansion of (log PI) in n 1.047 * [taylor]: Taking taylor expansion of PI in n 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.048 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.048 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.048 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.048 * [taylor]: Taking taylor expansion of 0.5 in n 1.048 * [taylor]: Taking taylor expansion of k in n 1.048 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.048 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.048 * [taylor]: Taking taylor expansion of 2.0 in n 1.048 * [taylor]: Taking taylor expansion of (* n PI) in n 1.049 * [taylor]: Taking taylor expansion of n in n 1.049 * [taylor]: Taking taylor expansion of PI in n 1.049 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.049 * [taylor]: Taking taylor expansion of k in n 1.049 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.049 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.049 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.049 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.049 * [taylor]: Taking taylor expansion of 0.5 in n 1.049 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.049 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.049 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.049 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.049 * [taylor]: Taking taylor expansion of 1.0 in n 1.049 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.049 * [taylor]: Taking taylor expansion of 2.0 in n 1.049 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.049 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.049 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.049 * [taylor]: Taking taylor expansion of 1.0 in n 1.049 * [taylor]: Taking taylor expansion of (log n) in n 1.050 * [taylor]: Taking taylor expansion of n in n 1.050 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.050 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.050 * [taylor]: Taking taylor expansion of 1.0 in n 1.050 * [taylor]: Taking taylor expansion of (log PI) in n 1.050 * [taylor]: Taking taylor expansion of PI in n 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.051 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.051 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.051 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.051 * [taylor]: Taking taylor expansion of 0.5 in n 1.051 * [taylor]: Taking taylor expansion of k in n 1.051 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.051 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.051 * [taylor]: Taking taylor expansion of 2.0 in n 1.051 * [taylor]: Taking taylor expansion of (* n PI) in n 1.051 * [taylor]: Taking taylor expansion of n in n 1.051 * [taylor]: Taking taylor expansion of PI in n 1.052 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.052 * [taylor]: Taking taylor expansion of k in k 1.052 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.052 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.052 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.052 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.052 * [taylor]: Taking taylor expansion of 0.5 in k 1.052 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.052 * [taylor]: Taking taylor expansion of k in k 1.052 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.052 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.052 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.052 * [taylor]: Taking taylor expansion of 2.0 in k 1.052 * [taylor]: Taking taylor expansion of PI in k 1.052 * [taylor]: Taking taylor expansion of (log n) in k 1.052 * [taylor]: Taking taylor expansion of n in k 1.053 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.053 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.053 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.053 * [taylor]: Taking taylor expansion of 0.5 in k 1.053 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.053 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.053 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.053 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.053 * [taylor]: Taking taylor expansion of 1.0 in k 1.053 * [taylor]: Taking taylor expansion of (log PI) in k 1.053 * [taylor]: Taking taylor expansion of PI in k 1.053 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.053 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.053 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.053 * [taylor]: Taking taylor expansion of 1.0 in k 1.053 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.053 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.053 * [taylor]: Taking taylor expansion of 1.0 in k 1.053 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.053 * [taylor]: Taking taylor expansion of (log 1) in k 1.053 * [taylor]: Taking taylor expansion of 1 in k 1.053 * [taylor]: Taking taylor expansion of (log n) in k 1.053 * [taylor]: Taking taylor expansion of n in k 1.054 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.054 * [taylor]: Taking taylor expansion of 1.0 in k 1.054 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.054 * [taylor]: Taking taylor expansion of 2.0 in k 1.058 * [taylor]: Taking taylor expansion of 0 in k 1.065 * [taylor]: Taking taylor expansion of 0 in k 1.078 * [taylor]: Taking taylor expansion of 0 in k 1.098 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in (n k) around 0 1.098 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in k 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.098 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.098 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.098 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.098 * [taylor]: Taking taylor expansion of 0.5 in k 1.098 * [taylor]: Taking taylor expansion of k in k 1.098 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.098 * [taylor]: Taking taylor expansion of 2.0 in k 1.098 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.098 * [taylor]: Taking taylor expansion of PI in k 1.098 * [taylor]: Taking taylor expansion of n in k 1.098 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in k 1.098 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.098 * [taylor]: Taking taylor expansion of 0.5 in k 1.098 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.098 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.098 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.098 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.098 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.098 * [taylor]: Taking taylor expansion of 1.0 in k 1.098 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.098 * [taylor]: Taking taylor expansion of 2.0 in k 1.099 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.099 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.099 * [taylor]: Taking taylor expansion of 1.0 in k 1.099 * [taylor]: Taking taylor expansion of (log PI) in k 1.099 * [taylor]: Taking taylor expansion of PI in k 1.099 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.099 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.099 * [taylor]: Taking taylor expansion of 1.0 in k 1.099 * [taylor]: Taking taylor expansion of (log n) in k 1.099 * [taylor]: Taking taylor expansion of n in k 1.100 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.100 * [taylor]: Taking taylor expansion of k in k 1.100 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.100 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.100 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.100 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.100 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.100 * [taylor]: Taking taylor expansion of 0.5 in n 1.100 * [taylor]: Taking taylor expansion of k in n 1.100 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.100 * [taylor]: Taking taylor expansion of 2.0 in n 1.100 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.100 * [taylor]: Taking taylor expansion of PI in n 1.100 * [taylor]: Taking taylor expansion of n in n 1.100 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 1.100 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.100 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.100 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.100 * [taylor]: Taking taylor expansion of 0.5 in n 1.100 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.100 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.100 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.100 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.101 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.101 * [taylor]: Taking taylor expansion of 1.0 in n 1.101 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.101 * [taylor]: Taking taylor expansion of 2.0 in n 1.101 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.101 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.101 * [taylor]: Taking taylor expansion of 1.0 in n 1.101 * [taylor]: Taking taylor expansion of (log PI) in n 1.101 * [taylor]: Taking taylor expansion of PI in n 1.101 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.101 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.101 * [taylor]: Taking taylor expansion of 1.0 in n 1.101 * [taylor]: Taking taylor expansion of (log n) in n 1.101 * [taylor]: Taking taylor expansion of n in n 1.102 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.102 * [taylor]: Taking taylor expansion of k in n 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.102 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.102 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.102 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.102 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.102 * [taylor]: Taking taylor expansion of 0.5 in n 1.102 * [taylor]: Taking taylor expansion of k in n 1.102 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.102 * [taylor]: Taking taylor expansion of 2.0 in n 1.102 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.102 * [taylor]: Taking taylor expansion of PI in n 1.102 * [taylor]: Taking taylor expansion of n in n 1.102 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 1.103 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.103 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.103 * [taylor]: Taking taylor expansion of 0.5 in n 1.103 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.103 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.103 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.103 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.103 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.103 * [taylor]: Taking taylor expansion of 1.0 in n 1.103 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.103 * [taylor]: Taking taylor expansion of 2.0 in n 1.103 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.103 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.103 * [taylor]: Taking taylor expansion of 1.0 in n 1.103 * [taylor]: Taking taylor expansion of (log PI) in n 1.103 * [taylor]: Taking taylor expansion of PI in n 1.103 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.103 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.103 * [taylor]: Taking taylor expansion of 1.0 in n 1.103 * [taylor]: Taking taylor expansion of (log n) in n 1.103 * [taylor]: Taking taylor expansion of n in n 1.104 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.104 * [taylor]: Taking taylor expansion of k in n 1.105 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.105 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.105 * [taylor]: Taking taylor expansion of k in k 1.105 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.105 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.105 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.105 * [taylor]: Taking taylor expansion of 0.5 in k 1.105 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.105 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.105 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.105 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.105 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.105 * [taylor]: Taking taylor expansion of 1.0 in k 1.105 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.105 * [taylor]: Taking taylor expansion of 2.0 in k 1.105 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.105 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.105 * [taylor]: Taking taylor expansion of 1.0 in k 1.105 * [taylor]: Taking taylor expansion of (log PI) in k 1.105 * [taylor]: Taking taylor expansion of PI in k 1.105 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.105 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.105 * [taylor]: Taking taylor expansion of 1.0 in k 1.105 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.105 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.105 * [taylor]: Taking taylor expansion of 1.0 in k 1.105 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.106 * [taylor]: Taking taylor expansion of (log 1) in k 1.106 * [taylor]: Taking taylor expansion of 1 in k 1.106 * [taylor]: Taking taylor expansion of (log n) in k 1.106 * [taylor]: Taking taylor expansion of n in k 1.107 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.107 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.107 * [taylor]: Taking taylor expansion of 0.5 in k 1.107 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.107 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.107 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.107 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.107 * [taylor]: Taking taylor expansion of 2.0 in k 1.107 * [taylor]: Taking taylor expansion of PI in k 1.107 * [taylor]: Taking taylor expansion of (log n) in k 1.107 * [taylor]: Taking taylor expansion of n in k 1.107 * [taylor]: Taking taylor expansion of k in k 1.111 * [taylor]: Taking taylor expansion of 0 in k 1.118 * [taylor]: Taking taylor expansion of 0 in k 1.130 * [taylor]: Taking taylor expansion of 0 in k 1.138 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 1.138 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.138 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.138 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.138 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.138 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.138 * [taylor]: Taking taylor expansion of -1 in k 1.138 * [taylor]: Taking taylor expansion of k in k 1.138 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.138 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.138 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.138 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.138 * [taylor]: Taking taylor expansion of -0.5 in k 1.138 * [taylor]: Taking taylor expansion of k in k 1.138 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.138 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.138 * [taylor]: Taking taylor expansion of -2.0 in k 1.139 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.139 * [taylor]: Taking taylor expansion of PI in k 1.139 * [taylor]: Taking taylor expansion of n in k 1.139 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.139 * [taylor]: Taking taylor expansion of 0.5 in k 1.139 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.139 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.139 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.139 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.139 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.139 * [taylor]: Taking taylor expansion of 1.0 in k 1.139 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.139 * [taylor]: Taking taylor expansion of -2.0 in k 1.139 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.139 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.139 * [taylor]: Taking taylor expansion of 1.0 in k 1.139 * [taylor]: Taking taylor expansion of (log PI) in k 1.139 * [taylor]: Taking taylor expansion of PI in k 1.139 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.139 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.139 * [taylor]: Taking taylor expansion of 1.0 in k 1.139 * [taylor]: Taking taylor expansion of (log n) in k 1.140 * [taylor]: Taking taylor expansion of n in k 1.140 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.140 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.140 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.140 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.140 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.140 * [taylor]: Taking taylor expansion of -1 in n 1.141 * [taylor]: Taking taylor expansion of k in n 1.141 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.141 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.141 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.141 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.141 * [taylor]: Taking taylor expansion of -0.5 in n 1.141 * [taylor]: Taking taylor expansion of k in n 1.141 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.141 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.141 * [taylor]: Taking taylor expansion of -2.0 in n 1.141 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.141 * [taylor]: Taking taylor expansion of PI in n 1.141 * [taylor]: Taking taylor expansion of n in n 1.141 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.141 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.141 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.141 * [taylor]: Taking taylor expansion of 0.5 in n 1.141 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.141 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.141 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.141 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.141 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.141 * [taylor]: Taking taylor expansion of 1.0 in n 1.142 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.142 * [taylor]: Taking taylor expansion of -2.0 in n 1.142 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.142 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.142 * [taylor]: Taking taylor expansion of 1.0 in n 1.142 * [taylor]: Taking taylor expansion of (log PI) in n 1.142 * [taylor]: Taking taylor expansion of PI in n 1.