51.195 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.157 * * * [progress]: [2/2] Setting up program. 0.163 * [progress]: [Phase 2 of 3] Improving. 0.163 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.163 * * [simplify]: Extracting # 0 : cost 0 0.163 * * [simplify]: Extracting # 1 : cost 0 0.164 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.164 * * [simplify]: Extracting # 4 : cost 0 0.164 * * [simplify]: Extracting # 5 : cost 0 0.164 * * [simplify]: Extracting # 6 : cost 0 0.164 * * [simplify]: Extracting # 7 : cost 0 0.164 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.170 * * [simplify]: Extracting # 0 : cost 0 0.170 * * [simplify]: Extracting # 1 : cost 0 0.170 * * [simplify]: Extracting # 2 : cost 0 0.170 * * [simplify]: Extracting # 3 : cost 0 0.171 * * [simplify]: Extracting # 4 : cost 0 0.171 * * [simplify]: Extracting # 5 : cost 0 0.171 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.184 * * [simplify]: Extracting # 2 : cost 0 0.184 * * [simplify]: Extracting # 3 : cost 0 0.184 * * [simplify]: Extracting # 4 : cost 0 0.184 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.204 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: Extracting # 3 : cost 0 0.204 * * [simplify]: Extracting # 4 : cost 0 0.204 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.246 * * [simplify]: Extracting # 0 : cost 0 0.246 * * [simplify]: Extracting # 1 : cost 0 0.247 * * [simplify]: Extracting # 2 : cost 0 0.247 * * [simplify]: Extracting # 3 : cost 0 0.248 * * [simplify]: Extracting # 4 : cost 0 0.249 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.492 * * [simplify]: Extracting # 0 : cost 0 0.493 * * [simplify]: Extracting # 1 : cost 0 0.494 * * [simplify]: Extracting # 2 : cost 0 0.495 * * [simplify]: Extracting # 3 : cost 0 0.495 * * [simplify]: Extracting # 4 : cost 0 0.496 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 2.146 * * [simplify]: Extracting # 0 : cost 0 2.150 * * [simplify]: Extracting # 1 : cost 0 2.152 * * [simplify]: Extracting # 2 : cost 0 2.158 * * [simplify]: Extracting # 3 : cost 0 2.161 * * [simplify]: Extracting # 4 : cost 0 2.164 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 4.429 * * [simplify]: Extracting # 0 : cost 0 4.439 * * [simplify]: Extracting # 1 : cost 0 4.449 * * [simplify]: Extracting # 2 : cost 0 4.458 * * [simplify]: Extracting # 3 : cost 0 4.472 * * [simplify]: Extracting # 4 : cost 0 4.481 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.481 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.481 * * [progress]: iteration 1 / 4 4.481 * * * [progress]: picking best candidate 4.486 * * * * [pick]: Picked # 4.486 * * * [progress]: localizing error 4.516 * * * [progress]: generating rewritten candidates 4.516 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.551 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.577 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.670 * * * [progress]: generating series expansions 4.670 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.671 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.671 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.671 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.671 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.671 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.671 * [taylor]: Taking taylor expansion of 0.5 in k 4.672 * [backup-simplify]: Simplify 0.5 into 0.5 4.672 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.672 * [taylor]: Taking taylor expansion of 1.0 in k 4.672 * [backup-simplify]: Simplify 1.0 into 1.0 4.672 * [taylor]: Taking taylor expansion of k in k 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.672 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.672 * [taylor]: Taking taylor expansion of 2.0 in k 4.672 * [backup-simplify]: Simplify 2.0 into 2.0 4.672 * [taylor]: Taking taylor expansion of (* n PI) in k 4.672 * [taylor]: Taking taylor expansion of n in k 4.672 * [backup-simplify]: Simplify n into n 4.672 * [taylor]: Taking taylor expansion of PI in k 4.672 * [backup-simplify]: Simplify PI into PI 4.672 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.672 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.672 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.673 * [backup-simplify]: Simplify (- 0) into 0 4.673 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.674 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.674 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.674 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.674 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.674 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.674 * [taylor]: Taking taylor expansion of 0.5 in n 4.674 * [backup-simplify]: Simplify 0.5 into 0.5 4.674 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.674 * [taylor]: Taking taylor expansion of 1.0 in n 4.674 * [backup-simplify]: Simplify 1.0 into 1.0 4.674 * [taylor]: Taking taylor expansion of k in n 4.674 * [backup-simplify]: Simplify k into k 4.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.674 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.674 * [taylor]: Taking taylor expansion of 2.0 in n 4.674 * [backup-simplify]: Simplify 2.0 into 2.0 4.674 * [taylor]: Taking taylor expansion of (* n PI) in n 4.674 * [taylor]: Taking taylor expansion of n in n 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [taylor]: Taking taylor expansion of PI in n 4.675 * [backup-simplify]: Simplify PI into PI 4.675 * [backup-simplify]: Simplify (* 0 PI) into 0 4.675 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.678 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.679 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.680 * [backup-simplify]: Simplify (- k) into (- k) 4.680 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.680 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.682 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.684 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.684 * [taylor]: Taking taylor expansion of 0.5 in n 4.684 * [backup-simplify]: Simplify 0.5 into 0.5 4.684 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.684 * [taylor]: Taking taylor expansion of 1.0 in n 4.684 * [backup-simplify]: Simplify 1.0 into 1.0 4.684 * [taylor]: Taking taylor expansion of k in n 4.684 * [backup-simplify]: Simplify k into k 4.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.684 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.684 * [taylor]: Taking taylor expansion of 2.0 in n 4.684 * [backup-simplify]: Simplify 2.0 into 2.0 4.684 * [taylor]: Taking taylor expansion of (* n PI) in n 4.684 * [taylor]: Taking taylor expansion of n in n 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [taylor]: Taking taylor expansion of PI in n 4.684 * [backup-simplify]: Simplify PI into PI 4.685 * [backup-simplify]: Simplify (* 0 PI) into 0 4.685 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.687 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.689 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.690 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.690 * [backup-simplify]: Simplify (- k) into (- k) 4.690 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.690 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.691 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.692 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.699 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.700 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.700 * [taylor]: Taking taylor expansion of 0.5 in k 4.700 * [backup-simplify]: Simplify 0.5 into 0.5 4.700 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.700 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.700 * [taylor]: Taking taylor expansion of 1.0 in k 4.700 * [backup-simplify]: Simplify 1.0 into 1.0 4.700 * [taylor]: Taking taylor expansion of k in k 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.700 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.700 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.700 * [taylor]: Taking taylor expansion of 2.0 in k 4.700 * [backup-simplify]: Simplify 2.0 into 2.0 4.700 * [taylor]: Taking taylor expansion of PI in k 4.700 * [backup-simplify]: Simplify PI into PI 4.701 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.702 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.702 * [taylor]: Taking taylor expansion of (log n) in k 4.702 * [taylor]: Taking taylor expansion of n in k 4.702 * [backup-simplify]: Simplify n into n 4.702 * [backup-simplify]: Simplify (log n) into (log n) 4.702 * [backup-simplify]: Simplify (- 0) into 0 4.703 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.704 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.705 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.706 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.707 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.708 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.713 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.717 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.719 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.719 * [taylor]: Taking taylor expansion of 0 in k 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.723 * [backup-simplify]: Simplify (+ 0 0) into 0 4.723 * [backup-simplify]: Simplify (- 1) into -1 4.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.725 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.727 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 4.731 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.734 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.736 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.741 * [backup-simplify]: Simplify (- 0) into 0 4.741 * [backup-simplify]: Simplify (+ 0 0) into 0 4.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.743 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.745 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.747 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.748 * [taylor]: Taking taylor expansion of 0 in k 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.755 * [backup-simplify]: Simplify (+ 0 0) into 0 4.755 * [backup-simplify]: Simplify (- 0) into 0 4.756 * [backup-simplify]: Simplify (+ 0 0) into 0 4.758 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.761 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.765 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.770 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.782 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 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)))))) 4.783 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 4.783 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.783 * [taylor]: Taking taylor expansion of 0.5 in k 4.784 * [backup-simplify]: Simplify 0.5 into 0.5 4.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.784 * [taylor]: Taking taylor expansion of 1.0 in k 4.784 * [backup-simplify]: Simplify 1.0 into 1.0 4.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.784 * [taylor]: Taking taylor expansion of k in k 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [backup-simplify]: Simplify (/ 1 1) into 1 4.784 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.784 * [taylor]: Taking taylor expansion of 2.0 in k 4.784 * [backup-simplify]: Simplify 2.0 into 2.0 4.784 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.784 * [taylor]: Taking taylor expansion of PI in k 4.784 * [backup-simplify]: Simplify PI into PI 4.784 * [taylor]: Taking taylor expansion of n in k 4.784 * [backup-simplify]: Simplify n into n 4.785 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.785 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.785 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.785 * [backup-simplify]: Simplify (- 1) into -1 4.786 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.786 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.786 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.787 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.787 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.787 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.787 * [taylor]: Taking taylor expansion of 0.5 in n 4.787 * [backup-simplify]: Simplify 0.5 into 0.5 4.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.787 * [taylor]: Taking taylor expansion of 1.0 in n 4.787 * [backup-simplify]: Simplify 1.0 into 1.0 4.787 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.787 * [taylor]: Taking taylor expansion of k in n 4.787 * [backup-simplify]: Simplify k into k 4.787 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.787 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.787 * [taylor]: Taking taylor expansion of 2.0 in n 4.787 * [backup-simplify]: Simplify 2.0 into 2.0 4.787 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.787 * [taylor]: Taking taylor expansion of PI in n 4.787 * [backup-simplify]: Simplify PI into PI 4.787 * [taylor]: Taking taylor expansion of n in n 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.788 * [backup-simplify]: Simplify (/ PI 1) into PI 4.788 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.789 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.790 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.790 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.790 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.792 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.794 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.794 * [taylor]: Taking taylor expansion of 0.5 in n 4.794 * [backup-simplify]: Simplify 0.5 into 0.5 4.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.794 * [taylor]: Taking taylor expansion of 1.0 in n 4.794 * [backup-simplify]: Simplify 1.0 into 1.0 4.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.794 * [taylor]: Taking taylor expansion of k in n 4.794 * [backup-simplify]: Simplify k into k 4.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.794 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.794 * [taylor]: Taking taylor expansion of 2.0 in n 4.794 * [backup-simplify]: Simplify 2.0 into 2.0 4.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.794 * [taylor]: Taking taylor expansion of PI in n 4.794 * [backup-simplify]: Simplify PI into PI 4.794 * [taylor]: Taking taylor expansion of n in n 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (/ PI 1) into PI 4.795 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.796 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.797 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.797 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.797 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.799 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.801 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.801 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.801 * [taylor]: Taking taylor expansion of 0.5 in k 4.801 * [backup-simplify]: Simplify 0.5 into 0.5 4.801 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.801 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.801 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.801 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.801 * [taylor]: Taking taylor expansion of 2.0 in k 4.801 * [backup-simplify]: Simplify 2.0 into 2.0 4.801 * [taylor]: Taking taylor expansion of PI in k 4.801 * [backup-simplify]: Simplify PI into PI 4.802 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.803 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.803 * [taylor]: Taking taylor expansion of (log n) in k 4.803 * [taylor]: Taking taylor expansion of n in k 4.803 * [backup-simplify]: Simplify n into n 4.803 * [backup-simplify]: Simplify (log n) into (log n) 4.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.803 * [taylor]: Taking taylor expansion of 1.0 in k 4.803 * [backup-simplify]: Simplify 1.0 into 1.0 4.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.803 * [taylor]: Taking taylor expansion of k in k 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (/ 1 1) into 1 4.804 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.805 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.805 * [backup-simplify]: Simplify (- 1) into -1 4.806 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.807 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.808 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.809 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.811 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.815 * [backup-simplify]: Simplify (- 0) into 0 4.815 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.818 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.820 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.820 * [taylor]: Taking taylor expansion of 0 in k 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.827 * [backup-simplify]: Simplify (- 0) into 0 4.827 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.831 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.833 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.833 * [taylor]: Taking taylor expansion of 0 in k 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.841 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.842 * [backup-simplify]: Simplify (- 0) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.845 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.847 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.856 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.856 * [taylor]: Taking taylor expansion of 0 in k 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 4.858 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 4.858 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.858 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.858 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.858 * [taylor]: Taking taylor expansion of 0.5 in k 4.859 * [backup-simplify]: Simplify 0.5 into 0.5 4.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.859 * [taylor]: Taking taylor expansion of k in k 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [backup-simplify]: Simplify (/ 1 1) into 1 4.859 * [taylor]: Taking taylor expansion of 1.0 in k 4.859 * [backup-simplify]: Simplify 1.0 into 1.0 4.859 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.859 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.859 * [taylor]: Taking taylor expansion of -2.0 in k 4.859 * [backup-simplify]: Simplify -2.0 into -2.0 4.859 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.859 * [taylor]: Taking taylor expansion of PI in k 4.859 * [backup-simplify]: Simplify PI into PI 4.859 * [taylor]: Taking taylor expansion of n in k 4.859 * [backup-simplify]: Simplify n into n 4.860 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.860 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.860 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.860 * [backup-simplify]: Simplify (+ 1 0) into 1 4.861 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.861 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.861 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.861 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.861 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.861 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.861 * [taylor]: Taking taylor expansion of 0.5 in n 4.861 * [backup-simplify]: Simplify 0.5 into 0.5 4.861 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.861 * [taylor]: Taking taylor expansion of k in n 4.861 * [backup-simplify]: Simplify k into k 4.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.862 * [taylor]: Taking taylor expansion of 1.0 in n 4.862 * [backup-simplify]: Simplify 1.0 into 1.0 4.862 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.862 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.862 * [taylor]: Taking taylor expansion of -2.0 in n 4.862 * [backup-simplify]: Simplify -2.0 into -2.0 4.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.862 * [taylor]: Taking taylor expansion of PI in n 4.862 * [backup-simplify]: Simplify PI into PI 4.862 * [taylor]: Taking taylor expansion of n in n 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [backup-simplify]: Simplify (/ PI 1) into PI 4.863 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.864 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.864 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.864 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.867 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.868 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.868 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.868 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.868 * [taylor]: Taking taylor expansion of 0.5 in n 4.868 * [backup-simplify]: Simplify 0.5 into 0.5 4.868 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.869 * [taylor]: Taking taylor expansion of k in n 4.869 * [backup-simplify]: Simplify k into k 4.869 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.869 * [taylor]: Taking taylor expansion of 1.0 in n 4.869 * [backup-simplify]: Simplify 1.0 into 1.0 4.869 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.869 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.869 * [taylor]: Taking taylor expansion of -2.0 in n 4.869 * [backup-simplify]: Simplify -2.0 into -2.0 4.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.869 * [taylor]: Taking taylor expansion of PI in n 4.869 * [backup-simplify]: Simplify PI into PI 4.869 * [taylor]: Taking taylor expansion of n in n 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (/ PI 1) into PI 4.870 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.871 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.871 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.871 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.874 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.875 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.876 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.876 * [taylor]: Taking taylor expansion of 0.5 in k 4.876 * [backup-simplify]: Simplify 0.5 into 0.5 4.876 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.876 * [taylor]: Taking taylor expansion of k in k 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (/ 1 1) into 1 4.877 * [taylor]: Taking taylor expansion of 1.0 in k 4.877 * [backup-simplify]: Simplify 1.0 into 1.0 4.877 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.877 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.877 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.877 * [taylor]: Taking taylor expansion of -2.0 in k 4.877 * [backup-simplify]: Simplify -2.0 into -2.0 4.877 * [taylor]: Taking taylor expansion of PI in k 4.877 * [backup-simplify]: Simplify PI into PI 4.877 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.878 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.878 * [taylor]: Taking taylor expansion of (log n) in k 4.878 * [taylor]: Taking taylor expansion of n in k 4.878 * [backup-simplify]: Simplify n into n 4.879 * [backup-simplify]: Simplify (log n) into (log n) 4.879 * [backup-simplify]: Simplify (+ 1 0) into 1 4.879 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.880 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.881 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.883 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.884 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.885 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.889 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.893 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.895 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.895 * [taylor]: Taking taylor expansion of 0 in k 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.901 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.902 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.904 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.905 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.908 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.908 * [taylor]: Taking taylor expansion of 0 in k 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.918 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.918 * [backup-simplify]: Simplify (+ 0 0) into 0 4.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.923 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.926 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.926 * [taylor]: Taking taylor expansion of 0 in k 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.928 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.928 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.928 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.928 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.928 * [taylor]: Taking taylor expansion of 1.0 in k 4.928 * [backup-simplify]: Simplify 1.0 into 1.0 4.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.928 * [taylor]: Taking taylor expansion of k in k 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (/ 1 1) into 1 4.929 * [backup-simplify]: Simplify (sqrt 0) into 0 4.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.931 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.931 * [taylor]: Taking taylor expansion of 1.0 in k 4.931 * [backup-simplify]: Simplify 1.0 into 1.0 4.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.931 * [taylor]: Taking taylor expansion of k in k 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.932 * [backup-simplify]: Simplify (sqrt 0) into 0 4.933 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.934 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.934 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.942 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.942 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.949 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.950 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.951 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.952 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.952 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.952 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.952 * [taylor]: Taking taylor expansion of 1.0 in k 4.952 * [backup-simplify]: Simplify 1.0 into 1.0 4.952 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.952 * [taylor]: Taking taylor expansion of k in k 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify (sqrt 0) into 0 4.