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.142 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.142 * [taylor]: Taking taylor expansion of 1.0 in n 1.142 * [taylor]: Taking taylor expansion of (log n) in n 1.142 * [taylor]: Taking taylor expansion of n in n 1.143 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.143 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.143 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.143 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.143 * [taylor]: Taking taylor expansion of -1 in n 1.143 * [taylor]: Taking taylor expansion of k in n 1.143 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.143 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.143 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.143 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.143 * [taylor]: Taking taylor expansion of -0.5 in n 1.143 * [taylor]: Taking taylor expansion of k in n 1.143 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.143 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.143 * [taylor]: Taking taylor expansion of -2.0 in n 1.143 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.143 * [taylor]: Taking taylor expansion of PI in n 1.143 * [taylor]: Taking taylor expansion of n in n 1.144 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.144 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.144 * [taylor]: Taking taylor expansion of 0.5 in n 1.144 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.144 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.144 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.144 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.144 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.144 * [taylor]: Taking taylor expansion of 1.0 in n 1.144 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.144 * [taylor]: Taking taylor expansion of -2.0 in n 1.144 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.144 * [taylor]: Taking taylor expansion of 1.0 in n 1.144 * [taylor]: Taking taylor expansion of (log PI) in n 1.144 * [taylor]: Taking taylor expansion of PI in n 1.144 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.144 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.144 * [taylor]: Taking taylor expansion of 1.0 in n 1.144 * [taylor]: Taking taylor expansion of (log n) in n 1.144 * [taylor]: Taking taylor expansion of n in n 1.146 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.146 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.146 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.146 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.146 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.146 * [taylor]: Taking taylor expansion of -0.5 in k 1.146 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.146 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.146 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.146 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.146 * [taylor]: Taking taylor expansion of -2.0 in k 1.146 * [taylor]: Taking taylor expansion of PI in k 1.146 * [taylor]: Taking taylor expansion of (log n) in k 1.146 * [taylor]: Taking taylor expansion of n in k 1.146 * [taylor]: Taking taylor expansion of k in k 1.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.146 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.146 * [taylor]: Taking taylor expansion of -1 in k 1.146 * [taylor]: Taking taylor expansion of k in k 1.146 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.147 * [taylor]: Taking taylor expansion of 0.5 in k 1.147 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.147 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.147 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.147 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.147 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.147 * [taylor]: Taking taylor expansion of 1.0 in k 1.147 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.147 * [taylor]: Taking taylor expansion of -2.0 in k 1.147 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.147 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.147 * [taylor]: Taking taylor expansion of 1.0 in k 1.147 * [taylor]: Taking taylor expansion of (log PI) in k 1.147 * [taylor]: Taking taylor expansion of PI in k 1.147 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.147 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.147 * [taylor]: Taking taylor expansion of 1.0 in k 1.147 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.147 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.147 * [taylor]: Taking taylor expansion of 1.0 in k 1.147 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.147 * [taylor]: Taking taylor expansion of (log 1) in k 1.147 * [taylor]: Taking taylor expansion of 1 in k 1.147 * [taylor]: Taking taylor expansion of (log n) in k 1.147 * [taylor]: Taking taylor expansion of n in k 1.152 * [taylor]: Taking taylor expansion of 0 in k 1.159 * [taylor]: Taking taylor expansion of 0 in k 1.169 * [taylor]: Taking taylor expansion of 0 in k 1.170 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.170 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.170 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.170 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.170 * [taylor]: Taking taylor expansion of 0.5 in n 1.170 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.170 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.170 * [taylor]: Taking taylor expansion of 2.0 in n 1.170 * [taylor]: Taking taylor expansion of (* n PI) in n 1.170 * [taylor]: Taking taylor expansion of n in n 1.170 * [taylor]: Taking taylor expansion of PI in n 1.171 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.171 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.171 * [taylor]: Taking taylor expansion of 0.5 in n 1.171 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.171 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.171 * [taylor]: Taking taylor expansion of 2.0 in n 1.171 * [taylor]: Taking taylor expansion of (* n PI) in n 1.171 * [taylor]: Taking taylor expansion of n in n 1.171 * [taylor]: Taking taylor expansion of PI in n 1.178 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.178 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.178 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.178 * [taylor]: Taking taylor expansion of 0.5 in n 1.178 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.178 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.178 * [taylor]: Taking taylor expansion of 2.0 in n 1.178 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.178 * [taylor]: Taking taylor expansion of PI in n 1.178 * [taylor]: Taking taylor expansion of n in n 1.179 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.179 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.179 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.179 * [taylor]: Taking taylor expansion of 0.5 in n 1.179 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.179 * [taylor]: Taking taylor expansion of 2.0 in n 1.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.179 * [taylor]: Taking taylor expansion of PI in n 1.179 * [taylor]: Taking taylor expansion of n in n 1.186 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.186 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.186 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.186 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.186 * [taylor]: Taking taylor expansion of 0.5 in n 1.186 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.186 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.186 * [taylor]: Taking taylor expansion of -2.0 in n 1.186 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.186 * [taylor]: Taking taylor expansion of PI in n 1.186 * [taylor]: Taking taylor expansion of n in n 1.187 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.187 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.187 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.187 * [taylor]: Taking taylor expansion of 0.5 in n 1.187 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.187 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.187 * [taylor]: Taking taylor expansion of -2.0 in n 1.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.187 * [taylor]: Taking taylor expansion of PI in n 1.187 * [taylor]: Taking taylor expansion of n in n 1.194 * * * [progress]: simplifying candidates 1.201 * [simplify]: Simplifying using # : (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (- (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0)))) (log (sqrt k))) (- (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (log (* 2.0 (* PI n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (log (pow (* 2.0 (* PI n)) (/ k 2.0)))) (log (sqrt k))) (- (log (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (log (sqrt k))) (log (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (exp (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (/ (/ (* (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (cbrt (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k)))) (cbrt (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (* (* (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k)) (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (sqrt (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (sqrt (/ (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt k))) (neg (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (neg (sqrt k)) (/ (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (sqrt k))) (/ (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (cbrt k))) (/ (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (sqrt 1)) (/ (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt k)) (/ (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))))) 1) (/ (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt k)) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (sqrt k))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (cbrt k))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt 1)) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt k)) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) 1) (/ (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (sqrt k)) (/ (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (cbrt (sqrt k))) (/ (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (sqrt (cbrt k))) (/ (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (sqrt 1)) (/ (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (sqrt k)) (/ (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) 1) (/ (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (sqrt k)) (/ (/ (pow 2.0 (/ 1.0 2.0)) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI n) (/ 1.0 2.0)) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) 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2.0)))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* 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 (/ 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 (/ 1.0 2.0)) (pow (* PI 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)) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* (* (pow k 2) (pow NAN 5)) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) (+ (* (* 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)) (+ (* (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))))))))))) (+ (* 0.5 (* (* k (* NAN (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 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)))) (+ (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)) (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (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))))) 1.281 * * [simplify]: iteration 0 : 4988 enodes (cost 10397 ) 1.283 * * [simplify]: iteration 1 : 4988 enodes (cost 10397 ) 1.309 * [simplify]: Simplified to: (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 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2.0))) (pow (* PI (* 2.0 n)) (sqrt 1.0)) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (exp (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (log (* PI 2.0)) 2) (* NAN (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log n) (log (* PI 2.0))) NAN)) 0.25)) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN))) (+ (* 0.5 (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* PI 2.0)) NAN)) (* (log n) (* k (* k (pow NAN 3))))))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* k (* k (* (log (* PI 2.0)) (pow NAN 3))))))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (* PI (* 2.0 n)) (* k 0.5)))) (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5)) (* (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5) (+ (/ NAN (* k (pow (* PI (* 2.0 n)) (* k 0.5)))) (/ (pow NAN 3) (* k (* k (pow (* PI (* 2.0 n)) (* k 0.5)))))))) (* (pow (* (/ (pow -2.0 1.0) (pow (* (pow 1 1.0) (pow (/ -1 n) 1.0)) 1.0)) (pow PI 1.0)) 0.5) (+ (/ NAN (* k (pow (pow (exp 0.5) (- (log (* PI -2.0)) (log (/ -1 n)))) k))) (/ (exp (neg (* k (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n))))))) NAN))) (pow (* PI (* 2.0 n)) 0.5) (pow (* PI (* 2.0 n)) 0.5) (pow (exp 0.5) (- (log (* PI -2.0)) (log (/ -1 n)))) 1.312 * * * [progress]: adding candidates to table 2.239 * * [progress]: iteration 3 / 4 2.239 * * * [progress]: picking best candidate 2.268 * * * * [pick]: Picked # 2.269 * * * [progress]: localizing error 2.312 * * * [progress]: generating rewritten candidates 2.312 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1) 2.330 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 2.333 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.355 * * * [progress]: generating series expansions 2.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.356 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 2.356 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.356 * [taylor]: Taking taylor expansion of k in k 2.356 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.356 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.356 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.356 * [taylor]: Taking taylor expansion of 0.5 in k 2.356 * [taylor]: Taking taylor expansion of k in k 2.