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.954 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.954 * [taylor]: Taking taylor expansion of 1.0 in k 4.954 * [backup-simplify]: Simplify 1.0 into 1.0 4.954 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.954 * [taylor]: Taking taylor expansion of k in k 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (sqrt 0) into 0 4.956 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.956 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.956 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.958 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.961 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.963 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.964 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.970 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.971 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.972 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 4.973 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.973 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.973 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.973 * [taylor]: Taking taylor expansion of 1.0 in k 4.973 * [backup-simplify]: Simplify 1.0 into 1.0 4.973 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.973 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.973 * [taylor]: Taking taylor expansion of -1 in k 4.973 * [backup-simplify]: Simplify -1 into -1 4.973 * [taylor]: Taking taylor expansion of k in k 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [backup-simplify]: Simplify (/ -1 1) into -1 4.974 * [backup-simplify]: Simplify (sqrt 0) into 0 4.975 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.976 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.976 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.976 * [taylor]: Taking taylor expansion of 1.0 in k 4.976 * [backup-simplify]: Simplify 1.0 into 1.0 4.976 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.976 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.976 * [taylor]: Taking taylor expansion of -1 in k 4.976 * [backup-simplify]: Simplify -1 into -1 4.976 * [taylor]: Taking taylor expansion of k in k 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (/ -1 1) into -1 4.977 * [backup-simplify]: Simplify (sqrt 0) into 0 4.978 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.979 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.979 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.985 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.986 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.995 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.995 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.996 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 4.996 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.997 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.997 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.997 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.997 * [taylor]: Taking taylor expansion of 2.0 in n 4.997 * [backup-simplify]: Simplify 2.0 into 2.0 4.997 * [taylor]: Taking taylor expansion of (* n PI) in n 4.997 * [taylor]: Taking taylor expansion of n in n 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 1 into 1 4.997 * [taylor]: Taking taylor expansion of PI in n 4.997 * [backup-simplify]: Simplify PI into PI 4.997 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.997 * [taylor]: Taking taylor expansion of 2.0 in n 4.997 * [backup-simplify]: Simplify 2.0 into 2.0 4.997 * [taylor]: Taking taylor expansion of (* n PI) in n 4.997 * [taylor]: Taking taylor expansion of n in n 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 1 into 1 4.997 * [taylor]: Taking taylor expansion of PI in n 4.997 * [backup-simplify]: Simplify PI into PI 4.998 * [backup-simplify]: Simplify (* 0 PI) into 0 4.998 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.998 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.001 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.001 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 5.003 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.014 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 5.016 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 5.019 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 5.022 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 5.023 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 5.023 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.023 * [taylor]: Taking taylor expansion of 2.0 in n 5.023 * [backup-simplify]: Simplify 2.0 into 2.0 5.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.023 * [taylor]: Taking taylor expansion of PI in n 5.023 * [backup-simplify]: Simplify PI into PI 5.023 * [taylor]: Taking taylor expansion of n in n 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (/ PI 1) into PI 5.024 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.024 * [taylor]: Taking taylor expansion of 2.0 in n 5.024 * [backup-simplify]: Simplify 2.0 into 2.0 5.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.024 * [taylor]: Taking taylor expansion of PI in n 5.024 * [backup-simplify]: Simplify PI into PI 5.024 * [taylor]: Taking taylor expansion of n in n 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (/ PI 1) into PI 5.024 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.025 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.027 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.031 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 5.034 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 5.034 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.034 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.034 * [taylor]: Taking taylor expansion of -2.0 in n 5.034 * [backup-simplify]: Simplify -2.0 into -2.0 5.034 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.034 * [taylor]: Taking taylor expansion of PI in n 5.034 * [backup-simplify]: Simplify PI into PI 5.034 * [taylor]: Taking taylor expansion of n in n 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ PI 1) into PI 5.035 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.035 * [taylor]: Taking taylor expansion of -2.0 in n 5.035 * [backup-simplify]: Simplify -2.0 into -2.0 5.035 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.035 * [taylor]: Taking taylor expansion of PI in n 5.035 * [backup-simplify]: Simplify PI into PI 5.035 * [taylor]: Taking taylor expansion of n in n 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ PI 1) into PI 5.036 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.036 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.037 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.040 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.041 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.041 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.044 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 5.045 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.045 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 5.045 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 5.045 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 5.045 * [taylor]: Taking taylor expansion of 1.0 in n 5.045 * [backup-simplify]: Simplify 1.0 into 1.0 5.045 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 5.045 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.045 * [taylor]: Taking taylor expansion of k in n 5.045 * [backup-simplify]: Simplify k into k 5.046 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.046 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 5.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 5.046 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.046 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.046 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.046 * [taylor]: Taking taylor expansion of 0.5 in n 5.046 * [backup-simplify]: Simplify 0.5 into 0.5 5.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.046 * [taylor]: Taking taylor expansion of 1.0 in n 5.046 * [backup-simplify]: Simplify 1.0 into 1.0 5.046 * [taylor]: Taking taylor expansion of k in n 5.046 * [backup-simplify]: Simplify k into k 5.046 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.046 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.046 * [taylor]: Taking taylor expansion of 2.0 in n 5.046 * [backup-simplify]: Simplify 2.0 into 2.0 5.046 * [taylor]: Taking taylor expansion of (* n PI) in n 5.046 * [taylor]: Taking taylor expansion of n in n 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [taylor]: Taking taylor expansion of PI in n 5.046 * [backup-simplify]: Simplify PI into PI 5.046 * [backup-simplify]: Simplify (* 0 PI) into 0 5.047 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.048 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.049 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.049 * [backup-simplify]: Simplify (- k) into (- k) 5.049 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.049 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.051 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 5.051 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 5.051 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 5.051 * [taylor]: Taking taylor expansion of 1.0 in k 5.052 * [backup-simplify]: Simplify 1.0 into 1.0 5.052 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 5.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.052 * [taylor]: Taking taylor expansion of k in k 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (/ 1 1) into 1 5.052 * [backup-simplify]: Simplify (sqrt 0) into 0 5.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.053 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.053 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.053 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.053 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.053 * [taylor]: Taking taylor expansion of 0.5 in k 5.053 * [backup-simplify]: Simplify 0.5 into 0.5 5.053 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.053 * [taylor]: Taking taylor expansion of 1.0 in k 5.053 * [backup-simplify]: Simplify 1.0 into 1.0 5.053 * [taylor]: Taking taylor expansion of k in k 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 1 into 1 5.053 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.053 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.053 * [taylor]: Taking taylor expansion of 2.0 in k 5.053 * [backup-simplify]: Simplify 2.0 into 2.0 5.053 * [taylor]: Taking taylor expansion of (* n PI) in k 5.053 * [taylor]: Taking taylor expansion of n in k 5.053 * [backup-simplify]: Simplify n into n 5.053 * [taylor]: Taking taylor expansion of PI in k 5.053 * [backup-simplify]: Simplify PI into PI 5.053 * [backup-simplify]: Simplify (* n PI) into (* n PI) 5.053 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 5.053 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 5.054 * [backup-simplify]: Simplify (- 0) into 0 5.054 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.054 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.054 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 5.054 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 5.054 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 5.054 * [taylor]: Taking taylor expansion of 1.0 in k 5.054 * [backup-simplify]: Simplify 1.0 into 1.0 5.055 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 5.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.055 * [taylor]: Taking taylor expansion of k in k 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (/ 1 1) into 1 5.055 * [backup-simplify]: Simplify (sqrt 0) into 0 5.056 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.056 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.056 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.056 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.056 * [taylor]: Taking taylor expansion of 0.5 in k 5.056 * [backup-simplify]: Simplify 0.5 into 0.5 5.056 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.056 * [taylor]: Taking taylor expansion of 1.0 in k 5.056 * [backup-simplify]: Simplify 1.0 into 1.0 5.056 * [taylor]: Taking taylor expansion of k in k 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.056 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.056 * [taylor]: Taking taylor expansion of 2.0 in k 5.056 * [backup-simplify]: Simplify 2.0 into 2.0 5.056 * [taylor]: Taking taylor expansion of (* n PI) in k 5.056 * [taylor]: Taking taylor expansion of n in k 5.056 * [backup-simplify]: Simplify n into n 5.056 * [taylor]: Taking taylor expansion of PI in k 5.056 * [backup-simplify]: Simplify PI into PI 5.056 * [backup-simplify]: Simplify (* n PI) into (* n PI) 5.056 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 5.056 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 5.057 * [backup-simplify]: Simplify (- 0) into 0 5.057 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.057 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.057 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 5.057 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 5.057 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 5.058 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.058 * [taylor]: Taking taylor expansion of 0 in n 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 5.058 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 5.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 5.059 * [backup-simplify]: Simplify (- 1) into -1 5.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.061 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 5.061 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.062 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 5.064 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.064 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.064 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.064 * [taylor]: Taking taylor expansion of +nan.0 in n 5.064 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.064 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.064 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.064 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.064 * [taylor]: Taking taylor expansion of 0.5 in n 5.064 * [backup-simplify]: Simplify 0.5 into 0.5 5.064 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.064 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.064 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.064 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.064 * [taylor]: Taking taylor expansion of 1.0 in n 5.064 * [backup-simplify]: Simplify 1.0 into 1.0 5.064 * [taylor]: Taking taylor expansion of (log PI) in n 5.064 * [taylor]: Taking taylor expansion of PI in n 5.064 * [backup-simplify]: Simplify PI into PI 5.064 * [backup-simplify]: Simplify (log PI) into (log PI) 5.065 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.066 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.066 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.066 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.066 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.066 * [taylor]: Taking taylor expansion of 1.0 in n 5.066 * [backup-simplify]: Simplify 1.0 into 1.0 5.066 * [taylor]: Taking taylor expansion of (log n) in n 5.066 * [taylor]: Taking taylor expansion of n in n 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (log 1) into 0 5.066 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.066 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.067 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.067 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.067 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.067 * [taylor]: Taking taylor expansion of 1.0 in n 5.067 * [backup-simplify]: Simplify 1.0 into 1.0 5.067 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.067 * [taylor]: Taking taylor expansion of 2.0 in n 5.067 * [backup-simplify]: Simplify 2.0 into 2.0 5.067 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.067 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.068 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.069 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.069 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.070 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.071 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.072 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.073 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 5.074 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 5.075 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 5.076 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 5.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 5.077 * [backup-simplify]: Simplify (- 0) into 0 5.077 * [backup-simplify]: Simplify (+ 0 0) into 0 5.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 5.079 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.084 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 5.087 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 5.087 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 5.087 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 5.087 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.087 * [taylor]: Taking taylor expansion of +nan.0 in n 5.087 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.087 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.087 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.087 * [taylor]: Taking taylor expansion of 0.5 in n 5.087 * [backup-simplify]: Simplify 0.5 into 0.5 5.087 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.087 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.087 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.087 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.087 * [taylor]: Taking taylor expansion of 1.0 in n 5.087 * [backup-simplify]: Simplify 1.0 into 1.0 5.087 * [taylor]: Taking taylor expansion of (log PI) in n 5.087 * [taylor]: Taking taylor expansion of PI in n 5.087 * [backup-simplify]: Simplify PI into PI 5.088 * [backup-simplify]: Simplify (log PI) into (log PI) 5.088 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.089 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.089 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.089 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.089 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.089 * [taylor]: Taking taylor expansion of 1.0 in n 5.089 * [backup-simplify]: Simplify 1.0 into 1.0 5.089 * [taylor]: Taking taylor expansion of (log n) in n 5.089 * [taylor]: Taking taylor expansion of n in n 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.090 * [backup-simplify]: Simplify (log 1) into 0 5.090 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.090 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.090 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.090 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.090 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.090 * [taylor]: Taking taylor expansion of 1.0 in n 5.090 * [backup-simplify]: Simplify 1.0 into 1.0 5.090 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.090 * [taylor]: Taking taylor expansion of 2.0 in n 5.090 * [backup-simplify]: Simplify 2.0 into 2.0 5.091 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.091 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.092 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.093 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.093 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.094 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.095 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.096 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.096 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 5.096 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 5.096 * [taylor]: Taking taylor expansion of +nan.0 in n 5.096 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.096 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 5.096 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.096 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.096 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.096 * [taylor]: Taking taylor expansion of 0.5 in n 5.096 * [backup-simplify]: Simplify 0.5 into 0.5 5.096 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.096 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.096 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.096 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.096 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.096 * [taylor]: Taking taylor expansion of 1.0 in n 5.096 * [backup-simplify]: Simplify 1.0 into 1.0 5.096 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.096 * [taylor]: Taking taylor expansion of 2.0 in n 5.096 * [backup-simplify]: Simplify 2.0 into 2.0 5.097 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.097 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.098 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.098 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.098 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.098 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.098 * [taylor]: Taking taylor expansion of 1.0 in n 5.098 * [backup-simplify]: Simplify 1.0 into 1.0 5.098 * [taylor]: Taking taylor expansion of (log PI) in n 5.098 * [taylor]: Taking taylor expansion of PI in n 5.098 * [backup-simplify]: Simplify PI into PI 5.098 * [backup-simplify]: Simplify (log PI) into (log PI) 5.099 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.100 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.100 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.100 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.100 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.100 * [taylor]: Taking taylor expansion of 1.0 in n 5.100 * [backup-simplify]: Simplify 1.0 into 1.0 5.100 * [taylor]: Taking taylor expansion of (log n) in n 5.100 * [taylor]: Taking taylor expansion of n in n 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (log 1) into 0 5.101 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.101 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.101 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.101 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.102 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 5.103 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 5.104 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 5.106 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.106 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.106 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.106 * [taylor]: Taking taylor expansion of 2.0 in n 5.106 * [backup-simplify]: Simplify 2.0 into 2.0 5.106 * [taylor]: Taking taylor expansion of (* n PI) in n 5.106 * [taylor]: Taking taylor expansion of n in n 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [taylor]: Taking taylor expansion of PI in n 5.106 * [backup-simplify]: Simplify PI into PI 5.112 * [backup-simplify]: Simplify (* 0 PI) into 0 5.113 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.114 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.116 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.117 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.118 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 5.120 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.122 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.125 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.127 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 5.133 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.139 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.145 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 5.148 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 5.150 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 5.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.152 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.152 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 5.153 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 5.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.156 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 5.158 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 5.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 5.163 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 5.165 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 5.167 * [backup-simplify]: Simplify (- 0) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 5.173 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 5.173 * [backup-simplify]: Simplify (- 0) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 5.179 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.189 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 5.196 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 5.196 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 5.196 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 5.196 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 5.196 * [taylor]: Taking taylor expansion of +nan.0 in n 5.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.196 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.197 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.197 * [taylor]: Taking taylor expansion of 0.5 in n 5.197 * [backup-simplify]: Simplify 0.5 into 0.5 5.197 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.197 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.197 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.197 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.197 * [taylor]: Taking taylor expansion of 1.0 in n 5.197 * [backup-simplify]: Simplify 1.0 into 1.0 5.197 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.197 * [taylor]: Taking taylor expansion of 2.0 in n 5.197 * [backup-simplify]: Simplify 2.0 into 2.0 5.197 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.198 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.198 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.198 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.199 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.199 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.199 * [taylor]: Taking taylor expansion of 1.0 in n 5.199 * [backup-simplify]: Simplify 1.0 into 1.0 5.199 * [taylor]: Taking taylor expansion of (log n) in n 5.199 * [taylor]: Taking taylor expansion of n in n 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (log 1) into 0 5.199 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.199 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.199 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.199 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.199 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.199 * [taylor]: Taking taylor expansion of 1.0 in n 5.199 * [backup-simplify]: Simplify 1.0 into 1.0 5.199 * [taylor]: Taking taylor expansion of (log PI) in n 5.199 * [taylor]: Taking taylor expansion of PI in n 5.199 * [backup-simplify]: Simplify PI into PI 5.200 * [backup-simplify]: Simplify (log PI) into (log PI) 5.200 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.201 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.202 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.202 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 5.203 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 5.204 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 5.205 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.205 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 5.205 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 5.205 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 5.205 * [taylor]: Taking taylor expansion of +nan.0 in n 5.205 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.205 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 5.205 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.205 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.205 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.205 * [taylor]: Taking taylor expansion of 0.5 in n 5.205 * [backup-simplify]: Simplify 0.5 into 0.5 5.205 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.205 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.205 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.205 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.205 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.205 * [taylor]: Taking taylor expansion of 1.0 in n 5.205 * [backup-simplify]: Simplify 1.0 into 1.0 5.205 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.205 * [taylor]: Taking taylor expansion of 2.0 in n 5.205 * [backup-simplify]: Simplify 2.0 into 2.0 5.206 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.206 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.207 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.207 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.207 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.207 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.207 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.207 * [taylor]: Taking taylor expansion of 1.0 in n 5.207 * [backup-simplify]: Simplify 1.0 into 1.0 5.207 * [taylor]: Taking taylor expansion of (log PI) in n 5.207 * [taylor]: Taking taylor expansion of PI in n 5.207 * [backup-simplify]: Simplify PI into PI 5.208 * [backup-simplify]: Simplify (log PI) into (log PI) 5.208 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.209 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.209 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.209 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.209 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.209 * [taylor]: Taking taylor expansion of 1.0 in n 5.209 * [backup-simplify]: Simplify 1.0 into 1.0 5.209 * [taylor]: Taking taylor expansion of (log n) in n 5.209 * [taylor]: Taking taylor expansion of n in n 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (log 1) into 0 5.210 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.210 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.210 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.210 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.211 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 5.212 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 5.213 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 5.214 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.214 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.214 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.214 * [taylor]: Taking taylor expansion of 2.0 in n 5.214 * [backup-simplify]: Simplify 2.0 into 2.0 5.214 * [taylor]: Taking taylor expansion of (* n PI) in n 5.214 * [taylor]: Taking taylor expansion of n in n 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [taylor]: Taking taylor expansion of PI in n 5.214 * [backup-simplify]: Simplify PI into PI 5.214 * [backup-simplify]: Simplify (* 0 PI) into 0 5.215 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.216 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.217 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.217 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 5.217 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 5.217 * [taylor]: Taking taylor expansion of +nan.0 in n 5.217 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.217 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 5.217 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.217 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.217 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.217 * [taylor]: Taking taylor expansion of 0.5 in n 5.217 * [backup-simplify]: Simplify 0.5 into 0.5 5.217 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.217 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.217 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.217 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.217 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.217 * [taylor]: Taking taylor expansion of 1.0 in n 5.217 * [backup-simplify]: Simplify 1.0 into 1.0 5.217 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.217 * [taylor]: Taking taylor expansion of 2.0 in n 5.217 * [backup-simplify]: Simplify 2.0 into 2.0 5.218 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.218 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.220 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.220 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.220 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.220 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.220 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.220 * [taylor]: Taking taylor expansion of 1.0 in n 5.220 * [backup-simplify]: Simplify 1.0 into 1.0 5.220 * [taylor]: Taking taylor expansion of (log PI) in n 5.220 * [taylor]: Taking taylor expansion of PI in n 5.220 * [backup-simplify]: Simplify PI into PI 5.221 * [backup-simplify]: Simplify (log PI) into (log PI) 5.222 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.224 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.224 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.224 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.224 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.224 * [taylor]: Taking taylor expansion of 1.0 in n 5.224 * [backup-simplify]: Simplify 1.0 into 1.0 5.224 * [taylor]: Taking taylor expansion of (log n) in n 5.224 * [taylor]: Taking taylor expansion of n in n 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.225 * [backup-simplify]: Simplify (log 1) into 0 5.225 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.225 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.225 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.226 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.227 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 5.229 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 5.230 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 5.232 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.233 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 5.233 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.233 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.233 * [taylor]: Taking taylor expansion of 2.0 in n 5.233 * [backup-simplify]: Simplify 2.0 into 2.0 5.233 * [taylor]: Taking taylor expansion of (* n PI) in n 5.233 * [taylor]: Taking taylor expansion of n in n 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [taylor]: Taking taylor expansion of PI in n 5.233 * [backup-simplify]: Simplify PI into PI 5.233 * [backup-simplify]: Simplify (* 0 PI) into 0 5.234 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.236 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.237 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.238 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.240 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.241 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.243 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.254 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.257 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.258 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.260 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.262 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 5.265 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.268 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.271 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.278 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 5.286 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 5.295 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 5.308 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 5.320 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 5.336 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 5.337 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 5.337 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 5.337 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.337 * [taylor]: Taking taylor expansion of 1.0 in n 5.337 * [backup-simplify]: Simplify 1.0 into 1.0 5.337 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.337 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.337 * [taylor]: Taking taylor expansion of k in n 5.337 * [backup-simplify]: Simplify k into k 5.337 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.338 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.338 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.338 * [taylor]: Taking taylor expansion of 0.5 in n 5.338 * [backup-simplify]: Simplify 0.5 into 0.5 5.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.338 * [taylor]: Taking taylor expansion of 1.0 in n 5.338 * [backup-simplify]: Simplify 1.0 into 1.0 5.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.338 * [taylor]: Taking taylor expansion of k in n 5.338 * [backup-simplify]: Simplify k into k 5.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.338 * [taylor]: Taking taylor expansion of 2.0 in n 5.338 * [backup-simplify]: Simplify 2.0 into 2.0 5.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.338 * [taylor]: Taking taylor expansion of PI in n 5.338 * [backup-simplify]: Simplify PI into PI 5.338 * [taylor]: Taking taylor expansion of n in n 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify 1 into 1 5.338 * [backup-simplify]: Simplify (/ PI 1) into PI 5.339 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.339 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.339 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.339 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.339 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.340 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.341 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.342 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.342 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.342 * [taylor]: Taking taylor expansion of 1.0 in k 5.342 * [backup-simplify]: Simplify 1.0 into 1.0 5.342 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.342 * [taylor]: Taking taylor expansion of k in k 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (sqrt 0) into 0 5.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.343 * [taylor]: Taking taylor expansion of 0.5 in k 5.343 * [backup-simplify]: Simplify 0.5 into 0.5 5.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.343 * [taylor]: Taking taylor expansion of 1.0 in k 5.343 * [backup-simplify]: Simplify 1.0 into 1.0 5.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.343 * [taylor]: Taking taylor expansion of k in k 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (/ 1 1) into 1 5.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.344 * [taylor]: Taking taylor expansion of 2.0 in k 5.344 * [backup-simplify]: Simplify 2.0 into 2.0 5.344 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.344 * [taylor]: Taking taylor expansion of PI in k 5.344 * [backup-simplify]: Simplify PI into PI 5.344 * [taylor]: Taking taylor expansion of n in k 5.344 * [backup-simplify]: Simplify n into n 5.344 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.344 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.344 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.344 * [backup-simplify]: Simplify (- 1) into -1 5.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.345 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.345 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.345 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 5.345 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.345 * [taylor]: Taking taylor expansion of 1.0 in k 5.345 * [backup-simplify]: Simplify 1.0 into 1.0 5.345 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.345 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.345 * [taylor]: Taking taylor expansion of k in k 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (sqrt 0) into 0 5.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.346 * [taylor]: Taking taylor expansion of 0.5 in k 5.346 * [backup-simplify]: Simplify 0.5 into 0.5 5.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.346 * [taylor]: Taking taylor expansion of 1.0 in k 5.346 * [backup-simplify]: Simplify 1.0 into 1.0 5.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.346 * [taylor]: Taking taylor expansion of k in k 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.347 * [backup-simplify]: Simplify (/ 1 1) into 1 5.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.347 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.347 * [taylor]: Taking taylor expansion of 2.0 in k 5.347 * [backup-simplify]: Simplify 2.0 into 2.0 5.347 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.347 * [taylor]: Taking taylor expansion of PI in k 5.347 * [backup-simplify]: Simplify PI into PI 5.347 * [taylor]: Taking taylor expansion of n in k 5.347 * [backup-simplify]: Simplify n into n 5.347 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.347 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.347 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.348 * [backup-simplify]: Simplify (- 1) into -1 5.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.349 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.349 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.349 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 5.350 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 5.350 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.350 * [taylor]: Taking taylor expansion of 0 in n 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.352 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.352 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.352 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.352 * [taylor]: Taking taylor expansion of +nan.0 in n 5.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.352 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.352 * [taylor]: Taking taylor expansion of 0.5 in n 5.352 * [backup-simplify]: Simplify 0.5 into 0.5 5.352 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.352 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.352 * [taylor]: Taking taylor expansion of 2.0 in n 5.352 * [backup-simplify]: Simplify 2.0 into 2.0 5.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.352 * [taylor]: Taking taylor expansion of PI in n 5.352 * [backup-simplify]: Simplify PI into PI 5.352 * [taylor]: Taking taylor expansion of n in n 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.353 * [backup-simplify]: Simplify (/ PI 1) into PI 5.354 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.355 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.355 * [taylor]: Taking taylor expansion of 1.0 in n 5.355 * [backup-simplify]: Simplify 1.0 into 1.0 5.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.355 * [taylor]: Taking taylor expansion of k in n 5.355 * [backup-simplify]: Simplify k into k 5.355 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.357 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.357 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.358 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.365 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.366 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.368 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 5.369 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.371 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.371 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.377 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.377 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.377 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.377 * [taylor]: Taking taylor expansion of +nan.0 in n 5.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.377 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.377 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.377 * [taylor]: Taking taylor expansion of 0.5 in n 5.377 * [backup-simplify]: Simplify 0.5 into 0.5 5.377 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.377 * [taylor]: Taking taylor expansion of 2.0 in n 5.377 * [backup-simplify]: Simplify 2.0 into 2.0 5.377 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.377 * [taylor]: Taking taylor expansion of PI in n 5.378 * [backup-simplify]: Simplify PI into PI 5.378 * [taylor]: Taking taylor expansion of n in n 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (/ PI 1) into PI 5.379 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.380 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.380 * [taylor]: Taking taylor expansion of 1.0 in n 5.380 * [backup-simplify]: Simplify 1.0 into 1.0 5.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.380 * [taylor]: Taking taylor expansion of k in n 5.380 * [backup-simplify]: Simplify k into k 5.380 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.382 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.382 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.383 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.385 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.386 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.387 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 5.389 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.390 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.392 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.392 * [backup-simplify]: Simplify (- 0) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.398 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 5.400 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.401 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 5.401 * [backup-simplify]: Simplify (- 0) into 0 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.406 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.406 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.406 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.406 * [taylor]: Taking taylor expansion of +nan.0 in n 5.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.406 * [taylor]: Taking taylor expansion of 0.5 in n 5.406 * [backup-simplify]: Simplify 0.5 into 0.5 5.406 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.406 * [taylor]: Taking taylor expansion of 2.0 in n 5.406 * [backup-simplify]: Simplify 2.0 into 2.0 5.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.406 * [taylor]: Taking taylor expansion of PI in n 5.406 * [backup-simplify]: Simplify PI into PI 5.406 * [taylor]: Taking taylor expansion of n in n 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [backup-simplify]: Simplify (/ PI 1) into PI 5.407 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.407 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.407 * [taylor]: Taking taylor expansion of 1.0 in n 5.407 * [backup-simplify]: Simplify 1.0 into 1.0 5.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.407 * [taylor]: Taking taylor expansion of k in n 5.407 * [backup-simplify]: Simplify k into k 5.407 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.408 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.408 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.408 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.409 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.410 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.411 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.411 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 5.412 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.413 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.416 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 5.416 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 5.416 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 5.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.416 * [taylor]: Taking taylor expansion of 1.0 in n 5.416 * [backup-simplify]: Simplify 1.0 into 1.0 5.416 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.416 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.416 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.416 * [taylor]: Taking taylor expansion of 0.5 in n 5.416 * [backup-simplify]: Simplify 0.5 into 0.5 5.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.417 * [taylor]: Taking taylor expansion of k in n 5.417 * [backup-simplify]: Simplify k into k 5.417 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.417 * [taylor]: Taking taylor expansion of 1.0 in n 5.417 * [backup-simplify]: Simplify 1.0 into 1.0 5.417 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.417 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.417 * [taylor]: Taking taylor expansion of -2.0 in n 5.417 * [backup-simplify]: Simplify -2.0 into -2.0 5.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.417 * [taylor]: Taking taylor expansion of PI in n 5.417 * [backup-simplify]: Simplify PI into PI 5.417 * [taylor]: Taking taylor expansion of n in n 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (/ PI 1) into PI 5.418 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.418 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.418 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.418 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.420 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.421 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.421 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.421 * [taylor]: Taking taylor expansion of -1 in n 5.421 * [backup-simplify]: Simplify -1 into -1 5.421 * [taylor]: Taking taylor expansion of k in n 5.421 * [backup-simplify]: Simplify k into k 5.421 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.421 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.421 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.422 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 5.422 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.422 * [taylor]: Taking taylor expansion of 1.0 in k 5.422 * [backup-simplify]: Simplify 1.0 into 1.0 5.422 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.422 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.422 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.422 * [taylor]: Taking taylor expansion of 0.5 in k 5.422 * [backup-simplify]: Simplify 0.5 into 0.5 5.422 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.422 * [taylor]: Taking taylor expansion of k in k 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [taylor]: Taking taylor expansion of 1.0 in k 5.423 * [backup-simplify]: Simplify 1.0 into 1.0 5.423 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.423 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.423 * [taylor]: Taking taylor expansion of -2.0 in k 5.423 * [backup-simplify]: Simplify -2.0 into -2.0 5.423 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.423 * [taylor]: Taking taylor expansion of PI in k 5.423 * [backup-simplify]: Simplify PI into PI 5.423 * [taylor]: Taking taylor expansion of n in k 5.423 * [backup-simplify]: Simplify n into n 5.423 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.423 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.423 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.424 * [backup-simplify]: Simplify (+ 1 0) into 1 5.424 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.424 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.424 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.424 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.424 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.424 * [taylor]: Taking taylor expansion of -1 in k 5.424 * [backup-simplify]: Simplify -1 into -1 5.424 * [taylor]: Taking taylor expansion of k in k 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (/ -1 1) into -1 5.425 * [backup-simplify]: Simplify (sqrt 0) into 0 5.426 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.426 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.426 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.426 * [taylor]: Taking taylor expansion of 1.0 in k 5.426 * [backup-simplify]: Simplify 1.0 into 1.0 5.426 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.426 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.426 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.426 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.426 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.426 * [taylor]: Taking taylor expansion of 0.5 in k 5.426 * [backup-simplify]: Simplify 0.5 into 0.5 5.426 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.426 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.426 * [taylor]: Taking taylor expansion of k in k 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.426 * [backup-simplify]: Simplify (/ 1 1) into 1 5.426 * [taylor]: Taking taylor expansion of 1.0 in k 5.426 * [backup-simplify]: Simplify 1.0 into 1.0 5.427 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.427 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.427 * [taylor]: Taking taylor expansion of -2.0 in k 5.427 * [backup-simplify]: Simplify -2.0 into -2.0 5.427 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.427 * [taylor]: Taking taylor expansion of PI in k 5.427 * [backup-simplify]: Simplify PI into PI 5.427 * [taylor]: Taking taylor expansion of n in k 5.427 * [backup-simplify]: Simplify n into n 5.427 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.427 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.427 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.428 * [backup-simplify]: Simplify (+ 1 0) into 1 5.428 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.428 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.428 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.429 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.429 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.429 * [taylor]: Taking taylor expansion of -1 in k 5.429 * [backup-simplify]: Simplify -1 into -1 5.429 * [taylor]: Taking taylor expansion of k in k 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [backup-simplify]: Simplify (/ -1 1) into -1 5.430 * [backup-simplify]: Simplify (sqrt 0) into 0 5.431 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.431 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.432 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.432 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.432 * [taylor]: Taking taylor expansion of +nan.0 in n 5.