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.356 * [taylor]: Taking taylor expansion of 2.0 in k 2.356 * [taylor]: Taking taylor expansion of (* n PI) in k 2.356 * [taylor]: Taking taylor expansion of n in k 2.356 * [taylor]: Taking taylor expansion of PI in k 2.357 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.357 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.357 * [taylor]: Taking taylor expansion of 0.5 in k 2.357 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.357 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.357 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.357 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.357 * [taylor]: Taking taylor expansion of 1.0 in k 2.357 * [taylor]: Taking taylor expansion of (log PI) in k 2.357 * [taylor]: Taking taylor expansion of PI in k 2.357 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.357 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.357 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.357 * [taylor]: Taking taylor expansion of 1.0 in k 2.357 * [taylor]: Taking taylor expansion of (log n) in k 2.357 * [taylor]: Taking taylor expansion of n in k 2.357 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.357 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.358 * [taylor]: Taking taylor expansion of 1.0 in k 2.358 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.358 * [taylor]: Taking taylor expansion of 2.0 in k 2.358 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.358 * [taylor]: Taking taylor expansion of k in n 2.359 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.359 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.359 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.359 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.359 * [taylor]: Taking taylor expansion of 0.5 in n 2.359 * [taylor]: Taking taylor expansion of k in n 2.359 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.359 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.359 * [taylor]: Taking taylor expansion of 2.0 in n 2.359 * [taylor]: Taking taylor expansion of (* n PI) in n 2.359 * [taylor]: Taking taylor expansion of n in n 2.359 * [taylor]: Taking taylor expansion of PI in n 2.359 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.359 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.359 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.359 * [taylor]: Taking taylor expansion of 0.5 in n 2.359 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.359 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.359 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.359 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.359 * [taylor]: Taking taylor expansion of 1.0 in n 2.359 * [taylor]: Taking taylor expansion of (log PI) in n 2.359 * [taylor]: Taking taylor expansion of PI in n 2.359 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.359 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.360 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.360 * [taylor]: Taking taylor expansion of 1.0 in n 2.360 * [taylor]: Taking taylor expansion of (log n) in n 2.360 * [taylor]: Taking taylor expansion of n in n 2.360 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.360 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.360 * [taylor]: Taking taylor expansion of 1.0 in n 2.360 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.360 * [taylor]: Taking taylor expansion of 2.0 in n 2.361 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.361 * [taylor]: Taking taylor expansion of k in n 2.361 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.361 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.361 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.361 * [taylor]: Taking taylor expansion of 0.5 in n 2.361 * [taylor]: Taking taylor expansion of k in n 2.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.361 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.361 * [taylor]: Taking taylor expansion of 2.0 in n 2.361 * [taylor]: Taking taylor expansion of (* n PI) in n 2.361 * [taylor]: Taking taylor expansion of n in n 2.361 * [taylor]: Taking taylor expansion of PI in n 2.361 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.361 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.362 * [taylor]: Taking taylor expansion of 0.5 in n 2.362 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.362 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.362 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.362 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.362 * [taylor]: Taking taylor expansion of 1.0 in n 2.362 * [taylor]: Taking taylor expansion of (log PI) in n 2.362 * [taylor]: Taking taylor expansion of PI in n 2.362 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.362 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.362 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.362 * [taylor]: Taking taylor expansion of 1.0 in n 2.362 * [taylor]: Taking taylor expansion of (log n) in n 2.362 * [taylor]: Taking taylor expansion of n in n 2.362 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.362 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.362 * [taylor]: Taking taylor expansion of 1.0 in n 2.362 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.362 * [taylor]: Taking taylor expansion of 2.0 in n 2.364 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 2.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.364 * [taylor]: Taking taylor expansion of k in k 2.364 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 2.364 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.364 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.364 * [taylor]: Taking taylor expansion of 0.5 in k 2.364 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.364 * [taylor]: Taking taylor expansion of k in k 2.364 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.364 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.364 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.364 * [taylor]: Taking taylor expansion of 2.0 in k 2.364 * [taylor]: Taking taylor expansion of PI in k 2.364 * [taylor]: Taking taylor expansion of (log n) in k 2.364 * [taylor]: Taking taylor expansion of n in k 2.364 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 2.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 2.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 2.365 * [taylor]: Taking taylor expansion of 0.5 in k 2.365 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 2.365 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 2.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of (log PI) in k 2.365 * [taylor]: Taking taylor expansion of PI in k 2.365 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.365 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.365 * [taylor]: Taking taylor expansion of (log 1) in k 2.365 * [taylor]: Taking taylor expansion of 1 in k 2.365 * [taylor]: Taking taylor expansion of (log n) in k 2.365 * [taylor]: Taking taylor expansion of n in k 2.365 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.366 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.366 * [taylor]: Taking taylor expansion of 2.0 in k 2.369 * [taylor]: Taking taylor expansion of 0 in k 2.377 * [taylor]: Taking taylor expansion of 0 in k 2.390 * [taylor]: Taking taylor expansion of 0 in k 2.410 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 2.410 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.410 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.410 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.410 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.410 * [taylor]: Taking taylor expansion of 0.5 in k 2.410 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.410 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.410 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.410 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.410 * [taylor]: Taking taylor expansion of 1.0 in k 2.410 * [taylor]: Taking taylor expansion of (log PI) in k 2.410 * [taylor]: Taking taylor expansion of PI in k 2.410 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.410 * [taylor]: Taking taylor expansion of 1.0 in k 2.410 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.410 * [taylor]: Taking taylor expansion of 2.0 in k 2.411 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.411 * [taylor]: Taking taylor expansion of 1.0 in k 2.411 * [taylor]: Taking taylor expansion of (log n) in k 2.411 * [taylor]: Taking taylor expansion of n in k 2.412 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.412 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.412 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.412 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.412 * [taylor]: Taking taylor expansion of 0.5 in k 2.412 * [taylor]: Taking taylor expansion of k in k 2.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.412 * [taylor]: Taking taylor expansion of 2.0 in k 2.412 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.412 * [taylor]: Taking taylor expansion of PI in k 2.412 * [taylor]: Taking taylor expansion of n in k 2.412 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.412 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.412 * [taylor]: Taking taylor expansion of k in n 2.412 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.412 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.412 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.412 * [taylor]: Taking taylor expansion of 0.5 in n 2.412 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.412 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.412 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.412 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.412 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (log PI) in n 2.413 * [taylor]: Taking taylor expansion of PI in n 2.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.413 * [taylor]: Taking taylor expansion of 2.0 in n 2.413 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (log n) in n 2.413 * [taylor]: Taking taylor expansion of n in n 2.414 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.414 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.414 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.414 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.414 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.414 * [taylor]: Taking taylor expansion of 0.5 in n 2.414 * [taylor]: Taking taylor expansion of k in n 2.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.414 * [taylor]: Taking taylor expansion of 2.0 in n 2.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.414 * [taylor]: Taking taylor expansion of PI in n 2.414 * [taylor]: Taking taylor expansion of n in n 2.414 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.414 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.414 * [taylor]: Taking taylor expansion of k in n 2.415 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.415 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.415 * [taylor]: Taking taylor expansion of 0.5 in n 2.415 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.415 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.415 * [taylor]: Taking taylor expansion of 1.0 in n 2.415 * [taylor]: Taking taylor expansion of (log PI) in n 2.415 * [taylor]: Taking taylor expansion of PI in n 2.415 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.415 * [taylor]: Taking taylor expansion of 1.0 in n 2.415 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.415 * [taylor]: Taking taylor expansion of 2.0 in n 2.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.415 * [taylor]: Taking taylor expansion of 1.0 in n 2.415 * [taylor]: Taking taylor expansion of (log n) in n 2.415 * [taylor]: Taking taylor expansion of n in n 2.416 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.416 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.416 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.416 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.416 * [taylor]: Taking taylor expansion of 0.5 in n 2.416 * [taylor]: Taking taylor expansion of k in n 2.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.416 * [taylor]: Taking taylor expansion of 2.0 in n 2.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.416 * [taylor]: Taking taylor expansion of PI in n 2.416 * [taylor]: Taking taylor expansion of n in n 2.417 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.417 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.417 * [taylor]: Taking taylor expansion of k in k 2.417 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.417 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.417 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.418 * [taylor]: Taking taylor expansion of 0.5 in k 2.418 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.418 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.418 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.418 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.418 * [taylor]: Taking taylor expansion of 2.0 in k 2.418 * [taylor]: Taking taylor expansion of PI in k 2.418 * [taylor]: Taking taylor expansion of (log n) in k 2.418 * [taylor]: Taking taylor expansion of n in k 2.418 * [taylor]: Taking taylor expansion of k in k 2.418 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.418 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.418 * [taylor]: Taking taylor expansion of 0.5 in k 2.418 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.418 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.418 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.418 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.418 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.418 * [taylor]: Taking taylor expansion of 1.0 in k 2.418 * [taylor]: Taking taylor expansion of (log PI) in k 2.418 * [taylor]: Taking taylor expansion of PI in k 2.418 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.418 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.418 * [taylor]: Taking taylor expansion of 1.0 in k 2.418 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.418 * [taylor]: Taking taylor expansion of 2.0 in k 2.419 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.419 * [taylor]: Taking taylor expansion of (log 1) in k 2.419 * [taylor]: Taking taylor expansion of 1 in k 2.419 * [taylor]: Taking taylor expansion of (log n) in k 2.419 * [taylor]: Taking taylor expansion of n in k 2.427 * [taylor]: Taking taylor expansion of 0 in k 2.434 * [taylor]: Taking taylor expansion of 0 in k 2.444 * [taylor]: Taking taylor expansion of 0 in k 2.453 * [approximate]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in (n k) around 0 2.453 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 2.453 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in k 2.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in k 2.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in k 2.453 * [taylor]: Taking taylor expansion of 0.5 in k 2.453 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in k 2.453 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in k 2.453 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 2.453 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 2.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 2.453 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 2.453 * [taylor]: Taking taylor expansion of 1.0 in k 2.453 * [taylor]: Taking taylor expansion of (log -1) in k 2.453 * [taylor]: Taking taylor expansion of -1 in k 2.453 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.453 * [taylor]: Taking taylor expansion of 1.0 in k 2.453 * [taylor]: Taking taylor expansion of (log PI) in k 2.453 * [taylor]: Taking taylor expansion of PI in k 2.453 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.453 * [taylor]: Taking taylor expansion of 1.0 in k 2.453 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.453 * [taylor]: Taking taylor expansion of 2.0 in k 2.453 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.454 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.454 * [taylor]: Taking taylor expansion of 1.0 in k 2.454 * [taylor]: Taking taylor expansion of (log n) in k 2.454 * [taylor]: Taking taylor expansion of n in k 2.455 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.455 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.455 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.455 * [taylor]: Taking taylor expansion of -1 in k 2.455 * [taylor]: Taking taylor expansion of k in k 2.455 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.455 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.455 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.455 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.455 * [taylor]: Taking taylor expansion of -0.5 in k 2.455 * [taylor]: Taking taylor expansion of k in k 2.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.455 * [taylor]: Taking taylor expansion of -2.0 in k 2.455 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.455 * [taylor]: Taking taylor expansion of PI in k 2.455 * [taylor]: Taking taylor expansion of n in k 2.455 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.456 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 2.456 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 2.456 * [taylor]: Taking taylor expansion of 0.5 in n 2.456 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 2.456 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 2.456 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 2.456 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 2.456 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [taylor]: Taking taylor expansion of (log -1) in n 2.456 * [taylor]: Taking taylor expansion of -1 in n 2.456 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [taylor]: Taking taylor expansion of (log PI) in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.456 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.456 * [taylor]: Taking taylor expansion of 2.0 in n 2.456 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.456 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [taylor]: Taking taylor expansion of (log n) in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.458 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.458 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.458 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.458 * [taylor]: Taking taylor expansion of -1 in n 2.458 * [taylor]: Taking taylor expansion of k in n 2.458 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.458 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.458 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.458 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.458 * [taylor]: Taking taylor expansion of -0.5 in n 2.458 * [taylor]: Taking taylor expansion of k in n 2.458 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.458 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.458 * [taylor]: Taking taylor expansion of -2.0 in n 2.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.458 * [taylor]: Taking taylor expansion of PI in n 2.458 * [taylor]: Taking taylor expansion of n in n 2.458 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.458 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 2.459 * [taylor]: Taking taylor expansion of 0.5 in n 2.459 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 2.459 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 2.459 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 2.459 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 2.459 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 2.459 * [taylor]: Taking taylor expansion of 1.0 in n 2.459 * [taylor]: Taking taylor expansion of (log -1) in n 2.459 * [taylor]: Taking taylor expansion of -1 in n 2.459 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.459 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.459 * [taylor]: Taking taylor expansion of 1.0 in n 2.459 * [taylor]: Taking taylor expansion of (log PI) in n 2.459 * [taylor]: Taking taylor expansion of PI in n 2.459 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.459 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.459 * [taylor]: Taking taylor expansion of 1.0 in n 2.459 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.459 * [taylor]: Taking taylor expansion of 2.0 in n 2.459 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.459 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.459 * [taylor]: Taking taylor expansion of 1.0 in n 2.459 * [taylor]: Taking taylor expansion of (log n) in n 2.459 * [taylor]: Taking taylor expansion of n in n 2.460 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.461 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.461 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.461 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.461 * [taylor]: Taking taylor expansion of -1 in n 2.461 * [taylor]: Taking taylor expansion of k in n 2.461 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.461 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.461 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.461 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.461 * [taylor]: Taking taylor expansion of -0.5 in n 2.461 * [taylor]: Taking taylor expansion of k in n 2.461 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.461 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.461 * [taylor]: Taking taylor expansion of -2.0 in n 2.461 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.461 * [taylor]: Taking taylor expansion of PI in n 2.461 * [taylor]: Taking taylor expansion of n in n 2.462 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)))))) in k 2.462 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.462 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.462 * [taylor]: Taking taylor expansion of 0.5 in k 2.462 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.462 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.462 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in k 2.462 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.462 * [taylor]: Taking taylor expansion of (log -1) in k 2.462 * [taylor]: Taking taylor expansion of -1 in k 2.462 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.462 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.462 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.462 * [taylor]: Taking taylor expansion of 2.0 in k 2.462 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of (log PI) in k 2.463 * [taylor]: Taking taylor expansion of PI in k 2.463 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.463 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.463 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.463 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.463 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.463 * [taylor]: Taking taylor expansion of (log 1) in k 2.463 * [taylor]: Taking taylor expansion of 1 in k 2.463 * [taylor]: Taking taylor expansion of (log n) in k 2.463 * [taylor]: Taking taylor expansion of n in k 2.464 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))))) in k 2.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)))) in k 2.464 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.464 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.464 * [taylor]: Taking taylor expansion of -1 in k 2.464 * [taylor]: Taking taylor expansion of k in k 2.464 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.464 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.465 * [taylor]: Taking taylor expansion of -0.5 in k 2.465 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.465 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.465 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.465 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.465 * [taylor]: Taking taylor expansion of -2.0 in k 2.465 * [taylor]: Taking taylor expansion of PI in k 2.465 * [taylor]: Taking taylor expansion of (log n) in k 2.465 * [taylor]: Taking taylor expansion of n in k 2.465 * [taylor]: Taking taylor expansion of k in k 2.469 * [taylor]: Taking taylor expansion of 0 in k 2.478 * [taylor]: Taking taylor expansion of 0 in k 2.490 * [taylor]: Taking taylor expansion of 0 in k 2.491 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1) 2.491 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.491 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.491 * [taylor]: Taking taylor expansion of 2.0 in n 2.491 * [taylor]: Taking taylor expansion of (* n PI) in n 2.491 * [taylor]: Taking taylor expansion of n in n 2.491 * [taylor]: Taking taylor expansion of PI in n 2.491 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.491 * [taylor]: Taking taylor expansion of 2.0 in n 2.491 * [taylor]: Taking taylor expansion of (* n PI) in n 2.491 * [taylor]: Taking taylor expansion of n in n 2.491 * [taylor]: Taking taylor expansion of PI in n 2.492 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.492 * [taylor]: Taking taylor expansion of 2.0 in n 2.492 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.492 * [taylor]: Taking taylor expansion of PI in n 2.492 * [taylor]: Taking taylor expansion of n in n 2.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.492 * [taylor]: Taking taylor expansion of 2.0 in n 2.492 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.492 * [taylor]: Taking taylor expansion of PI in n 2.492 * [taylor]: Taking taylor expansion of n in n 2.493 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.493 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.493 * [taylor]: Taking taylor expansion of -2.0 in n 2.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.493 * [taylor]: Taking taylor expansion of PI in n 2.493 * [taylor]: Taking taylor expansion of n in n 2.493 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.493 * [taylor]: Taking taylor expansion of -2.0 in n 2.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.493 * [taylor]: Taking taylor expansion of PI in n 2.493 * [taylor]: Taking taylor expansion of n in n 2.494 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 2.494 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 2.494 * [taylor]: Taking taylor expansion of (* n PI) in n 2.494 * [taylor]: Taking taylor expansion of n in n 2.494 * [taylor]: Taking taylor expansion of PI in n 2.494 * [taylor]: Taking taylor expansion of (* n PI) in n 2.494 * [taylor]: Taking taylor expansion of n in n 2.494 * [taylor]: Taking taylor expansion of PI in n 2.495 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 2.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.495 * [taylor]: Taking taylor expansion of PI in n 2.495 * [taylor]: Taking taylor expansion of n in n 2.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.495 * [taylor]: Taking taylor expansion of PI in n 2.495 * [taylor]: Taking taylor expansion of n in n 2.496 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 2.496 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.496 * [taylor]: Taking taylor expansion of -1 in n 2.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.496 * [taylor]: Taking taylor expansion of PI in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.496 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.496 * [taylor]: Taking taylor expansion of -1 in n 2.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.496 * [taylor]: Taking taylor expansion of PI in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.497 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.497 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in (n k) around 0 2.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in k 2.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.497 * [taylor]: Taking taylor expansion of k in k 2.497 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in k 2.497 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.497 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.497 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.497 * [taylor]: Taking taylor expansion of 0.5 in k 2.497 * [taylor]: Taking taylor expansion of k in k 2.497 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.497 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.497 * [taylor]: Taking taylor expansion of 2.0 in k 2.497 * [taylor]: Taking taylor expansion of (* n PI) in k 2.497 * [taylor]: Taking taylor expansion of n in k 2.497 * [taylor]: Taking taylor expansion of PI in k 2.498 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in k 2.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in k 2.498 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in k 2.498 * [taylor]: Taking taylor expansion of 0.5 in k 2.498 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in k 2.498 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.498 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.498 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.498 * [taylor]: Taking taylor expansion of 1.0 in k 2.498 * [taylor]: Taking taylor expansion of (log n) in k 2.498 * [taylor]: Taking taylor expansion of n in k 2.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.498 * [taylor]: Taking taylor expansion of 1.0 in k 2.498 * [taylor]: Taking taylor expansion of (log PI) in k 2.498 * [taylor]: Taking taylor expansion of PI in k 2.499 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 2.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.499 * [taylor]: Taking taylor expansion of k in n 2.499 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.499 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.499 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.499 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.499 * [taylor]: Taking taylor expansion of 0.5 in n 2.499 * [taylor]: Taking taylor expansion of k in n 2.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.499 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.499 * [taylor]: Taking taylor expansion of 2.0 in n 2.499 * [taylor]: Taking taylor expansion of (* n PI) in n 2.499 * [taylor]: Taking taylor expansion of n in n 2.499 * [taylor]: Taking taylor expansion of PI in n 2.500 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 2.500 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 2.500 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 2.500 * [taylor]: Taking taylor expansion of 0.5 in n 2.500 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 2.500 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.500 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.500 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.500 * [taylor]: Taking taylor expansion of 1.0 in n 2.500 * [taylor]: Taking taylor expansion of (log n) in n 2.500 * [taylor]: Taking taylor expansion of n in n 2.500 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.500 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.500 * [taylor]: Taking taylor expansion of 1.0 in n 2.500 * [taylor]: Taking taylor expansion of (log PI) in n 2.500 * [taylor]: Taking taylor expansion of PI in n 2.501 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 2.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.501 * [taylor]: Taking taylor expansion of k in n 2.501 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.501 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.501 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.501 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.501 * [taylor]: Taking taylor expansion of 0.5 in n 2.501 * [taylor]: Taking taylor expansion of k in n 2.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.501 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.501 * [taylor]: Taking taylor expansion of 2.0 in n 2.501 * [taylor]: Taking taylor expansion of (* n PI) in n 2.501 * [taylor]: Taking taylor expansion of n in n 2.501 * [taylor]: Taking taylor expansion of PI in n 2.501 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 2.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 2.501 * [taylor]: Taking taylor expansion of 0.5 in n 2.501 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 2.501 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.501 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.502 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.502 * [taylor]: Taking taylor expansion of 1.0 in n 2.502 * [taylor]: Taking taylor expansion of (log n) in n 2.502 * [taylor]: Taking taylor expansion of n in n 2.502 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.502 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.502 * [taylor]: Taking taylor expansion of 1.0 in n 2.502 * [taylor]: Taking taylor expansion of (log PI) in n 2.502 * [taylor]: Taking taylor expansion of PI in n 2.503 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 2.