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.432 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.432 * [taylor]: Taking taylor expansion of 0.5 in n 5.432 * [backup-simplify]: Simplify 0.5 into 0.5 5.432 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.432 * [taylor]: Taking taylor expansion of k in n 5.432 * [backup-simplify]: Simplify k into k 5.432 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.432 * [taylor]: Taking taylor expansion of 1.0 in n 5.432 * [backup-simplify]: Simplify 1.0 into 1.0 5.432 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.433 * [taylor]: Taking taylor expansion of -2.0 in n 5.433 * [backup-simplify]: Simplify -2.0 into -2.0 5.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.433 * [taylor]: Taking taylor expansion of PI in n 5.433 * [backup-simplify]: Simplify PI into PI 5.433 * [taylor]: Taking taylor expansion of n in n 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [backup-simplify]: Simplify (/ PI 1) into PI 5.434 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.435 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.435 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.438 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.440 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.441 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.442 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.444 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.449 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.450 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.450 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.451 * [taylor]: Taking taylor expansion of +nan.0 in n 5.451 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.451 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.451 * [taylor]: Taking taylor expansion of 0.5 in n 5.451 * [backup-simplify]: Simplify 0.5 into 0.5 5.451 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.451 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.451 * [taylor]: Taking taylor expansion of k in n 5.451 * [backup-simplify]: Simplify k into k 5.451 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.451 * [taylor]: Taking taylor expansion of 1.0 in n 5.451 * [backup-simplify]: Simplify 1.0 into 1.0 5.451 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.451 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.451 * [taylor]: Taking taylor expansion of -2.0 in n 5.451 * [backup-simplify]: Simplify -2.0 into -2.0 5.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.451 * [taylor]: Taking taylor expansion of PI in n 5.451 * [backup-simplify]: Simplify PI into PI 5.451 * [taylor]: Taking taylor expansion of n in n 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.452 * [backup-simplify]: Simplify (/ PI 1) into PI 5.452 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.453 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.453 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.455 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.456 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.456 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.457 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.458 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.459 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.461 * [backup-simplify]: Simplify (+ 0 0) into 0 5.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.463 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 5.465 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.466 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.470 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.471 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.471 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.471 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.471 * [taylor]: Taking taylor expansion of +nan.0 in n 5.471 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.471 * [taylor]: Taking taylor expansion of 0.5 in n 5.471 * [backup-simplify]: Simplify 0.5 into 0.5 5.471 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.471 * [taylor]: Taking taylor expansion of k in n 5.471 * [backup-simplify]: Simplify k into k 5.471 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.471 * [taylor]: Taking taylor expansion of 1.0 in n 5.471 * [backup-simplify]: Simplify 1.0 into 1.0 5.471 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.471 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.471 * [taylor]: Taking taylor expansion of -2.0 in n 5.471 * [backup-simplify]: Simplify -2.0 into -2.0 5.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.471 * [taylor]: Taking taylor expansion of PI in n 5.471 * [backup-simplify]: Simplify PI into PI 5.471 * [taylor]: Taking taylor expansion of n in n 5.471 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ PI 1) into PI 5.472 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.473 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.473 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.475 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.475 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.476 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.477 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.478 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.479 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.481 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.481 * * * [progress]: simplifying candidates 5.488 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 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)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.497 * * [simplify]: Extracting # 0 : cost 0 5.498 * * [simplify]: Extracting # 1 : cost 0 5.499 * * [simplify]: Extracting # 2 : cost 0 5.499 * * [simplify]: Extracting # 3 : cost 0 5.500 * * [simplify]: Extracting # 4 : cost 0 5.501 * * [simplify]: Extracting # 5 : cost 0 5.502 * * [simplify]: Extracting # 6 : cost 0 5.503 * * [simplify]: Extracting # 7 : cost 0 5.504 * * [simplify]: Extracting # 8 : cost 0 5.505 * * [simplify]: Extracting # 9 : cost 0 5.506 * * [simplify]: Extracting # 10 : cost 0 5.507 * * [simplify]: Extracting # 11 : cost 0 5.508 * * [simplify]: Extracting # 12 : cost 0 5.509 * * [simplify]: Extracting # 13 : cost 0 5.511 * * [simplify]: Extracting # 14 : cost 0 5.512 * * [simplify]: Extracting # 15 : cost 0 5.513 * * [simplify]: Extracting # 16 : cost 0 5.514 * * [simplify]: Extracting # 17 : cost 0 5.515 * * [simplify]: Extracting # 18 : cost 0 5.517 * * [simplify]: Extracting # 19 : cost 0 5.518 * * [simplify]: Extracting # 20 : cost 0 5.519 * * [simplify]: Extracting # 21 : cost 0 5.520 * * [simplify]: Extracting # 22 : cost 0 5.521 * * [simplify]: Extracting # 23 : cost 0 5.522 * * [simplify]: Extracting # 24 : cost 0 5.524 * * [simplify]: Extracting # 25 : cost 0 5.525 * * [simplify]: Extracting # 26 : cost 0 5.526 * * [simplify]: Extracting # 27 : cost 0 5.527 * * [simplify]: Extracting # 28 : cost 0 5.528 * * [simplify]: Extracting # 29 : cost 0 5.529 * * [simplify]: Extracting # 30 : cost 0 5.530 * * [simplify]: Extracting # 31 : cost 0 5.531 * * [simplify]: Extracting # 32 : cost 0 5.533 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 5.717 * * [simplify]: Extracting # 0 : cost 0 5.720 * * [simplify]: Extracting # 1 : cost 0 5.723 * * [simplify]: Extracting # 2 : cost 0 5.726 * * [simplify]: Extracting # 3 : cost 0 5.729 * * [simplify]: Extracting # 4 : cost 0 5.731 * * [simplify]: Extracting # 5 : cost 0 5.741 * * [simplify]: Extracting # 6 : cost 0 5.744 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 6.414 * * [simplify]: Extracting # 0 : cost 0 6.421 * * [simplify]: Extracting # 1 : cost 0 6.429 * * [simplify]: Extracting # 2 : cost 0 6.437 * * [simplify]: Extracting # 3 : cost 0 6.445 * * [simplify]: Extracting # 4 : cost 0 6.458 * * [simplify]: Extracting # 5 : cost 0 6.467 * * [simplify]: iteration 2 : 3131 enodes (cost 2550 ) 7.762 * * [simplify]: Extracting # 0 : cost 0 7.772 * * [simplify]: Extracting # 1 : cost 0 7.786 * * [simplify]: Extracting # 2 : cost 0 7.792 * * [simplify]: Extracting # 3 : cost 0 7.803 * * [simplify]: Extracting # 4 : cost 0 7.815 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 7.817 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (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 (* n PI)) (/ 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 (* n PI)) (* (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 (* n PI)) (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))) (* n (* 2.0 PI)) (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))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* n (* 2.0 PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) (- (- (fma k +nan.0 +nan.0) (* (* +nan.0 k) k))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (fma (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (* (pow k 2) (log (* 2.0 PI))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma +nan.0 (- (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* (* +nan.0 (* k (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))) (- (/ +nan.0 (/ (pow k 3) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 7.819 * * * [progress]: adding candidates to table 8.479 * * [progress]: iteration 2 / 4 8.479 * * * [progress]: picking best candidate 8.523 * * * * [pick]: Picked # 8.523 * * * [progress]: localizing error 8.541 * * * [progress]: generating rewritten candidates 8.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 8.571 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.667 * * * [progress]: generating series expansions 8.667 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 8.667 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.667 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.668 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.668 * [taylor]: Taking taylor expansion of 0.5 in k 8.668 * [backup-simplify]: Simplify 0.5 into 0.5 8.668 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.668 * [taylor]: Taking taylor expansion of 1.0 in k 8.668 * [backup-simplify]: Simplify 1.0 into 1.0 8.668 * [taylor]: Taking taylor expansion of k in k 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.668 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.668 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.668 * [taylor]: Taking taylor expansion of 2.0 in k 8.668 * [backup-simplify]: Simplify 2.0 into 2.0 8.668 * [taylor]: Taking taylor expansion of PI in k 8.668 * [backup-simplify]: Simplify PI into PI 8.668 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.669 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.669 * [backup-simplify]: Simplify (- 0) into 0 8.670 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.670 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.671 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.673 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.673 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.673 * [taylor]: Taking taylor expansion of 0.5 in k 8.673 * [backup-simplify]: Simplify 0.5 into 0.5 8.673 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.673 * [taylor]: Taking taylor expansion of 1.0 in k 8.673 * [backup-simplify]: Simplify 1.0 into 1.0 8.673 * [taylor]: Taking taylor expansion of k in k 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 1 into 1 8.673 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.673 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.673 * [taylor]: Taking taylor expansion of 2.0 in k 8.673 * [backup-simplify]: Simplify 2.0 into 2.0 8.673 * [taylor]: Taking taylor expansion of PI in k 8.673 * [backup-simplify]: Simplify PI into PI 8.674 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.674 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.675 * [backup-simplify]: Simplify (- 0) into 0 8.675 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.676 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.678 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.686 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.688 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.689 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.691 * [backup-simplify]: Simplify (- 1) into -1 8.691 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.693 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.696 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.706 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.710 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.711 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.713 * [backup-simplify]: Simplify (- 0) into 0 8.713 * [backup-simplify]: Simplify (+ 0 0) into 0 8.714 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.715 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.724 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.730 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.745 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 8.746 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.746 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.746 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.746 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.746 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.746 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.746 * [taylor]: Taking taylor expansion of 0.5 in k 8.746 * [backup-simplify]: Simplify 0.5 into 0.5 8.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.746 * [taylor]: Taking taylor expansion of 1.0 in k 8.746 * [backup-simplify]: Simplify 1.0 into 1.0 8.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.746 * [taylor]: Taking taylor expansion of k in k 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.747 * [backup-simplify]: Simplify (/ 1 1) into 1 8.747 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.747 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.747 * [taylor]: Taking taylor expansion of 2.0 in k 8.747 * [backup-simplify]: Simplify 2.0 into 2.0 8.747 * [taylor]: Taking taylor expansion of PI in k 8.747 * [backup-simplify]: Simplify PI into PI 8.747 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.749 * [backup-simplify]: Simplify (- 1) into -1 8.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.750 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.752 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.753 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.753 * [taylor]: Taking taylor expansion of 0.5 in k 8.753 * [backup-simplify]: Simplify 0.5 into 0.5 8.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.753 * [taylor]: Taking taylor expansion of 1.0 in k 8.753 * [backup-simplify]: Simplify 1.0 into 1.0 8.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.753 * [taylor]: Taking taylor expansion of k in k 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.754 * [backup-simplify]: Simplify (/ 1 1) into 1 8.754 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.754 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.754 * [taylor]: Taking taylor expansion of 2.0 in k 8.754 * [backup-simplify]: Simplify 2.0 into 2.0 8.754 * [taylor]: Taking taylor expansion of PI in k 8.754 * [backup-simplify]: Simplify PI into PI 8.754 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.755 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.756 * [backup-simplify]: Simplify (- 1) into -1 8.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.757 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.758 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.760 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.761 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.763 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.763 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.764 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.764 * [taylor]: Taking taylor expansion of 0.5 in k 8.764 * [backup-simplify]: Simplify 0.5 into 0.5 8.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.764 * [taylor]: Taking taylor expansion of k in k 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.764 * [backup-simplify]: Simplify (/ 1 1) into 1 8.764 * [taylor]: Taking taylor expansion of 1.0 in k 8.765 * [backup-simplify]: Simplify 1.0 into 1.0 8.765 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.765 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.765 * [taylor]: Taking taylor expansion of 2.0 in k 8.765 * [backup-simplify]: Simplify 2.0 into 2.0 8.765 * [taylor]: Taking taylor expansion of PI in k 8.765 * [backup-simplify]: Simplify PI into PI 8.765 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.766 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.767 * [backup-simplify]: Simplify (+ 1 0) into 1 8.767 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.769 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.770 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.770 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.771 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.771 * [taylor]: Taking taylor expansion of 0.5 in k 8.771 * [backup-simplify]: Simplify 0.5 into 0.5 8.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.771 * [taylor]: Taking taylor expansion of k in k 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (/ 1 1) into 1 8.772 * [taylor]: Taking taylor expansion of 1.0 in k 8.772 * [backup-simplify]: Simplify 1.0 into 1.0 8.772 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.772 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.772 * [taylor]: Taking taylor expansion of 2.0 in k 8.772 * [backup-simplify]: Simplify 2.0 into 2.0 8.772 * [taylor]: Taking taylor expansion of PI in k 8.772 * [backup-simplify]: Simplify PI into PI 8.772 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.773 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.774 * [backup-simplify]: Simplify (+ 1 0) into 1 8.774 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.776 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.777 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.778 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.780 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.780 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.780 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.780 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.780 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.781 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.781 * [taylor]: Taking taylor expansion of 0.5 in k 8.781 * [backup-simplify]: Simplify 0.5 into 0.5 8.781 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.781 * [taylor]: Taking taylor expansion of 1.0 in k 8.781 * [backup-simplify]: Simplify 1.0 into 1.0 8.781 * [taylor]: Taking taylor expansion of k in k 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.781 * [taylor]: Taking taylor expansion of (log n) in k 8.781 * [taylor]: Taking taylor expansion of n in k 8.781 * [backup-simplify]: Simplify n into n 8.781 * [backup-simplify]: Simplify (log n) into (log n) 8.781 * [backup-simplify]: Simplify (- 0) into 0 8.782 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.782 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.782 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.782 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.782 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.782 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.782 * [taylor]: Taking taylor expansion of 0.5 in n 8.782 * [backup-simplify]: Simplify 0.5 into 0.5 8.783 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.783 * [taylor]: Taking taylor expansion of 1.0 in n 8.783 * [backup-simplify]: Simplify 1.0 into 1.0 8.783 * [taylor]: Taking taylor expansion of k in n 8.783 * [backup-simplify]: Simplify k into k 8.783 * [taylor]: Taking taylor expansion of (log n) in n 8.783 * [taylor]: Taking taylor expansion of n in n 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.783 * [backup-simplify]: Simplify (log 1) into 0 8.783 * [backup-simplify]: Simplify (- k) into (- k) 8.783 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.783 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.783 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.784 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.784 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.784 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.784 * [taylor]: Taking taylor expansion of 0.5 in n 8.784 * [backup-simplify]: Simplify 0.5 into 0.5 8.784 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.784 * [taylor]: Taking taylor expansion of 1.0 in n 8.784 * [backup-simplify]: Simplify 1.0 into 1.0 8.784 * [taylor]: Taking taylor expansion of k in n 8.784 * [backup-simplify]: Simplify k into k 8.784 * [taylor]: Taking taylor expansion of (log n) in n 8.784 * [taylor]: Taking taylor expansion of n in n 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (log 1) into 0 8.784 * [backup-simplify]: Simplify (- k) into (- k) 8.784 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.784 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.784 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.785 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.785 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.785 * [taylor]: Taking taylor expansion of 0.5 in k 8.785 * [backup-simplify]: Simplify 0.5 into 0.5 8.785 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.785 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.785 * [taylor]: Taking taylor expansion of 1.0 in k 8.785 * [backup-simplify]: Simplify 1.0 into 1.0 8.785 * [taylor]: Taking taylor expansion of k in k 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 1 into 1 8.785 * [taylor]: Taking taylor expansion of (log n) in k 8.785 * [taylor]: Taking taylor expansion of n in k 8.785 * [backup-simplify]: Simplify n into n 8.785 * [backup-simplify]: Simplify (log n) into (log n) 8.785 * [backup-simplify]: Simplify (- 0) into 0 8.785 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.786 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.786 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.786 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.786 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.787 * [backup-simplify]: Simplify (- 0) into 0 8.787 * [backup-simplify]: Simplify (+ 0 0) into 0 8.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.788 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.788 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.788 * [taylor]: Taking taylor expansion of 0 in k 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.789 * [backup-simplify]: Simplify (- 1) into -1 8.789 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.790 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.790 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.790 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.790 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.792 * [backup-simplify]: Simplify (- 0) into 0 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.793 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.793 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.794 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.794 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.794 * [taylor]: Taking taylor expansion of 0 in k 8.794 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.796 * [backup-simplify]: Simplify (- 0) into 0 8.796 * [backup-simplify]: Simplify (+ 0 0) into 0 8.797 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.797 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.798 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.798 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.799 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 8.799 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.799 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.799 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.799 * [taylor]: Taking taylor expansion of 0.5 in k 8.799 * [backup-simplify]: Simplify 0.5 into 0.5 8.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.799 * [taylor]: Taking taylor expansion of 1.0 in k 8.799 * [backup-simplify]: Simplify 1.0 into 1.0 8.