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.503 * [taylor]: Taking taylor expansion of k in k 2.503 * [taylor]: Taking taylor expansion of (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 2.503 * [taylor]: Taking taylor expansion of (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) 0.5) in k 2.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))))) in k 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) in k 2.503 * [taylor]: Taking taylor expansion of 0.5 in k 2.503 * [taylor]: Taking taylor expansion of (log (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) in k 2.503 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) in k 2.503 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.503 * [taylor]: Taking taylor expansion of 1.0 in k 2.503 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.503 * [taylor]: Taking taylor expansion of 1.0 in k 2.503 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.503 * [taylor]: Taking taylor expansion of (log 1) in k 2.503 * [taylor]: Taking taylor expansion of 1 in k 2.503 * [taylor]: Taking taylor expansion of (log n) in k 2.503 * [taylor]: Taking taylor expansion of n in k 2.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.504 * [taylor]: Taking taylor expansion of 1.0 in k 2.504 * [taylor]: Taking taylor expansion of (log PI) in k 2.504 * [taylor]: Taking taylor expansion of PI in k 2.504 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.504 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.504 * [taylor]: Taking taylor expansion of 0.5 in k 2.504 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.505 * [taylor]: Taking taylor expansion of k in k 2.505 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.505 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.505 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.505 * [taylor]: Taking taylor expansion of 2.0 in k 2.505 * [taylor]: Taking taylor expansion of PI in k 2.505 * [taylor]: Taking taylor expansion of (log n) in k 2.505 * [taylor]: Taking taylor expansion of n in k 2.508 * [taylor]: Taking taylor expansion of 0 in k 2.513 * [taylor]: Taking taylor expansion of 0 in k 2.526 * [taylor]: Taking taylor expansion of 0 in k 2.543 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 2.543 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.543 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.543 * [taylor]: Taking taylor expansion of k in k 2.543 * [taylor]: Taking taylor expansion of (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.543 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in k 2.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in k 2.543 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in k 2.543 * [taylor]: Taking taylor expansion of 0.5 in k 2.543 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in k 2.543 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in k 2.543 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.543 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.543 * [taylor]: Taking taylor expansion of 1.0 in k 2.543 * [taylor]: Taking taylor expansion of (log PI) in k 2.543 * [taylor]: Taking taylor expansion of PI in k 2.543 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.543 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.543 * [taylor]: Taking taylor expansion of 1.0 in k 2.543 * [taylor]: Taking taylor expansion of (log n) in k 2.543 * [taylor]: Taking taylor expansion of n in k 2.544 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.544 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.544 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.544 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.544 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.544 * [taylor]: Taking taylor expansion of 0.5 in k 2.544 * [taylor]: Taking taylor expansion of k in k 2.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.544 * [taylor]: Taking taylor expansion of 2.0 in k 2.544 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.544 * [taylor]: Taking taylor expansion of PI in k 2.544 * [taylor]: Taking taylor expansion of n in k 2.544 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.544 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.544 * [taylor]: Taking taylor expansion of k in n 2.544 * [taylor]: Taking taylor expansion of (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.544 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in n 2.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in n 2.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in n 2.544 * [taylor]: Taking taylor expansion of 0.5 in n 2.544 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in n 2.545 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in n 2.545 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.545 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.545 * [taylor]: Taking taylor expansion of 1.0 in n 2.545 * [taylor]: Taking taylor expansion of (log PI) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.545 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.545 * [taylor]: Taking taylor expansion of 1.0 in n 2.545 * [taylor]: Taking taylor expansion of (log n) in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.545 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.546 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.546 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.546 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.546 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.546 * [taylor]: Taking taylor expansion of 0.5 in n 2.546 * [taylor]: Taking taylor expansion of k in n 2.546 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.546 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.546 * [taylor]: Taking taylor expansion of 2.0 in n 2.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.546 * [taylor]: Taking taylor expansion of PI in n 2.546 * [taylor]: Taking taylor expansion of n in n 2.546 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.546 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.546 * [taylor]: Taking taylor expansion of k in n 2.546 * [taylor]: Taking taylor expansion of (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.546 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in n 2.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in n 2.546 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in n 2.546 * [taylor]: Taking taylor expansion of 0.5 in n 2.546 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in n 2.546 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in n 2.546 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.546 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.546 * [taylor]: Taking taylor expansion of 1.0 in n 2.546 * [taylor]: Taking taylor expansion of (log PI) in n 2.546 * [taylor]: Taking taylor expansion of PI in n 2.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.546 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.546 * [taylor]: Taking taylor expansion of 1.0 in n 2.547 * [taylor]: Taking taylor expansion of (log n) in n 2.547 * [taylor]: Taking taylor expansion of n in n 2.547 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.547 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.547 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.547 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.547 * [taylor]: Taking taylor expansion of 0.5 in n 2.547 * [taylor]: Taking taylor expansion of k in n 2.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.547 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.547 * [taylor]: Taking taylor expansion of 2.0 in n 2.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.547 * [taylor]: Taking taylor expansion of PI in n 2.547 * [taylor]: Taking taylor expansion of n in n 2.549 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.549 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.549 * [taylor]: Taking taylor expansion of k in k 2.549 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.549 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.549 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.549 * [taylor]: Taking taylor expansion of 0.5 in k 2.549 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.549 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.549 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.549 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.549 * [taylor]: Taking taylor expansion of 2.0 in k 2.549 * [taylor]: Taking taylor expansion of PI in k 2.549 * [taylor]: Taking taylor expansion of (log n) in k 2.549 * [taylor]: Taking taylor expansion of n in k 2.549 * [taylor]: Taking taylor expansion of k in k 2.549 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.549 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.549 * [taylor]: Taking taylor expansion of 0.5 in k 2.549 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.549 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.549 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.549 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.549 * [taylor]: Taking taylor expansion of 1.0 in k 2.550 * [taylor]: Taking taylor expansion of (log PI) in k 2.550 * [taylor]: Taking taylor expansion of PI in k 2.550 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.550 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.550 * [taylor]: Taking taylor expansion of 1.0 in k 2.550 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.550 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.550 * [taylor]: Taking taylor expansion of 1.0 in k 2.550 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.550 * [taylor]: Taking taylor expansion of (log 1) in k 2.550 * [taylor]: Taking taylor expansion of 1 in k 2.550 * [taylor]: Taking taylor expansion of (log n) in k 2.550 * [taylor]: Taking taylor expansion of n in k 2.554 * [taylor]: Taking taylor expansion of 0 in k 2.559 * [taylor]: Taking taylor expansion of 0 in k 2.568 * [taylor]: Taking taylor expansion of 0 in k 2.574 * [approximate]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in (n k) around 0 2.574 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 2.574 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.575 * [taylor]: Taking taylor expansion of 0.5 in k 2.575 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.575 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.575 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in k 2.575 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 2.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 2.575 * [taylor]: Taking taylor expansion of 1.0 in k 2.575 * [taylor]: Taking taylor expansion of (log -1) in k 2.575 * [taylor]: Taking taylor expansion of -1 in k 2.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.575 * [taylor]: Taking taylor expansion of 1.0 in k 2.575 * [taylor]: Taking taylor expansion of (log PI) in k 2.575 * [taylor]: Taking taylor expansion of PI in k 2.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.575 * [taylor]: Taking taylor expansion of 1.0 in k 2.575 * [taylor]: Taking taylor expansion of (log n) in k 2.575 * [taylor]: Taking taylor expansion of n in k 2.576 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.576 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.576 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.576 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.576 * [taylor]: Taking taylor expansion of -1 in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.576 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.576 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.576 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.576 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.576 * [taylor]: Taking taylor expansion of -0.5 in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.576 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.576 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.576 * [taylor]: Taking taylor expansion of -2.0 in k 2.576 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.576 * [taylor]: Taking taylor expansion of PI in k 2.576 * [taylor]: Taking taylor expansion of n in k 2.577 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.577 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.577 * [taylor]: Taking taylor expansion of 0.5 in n 2.577 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.577 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.577 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in n 2.577 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 2.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 2.577 * [taylor]: Taking taylor expansion of 1.0 in n 2.577 * [taylor]: Taking taylor expansion of (log -1) in n 2.577 * [taylor]: Taking taylor expansion of -1 in n 2.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.577 * [taylor]: Taking taylor expansion of 1.0 in n 2.577 * [taylor]: Taking taylor expansion of (log PI) in n 2.577 * [taylor]: Taking taylor expansion of PI in n 2.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.577 * [taylor]: Taking taylor expansion of 1.0 in n 2.577 * [taylor]: Taking taylor expansion of (log n) in n 2.577 * [taylor]: Taking taylor expansion of n in n 2.578 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.578 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.578 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.578 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.578 * [taylor]: Taking taylor expansion of -1 in n 2.578 * [taylor]: Taking taylor expansion of k in n 2.578 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.579 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.579 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.579 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.579 * [taylor]: Taking taylor expansion of -0.5 in n 2.579 * [taylor]: Taking taylor expansion of k in n 2.579 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.579 * [taylor]: Taking taylor expansion of -2.0 in n 2.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.579 * [taylor]: Taking taylor expansion of PI in n 2.579 * [taylor]: Taking taylor expansion of n in n 2.579 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.579 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.579 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.579 * [taylor]: Taking taylor expansion of 0.5 in n 2.579 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.579 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.579 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in n 2.579 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 2.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 2.579 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 2.579 * [taylor]: Taking taylor expansion of 1.0 in n 2.579 * [taylor]: Taking taylor expansion of (log -1) in n 2.579 * [taylor]: Taking taylor expansion of -1 in n 2.579 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.579 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.580 * [taylor]: Taking taylor expansion of 1.0 in n 2.580 * [taylor]: Taking taylor expansion of (log PI) in n 2.580 * [taylor]: Taking taylor expansion of PI in n 2.580 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.580 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.580 * [taylor]: Taking taylor expansion of 1.0 in n 2.580 * [taylor]: Taking taylor expansion of (log n) in n 2.580 * [taylor]: Taking taylor expansion of n in n 2.581 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.581 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.581 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.581 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.581 * [taylor]: Taking taylor expansion of -1 in n 2.581 * [taylor]: Taking taylor expansion of k in n 2.581 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.581 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.581 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.581 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.581 * [taylor]: Taking taylor expansion of -0.5 in n 2.581 * [taylor]: Taking taylor expansion of k in n 2.581 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.581 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.581 * [taylor]: Taking taylor expansion of -2.0 in n 2.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.581 * [taylor]: Taking taylor expansion of PI in n 2.581 * [taylor]: Taking taylor expansion of n in n 2.582 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 2.582 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.582 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.582 * [taylor]: Taking taylor expansion of 0.5 in k 2.582 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.582 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.582 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in k 2.582 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 2.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 2.582 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 2.582 * [taylor]: Taking taylor expansion of 1.0 in k 2.582 * [taylor]: Taking taylor expansion of (log -1) in k 2.582 * [taylor]: Taking taylor expansion of -1 in k 2.582 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.582 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.582 * [taylor]: Taking taylor expansion of 1.0 in k 2.582 * [taylor]: Taking taylor expansion of (log PI) in k 2.582 * [taylor]: Taking taylor expansion of PI in k 2.582 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.583 * [taylor]: Taking taylor expansion of (log 1) in k 2.583 * [taylor]: Taking taylor expansion of 1 in k 2.583 * [taylor]: Taking taylor expansion of (log n) in k 2.583 * [taylor]: Taking taylor expansion of n in k 2.584 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.584 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.584 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.584 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.584 * [taylor]: Taking taylor expansion of -0.5 in k 2.584 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.584 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.584 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.584 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.584 * [taylor]: Taking taylor expansion of -2.0 in k 2.584 * [taylor]: Taking taylor expansion of PI in k 2.584 * [taylor]: Taking taylor expansion of (log n) in k 2.584 * [taylor]: Taking taylor expansion of n in k 2.584 * [taylor]: Taking taylor expansion of k in k 2.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.584 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.584 * [taylor]: Taking taylor expansion of -1 in k 2.584 * [taylor]: Taking taylor expansion of k in k 2.588 * [taylor]: Taking taylor expansion of 0 in k 2.596 * [taylor]: Taking taylor expansion of 0 in k 2.606 * [taylor]: Taking taylor expansion of 0 in k 2.607 * * * [progress]: simplifying candidates 2.612 * [simplify]: Simplifying using # : (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (+ (log PI) (log n)) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (* (log (* PI n)) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 2.0)) (- (log (pow (* PI n) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (+ (* (log 2.0) (/ 1.0 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(/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (log (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (exp (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (pow (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0)))) 3) (pow (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0)))) 3) (* (cbrt (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (cbrt (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0)))))) (cbrt (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (pow (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0)))) 3) (sqrt (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (sqrt (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))))) (neg (pow (* PI n) (/ 1.0 2.0))) (* (sqrt k) (neg (pow (* 2.0 (* PI n)) (/ k 2.0)))) (/ (pow PI (/ 1.0 2.0)) (sqrt k)) (/ (pow n (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (/ (cbrt (pow (* PI n) (/ 1.0 2.0))) (sqrt k)) (cbrt (pow (* PI n) (/ 1.0 2.0)))) (/ (cbrt (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (/ (sqrt (pow (* PI n) (/ 1.0 2.0))) (sqrt k)) (/ (sqrt (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (/ 1 (sqrt k)) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (/ (pow (* PI n) (/ 1.0 (* 2.0 2))) (sqrt k)) (/ (pow (* PI n) (/ 1.0 (* 2.0 2))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0)))) (* (/ (sqrt k) (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (sqrt k)) (* (/ (sqrt k) (pow n (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (/ (sqrt k) (cbrt (pow (* PI n) (/ 1.0 2.0)))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (/ (sqrt k) (sqrt (pow (* PI n) (/ 1.0 2.0)))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (/ (sqrt k) (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (/ (sqrt k) (pow (* PI n) (/ 1.0 (* 2.0 2)))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (+ (* 0.125 (* k (* k (* (pow (log (* 2.0 PI)) 2) (* NAN (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log n) (log (* 2.0 PI))) NAN)) 0.25)) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN))) (+ (* 0.5 (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* 2.0 PI)) NAN)) (* (log n) (* k (* k (pow NAN 3))))))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* k (* k (* (log (* 2.0 PI)) (pow NAN 3))))))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (* 2.0 (* PI n)) (* k 0.5)))) (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5)) (* (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5) (+ (/ (pow NAN 3) (* k (* k (pow (* 2.0 (* PI n)) (* k 0.5))))) (/ NAN (* k (pow (* 2.0 (* PI n)) (* k 0.5))))))) (* (pow (* (/ (pow -1 1.0) (pow (* (pow 1 1.0) (pow (/ -1 n) 1.0)) 1.0)) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (/ NAN (* k (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))))) (/ (exp (neg (* k (* (- (log (* PI -2.0)) (log (/ -1 n))) 0.5)))) NAN))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (log (* 2.0 PI)) 2) (* NAN (pow (* (pow (pow n 1.0) 1.0) (pow PI 1.0)) 0.5)))))) (+ (* (pow (* (pow (pow n 1.0) 1.0) (pow PI 1.0)) 0.5) (+ (* k (pow NAN 3)) (* k (* k (pow NAN 5))))) (- (+ (* 0.125 (* NAN (* (pow (* (pow (pow n 1.0) 1.0) (pow PI 1.0)) 0.5) (* k (* k (pow (log n) 2)))))) (+ (* NAN (pow (* (pow (pow n 1.0) 1.0) (pow PI 1.0)) 0.5)) (* 0.25 (* (log (* 2.0 PI)) (* (* (log n) (* k (* k NAN))) (pow (* (pow (pow n 1.0) 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0.5 (* (pow (* (pow (pow n 1.0) 1.0) (pow PI 1.0)) 0.5) (+ (* k (* k (* (log (* 2.0 PI)) (pow NAN 3)))) (* k (* (log (* 2.0 PI)) NAN))))) (* (pow (* (pow (pow n 1.0) 1.0) (pow PI 1.0)) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* (log n) (* k (* k (pow NAN 3))))))))))) (* (pow (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) 0.5) (+ (/ (pow NAN 3) (* k (* k (pow (* 2.0 (* PI n)) (* k 0.5))))) (+ (/ (pow NAN 5) (* (pow k 3) (pow (* 2.0 (* PI n)) (* k 0.5)))) (/ NAN (* k (pow (* 2.0 (* PI n)) (* k 0.5))))))) (* (pow (* (/ (pow -1 1.0) (pow (* (pow 1 1.0) (pow (/ -1 n) 1.0)) 1.0)) (pow PI 1.0)) 0.5) (+ (/ NAN (* k (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))))) (/ (exp (neg (* k (* (- (log (* PI -2.0)) (log (/ -1 n))) 0.5)))) NAN))) 2.695 * * * [progress]: adding candidates to table 2.954 * * [progress]: iteration 4 / 4 2.954 * * * [progress]: picking best candidate 2.981 * * * * [pick]: Picked # 2.981 * * * [progress]: localizing error 3.027 * * * [progress]: generating rewritten candidates 3.027 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.034 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 3.039 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 3.043 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.060 * * * [progress]: generating series expansions 3.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.060 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (pow 2.0 1.0) 0.5)) in (k) around 0 3.060 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (pow 2.0 1.0) 0.5)) in k 3.060 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.060 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.060 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.060 * [taylor]: Taking taylor expansion of 1/4 in k 3.060 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.060 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.060 * [taylor]: Taking taylor expansion of k in k 3.060 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.060 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.060 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.061 * [taylor]: Taking taylor expansion of 0.5 in k 3.061 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.061 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.061 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.061 * [taylor]: Taking taylor expansion of 1.0 in k 3.061 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.061 * [taylor]: Taking taylor expansion of 2.0 in k 3.061 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (pow 2.0 1.0) 0.5)) in k 3.061 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.061 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.061 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.061 * [taylor]: Taking taylor expansion of 1/4 in k 3.061 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.061 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.061 * [taylor]: Taking taylor expansion of k in k 3.061 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.061 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.061 * [taylor]: Taking taylor expansion of 0.5 in k 3.061 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.061 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.061 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.061 * [taylor]: Taking taylor expansion of 1.0 in k 3.061 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.061 * [taylor]: Taking taylor expansion of 2.0 in k 3.083 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (pow (pow 2.0 1.0) 0.5)) in (k) around 0 3.083 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (pow 2.0 1.0) 0.5)) in k 3.083 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.083 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.083 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.083 * [taylor]: Taking taylor expansion of 1/4 in k 3.083 * [taylor]: Taking taylor expansion of (log k) in k 3.083 * [taylor]: Taking taylor expansion of k in k 3.083 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.083 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.083 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.084 * [taylor]: Taking taylor expansion of 0.5 in k 3.084 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.084 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.084 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.084 * [taylor]: Taking taylor expansion of 1.0 in k 3.084 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.084 * [taylor]: Taking taylor expansion of 2.0 in k 3.084 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (pow 2.0 1.0) 0.5)) in k 3.084 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.084 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.084 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.084 * [taylor]: Taking taylor expansion of 1/4 in k 3.084 * [taylor]: Taking taylor expansion of (log k) in k 3.084 * [taylor]: Taking taylor expansion of k in k 3.084 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.084 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.084 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.084 * [taylor]: Taking taylor expansion of 0.5 in k 3.084 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.084 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.084 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.084 * [taylor]: Taking taylor expansion of 1.0 in k 3.084 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.084 * [taylor]: Taking taylor expansion of 2.0 in k 3.103 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (pow 2.0 1.0) 0.5)) in (k) around 0 3.103 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (pow 2.0 1.0) 0.5)) in k 3.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.103 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.103 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.103 * [taylor]: Taking taylor expansion of -1 in k 3.103 * [taylor]: Taking taylor expansion of k in k 3.103 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.103 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.103 * [taylor]: Taking taylor expansion of 0.5 in k 3.103 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.103 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.103 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.103 * [taylor]: Taking taylor expansion of 1.0 in k 3.103 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.103 * [taylor]: Taking taylor expansion of 2.0 in k 3.103 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (pow 2.0 1.0) 0.5)) in k 3.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.104 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.104 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.104 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.104 * [taylor]: Taking taylor expansion of -1 in k 3.104 * [taylor]: Taking taylor expansion of k in k 3.104 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.104 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.104 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.104 * [taylor]: Taking taylor expansion of 0.5 in k 3.104 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.104 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.104 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.104 * [taylor]: Taking taylor expansion of 1.0 in k 3.104 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.104 * [taylor]: Taking taylor expansion of 2.0 in k 3.108 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 3.108 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.108 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.108 * [taylor]: Taking taylor expansion of 2.0 in n 3.108 * [taylor]: Taking taylor expansion of (* n PI) in n 3.108 * [taylor]: Taking taylor expansion of n in n 3.108 * [taylor]: Taking taylor expansion of PI in n 3.108 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.108 * [taylor]: Taking taylor expansion of 2.0 in n 3.108 * [taylor]: Taking taylor expansion of (* n PI) in n 3.108 * [taylor]: Taking taylor expansion of n in n 3.108 * [taylor]: Taking taylor expansion of PI in n 3.109 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.109 * [taylor]: Taking taylor expansion of 2.0 in n 3.109 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.109 * [taylor]: Taking taylor expansion of PI in n 3.109 * [taylor]: Taking taylor expansion of n in n 3.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.109 * [taylor]: Taking taylor expansion of 2.0 in n 3.109 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.109 * [taylor]: Taking taylor expansion of PI in n 3.109 * [taylor]: Taking taylor expansion of n in n 3.110 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.110 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.110 * [taylor]: Taking taylor expansion of -2.0 in n 3.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.110 * [taylor]: Taking taylor expansion of PI in n 3.110 * [taylor]: Taking taylor expansion of n in n 3.110 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.110 * [taylor]: Taking taylor expansion of -2.0 in n 3.