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.799 * [taylor]: Taking taylor expansion of k in k 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 1 into 1 8.799 * [backup-simplify]: Simplify (/ 1 1) into 1 8.799 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.799 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.799 * [taylor]: Taking taylor expansion of n in k 8.799 * [backup-simplify]: Simplify n into n 8.799 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.800 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.800 * [backup-simplify]: Simplify (- 1) into -1 8.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.800 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.800 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.800 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.801 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.801 * [taylor]: Taking taylor expansion of 0.5 in n 8.801 * [backup-simplify]: Simplify 0.5 into 0.5 8.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.801 * [taylor]: Taking taylor expansion of 1.0 in n 8.801 * [backup-simplify]: Simplify 1.0 into 1.0 8.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.801 * [taylor]: Taking taylor expansion of k in n 8.801 * [backup-simplify]: Simplify k into k 8.801 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.801 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.801 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.801 * [taylor]: Taking taylor expansion of n in n 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (/ 1 1) into 1 8.801 * [backup-simplify]: Simplify (log 1) into 0 8.801 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.801 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.802 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.802 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.802 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.802 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.802 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.802 * [taylor]: Taking taylor expansion of 0.5 in n 8.802 * [backup-simplify]: Simplify 0.5 into 0.5 8.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.802 * [taylor]: Taking taylor expansion of 1.0 in n 8.802 * [backup-simplify]: Simplify 1.0 into 1.0 8.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.802 * [taylor]: Taking taylor expansion of k in n 8.802 * [backup-simplify]: Simplify k into k 8.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.802 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.802 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.802 * [taylor]: Taking taylor expansion of n in n 8.802 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify 1 into 1 8.803 * [backup-simplify]: Simplify (/ 1 1) into 1 8.803 * [backup-simplify]: Simplify (log 1) into 0 8.803 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.803 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.803 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.803 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.804 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.804 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.804 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.804 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.804 * [taylor]: Taking taylor expansion of -0.5 in k 8.804 * [backup-simplify]: Simplify -0.5 into -0.5 8.804 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.804 * [taylor]: Taking taylor expansion of (log n) in k 8.804 * [taylor]: Taking taylor expansion of n in k 8.804 * [backup-simplify]: Simplify n into n 8.804 * [backup-simplify]: Simplify (log n) into (log n) 8.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.804 * [taylor]: Taking taylor expansion of 1.0 in k 8.804 * [backup-simplify]: Simplify 1.0 into 1.0 8.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.804 * [taylor]: Taking taylor expansion of k in k 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.810 * [backup-simplify]: Simplify (/ 1 1) into 1 8.810 * [backup-simplify]: Simplify (- 1) into -1 8.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.811 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.811 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.811 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.812 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.814 * [backup-simplify]: Simplify (- 0) into 0 8.815 * [backup-simplify]: Simplify (+ 0 0) into 0 8.815 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.816 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.817 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.817 * [taylor]: Taking taylor expansion of 0 in k 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.821 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.822 * [backup-simplify]: Simplify (- 0) into 0 8.822 * [backup-simplify]: Simplify (+ 0 0) into 0 8.823 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.823 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.824 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.825 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.826 * [taylor]: Taking taylor expansion of 0 in k 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.832 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.833 * [backup-simplify]: Simplify (- 0) into 0 8.833 * [backup-simplify]: Simplify (+ 0 0) into 0 8.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.836 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.838 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.838 * [taylor]: Taking taylor expansion of 0 in k 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.838 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.838 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.839 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.839 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.839 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.839 * [taylor]: Taking taylor expansion of 0.5 in k 8.839 * [backup-simplify]: Simplify 0.5 into 0.5 8.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.839 * [taylor]: Taking taylor expansion of k in k 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify 1 into 1 8.839 * [backup-simplify]: Simplify (/ 1 1) into 1 8.839 * [taylor]: Taking taylor expansion of 1.0 in k 8.839 * [backup-simplify]: Simplify 1.0 into 1.0 8.839 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.839 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.839 * [taylor]: Taking taylor expansion of -1 in k 8.840 * [backup-simplify]: Simplify -1 into -1 8.840 * [taylor]: Taking taylor expansion of n in k 8.840 * [backup-simplify]: Simplify n into n 8.840 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.840 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.840 * [backup-simplify]: Simplify (+ 1 0) into 1 8.841 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.841 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.841 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.841 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.841 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.841 * [taylor]: Taking taylor expansion of 0.5 in n 8.841 * [backup-simplify]: Simplify 0.5 into 0.5 8.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.841 * [taylor]: Taking taylor expansion of k in n 8.841 * [backup-simplify]: Simplify k into k 8.841 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.841 * [taylor]: Taking taylor expansion of 1.0 in n 8.841 * [backup-simplify]: Simplify 1.0 into 1.0 8.841 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.842 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.842 * [taylor]: Taking taylor expansion of -1 in n 8.842 * [backup-simplify]: Simplify -1 into -1 8.842 * [taylor]: Taking taylor expansion of n in n 8.842 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [backup-simplify]: Simplify (/ -1 1) into -1 8.843 * [backup-simplify]: Simplify (log -1) into (log -1) 8.843 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.843 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.845 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.845 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.845 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.845 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.845 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.845 * [taylor]: Taking taylor expansion of 0.5 in n 8.845 * [backup-simplify]: Simplify 0.5 into 0.5 8.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.846 * [taylor]: Taking taylor expansion of k in n 8.846 * [backup-simplify]: Simplify k into k 8.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.846 * [taylor]: Taking taylor expansion of 1.0 in n 8.846 * [backup-simplify]: Simplify 1.0 into 1.0 8.846 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.846 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.846 * [taylor]: Taking taylor expansion of -1 in n 8.846 * [backup-simplify]: Simplify -1 into -1 8.846 * [taylor]: Taking taylor expansion of n in n 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify 1 into 1 8.846 * [backup-simplify]: Simplify (/ -1 1) into -1 8.847 * [backup-simplify]: Simplify (log -1) into (log -1) 8.847 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.847 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.848 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.849 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.849 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.849 * [taylor]: Taking taylor expansion of 0.5 in k 8.849 * [backup-simplify]: Simplify 0.5 into 0.5 8.849 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.849 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.849 * [taylor]: Taking taylor expansion of (log -1) in k 8.849 * [taylor]: Taking taylor expansion of -1 in k 8.849 * [backup-simplify]: Simplify -1 into -1 8.850 * [backup-simplify]: Simplify (log -1) into (log -1) 8.850 * [taylor]: Taking taylor expansion of (log n) in k 8.850 * [taylor]: Taking taylor expansion of n in k 8.850 * [backup-simplify]: Simplify n into n 8.850 * [backup-simplify]: Simplify (log n) into (log n) 8.850 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.850 * [taylor]: Taking taylor expansion of k in k 8.850 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify 1 into 1 8.851 * [backup-simplify]: Simplify (/ 1 1) into 1 8.851 * [taylor]: Taking taylor expansion of 1.0 in k 8.851 * [backup-simplify]: Simplify 1.0 into 1.0 8.851 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.851 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.852 * [backup-simplify]: Simplify (+ 1 0) into 1 8.852 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.853 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.853 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.854 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.856 * [backup-simplify]: Simplify (+ 0 0) into 0 8.856 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.857 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.857 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.858 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.858 * [taylor]: Taking taylor expansion of 0 in k 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.861 * [backup-simplify]: Simplify (+ 0 0) into 0 8.861 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.862 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.863 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.863 * [taylor]: Taking taylor expansion of 0 in k 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.868 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.869 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.870 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.871 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.871 * [taylor]: Taking taylor expansion of 0 in k 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 8.872 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.872 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 8.872 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 8.872 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.872 * [taylor]: Taking taylor expansion of 1.0 in k 8.872 * [backup-simplify]: Simplify 1.0 into 1.0 8.872 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.872 * [taylor]: Taking taylor expansion of k in k 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.873 * [backup-simplify]: Simplify (/ 1 1) into 1 8.873 * [backup-simplify]: Simplify (sqrt 0) into 0 8.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.874 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.874 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.874 * [taylor]: Taking taylor expansion of 0.5 in k 8.874 * [backup-simplify]: Simplify 0.5 into 0.5 8.874 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.874 * [taylor]: Taking taylor expansion of 1.0 in k 8.874 * [backup-simplify]: Simplify 1.0 into 1.0 8.874 * [taylor]: Taking taylor expansion of k in k 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.874 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.874 * [taylor]: Taking taylor expansion of 2.0 in k 8.874 * [backup-simplify]: Simplify 2.0 into 2.0 8.874 * [taylor]: Taking taylor expansion of PI in k 8.874 * [backup-simplify]: Simplify PI into PI 8.874 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.875 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.875 * [backup-simplify]: Simplify (- 0) into 0 8.876 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.876 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.877 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.878 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.879 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.879 * [taylor]: Taking taylor expansion of 1.0 in k 8.879 * [backup-simplify]: Simplify 1.0 into 1.0 8.879 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.879 * [taylor]: Taking taylor expansion of k in k 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 1 into 1 8.879 * [backup-simplify]: Simplify (/ 1 1) into 1 8.879 * [backup-simplify]: Simplify (sqrt 0) into 0 8.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.880 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.880 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.880 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.880 * [taylor]: Taking taylor expansion of 0.5 in k 8.880 * [backup-simplify]: Simplify 0.5 into 0.5 8.880 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.880 * [taylor]: Taking taylor expansion of 1.0 in k 8.880 * [backup-simplify]: Simplify 1.0 into 1.0 8.880 * [taylor]: Taking taylor expansion of k in k 8.880 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify 1 into 1 8.880 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.880 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.880 * [taylor]: Taking taylor expansion of 2.0 in k 8.880 * [backup-simplify]: Simplify 2.0 into 2.0 8.880 * [taylor]: Taking taylor expansion of PI in k 8.880 * [backup-simplify]: Simplify PI into PI 8.881 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.881 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.881 * [backup-simplify]: Simplify (- 0) into 0 8.882 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.882 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.883 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.885 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.885 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 8.886 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.889 * [backup-simplify]: Simplify (- 1) into -1 8.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.891 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.911 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.919 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.929 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.935 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.936 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.941 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.959 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.961 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.984 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 9.015 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 9.034 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 9.035 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.038 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 9.038 * [backup-simplify]: Simplify (- 0) into 0 9.039 * [backup-simplify]: Simplify (+ 0 0) into 0 9.040 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 9.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 9.052 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.094 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 9.152 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 9.190 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 9.263 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 9.264 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 9.264 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 9.264 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.264 * [taylor]: Taking taylor expansion of 1.0 in k 9.264 * [backup-simplify]: Simplify 1.0 into 1.0 9.264 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.264 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.264 * [taylor]: Taking taylor expansion of k in k 9.264 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (sqrt 0) into 0 9.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.267 * [taylor]: Taking taylor expansion of 0.5 in k 9.267 * [backup-simplify]: Simplify 0.5 into 0.5 9.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.267 * [taylor]: Taking taylor expansion of 1.0 in k 9.267 * [backup-simplify]: Simplify 1.0 into 1.0 9.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.267 * [taylor]: Taking taylor expansion of k in k 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (/ 1 1) into 1 9.267 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.267 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.268 * [taylor]: Taking taylor expansion of 2.0 in k 9.268 * [backup-simplify]: Simplify 2.0 into 2.0 9.268 * [taylor]: Taking taylor expansion of PI in k 9.268 * [backup-simplify]: Simplify PI into PI 9.268 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.269 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.270 * [backup-simplify]: Simplify (- 1) into -1 9.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.271 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.273 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.274 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.274 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.274 * [taylor]: Taking taylor expansion of 1.0 in k 9.274 * [backup-simplify]: Simplify 1.0 into 1.0 9.274 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.274 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.274 * [taylor]: Taking taylor expansion of k in k 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.274 * [backup-simplify]: Simplify (sqrt 0) into 0 9.276 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.276 * [taylor]: Taking taylor expansion of 0.5 in k 9.276 * [backup-simplify]: Simplify 0.5 into 0.5 9.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.276 * [taylor]: Taking taylor expansion of 1.0 in k 9.276 * [backup-simplify]: Simplify 1.0 into 1.0 9.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.276 * [taylor]: Taking taylor expansion of k in k 9.276 * [backup-simplify]: Simplify 0 into 0 9.276 * [backup-simplify]: Simplify 1 into 1 9.277 * [backup-simplify]: Simplify (/ 1 1) into 1 9.277 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.277 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.277 * [taylor]: Taking taylor expansion of 2.0 in k 9.277 * [backup-simplify]: Simplify 2.0 into 2.0 9.277 * [taylor]: Taking taylor expansion of PI in k 9.277 * [backup-simplify]: Simplify PI into PI 9.277 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.278 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.279 * [backup-simplify]: Simplify (- 1) into -1 9.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.280 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.282 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.283 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.284 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 9.285 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.285 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.288 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.289 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.292 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.297 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.298 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.310 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.311 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 9.316 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 9.317 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 9.317 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 9.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.317 * [taylor]: Taking taylor expansion of 1.0 in k 9.317 * [backup-simplify]: Simplify 1.0 into 1.0 9.317 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.317 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.317 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.317 * [taylor]: Taking taylor expansion of 0.5 in k 9.317 * [backup-simplify]: Simplify 0.5 into 0.5 9.317 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.317 * [taylor]: Taking taylor expansion of k in k 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (/ 1 1) into 1 9.318 * [taylor]: Taking taylor expansion of 1.0 in k 9.318 * [backup-simplify]: Simplify 1.0 into 1.0 9.318 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.318 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.318 * [taylor]: Taking taylor expansion of 2.0 in k 9.318 * [backup-simplify]: Simplify 2.0 into 2.0 9.318 * [taylor]: Taking taylor expansion of PI in k 9.318 * [backup-simplify]: Simplify PI into PI 9.319 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.320 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.320 * [backup-simplify]: Simplify (+ 1 0) into 1 9.321 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.322 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.324 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.324 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.324 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.324 * [taylor]: Taking taylor expansion of -1 in k 9.324 * [backup-simplify]: Simplify -1 into -1 9.324 * [taylor]: Taking taylor expansion of k in k 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [backup-simplify]: Simplify (/ -1 1) into -1 9.325 * [backup-simplify]: Simplify (sqrt 0) into 0 9.326 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.327 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 9.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.328 * [taylor]: Taking taylor expansion of 1.0 in k 9.328 * [backup-simplify]: Simplify 1.0 into 1.0 9.328 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.328 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.328 * [taylor]: Taking taylor expansion of 0.5 in k 9.328 * [backup-simplify]: Simplify 0.5 into 0.5 9.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.328 * [taylor]: Taking taylor expansion of k in k 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (/ 1 1) into 1 9.328 * [taylor]: Taking taylor expansion of 1.0 in k 9.328 * [backup-simplify]: Simplify 1.0 into 1.0 9.328 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.329 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.329 * [taylor]: Taking taylor expansion of 2.0 in k 9.329 * [backup-simplify]: Simplify 2.0 into 2.0 9.329 * [taylor]: Taking taylor expansion of PI in k 9.329 * [backup-simplify]: Simplify PI into PI 9.329 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.330 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.331 * [backup-simplify]: Simplify (+ 1 0) into 1 9.331 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.333 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.334 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.334 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.334 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.334 * [taylor]: Taking taylor expansion of -1 in k 9.334 * [backup-simplify]: Simplify -1 into -1 9.334 * [taylor]: Taking taylor expansion of k in k 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ -1 1) into -1 9.335 * [backup-simplify]: Simplify (sqrt 0) into 0 9.336 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.338 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 9.339 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 9.340 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 9.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.344 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.346 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.349 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.350 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.359 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.363 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.364 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.369 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 9.369 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.369 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.369 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.369 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.369 * [taylor]: Taking taylor expansion of 1.0 in k 9.369 * [backup-simplify]: Simplify 1.0 into 1.0 9.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.369 * [taylor]: Taking taylor expansion of k in k 9.369 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify 1 into 1 9.370 * [backup-simplify]: Simplify (/ 1 1) into 1 9.370 * [backup-simplify]: Simplify (sqrt 0) into 0 9.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.371 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.371 * [taylor]: Taking taylor expansion of 1.0 in k 9.372 * [backup-simplify]: Simplify 1.0 into 1.0 9.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.372 * [taylor]: Taking taylor expansion of k in k 9.372 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify 1 into 1 9.372 * [backup-simplify]: Simplify (/ 1 1) into 1 9.372 * [backup-simplify]: Simplify (sqrt 0) into 0 9.