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.110 * [taylor]: Taking taylor expansion of PI in n 3.110 * [taylor]: Taking taylor expansion of n in n 3.111 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 3.111 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 3.111 * [taylor]: Taking taylor expansion of (* n PI) in n 3.111 * [taylor]: Taking taylor expansion of n in n 3.111 * [taylor]: Taking taylor expansion of PI in n 3.111 * [taylor]: Taking taylor expansion of (* n PI) in n 3.111 * [taylor]: Taking taylor expansion of n in n 3.111 * [taylor]: Taking taylor expansion of PI in n 3.112 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 3.112 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 3.112 * [taylor]: Taking taylor expansion of -1 in n 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 3.112 * [taylor]: Taking taylor expansion of -1 in n 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.113 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.114 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in (n k) around 0 3.114 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in k 3.114 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.114 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.114 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.114 * [taylor]: Taking taylor expansion of 1/4 in k 3.114 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.114 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.114 * [taylor]: Taking taylor expansion of k in k 3.114 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in k 3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.114 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.114 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.114 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.114 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.114 * [taylor]: Taking taylor expansion of 0.5 in k 3.114 * [taylor]: Taking taylor expansion of k in k 3.114 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.114 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.114 * [taylor]: Taking taylor expansion of 2.0 in k 3.114 * [taylor]: Taking taylor expansion of (* n PI) in k 3.114 * [taylor]: Taking taylor expansion of n in k 3.114 * [taylor]: Taking taylor expansion of PI in k 3.115 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in k 3.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in k 3.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in k 3.115 * [taylor]: Taking taylor expansion of 0.5 in k 3.115 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in k 3.115 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.115 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.115 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.115 * [taylor]: Taking taylor expansion of 1.0 in k 3.115 * [taylor]: Taking taylor expansion of (log n) in k 3.115 * [taylor]: Taking taylor expansion of n in k 3.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.115 * [taylor]: Taking taylor expansion of 1.0 in k 3.115 * [taylor]: Taking taylor expansion of (log PI) in k 3.115 * [taylor]: Taking taylor expansion of PI in k 3.116 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 3.116 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.116 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.116 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.116 * [taylor]: Taking taylor expansion of 1/4 in n 3.116 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.116 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.116 * [taylor]: Taking taylor expansion of k in n 3.116 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.116 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.116 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.116 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.116 * [taylor]: Taking taylor expansion of 0.5 in n 3.116 * [taylor]: Taking taylor expansion of k in n 3.116 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.116 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.116 * [taylor]: Taking taylor expansion of 2.0 in n 3.116 * [taylor]: Taking taylor expansion of (* n PI) in n 3.116 * [taylor]: Taking taylor expansion of n in n 3.116 * [taylor]: Taking taylor expansion of PI in n 3.116 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 3.116 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 3.116 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 3.116 * [taylor]: Taking taylor expansion of 0.5 in n 3.116 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 3.116 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.117 * [taylor]: Taking taylor expansion of 1.0 in n 3.117 * [taylor]: Taking taylor expansion of (log n) in n 3.117 * [taylor]: Taking taylor expansion of n in n 3.117 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.117 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.117 * [taylor]: Taking taylor expansion of 1.0 in n 3.117 * [taylor]: Taking taylor expansion of (log PI) in n 3.117 * [taylor]: Taking taylor expansion of PI in n 3.117 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 3.117 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.117 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.117 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.117 * [taylor]: Taking taylor expansion of 1/4 in n 3.118 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.118 * [taylor]: Taking taylor expansion of k in n 3.118 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 3.118 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.118 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.118 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.118 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.118 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.118 * [taylor]: Taking taylor expansion of 0.5 in n 3.118 * [taylor]: Taking taylor expansion of k in n 3.118 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.118 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.118 * [taylor]: Taking taylor expansion of 2.0 in n 3.118 * [taylor]: Taking taylor expansion of (* n PI) in n 3.118 * [taylor]: Taking taylor expansion of n in n 3.118 * [taylor]: Taking taylor expansion of PI in n 3.118 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 3.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 3.118 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 3.118 * [taylor]: Taking taylor expansion of 0.5 in n 3.118 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 3.118 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.118 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.118 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.118 * [taylor]: Taking taylor expansion of 1.0 in n 3.118 * [taylor]: Taking taylor expansion of (log n) in n 3.118 * [taylor]: Taking taylor expansion of n in n 3.119 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.119 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.119 * [taylor]: Taking taylor expansion of 1.0 in n 3.119 * [taylor]: Taking taylor expansion of (log PI) in n 3.119 * [taylor]: Taking taylor expansion of PI in n 3.120 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 3.120 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.120 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.120 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.120 * [taylor]: Taking taylor expansion of 1/4 in k 3.120 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.120 * [taylor]: Taking taylor expansion of k in k 3.120 * [taylor]: Taking taylor expansion of (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 3.120 * [taylor]: Taking taylor expansion of (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) 0.5) in k 3.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))))) in k 3.120 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) in k 3.120 * [taylor]: Taking taylor expansion of 0.5 in k 3.120 * [taylor]: Taking taylor expansion of (log (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) in k 3.120 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)) in k 3.120 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 3.120 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 3.120 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 3.120 * [taylor]: Taking taylor expansion of 1.0 in k 3.120 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 3.120 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 3.120 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 3.120 * [taylor]: Taking taylor expansion of 1.0 in k 3.120 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 3.120 * [taylor]: Taking taylor expansion of (log 1) in k 3.120 * [taylor]: Taking taylor expansion of 1 in k 3.120 * [taylor]: Taking taylor expansion of (log n) in k 3.120 * [taylor]: Taking taylor expansion of n in k 3.121 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.121 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.121 * [taylor]: Taking taylor expansion of 1.0 in k 3.121 * [taylor]: Taking taylor expansion of (log PI) in k 3.121 * [taylor]: Taking taylor expansion of PI in k 3.121 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.122 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.122 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.122 * [taylor]: Taking taylor expansion of 0.5 in k 3.122 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.122 * [taylor]: Taking taylor expansion of k in k 3.122 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.122 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.122 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.122 * [taylor]: Taking taylor expansion of 2.0 in k 3.122 * [taylor]: Taking taylor expansion of PI in k 3.122 * [taylor]: Taking taylor expansion of (log n) in k 3.122 * [taylor]: Taking taylor expansion of n in k 3.125 * [taylor]: Taking taylor expansion of 0 in k 3.132 * [taylor]: Taking taylor expansion of 0 in k 3.142 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow k 1/4) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5))) in (n k) around 0 3.142 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow k 1/4) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5))) in k 3.142 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.142 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.142 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.143 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.143 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.143 * [taylor]: Taking taylor expansion of 0.5 in k 3.143 * [taylor]: Taking taylor expansion of k in k 3.143 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.143 * [taylor]: Taking taylor expansion of 2.0 in k 3.143 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.143 * [taylor]: Taking taylor expansion of PI in k 3.143 * [taylor]: Taking taylor expansion of n in k 3.143 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5)) in k 3.143 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.143 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.143 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.143 * [taylor]: Taking taylor expansion of 1/4 in k 3.143 * [taylor]: Taking taylor expansion of (log k) in k 3.143 * [taylor]: Taking taylor expansion of k in k 3.143 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in k 3.143 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in k 3.143 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in k 3.143 * [taylor]: Taking taylor expansion of 0.5 in k 3.143 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in k 3.143 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in k 3.143 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.143 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.143 * [taylor]: Taking taylor expansion of 1.0 in k 3.143 * [taylor]: Taking taylor expansion of (log PI) in k 3.143 * [taylor]: Taking taylor expansion of PI in k 3.143 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.144 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.144 * [taylor]: Taking taylor expansion of 1.0 in k 3.144 * [taylor]: Taking taylor expansion of (log n) in k 3.144 * [taylor]: Taking taylor expansion of n in k 3.144 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow k 1/4) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5))) in n 3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.144 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.144 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.144 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.144 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.144 * [taylor]: Taking taylor expansion of 0.5 in n 3.144 * [taylor]: Taking taylor expansion of k in n 3.144 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.144 * [taylor]: Taking taylor expansion of 2.0 in n 3.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.144 * [taylor]: Taking taylor expansion of PI in n 3.144 * [taylor]: Taking taylor expansion of n in n 3.145 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5)) in n 3.145 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 3.145 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 3.145 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 3.145 * [taylor]: Taking taylor expansion of 1/4 in n 3.145 * [taylor]: Taking taylor expansion of (log k) in n 3.145 * [taylor]: Taking taylor expansion of k in n 3.145 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in n 3.145 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in n 3.145 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in n 3.145 * [taylor]: Taking taylor expansion of 0.5 in n 3.145 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in n 3.145 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in n 3.145 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.145 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.145 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.145 * [taylor]: Taking taylor expansion of 1.0 in n 3.145 * [taylor]: Taking taylor expansion of (log PI) in n 3.145 * [taylor]: Taking taylor expansion of PI in n 3.145 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.145 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.145 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.145 * [taylor]: Taking taylor expansion of 1.0 in n 3.145 * [taylor]: Taking taylor expansion of (log n) in n 3.145 * [taylor]: Taking taylor expansion of n in n 3.146 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow k 1/4) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5))) in n 3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.146 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.146 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.146 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.146 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.146 * [taylor]: Taking taylor expansion of 0.5 in n 3.146 * [taylor]: Taking taylor expansion of k in n 3.146 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.146 * [taylor]: Taking taylor expansion of 2.0 in n 3.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.146 * [taylor]: Taking taylor expansion of PI in n 3.146 * [taylor]: Taking taylor expansion of n in n 3.147 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5)) in n 3.147 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 3.147 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 3.147 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 3.147 * [taylor]: Taking taylor expansion of 1/4 in n 3.147 * [taylor]: Taking taylor expansion of (log k) in n 3.147 * [taylor]: Taking taylor expansion of k in n 3.147 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in n 3.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in n 3.