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.374 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.374 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.376 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.382 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.382 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.390 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.392 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.392 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.392 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.392 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.392 * [taylor]: Taking taylor expansion of 1.0 in k 9.392 * [backup-simplify]: Simplify 1.0 into 1.0 9.392 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.392 * [taylor]: Taking taylor expansion of k in k 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.393 * [backup-simplify]: Simplify (sqrt 0) into 0 9.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.394 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.394 * [taylor]: Taking taylor expansion of 1.0 in k 9.394 * [backup-simplify]: Simplify 1.0 into 1.0 9.394 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.394 * [taylor]: Taking taylor expansion of k in k 9.394 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (sqrt 0) into 0 9.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.396 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.397 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.406 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.410 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.412 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.412 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.419 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.419 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.421 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 9.421 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.421 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.421 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.421 * [taylor]: Taking taylor expansion of 1.0 in k 9.421 * [backup-simplify]: Simplify 1.0 into 1.0 9.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.421 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.421 * [taylor]: Taking taylor expansion of -1 in k 9.421 * [backup-simplify]: Simplify -1 into -1 9.421 * [taylor]: Taking taylor expansion of k in k 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 1 into 1 9.422 * [backup-simplify]: Simplify (/ -1 1) into -1 9.422 * [backup-simplify]: Simplify (sqrt 0) into 0 9.423 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.423 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.423 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.423 * [taylor]: Taking taylor expansion of 1.0 in k 9.423 * [backup-simplify]: Simplify 1.0 into 1.0 9.423 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.423 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.423 * [taylor]: Taking taylor expansion of -1 in k 9.423 * [backup-simplify]: Simplify -1 into -1 9.423 * [taylor]: Taking taylor expansion of k in k 9.423 * [backup-simplify]: Simplify 0 into 0 9.423 * [backup-simplify]: Simplify 1 into 1 9.424 * [backup-simplify]: Simplify (/ -1 1) into -1 9.424 * [backup-simplify]: Simplify (sqrt 0) into 0 9.425 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.425 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.425 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.427 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.429 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.434 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.434 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.435 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 9.435 * * * [progress]: simplifying candidates 9.438 * [simplify]: Simplifying: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 9.442 * * [simplify]: Extracting # 0 : cost 0 9.442 * * [simplify]: Extracting # 1 : cost 0 9.442 * * [simplify]: Extracting # 2 : cost 0 9.443 * * [simplify]: Extracting # 3 : cost 0 9.443 * * [simplify]: Extracting # 4 : cost 0 9.444 * * [simplify]: Extracting # 5 : cost 0 9.444 * * [simplify]: Extracting # 6 : cost 0 9.445 * * [simplify]: Extracting # 7 : cost 0 9.445 * * [simplify]: Extracting # 8 : cost 0 9.446 * * [simplify]: Extracting # 9 : cost 0 9.446 * * [simplify]: Extracting # 10 : cost 0 9.446 * * [simplify]: Extracting # 11 : cost 0 9.447 * * [simplify]: Extracting # 12 : cost 0 9.447 * * [simplify]: Extracting # 13 : cost 0 9.448 * * [simplify]: Extracting # 14 : cost 0 9.449 * * [simplify]: Extracting # 15 : cost 0 9.449 * * [simplify]: Extracting # 16 : cost 0 9.449 * * [simplify]: Extracting # 17 : cost 0 9.450 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 9.566 * * [simplify]: Extracting # 0 : cost 0 9.568 * * [simplify]: Extracting # 1 : cost 0 9.569 * * [simplify]: Extracting # 2 : cost 0 9.570 * * [simplify]: Extracting # 3 : cost 0 9.571 * * [simplify]: Extracting # 4 : cost 0 9.572 * * [simplify]: iteration 1 : 831 enodes (cost 2468 ) 10.059 * * [simplify]: Extracting # 0 : cost 0 10.065 * * [simplify]: Extracting # 1 : cost 0 10.071 * * [simplify]: Extracting # 2 : cost 0 10.083 * * [simplify]: Extracting # 3 : cost 0 10.089 * * [simplify]: Extracting # 4 : cost 0 10.096 * * [simplify]: iteration 2 : 2409 enodes (cost 2362 ) 11.217 * * [simplify]: Extracting # 0 : cost 0 11.229 * * [simplify]: Extracting # 1 : cost 0 11.243 * * [simplify]: Extracting # 2 : cost 0 11.255 * * [simplify]: Extracting # 3 : cost 0 11.268 * * [simplify]: Extracting # 4 : cost 0 11.289 * * [simplify]: iteration done: 5000 enodes (cost 2337 ) 11.292 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI 2.0) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* PI 2.0) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* PI 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* PI 2.0) (* PI 2.0) (pow (* PI 2.0) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (/ (pow 1.0 3) (* k (sqrt k)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (fma (- (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- +nan.0) (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0)))))) (fma +nan.0 (- (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) k) (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow k 3))) (/ (- +nan.0) (/ (pow k 2) (pow (* PI 2.0) (* 0.5 (- 1.0 k)))))) (fma +nan.0 (- (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) k) (pow (* PI 2.0) (* 0.5 (- 1.0 k)))) (/ (- +nan.0) (/ (pow k 2) (pow (* PI 2.0) (* 0.5 (- 1.0 k)))))) (fma k (- +nan.0) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) 11.294 * * * [progress]: adding candidates to table 12.077 * * [progress]: iteration 3 / 4 12.077 * * * [progress]: picking best candidate 12.114 * * * * [pick]: Picked # 12.114 * * * [progress]: localizing error 12.138 * * * [progress]: generating rewritten candidates 12.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 12.162 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 12.178 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 12.268 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 12.282 * * * [progress]: generating series expansions 12.282 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 12.282 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 12.282 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 12.282 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.282 * [taylor]: Taking taylor expansion of 0.5 in k 12.282 * [backup-simplify]: Simplify 0.5 into 0.5 12.282 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.282 * [taylor]: Taking taylor expansion of 1.0 in k 12.282 * [backup-simplify]: Simplify 1.0 into 1.0 12.282 * [taylor]: Taking taylor expansion of k in k 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.282 * [taylor]: Taking taylor expansion of (log PI) in k 12.282 * [taylor]: Taking taylor expansion of PI in k 12.282 * [backup-simplify]: Simplify PI into PI 12.283 * [backup-simplify]: Simplify (log PI) into (log PI) 12.283 * [backup-simplify]: Simplify (- 0) into 0 12.283 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.284 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.284 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.285 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.285 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.286 * [taylor]: Taking taylor expansion of 0.5 in k 12.286 * [backup-simplify]: Simplify 0.5 into 0.5 12.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.286 * [taylor]: Taking taylor expansion of 1.0 in k 12.286 * [backup-simplify]: Simplify 1.0 into 1.0 12.286 * [taylor]: Taking taylor expansion of k in k 12.286 * [backup-simplify]: Simplify 0 into 0 12.286 * [backup-simplify]: Simplify 1 into 1 12.286 * [taylor]: Taking taylor expansion of (log PI) in k 12.286 * [taylor]: Taking taylor expansion of PI in k 12.286 * [backup-simplify]: Simplify PI into PI 12.286 * [backup-simplify]: Simplify (log PI) into (log PI) 12.286 * [backup-simplify]: Simplify (- 0) into 0 12.286 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.287 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.287 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.288 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.289 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 12.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.290 * [backup-simplify]: Simplify (- 1) into -1 12.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.291 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 12.298 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 12.300 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 12.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.302 * [backup-simplify]: Simplify (- 0) into 0 12.302 * [backup-simplify]: Simplify (+ 0 0) into 0 12.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.310 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.313 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.321 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 12.321 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 12.321 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 12.321 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.321 * [taylor]: Taking taylor expansion of 0.5 in k 12.321 * [backup-simplify]: Simplify 0.5 into 0.5 12.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.322 * [taylor]: Taking taylor expansion of 1.0 in k 12.322 * [backup-simplify]: Simplify 1.0 into 1.0 12.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.322 * [taylor]: Taking taylor expansion of k in k 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [backup-simplify]: Simplify (/ 1 1) into 1 12.322 * [taylor]: Taking taylor expansion of (log PI) in k 12.322 * [taylor]: Taking taylor expansion of PI in k 12.322 * [backup-simplify]: Simplify PI into PI 12.322 * [backup-simplify]: Simplify (log PI) into (log PI) 12.323 * [backup-simplify]: Simplify (- 1) into -1 12.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.323 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.324 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.324 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.324 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.324 * [taylor]: Taking taylor expansion of 0.5 in k 12.324 * [backup-simplify]: Simplify 0.5 into 0.5 12.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.324 * [taylor]: Taking taylor expansion of 1.0 in k 12.324 * [backup-simplify]: Simplify 1.0 into 1.0 12.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.324 * [taylor]: Taking taylor expansion of k in k 12.324 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify 1 into 1 12.325 * [backup-simplify]: Simplify (/ 1 1) into 1 12.325 * [taylor]: Taking taylor expansion of (log PI) in k 12.325 * [taylor]: Taking taylor expansion of PI in k 12.325 * [backup-simplify]: Simplify PI into PI 12.325 * [backup-simplify]: Simplify (log PI) into (log PI) 12.325 * [backup-simplify]: Simplify (- 1) into -1 12.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.326 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.327 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.327 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.327 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.328 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 12.328 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 12.328 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.328 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.328 * [taylor]: Taking taylor expansion of 0.5 in k 12.328 * [backup-simplify]: Simplify 0.5 into 0.5 12.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.328 * [taylor]: Taking taylor expansion of k in k 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify 1 into 1 12.329 * [backup-simplify]: Simplify (/ 1 1) into 1 12.329 * [taylor]: Taking taylor expansion of 1.0 in k 12.329 * [backup-simplify]: Simplify 1.0 into 1.0 12.329 * [taylor]: Taking taylor expansion of (log PI) in k 12.329 * [taylor]: Taking taylor expansion of PI in k 12.329 * [backup-simplify]: Simplify PI into PI 12.329 * [backup-simplify]: Simplify (log PI) into (log PI) 12.329 * [backup-simplify]: Simplify (+ 1 0) into 1 12.329 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.330 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.330 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.330 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.330 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.330 * [taylor]: Taking taylor expansion of 0.5 in k 12.330 * [backup-simplify]: Simplify 0.5 into 0.5 12.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.331 * [taylor]: Taking taylor expansion of k in k 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (/ 1 1) into 1 12.331 * [taylor]: Taking taylor expansion of 1.0 in k 12.331 * [backup-simplify]: Simplify 1.0 into 1.0 12.331 * [taylor]: Taking taylor expansion of (log PI) in k 12.331 * [taylor]: Taking taylor expansion of PI in k 12.331 * [backup-simplify]: Simplify PI into PI 12.331 * [backup-simplify]: Simplify (log PI) into (log PI) 12.331 * [backup-simplify]: Simplify (+ 1 0) into 1 12.332 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.332 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.333 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.333 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 12.334 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 12.334 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 12.334 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.334 * [taylor]: Taking taylor expansion of 0.5 in k 12.334 * [backup-simplify]: Simplify 0.5 into 0.5 12.334 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.334 * [taylor]: Taking taylor expansion of 1.0 in k 12.334 * [backup-simplify]: Simplify 1.0 into 1.0 12.334 * [taylor]: Taking taylor expansion of k in k 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.334 * [taylor]: Taking taylor expansion of (log n) in k 12.334 * [taylor]: Taking taylor expansion of n in k 12.334 * [backup-simplify]: Simplify n into n 12.334 * [backup-simplify]: Simplify (log n) into (log n) 12.334 * [backup-simplify]: Simplify (- 0) into 0 12.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.335 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.335 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.335 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.335 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.335 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.335 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.335 * [taylor]: Taking taylor expansion of 0.5 in n 12.335 * [backup-simplify]: Simplify 0.5 into 0.5 12.335 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.335 * [taylor]: Taking taylor expansion of 1.0 in n 12.335 * [backup-simplify]: Simplify 1.0 into 1.0 12.335 * [taylor]: Taking taylor expansion of k in n 12.335 * [backup-simplify]: Simplify k into k 12.335 * [taylor]: Taking taylor expansion of (log n) in n 12.335 * [taylor]: Taking taylor expansion of n in n 12.335 * [backup-simplify]: Simplify 0 into 0 12.335 * [backup-simplify]: Simplify 1 into 1 12.336 * [backup-simplify]: Simplify (log 1) into 0 12.336 * [backup-simplify]: Simplify (- k) into (- k) 12.336 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.336 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.336 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.336 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.336 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.336 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.336 * [taylor]: Taking taylor expansion of 0.5 in n 12.336 * [backup-simplify]: Simplify 0.5 into 0.5 12.336 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.336 * [taylor]: Taking taylor expansion of 1.0 in n 12.336 * [backup-simplify]: Simplify 1.0 into 1.0 12.337 * [taylor]: Taking taylor expansion of k in n 12.337 * [backup-simplify]: Simplify k into k 12.337 * [taylor]: Taking taylor expansion of (log n) in n 12.337 * [taylor]: Taking taylor expansion of n in n 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 1 into 1 12.337 * [backup-simplify]: Simplify (log 1) into 0 12.337 * [backup-simplify]: Simplify (- k) into (- k) 12.337 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.337 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.337 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.337 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.337 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 12.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 12.338 * [taylor]: Taking taylor expansion of 0.5 in k 12.338 * [backup-simplify]: Simplify 0.5 into 0.5 12.338 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 12.338 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.338 * [taylor]: Taking taylor expansion of 1.0 in k 12.338 * [backup-simplify]: Simplify 1.0 into 1.0 12.338 * [taylor]: Taking taylor expansion of k in k 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.338 * [taylor]: Taking taylor expansion of (log n) in k 12.338 * [taylor]: Taking taylor expansion of n in k 12.338 * [backup-simplify]: Simplify n into n 12.338 * [backup-simplify]: Simplify (log n) into (log n) 12.338 * [backup-simplify]: Simplify (- 0) into 0 12.338 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.338 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.338 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 12.338 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.339 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 12.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.340 * [backup-simplify]: Simplify (- 0) into 0 12.340 * [backup-simplify]: Simplify (+ 0 0) into 0 12.340 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.340 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.340 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 12.341 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.341 * [taylor]: Taking taylor expansion of 0 in k 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.342 * [backup-simplify]: Simplify (- 1) into -1 12.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.342 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 12.343 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 12.343 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 12.343 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 12.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.352 * [backup-simplify]: Simplify (- 0) into 0 12.353 * [backup-simplify]: Simplify (+ 0 0) into 0 12.354 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.355 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 12.356 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.356 * [taylor]: Taking taylor expansion of 0 in k 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.358 * [backup-simplify]: Simplify (- 0) into 0 12.359 * [backup-simplify]: Simplify (+ 0 0) into 0 12.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 12.360 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 12.361 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 12.362 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 12.363 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 12.363 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 12.363 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.363 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.363 * [taylor]: Taking taylor expansion of 0.5 in k 12.363 * [backup-simplify]: Simplify 0.5 into 0.5 12.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.363 * [taylor]: Taking taylor expansion of 1.0 in k 12.363 * [backup-simplify]: Simplify 1.0 into 1.0 12.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.363 * [taylor]: Taking taylor expansion of k in k 12.364 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify 1 into 1 12.364 * [backup-simplify]: Simplify (/ 1 1) into 1 12.364 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.364 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.364 * [taylor]: Taking taylor expansion of n in k 12.364 * [backup-simplify]: Simplify n into n 12.364 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.364 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.365 * [backup-simplify]: Simplify (- 1) into -1 12.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.365 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.366 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.366 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.366 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.366 * [taylor]: Taking taylor expansion of 0.5 in n 12.366 * [backup-simplify]: Simplify 0.5 into 0.5 12.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.366 * [taylor]: Taking taylor expansion of 1.0 in n 12.366 * [backup-simplify]: Simplify 1.0 into 1.0 12.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.366 * [taylor]: Taking taylor expansion of k in n 12.366 * [backup-simplify]: Simplify k into k 12.366 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.366 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.366 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.366 * [taylor]: Taking taylor expansion of n in n 12.366 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify 1 into 1 12.367 * [backup-simplify]: Simplify (/ 1 1) into 1 12.367 * [backup-simplify]: Simplify (log 1) into 0 12.367 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.367 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.367 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.368 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.368 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.368 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.368 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.368 * [taylor]: Taking taylor expansion of 0.5 in n 12.368 * [backup-simplify]: Simplify 0.5 into 0.5 12.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.368 * [taylor]: Taking taylor expansion of 1.0 in n 12.368 * [backup-simplify]: Simplify 1.0 into 1.0 12.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.369 * [taylor]: Taking taylor expansion of k in n 12.369 * [backup-simplify]: Simplify k into k 12.369 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.369 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.369 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.369 * [taylor]: Taking taylor expansion of n in n 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (/ 1 1) into 1 12.369 * [backup-simplify]: Simplify (log 1) into 0 12.370 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.370 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.370 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.370 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.371 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.371 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 12.371 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 12.371 * [taylor]: Taking taylor expansion of -0.5 in k 12.371 * [backup-simplify]: Simplify -0.5 into -0.5 12.371 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 12.371 * [taylor]: Taking taylor expansion of (log n) in k 12.371 * [taylor]: Taking taylor expansion of n in k 12.371 * [backup-simplify]: Simplify n into n 12.371 * [backup-simplify]: Simplify (log n) into (log n) 12.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.371 * [taylor]: Taking taylor expansion of 1.0 in k 12.371 * [backup-simplify]: Simplify 1.0 into 1.0 12.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.371 * [taylor]: Taking taylor expansion of k in k 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 1 into 1 12.371 * [backup-simplify]: Simplify (/ 1 1) into 1 12.371 * [backup-simplify]: Simplify (- 1) into -1 12.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.372 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 12.372 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 12.372 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.372 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.374 * [backup-simplify]: Simplify (- 0) into 0 12.374 * [backup-simplify]: Simplify (+ 0 0) into 0 12.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.375 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 12.375 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.375 * [taylor]: Taking taylor expansion of 0 in k 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.378 * [backup-simplify]: Simplify (- 0) into 0 12.378 * [backup-simplify]: Simplify (+ 0 0) into 0 12.378 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.379 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 12.380 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.380 * [taylor]: Taking taylor expansion of 0 in k 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.383 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.384 * [backup-simplify]: Simplify (- 0) into 0 12.384 * [backup-simplify]: Simplify (+ 0 0) into 0 12.385 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.385 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.386 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 12.387 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.387 * [taylor]: Taking taylor expansion of 0 in k 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 12.387 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 12.387 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.387 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.388 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.388 * [taylor]: Taking taylor expansion of 0.5 in k 12.388 * [backup-simplify]: Simplify 0.5 into 0.5 12.