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in n 3.147 * [taylor]: Taking taylor expansion of 0.5 in n 3.147 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in n 3.147 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in n 3.147 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.147 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.147 * [taylor]: Taking taylor expansion of 1.0 in n 3.147 * [taylor]: Taking taylor expansion of (log PI) in n 3.147 * [taylor]: Taking taylor expansion of PI in n 3.147 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.147 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.147 * [taylor]: Taking taylor expansion of 1.0 in n 3.147 * [taylor]: Taking taylor expansion of (log n) in n 3.147 * [taylor]: Taking taylor expansion of n in n 3.148 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 3.149 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.149 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.149 * [taylor]: Taking taylor expansion of 1/4 in k 3.149 * [taylor]: Taking taylor expansion of (log k) in k 3.149 * [taylor]: Taking taylor expansion of k in k 3.149 * [taylor]: Taking taylor expansion of (* (pow (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 3.149 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 3.149 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 3.149 * [taylor]: Taking taylor expansion of 0.5 in k 3.149 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 3.149 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 3.149 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.149 * [taylor]: Taking taylor expansion of 1.0 in k 3.149 * [taylor]: Taking taylor expansion of (log PI) in k 3.149 * [taylor]: Taking taylor expansion of PI in k 3.149 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 3.149 * [taylor]: Taking taylor expansion of 1.0 in k 3.149 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 3.149 * [taylor]: Taking taylor expansion of 1.0 in k 3.149 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 3.149 * [taylor]: Taking taylor expansion of (log 1) in k 3.149 * [taylor]: Taking taylor expansion of 1 in k 3.149 * [taylor]: Taking taylor expansion of (log n) in k 3.149 * [taylor]: Taking taylor expansion of n in k 3.150 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.150 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.150 * [taylor]: Taking taylor expansion of 0.5 in k 3.150 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.150 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.150 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.150 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.150 * [taylor]: Taking taylor expansion of 2.0 in k 3.150 * [taylor]: Taking taylor expansion of PI in k 3.150 * [taylor]: Taking taylor expansion of (log n) in k 3.150 * [taylor]: Taking taylor expansion of n in k 3.150 * [taylor]: Taking taylor expansion of k in k 3.154 * [taylor]: Taking taylor expansion of 0 in k 3.161 * [taylor]: Taking taylor expansion of 0 in k 3.171 * [taylor]: Taking taylor expansion of 0 in k 3.172 * [approximate]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in (n k) around 0 3.172 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 3.172 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.172 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.172 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.172 * [taylor]: Taking taylor expansion of 0.5 in k 3.172 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.172 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.172 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in k 3.172 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 3.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 3.172 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 3.172 * [taylor]: Taking taylor expansion of 1.0 in k 3.172 * [taylor]: Taking taylor expansion of (log -1) in k 3.172 * [taylor]: Taking taylor expansion of -1 in k 3.172 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.172 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.172 * [taylor]: Taking taylor expansion of 1.0 in k 3.172 * [taylor]: Taking taylor expansion of (log PI) in k 3.172 * [taylor]: Taking taylor expansion of PI in k 3.172 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.172 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.172 * [taylor]: Taking taylor expansion of 1.0 in k 3.172 * [taylor]: Taking taylor expansion of (log n) in k 3.172 * [taylor]: Taking taylor expansion of n in k 3.173 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.173 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.173 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.173 * [taylor]: Taking taylor expansion of -1 in k 3.173 * [taylor]: Taking taylor expansion of k in k 3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.174 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.174 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.174 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.174 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.174 * [taylor]: Taking taylor expansion of -0.5 in k 3.174 * [taylor]: Taking taylor expansion of k in k 3.174 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.174 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.174 * [taylor]: Taking taylor expansion of -2.0 in k 3.174 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.174 * [taylor]: Taking taylor expansion of PI in k 3.174 * [taylor]: Taking taylor expansion of n in k 3.174 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 3.174 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.174 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.174 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.174 * [taylor]: Taking taylor expansion of 0.5 in n 3.174 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.174 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.174 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in n 3.174 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 3.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 3.174 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 3.174 * [taylor]: Taking taylor expansion of 1.0 in n 3.174 * [taylor]: Taking taylor expansion of (log -1) in n 3.174 * [taylor]: Taking taylor expansion of -1 in n 3.174 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.175 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.175 * [taylor]: Taking taylor expansion of 1.0 in n 3.175 * [taylor]: Taking taylor expansion of (log PI) in n 3.175 * [taylor]: Taking taylor expansion of PI in n 3.175 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.175 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.175 * [taylor]: Taking taylor expansion of 1.0 in n 3.175 * [taylor]: Taking taylor expansion of (log n) in n 3.175 * [taylor]: Taking taylor expansion of n in n 3.176 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 3.176 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.176 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.176 * [taylor]: Taking taylor expansion of -1 in n 3.176 * [taylor]: Taking taylor expansion of k in n 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.176 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.176 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.176 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.176 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.176 * [taylor]: Taking taylor expansion of -0.5 in n 3.176 * [taylor]: Taking taylor expansion of k in n 3.176 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.176 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.176 * [taylor]: Taking taylor expansion of -2.0 in n 3.176 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.176 * [taylor]: Taking taylor expansion of PI in n 3.176 * [taylor]: Taking taylor expansion of n in n 3.177 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 3.177 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.177 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.177 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.177 * [taylor]: Taking taylor expansion of 0.5 in n 3.177 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.177 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.177 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in n 3.177 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 3.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 3.177 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 3.177 * [taylor]: Taking taylor expansion of 1.0 in n 3.177 * [taylor]: Taking taylor expansion of (log -1) in n 3.177 * [taylor]: Taking taylor expansion of -1 in n 3.177 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.177 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.177 * [taylor]: Taking taylor expansion of 1.0 in n 3.177 * [taylor]: Taking taylor expansion of (log PI) in n 3.177 * [taylor]: Taking taylor expansion of PI in n 3.177 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.177 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.177 * [taylor]: Taking taylor expansion of 1.0 in n 3.177 * [taylor]: Taking taylor expansion of (log n) in n 3.177 * [taylor]: Taking taylor expansion of n in n 3.178 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 3.178 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.178 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.178 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.178 * [taylor]: Taking taylor expansion of -1 in n 3.178 * [taylor]: Taking taylor expansion of k in n 3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.179 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.179 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.179 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.179 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.179 * [taylor]: Taking taylor expansion of -0.5 in n 3.179 * [taylor]: Taking taylor expansion of k in n 3.179 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.179 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.179 * [taylor]: Taking taylor expansion of -2.0 in n 3.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.179 * [taylor]: Taking taylor expansion of PI in n 3.179 * [taylor]: Taking taylor expansion of n in n 3.180 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (* (/ 1 (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k)))))) in k 3.180 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 3.180 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 3.180 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 3.180 * [taylor]: Taking taylor expansion of 0.5 in k 3.180 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 3.180 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 3.180 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in k 3.180 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 3.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 3.180 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 3.180 * [taylor]: Taking taylor expansion of 1.0 in k 3.180 * [taylor]: Taking taylor expansion of (log -1) in k 3.180 * [taylor]: Taking taylor expansion of -1 in k 3.180 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.180 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.180 * [taylor]: Taking taylor expansion of 1.0 in k 3.180 * [taylor]: Taking taylor expansion of (log PI) in k 3.180 * [taylor]: Taking taylor expansion of PI in k 3.180 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 3.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 3.180 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 3.180 * [taylor]: Taking taylor expansion of 1.0 in k 3.180 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 3.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 3.180 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 3.180 * [taylor]: Taking taylor expansion of 1.0 in k 3.180 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 3.180 * [taylor]: Taking taylor expansion of (log 1) in k 3.180 * [taylor]: Taking taylor expansion of 1 in k 3.180 * [taylor]: Taking taylor expansion of (log n) in k 3.181 * [taylor]: Taking taylor expansion of n in k 3.182 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 3.182 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)))) in k 3.182 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.182 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.182 * [taylor]: Taking taylor expansion of -0.5 in k 3.182 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.182 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.182 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.182 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.182 * [taylor]: Taking taylor expansion of -2.0 in k 3.182 * [taylor]: Taking taylor expansion of PI in k 3.182 * [taylor]: Taking taylor expansion of (log n) in k 3.182 * [taylor]: Taking taylor expansion of n in k 3.182 * [taylor]: Taking taylor expansion of k in k 3.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.182 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.182 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.182 * [taylor]: Taking taylor expansion of -1 in k 3.182 * [taylor]: Taking taylor expansion of k in k 3.186 * [taylor]: Taking taylor expansion of 0 in k 3.194 * [taylor]: Taking taylor expansion of 0 in k 3.201 * * * [progress]: simplifying candidates 3.204 * [simplify]: Simplifying using # : (- (* (log 2.0) (/ 1.0 2.0)) (log (sqrt (sqrt k)))) (- (* (log 2.0) (/ 1.0 2.0)) (log (sqrt (sqrt k)))) (- (log (pow 2.0 (/ 1.0 2.0))) (log (sqrt (sqrt k)))) (log (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (exp (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (/ (* (* (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ 1.0 2.0))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (cbrt (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k))))) (cbrt (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (* (* (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (sqrt (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (sqrt (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k)))) (neg (pow 2.0 (/ 1.0 2.0))) (neg (sqrt (sqrt k))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (cbrt (sqrt (sqrt k)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (cbrt (sqrt k)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (cbrt k)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (sqrt (sqrt 1))) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (sqrt 1)) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ 1.0 2.0)) 1) (/ (pow (cbrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (cbrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (cbrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (cbrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt 1))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt 1)) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) 1) (/ (pow (sqrt 2.0) (/ 1.0 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(/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (fabs (cbrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (cbrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (pow (sqrt 2.0) (/ 1.0 2.0)) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (pow (sqrt 2.0) (/ 1.0 2.0)) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) (pow (sqrt 2.0) (/ 1.0 2.0)) (/ (pow (sqrt 2.0) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow 2.0 (/ 1.0 2.0)) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) 1 (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) 1 (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt (sqrt k)))) 1 (/ (pow 2.0 (/ 1.0 2.0)) (sqrt (sqrt k))) (* (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (fabs (cbrt (sqrt k)))) (cbrt (pow 2.0 (/ 1.0 2.0)))) (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (sqrt (cbrt (sqrt k)))) (* (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (sqrt (fabs (cbrt k)))) (cbrt (pow 2.0 (/ 1.0 2.0)))) (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (sqrt (sqrt (cbrt k)))) (* (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2.0 (/ 1.0 2.0)))) (/ (cbrt (pow 2.0 (/ 1.0 2.0))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2.0 (/ 1.0 2.0))) (cbrt (pow 2.0 (/ 1.0 2.0)))) (/ (cbrt (pow 2.0 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(+ (* (pow (pow 2.0 1.0) 0.5) (sqrt (/ 1 NAN))) (* (pow (pow 2.0 1.0) 0.5) (- (* 1/2 (/ (sqrt (pow NAN 3)) k)) (* 1/8 (/ (sqrt (pow NAN 7)) (* k k)))))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* PI n) (* PI n) (* PI n) (+ (* (pow (* (pow PI 1.0) (pow (pow n 1.0) 1.0)) 0.5) (* (* k k) (+ (* 0.125 (* (pow k -1/4) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (log n) (* (pow k -1/4) (log (* 2.0 PI)))))))) (* (pow (* (pow PI 1.0) (pow (pow n 1.0) 1.0)) 0.5) (- (* (pow k -1/4) (+ 1 (* 0.125 (* k (* k (pow (log n) 2)))))) (* 0.5 (* (pow k -1/4) (* k (log (* 2.0 (* PI n))))))))) (* (/ (pow k -1/4) (pow (* 2.0 (* PI n)) (* k 0.5))) (pow (/ (pow PI 1.0) (pow (pow n (neg 1.0)) 1.0)) 0.5)) (+ (* 1/2 (* (sqrt (pow NAN 3)) (/ (pow (* (/ (pow -1 1.0) (pow (pow (/ -1 n) 1.0) 1.0)) (pow PI 1.0)) 0.5) (* k (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))))))) (* (pow (* (/ (pow -1 1.0) (pow (pow (/ -1 n) 1.0) 1.0)) (pow PI 1.0)) 0.5) (- (/ (sqrt (/ 1 NAN)) (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n)))))) (* (/ (sqrt (pow NAN 7)) (* k (* k (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n)))))))) 1/8)))) 3.263 * * * [progress]: adding candidates to table 3.772 * [progress]: [Phase 3 of 3] Extracting. 3.772 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.775 * * * [regime-changes]: Trying 2 branch expressions: (n k) 3.775 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 3.842 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 3.906 * * * [regime]: Found split indices: #