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.388 * [taylor]: Taking taylor expansion of k in k 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [taylor]: Taking taylor expansion of 1.0 in k 12.388 * [backup-simplify]: Simplify 1.0 into 1.0 12.388 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.388 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.388 * [taylor]: Taking taylor expansion of -1 in k 12.388 * [backup-simplify]: Simplify -1 into -1 12.388 * [taylor]: Taking taylor expansion of n in k 12.388 * [backup-simplify]: Simplify n into n 12.388 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.388 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.388 * [backup-simplify]: Simplify (+ 1 0) into 1 12.389 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.389 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.389 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.389 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.389 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.389 * [taylor]: Taking taylor expansion of 0.5 in n 12.389 * [backup-simplify]: Simplify 0.5 into 0.5 12.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.389 * [taylor]: Taking taylor expansion of k in n 12.389 * [backup-simplify]: Simplify k into k 12.389 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.389 * [taylor]: Taking taylor expansion of 1.0 in n 12.389 * [backup-simplify]: Simplify 1.0 into 1.0 12.389 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.389 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.389 * [taylor]: Taking taylor expansion of -1 in n 12.389 * [backup-simplify]: Simplify -1 into -1 12.389 * [taylor]: Taking taylor expansion of n in n 12.389 * [backup-simplify]: Simplify 0 into 0 12.389 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (/ -1 1) into -1 12.390 * [backup-simplify]: Simplify (log -1) into (log -1) 12.390 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.390 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.390 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.391 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.391 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.391 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.391 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.391 * [taylor]: Taking taylor expansion of 0.5 in n 12.391 * [backup-simplify]: Simplify 0.5 into 0.5 12.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.391 * [taylor]: Taking taylor expansion of k in n 12.391 * [backup-simplify]: Simplify k into k 12.391 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.391 * [taylor]: Taking taylor expansion of 1.0 in n 12.391 * [backup-simplify]: Simplify 1.0 into 1.0 12.391 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.391 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.391 * [taylor]: Taking taylor expansion of -1 in n 12.391 * [backup-simplify]: Simplify -1 into -1 12.391 * [taylor]: Taking taylor expansion of n in n 12.392 * [backup-simplify]: Simplify 0 into 0 12.392 * [backup-simplify]: Simplify 1 into 1 12.392 * [backup-simplify]: Simplify (/ -1 1) into -1 12.392 * [backup-simplify]: Simplify (log -1) into (log -1) 12.392 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.392 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.393 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.393 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 12.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 12.394 * [taylor]: Taking taylor expansion of 0.5 in k 12.394 * [backup-simplify]: Simplify 0.5 into 0.5 12.394 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 12.394 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 12.394 * [taylor]: Taking taylor expansion of (log -1) in k 12.394 * [taylor]: Taking taylor expansion of -1 in k 12.394 * [backup-simplify]: Simplify -1 into -1 12.394 * [backup-simplify]: Simplify (log -1) into (log -1) 12.394 * [taylor]: Taking taylor expansion of (log n) in k 12.394 * [taylor]: Taking taylor expansion of n in k 12.394 * [backup-simplify]: Simplify n into n 12.394 * [backup-simplify]: Simplify (log n) into (log n) 12.394 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.394 * [taylor]: Taking taylor expansion of k in k 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [backup-simplify]: Simplify (/ 1 1) into 1 12.394 * [taylor]: Taking taylor expansion of 1.0 in k 12.394 * [backup-simplify]: Simplify 1.0 into 1.0 12.394 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.395 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 12.395 * [backup-simplify]: Simplify (+ 1 0) into 1 12.395 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 12.395 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 12.396 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.396 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.398 * [backup-simplify]: Simplify (+ 0 0) into 0 12.398 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.400 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 12.401 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.401 * [taylor]: Taking taylor expansion of 0 in k 12.401 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.405 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.406 * [backup-simplify]: Simplify (+ 0 0) into 0 12.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.407 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.408 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 12.410 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.410 * [taylor]: Taking taylor expansion of 0 in k 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.417 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 12.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.418 * [backup-simplify]: Simplify (+ 0 0) into 0 12.419 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.420 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.421 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 12.423 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.423 * [taylor]: Taking taylor expansion of 0 in k 12.423 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 12.424 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.425 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 12.425 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 12.425 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.425 * [taylor]: Taking taylor expansion of 1.0 in k 12.425 * [backup-simplify]: Simplify 1.0 into 1.0 12.425 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.425 * [taylor]: Taking taylor expansion of k in k 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify 1 into 1 12.426 * [backup-simplify]: Simplify (/ 1 1) into 1 12.426 * [backup-simplify]: Simplify (sqrt 0) into 0 12.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.427 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.428 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.428 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.428 * [taylor]: Taking taylor expansion of 0.5 in k 12.428 * [backup-simplify]: Simplify 0.5 into 0.5 12.428 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.428 * [taylor]: Taking taylor expansion of 1.0 in k 12.428 * [backup-simplify]: Simplify 1.0 into 1.0 12.428 * [taylor]: Taking taylor expansion of k in k 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 1 into 1 12.428 * [taylor]: Taking taylor expansion of (log PI) in k 12.428 * [taylor]: Taking taylor expansion of PI in k 12.428 * [backup-simplify]: Simplify PI into PI 12.429 * [backup-simplify]: Simplify (log PI) into (log PI) 12.429 * [backup-simplify]: Simplify (- 0) into 0 12.429 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.430 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.431 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.433 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.433 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 12.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 12.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 12.433 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.433 * [taylor]: Taking taylor expansion of 0.5 in k 12.433 * [backup-simplify]: Simplify 0.5 into 0.5 12.433 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.433 * [taylor]: Taking taylor expansion of 1.0 in k 12.433 * [backup-simplify]: Simplify 1.0 into 1.0 12.433 * [taylor]: Taking taylor expansion of k in k 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.433 * [taylor]: Taking taylor expansion of 2.0 in k 12.433 * [backup-simplify]: Simplify 2.0 into 2.0 12.434 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.434 * [backup-simplify]: Simplify (- 0) into 0 12.434 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.435 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.436 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.438 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 12.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.438 * [taylor]: Taking taylor expansion of 1.0 in k 12.438 * [backup-simplify]: Simplify 1.0 into 1.0 12.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.438 * [taylor]: Taking taylor expansion of k in k 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [backup-simplify]: Simplify (/ 1 1) into 1 12.439 * [backup-simplify]: Simplify (sqrt 0) into 0 12.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.440 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.440 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.441 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.441 * [taylor]: Taking taylor expansion of 0.5 in k 12.441 * [backup-simplify]: Simplify 0.5 into 0.5 12.441 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.441 * [taylor]: Taking taylor expansion of 1.0 in k 12.441 * [backup-simplify]: Simplify 1.0 into 1.0 12.441 * [taylor]: Taking taylor expansion of k in k 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify 1 into 1 12.441 * [taylor]: Taking taylor expansion of (log PI) in k 12.441 * [taylor]: Taking taylor expansion of PI in k 12.441 * [backup-simplify]: Simplify PI into PI 12.441 * [backup-simplify]: Simplify (log PI) into (log PI) 12.442 * [backup-simplify]: Simplify (- 0) into 0 12.442 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.443 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.444 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.445 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.445 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 12.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 12.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 12.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.446 * [taylor]: Taking taylor expansion of 0.5 in k 12.446 * [backup-simplify]: Simplify 0.5 into 0.5 12.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.446 * [taylor]: Taking taylor expansion of 1.0 in k 12.446 * [backup-simplify]: Simplify 1.0 into 1.0 12.446 * [taylor]: Taking taylor expansion of k in k 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.446 * [taylor]: Taking taylor expansion of 2.0 in k 12.446 * [backup-simplify]: Simplify 2.0 into 2.0 12.446 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.447 * [backup-simplify]: Simplify (- 0) into 0 12.447 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.448 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.448 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.450 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 12.452 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 12.453 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 12.453 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.453 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.455 * [backup-simplify]: Simplify (- 1) into -1 12.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.457 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 12.468 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 12.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.470 * [backup-simplify]: Simplify (- 1) into -1 12.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.472 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.475 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 12.493 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 12.501 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 12.507 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.513 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 12.516 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.517 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 12.518 * [backup-simplify]: Simplify (- 0) into 0 12.518 * [backup-simplify]: Simplify (+ 0 0) into 0 12.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 12.528 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 12.531 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.531 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify (+ 0 0) into 0 12.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.542 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.562 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 12.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.564 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.603 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 12.635 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 12.652 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 12.656 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 12.656 * [backup-simplify]: Simplify (- 0) into 0 12.656 * [backup-simplify]: Simplify (+ 0 0) into 0 12.657 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 12.673 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 12.679 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 12.680 * [backup-simplify]: Simplify (- 0) into 0 12.680 * [backup-simplify]: Simplify (+ 0 0) into 0 12.682 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.684 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 12.700 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 12.747 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 12.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.832 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 12.949 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 13.014 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 13.126 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 13.126 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 13.126 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 13.126 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 13.126 * [taylor]: Taking taylor expansion of 1.0 in k 13.126 * [backup-simplify]: Simplify 1.0 into 1.0 13.127 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 13.127 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.127 * [taylor]: Taking taylor expansion of k in k 13.127 * [backup-simplify]: Simplify 0 into 0 13.127 * [backup-simplify]: Simplify 1 into 1 13.127 * [backup-simplify]: Simplify (sqrt 0) into 0 13.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.128 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 13.128 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 13.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 13.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 13.128 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.128 * [taylor]: Taking taylor expansion of 0.5 in k 13.128 * [backup-simplify]: Simplify 0.5 into 0.5 13.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.128 * [taylor]: Taking taylor expansion of 1.0 in k 13.128 * [backup-simplify]: Simplify 1.0 into 1.0 13.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.128 * [taylor]: Taking taylor expansion of k in k 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 1 into 1 13.128 * [backup-simplify]: Simplify (/ 1 1) into 1 13.128 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.128 * [taylor]: Taking taylor expansion of 2.0 in k 13.128 * [backup-simplify]: Simplify 2.0 into 2.0 13.129 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.129 * [backup-simplify]: Simplify (- 1) into -1 13.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.129 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.130 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 13.130 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 13.130 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 13.130 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 13.130 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 13.130 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.130 * [taylor]: Taking taylor expansion of 0.5 in k 13.130 * [backup-simplify]: Simplify 0.5 into 0.5 13.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.130 * [taylor]: Taking taylor expansion of 1.0 in k 13.130 * [backup-simplify]: Simplify 1.0 into 1.0 13.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.130 * [taylor]: Taking taylor expansion of k in k 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.131 * [backup-simplify]: Simplify (/ 1 1) into 1 13.131 * [taylor]: Taking taylor expansion of (log PI) in k 13.131 * [taylor]: Taking taylor expansion of PI in k 13.131 * [backup-simplify]: Simplify PI into PI 13.131 * [backup-simplify]: Simplify (log PI) into (log PI) 13.131 * [backup-simplify]: Simplify (- 1) into -1 13.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.132 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.132 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 13.133 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 13.133 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 13.133 * [taylor]: Taking taylor expansion of 1.0 in k 13.133 * [backup-simplify]: Simplify 1.0 into 1.0 13.133 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 13.133 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.133 * [taylor]: Taking taylor expansion of k in k 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.133 * [backup-simplify]: Simplify (sqrt 0) into 0 13.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.134 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 13.134 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 13.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 13.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 13.134 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.134 * [taylor]: Taking taylor expansion of 0.5 in k 13.134 * [backup-simplify]: Simplify 0.5 into 0.5 13.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.134 * [taylor]: Taking taylor expansion of 1.0 in k 13.134 * [backup-simplify]: Simplify 1.0 into 1.0 13.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.134 * [taylor]: Taking taylor expansion of k in k 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify 1 into 1 13.134 * [backup-simplify]: Simplify (/ 1 1) into 1 13.135 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.135 * [taylor]: Taking taylor expansion of 2.0 in k 13.135 * [backup-simplify]: Simplify 2.0 into 2.0 13.135 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.135 * [backup-simplify]: Simplify (- 1) into -1 13.135 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.136 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.136 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 13.136 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 13.136 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 13.137 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 13.137 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 13.137 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.137 * [taylor]: Taking taylor expansion of 0.5 in k 13.137 * [backup-simplify]: Simplify 0.5 into 0.5 13.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.137 * [taylor]: Taking taylor expansion of 1.0 in k 13.137 * [backup-simplify]: Simplify 1.0 into 1.0 13.137 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.137 * [taylor]: Taking taylor expansion of k in k 13.137 * [backup-simplify]: Simplify 0 into 0 13.137 * [backup-simplify]: Simplify 1 into 1 13.137 * [backup-simplify]: Simplify (/ 1 1) into 1 13.137 * [taylor]: Taking taylor expansion of (log PI) in k 13.137 * [taylor]: Taking taylor expansion of PI in k 13.137 * [backup-simplify]: Simplify PI into PI 13.137 * [backup-simplify]: Simplify (log PI) into (log PI) 13.137 * [backup-simplify]: Simplify (- 1) into -1 13.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.138 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.139 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 13.139 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 13.140 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 13.141 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 13.141 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.141 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 13.143 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.144 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.144 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.145 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 13.147 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.150 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.151 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.152 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 13.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.168 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.169 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.174 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 13.175 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 13.175 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 13.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 13.175 * [taylor]: Taking taylor expansion of 1.0 in k 13.175 * [backup-simplify]: Simplify 1.0 into 1.0 13.175 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 13.175 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 13.175 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 13.175 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 13.175 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 13.175 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.175 * [taylor]: Taking taylor expansion of 0.5 in k 13.175 * [backup-simplify]: Simplify 0.5 into 0.5 13.175 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.176 * [taylor]: Taking taylor expansion of k in k 13.176 * [backup-simplify]: Simplify 0 into 0 13.176 * [backup-simplify]: Simplify 1 into 1 13.176 * [backup-simplify]: Simplify (/ 1 1) into 1 13.176 * [taylor]: Taking taylor expansion of 1.0 in k 13.176 * [backup-simplify]: Simplify 1.0 into 1.0 13.176 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.176 * [taylor]: Taking taylor expansion of 2.0 in k 13.176 * [backup-simplify]: Simplify 2.0 into 2.0 13.177 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.177 * [backup-simplify]: Simplify (+ 1 0) into 1 13.178 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.179 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 13.179 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 13.179 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.179 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.179 * [taylor]: Taking taylor expansion of 0.5 in k 13.180 * [backup-simplify]: Simplify 0.5 into 0.5 13.180 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.180 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.180 * [taylor]: Taking taylor expansion of k in k 13.180 * [backup-simplify]: Simplify 0 into 0 13.180 * [backup-simplify]: Simplify 1 into 1 13.180 * [backup-simplify]: Simplify (/ 1 1) into 1 13.180 * [taylor]: Taking taylor expansion of 1.0 in k 13.180 * [backup-simplify]: Simplify 1.0 into 1.0 13.180 * [taylor]: Taking taylor expansion of (log PI) in k 13.180 * [taylor]: Taking taylor expansion of PI in k 13.180 * [backup-simplify]: Simplify PI into PI 13.181 * [backup-simplify]: Simplify (log PI) into (log PI) 13.181 * [backup-simplify]: Simplify (+ 1 0) into 1 13.182 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.183 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.183 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 13.183 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.183 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.183 * [taylor]: Taking taylor expansion of -1 in k 13.183 * [backup-simplify]: Simplify -1 into -1 13.183 * [taylor]: Taking taylor expansion of k in k 13.183 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify 1 into 1 13.184 * [backup-simplify]: Simplify (/ -1 1) into -1 13.184 * [backup-simplify]: Simplify (sqrt 0) into 0 13.186 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.187 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 13.187 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 13.187 * [taylor]: Taking taylor expansion of 1.0 in k 13.187 * [backup-simplify]: Simplify 1.0 into 1.0 13.187 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 13.187 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 13.187 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 13.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 13.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 13.187 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.188 * [taylor]: Taking taylor expansion of 0.5 in k 13.188 * [backup-simplify]: Simplify 0.5 into 0.5 13.188 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.188 * [taylor]: Taking taylor expansion of k in k 13.188 * [backup-simplify]: Simplify 0 into 0 13.188 * [backup-simplify]: Simplify 1 into 1 13.188 * [backup-simplify]: Simplify (/ 1 1) into 1 13.188 * [taylor]: Taking taylor expansion of 1.0 in k 13.188 * [backup-simplify]: Simplify 1.0 into 1.0 13.188 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.188 * [taylor]: Taking taylor expansion of 2.0 in k 13.188 * [backup-simplify]: Simplify 2.0 into 2.0 13.188 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.188 * [backup-simplify]: Simplify (+ 1 0) into 1 13.189 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.189 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 13.190 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 13.190 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.190 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.190 * [taylor]: Taking taylor expansion of 0.5 in k 13.190 * [backup-simplify]: Simplify 0.5 into 0.5 13.190 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.190 * [taylor]: Taking taylor expansion of k in k 13.190 * [backup-simplify]: Simplify 0 into 0 13.190 * [backup-simplify]: Simplify 1 into 1 13.190 * [backup-simplify]: Simplify (/ 1 1) into 1 13.190 * [taylor]: Taking taylor expansion of 1.0 in k 13.190 * [backup-simplify]: Simplify 1.0 into 1.0 13.190 * [taylor]: Taking taylor expansion of (log PI) in k 13.190 * [taylor]: Taking taylor expansion of PI in k 13.190 * [backup-simplify]: Simplify PI into PI 13.191 * [backup-simplify]: Simplify (log PI) into (log PI) 13.191 * [backup-simplify]: Simplify (+ 1 0) into 1 13.191 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.192 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.192 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 13.192 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.192 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.192 * [taylor]: Taking taylor expansion of -1 in k 13.192 * [backup-simplify]: Simplify -1 into -1 13.192 * [taylor]: Taking taylor expansion of k in k 13.192 * [backup-simplify]: Simplify 0 into 0 13.192 * [backup-simplify]: Simplify 1 into 1 13.193 * [backup-simplify]: Simplify (/ -1 1) into -1 13.193 * [backup-simplify]: Simplify (sqrt 0) into 0 13.194 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.194 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 13.195 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.196 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.196 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.197 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 13.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.200 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.201 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.203 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.203 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.204 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 13.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.209 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.211 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.212 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.215 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 13.215 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 13.215 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 13.215 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 13.215 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.215 * [taylor]: Taking taylor expansion of 1.0 in k 13.215 * [backup-simplify]: Simplify 1.0 into 1.0 13.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.215 * [taylor]: Taking taylor expansion of k in k 13.215 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify 1 into 1 13.215 * [backup-simplify]: Simplify (/ 1 1) into 1 13.216 * [backup-simplify]: Simplify (sqrt 0) into 0 13.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.216 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.216 * [taylor]: Taking taylor expansion of 1.0 in k 13.216 * [backup-simplify]: Simplify 1.0 into 1.0 13.216 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.216 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.216 * [taylor]: Taking taylor expansion of k in k 13.217 * [backup-simplify]: Simplify 0 into 0 13.217 * [backup-simplify]: Simplify 1 into 1 13.217 * [backup-simplify]: Simplify (/ 1 1) into 1 13.217 * [backup-simplify]: Simplify (sqrt 0) into 0 13.218 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.218 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.218 * [backup-simplify]: Simplify 0 into 0 13.220 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.220 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.224 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.226 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.234 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.234 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.235 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 13.236 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 13.236 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 13.236 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.236 * [taylor]: Taking taylor expansion of 1.0 in k 13.236 * [backup-simplify]: Simplify 1.0 into 1.0 13.236 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.236 * [taylor]: Taking taylor expansion of k in k 13.236 * [backup-simplify]: Simplify 0 into 0 13.236 * [backup-simplify]: Simplify 1 into 1 13.236 * [backup-simplify]: Simplify (sqrt 0) into 0 13.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.238 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.238 * [taylor]: Taking taylor expansion of 1.0 in k 13.238 * [backup-simplify]: Simplify 1.0 into 1.0 13.238 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.238 * [taylor]: Taking taylor expansion of k in k 13.238 * [backup-simplify]: Simplify 0 into 0 13.238 * [backup-simplify]: Simplify 1 into 1 13.238 * [backup-simplify]: Simplify (sqrt 0) into 0 13.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.240 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.240 * [backup-simplify]: Simplify 0 into 0 13.242 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.242 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.245 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.247 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.247 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.250 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.251 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.252 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 13.252 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 13.252 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 13.252 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.252 * [taylor]: Taking taylor expansion of 1.0 in k 13.252 * [backup-simplify]: Simplify 1.0 into 1.0 13.252 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.252 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.252 * [taylor]: Taking taylor expansion of -1 in k 13.252 * [backup-simplify]: Simplify -1 into -1 13.252 * [taylor]: Taking taylor expansion of k in k 13.252 * [backup-simplify]: Simplify 0 into 0 13.252 * [backup-simplify]: Simplify 1 into 1 13.252 * [backup-simplify]: Simplify (/ -1 1) into -1 13.252 * [backup-simplify]: Simplify (sqrt 0) into 0 13.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.254 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.254 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.254 * [taylor]: Taking taylor expansion of 1.0 in k 13.254 * [backup-simplify]: Simplify 1.0 into 1.0 13.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.254 * [taylor]: Taking taylor expansion of -1 in k 13.254 * [backup-simplify]: Simplify -1 into -1 13.254 * [taylor]: Taking taylor expansion of k in k 13.254 * [backup-simplify]: Simplify 0 into 0 13.254 * [backup-simplify]: Simplify 1 into 1 13.254 * [backup-simplify]: Simplify (/ -1 1) into -1 13.254 * [backup-simplify]: Simplify (sqrt 0) into 0 13.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.255 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.258 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.259 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.259 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.264 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.265 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.265 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.266 * * * [progress]: simplifying candidates 13.275 * [simplify]: Simplifying: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.283 * * [simplify]: Extracting # 0 : cost 0 13.284 * * [simplify]: Extracting # 1 : cost 0 13.285 * * [simplify]: Extracting # 2 : cost 0 13.285 * * [simplify]: Extracting # 3 : cost 0 13.286 * * [simplify]: Extracting # 4 : cost 0 13.287 * * [simplify]: Extracting # 5 : cost 0 13.288 * * [simplify]: Extracting # 6 : cost 0 13.289 * * [simplify]: Extracting # 7 : cost 0 13.291 * * [simplify]: Extracting # 8 : cost 0 13.292 * * [simplify]: Extracting # 9 : cost 0 13.293 * * [simplify]: Extracting # 10 : cost 0 13.294 * * [simplify]: Extracting # 11 : cost 0 13.295 * * [simplify]: Extracting # 12 : cost 0 13.296 * * [simplify]: Extracting # 13 : cost 0 13.297 * * [simplify]: Extracting # 14 : cost 0 13.298 * * [simplify]: Extracting # 15 : cost 0 13.300 * * [simplify]: Extracting # 16 : cost 0 13.301 * * [simplify]: Extracting # 17 : cost 0 13.302 * * [simplify]: Extracting # 18 : cost 0 13.303 * * [simplify]: Extracting # 19 : cost 0 13.304 * * [simplify]: Extracting # 20 : cost 0 13.305 * * [simplify]: Extracting # 21 : cost 0 13.306 * * [simplify]: Extracting # 22 : cost 0 13.307 * * [simplify]: Extracting # 23 : cost 0 13.308 * * [simplify]: Extracting # 24 : cost 0 13.310 * * [simplify]: Extracting # 25 : cost 0 13.311 * * [simplify]: Extracting # 26 : cost 0 13.311 * * [simplify]: Extracting # 27 : cost 0 13.312 * * [simplify]: Extracting # 28 : cost 0 13.312 * * [simplify]: Extracting # 29 : cost 0 13.313 * * [simplify]: Extracting # 30 : cost 0 13.314 * * [simplify]: Extracting # 31 : cost 0 13.314 * * [simplify]: Extracting # 32 : cost 0 13.315 * * [simplify]: Extracting # 33 : cost 0 13.315 * * [simplify]: iteration 0 : 384 enodes (cost 3225 ) 13.460 * * [simplify]: Extracting # 0 : cost 0 13.463 * * [simplify]: Extracting # 1 : cost 0 13.466 * * [simplify]: Extracting # 2 : cost 0 13.468 * * [simplify]: Extracting # 3 : cost 0 13.471 * * [simplify]: Extracting # 4 : cost 0 13.474 * * [simplify]: Extracting # 5 : cost 0 13.477 * * [simplify]: Extracting # 6 : cost 0 13.480 * * [simplify]: iteration 1 : 1040 enodes (cost 2900 ) 14.030 * * [simplify]: Extracting # 0 : cost 0 14.038 * * [simplify]: Extracting # 1 : cost 0 14.047 * * [simplify]: Extracting # 2 : cost 0 14.056 * * [simplify]: Extracting # 3 : cost 0 14.064 * * [simplify]: Extracting # 4 : cost 0 14.076 * * [simplify]: Extracting # 5 : cost 0 14.080 * * [simplify]: Extracting # 6 : cost 0 14.084 * * [simplify]: iteration 2 : 3308 enodes (cost 2698 ) 15.533 * * [simplify]: Extracting # 0 : cost 0 15.546 * * [simplify]: Extracting # 1 : cost 0 15.559 * * [simplify]: Extracting # 2 : cost 0 15.571 * * [simplify]: Extracting # 3 : cost 0 15.583 * * [simplify]: Extracting # 4 : cost 0 15.604 * * [simplify]: iteration done: 5001 enodes (cost 2678 ) 15.607 * [simplify]: Simplified to: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (fma 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5)) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (exp (+ 0 (log n))) (* 0.5 (- 1.0 k))) (fma (- (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (fma (pow k 2) (* (* (pow (log PI) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0) (fma (- (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (fma (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* +nan.0 k) k) (fma (* (pow k 2) (log 2.0)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (fma +nan.0 (- (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (* +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) (* (* k (log PI)) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (fma (- +nan.0) (/ (pow 2.0 (* 0.5 (- 1.0 k))) (/ (pow k 2) (pow (pow PI (- 1.0 k)) 0.5))) (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (/ k (pow 2.0 (* 0.5 (- 1.0 k))))) (/ (* (pow (pow PI (- 1.0 k)) 0.5) (pow 2.0 (* 0.5 (- 1.0 k)))) (pow k 3))))) (fma (- (* +nan.0 (pow 2.0 (* 0.5 (- 1.0 k))))) (pow (pow PI (- 1.0 k)) 0.5) (* +nan.0 (fma (/ (pow 2.0 (* 0.5 (- 1.0 k))) k) (pow (pow PI (- 1.0 k)) 0.5) (- (/ (pow 2.0 (* 0.5 (- 1.0 k))) (/ (pow k 2) (pow (pow PI (- 1.0 k)) 0.5))))))) (fma (- k) +nan.0 (fma (pow k 2) +nan.0 (- +nan.0))) (- (- (/ (/ +nan.0 k) k) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) 15.609 * * * [progress]: adding candidates to table 16.547 * * [progress]: iteration 4 / 4 16.547 * * * [progress]: picking best candidate 16.574 * * * * [pick]: Picked # 16.574 * * * [progress]: localizing error 16.597 * * * [progress]: generating rewritten candidates 16.597 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 16.605 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 16.617 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 16.642 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 16.708 * * * [progress]: generating series expansions 16.708 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 16.708 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 16.708 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 16.708 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 16.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 16.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 16.708 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.708 * [taylor]: Taking taylor expansion of 0.5 in k 16.708 * [backup-simplify]: Simplify 0.5 into 0.5 16.708 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.708 * [taylor]: Taking taylor expansion of 1.0 in k 16.708 * [backup-simplify]: Simplify 1.0 into 1.0 16.708 * [taylor]: Taking taylor expansion of k in k 16.708 * [backup-simplify]: Simplify 0 into 0 16.708 * [backup-simplify]: Simplify 1 into 1 16.708 * [taylor]: Taking taylor expansion of (log PI) in k 16.708 * [taylor]: Taking taylor expansion of PI in k 16.709 * [backup-simplify]: Simplify PI into PI 16.709 * [backup-simplify]: Simplify (log PI) into (log PI) 16.710 * [backup-simplify]: Simplify (- 0) into 0 16.710 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.711 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.712 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.713 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 16.713 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 16.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 16.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 16.713 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.713 * [taylor]: Taking taylor expansion of 0.5 in k 16.713 * [backup-simplify]: Simplify 0.5 into 0.5 16.714 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.714 * [taylor]: Taking taylor expansion of 1.0 in k 16.714 * [backup-simplify]: Simplify 1.0 into 1.0 16.714 * [taylor]: Taking taylor expansion of k in k 16.714 * [backup-simplify]: Simplify 0 into 0 16.714 * [backup-simplify]: Simplify 1 into 1 16.714 * [taylor]: Taking taylor expansion of (log PI) in k 16.714 * [taylor]: Taking taylor expansion of PI in k 16.714 * [backup-simplify]: Simplify PI into PI 16.714 * [backup-simplify]: Simplify (log PI) into (log PI) 16.715 * [backup-simplify]: Simplify (- 0) into 0 16.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.716 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.716 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.718 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 16.719 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 16.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.721 * [backup-simplify]: Simplify (- 1) into -1 16.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.723 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.726 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 16.735 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 16.739 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 16.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.742 * [backup-simplify]: Simplify (- 0) into 0 16.743 * [backup-simplify]: Simplify (+ 0 0) into 0 16.744 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.745 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 16.767 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 16.772 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 16.781 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 16.782 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 16.782 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 16.782 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 16.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 16.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 16.782 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.782 * [taylor]: Taking taylor expansion of 0.5 in k 16.782 * [backup-simplify]: Simplify 0.5 into 0.5 16.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.782 * [taylor]: Taking taylor expansion of 1.0 in k 16.782 * [backup-simplify]: Simplify 1.0 into 1.0 16.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.782 * [taylor]: Taking taylor expansion of k in k 16.782 * [backup-simplify]: Simplify 0 into 0 16.782 * [backup-simplify]: Simplify 1 into 1 16.783 * [backup-simplify]: Simplify (/ 1 1) into 1 16.783 * [taylor]: Taking taylor expansion of (log PI) in k 16.783 * [taylor]: Taking taylor expansion of PI in k 16.783 * [backup-simplify]: Simplify PI into PI 16.784 * [backup-simplify]: Simplify (log PI) into (log PI) 16.784 * [backup-simplify]: Simplify (- 1) into -1 16.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.785 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.786 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 16.786 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 16.786 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 16.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 16.786 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 16.787 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.787 * [taylor]: Taking taylor expansion of 0.5 in k 16.787 * [backup-simplify]: Simplify 0.5 into 0.5 16.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.787 * [taylor]: Taking taylor expansion of 1.0 in k 16.787 * [backup-simplify]: Simplify 1.0 into 1.0 16.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.787 * [taylor]: Taking taylor expansion of k in k 16.787 * [backup-simplify]: Simplify 0 into 0 16.787 * [backup-simplify]: Simplify 1 into 1 16.787 * [backup-simplify]: Simplify (/ 1 1) into 1 16.787 * [taylor]: Taking taylor expansion of (log PI) in k 16.787 * [taylor]: Taking taylor expansion of PI in k 16.787 * [backup-simplify]: Simplify PI into PI 16.788 * [backup-simplify]: Simplify (log PI) into (log PI) 16.788 * [backup-simplify]: Simplify (- 1) into -1 16.788 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.789 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.790 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 16.790 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 16.791 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 16.791 * [backup-simplify]: Simplify 0 into 0 16.791 * [backup-simplify]: Simplify 0 into 0 16.791 * [backup-simplify]: Simplify 0 into 0 16.791 * [backup-simplify]: Simplify 0 into 0 16.791 * [backup-simplify]: Simplify 0 into 0 16.791 * [backup-simplify]: Simplify 0 into 0 16.792 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 16.792 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 16.792 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 16.792 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 16.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 16.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 16.793 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.793 * [taylor]: Taking taylor expansion of 0.5 in k 16.793 * [backup-simplify]: Simplify 0.5 into 0.5 16.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.793 * [taylor]: Taking taylor expansion of k in k 16.793 * [backup-simplify]: Simplify 0 into 0 16.793 * [backup-simplify]: Simplify 1 into 1 16.793 * [backup-simplify]: Simplify (/ 1 1) into 1 16.793 * [taylor]: Taking taylor expansion of 1.0 in k 16.793 * [backup-simplify]: Simplify 1.0 into 1.0 16.793 * [taylor]: Taking taylor expansion of (log PI) in k 16.793 * [taylor]: Taking taylor expansion of PI in k 16.793 * [backup-simplify]: Simplify PI into PI 16.794 * [backup-simplify]: Simplify (log PI) into (log PI) 16.794 * [backup-simplify]: Simplify (+ 1 0) into 1 16.795 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.796 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.796 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 16.796 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 16.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 16.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 16.796 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.796 * [taylor]: Taking taylor expansion of 0.5 in k 16.796 * [backup-simplify]: Simplify 0.5 into 0.5 16.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.797 * [taylor]: Taking taylor expansion of k in k 16.797 * [backup-simplify]: Simplify 0 into 0 16.797 * [backup-simplify]: Simplify 1 into 1 16.797 * [backup-simplify]: Simplify (/ 1 1) into 1 16.797 * [taylor]: Taking taylor expansion of 1.0 in k 16.797 * [backup-simplify]: Simplify 1.0 into 1.0 16.797 * [taylor]: Taking taylor expansion of (log PI) in k 16.797 * [taylor]: Taking taylor expansion of PI in k 16.797 * [backup-simplify]: Simplify PI into PI 16.798 * [backup-simplify]: Simplify (log PI) into (log PI) 16.798 * [backup-simplify]: Simplify (+ 1 0) into 1 16.798 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.799 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.800 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 16.801 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 0 into 0 16.802 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 16.802 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 16.802 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 16.802 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 16.802 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 16.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 16.802 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 16.802 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 16.802 * [taylor]: Taking taylor expansion of 0.25 in k 16.802 * [backup-simplify]: Simplify 0.25 into 0.25 16.802 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.802 * [taylor]: Taking taylor expansion of 1.0 in k 16.802 * [backup-simplify]: Simplify 1.0 into 1.0 16.802 * [taylor]: Taking taylor expansion of k in k 16.802 * [backup-simplify]: Simplify 0 into 0 16.802 * [backup-simplify]: Simplify 1 into 1 16.802 * [taylor]: Taking taylor expansion of (log n) in k 16.802 * [taylor]: Taking taylor expansion of n in k 16.803 * [backup-simplify]: Simplify n into n 16.803 * [backup-simplify]: Simplify (log n) into (log n) 16.803 * [backup-simplify]: Simplify (- 0) into 0 16.803 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.804 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 16.804 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 16.804 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.804 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.804 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.804 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.804 * [taylor]: Taking taylor expansion of 0.25 in n 16.804 * [backup-simplify]: Simplify 0.25 into 0.25 16.804 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.804 * [taylor]: Taking taylor expansion of 1.0 in n 16.804 * [backup-simplify]: Simplify 1.0 into 1.0 16.805 * [taylor]: Taking taylor expansion of k in n 16.805 * [backup-simplify]: Simplify k into k 16.805 * [taylor]: Taking taylor expansion of (log n) in n 16.805 * [taylor]: Taking taylor expansion of n in n 16.805 * [backup-simplify]: Simplify 0 into 0 16.805 * [backup-simplify]: Simplify 1 into 1 16.805 * [backup-simplify]: Simplify (log 1) into 0 16.805 * [backup-simplify]: Simplify (- k) into (- k) 16.805 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.805 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.806 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.806 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.806 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.806 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.806 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.806 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.806 * [taylor]: Taking taylor expansion of 0.25 in n 16.806 * [backup-simplify]: Simplify 0.25 into 0.25 16.806 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.806 * [taylor]: Taking taylor expansion of 1.0 in n 16.806 * [backup-simplify]: Simplify 1.0 into 1.0 16.806 * [taylor]: Taking taylor expansion of k in n 16.806 * [backup-simplify]: Simplify k into k 16.806 * [taylor]: Taking taylor expansion of (log n) in n 16.806 * [taylor]: Taking taylor expansion of n in n 16.806 * [backup-simplify]: Simplify 0 into 0 16.806 * [backup-simplify]: Simplify 1 into 1 16.807 * [backup-simplify]: Simplify (log 1) into 0 16.807 * [backup-simplify]: Simplify (- k) into (- k) 16.807 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.807 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.807 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.807 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.807 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.807 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 16.807 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 16.807 * [taylor]: Taking taylor expansion of 0.25 in k 16.807 * [backup-simplify]: Simplify 0.25 into 0.25 16.807 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 16.808 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.808 * [taylor]: Taking taylor expansion of 1.0 in k 16.808 * [backup-simplify]: Simplify 1.0 into 1.0 16.808 * [taylor]: Taking taylor expansion of k in k 16.808 * [backup-simplify]: Simplify 0 into 0 16.808 * [backup-simplify]: Simplify 1 into 1 16.808 * [taylor]: Taking taylor expansion of (log n) in k 16.808 * [taylor]: Taking taylor expansion of n in k 16.808 * [backup-simplify]: Simplify n into n 16.808 * [backup-simplify]: Simplify (log n) into (log n) 16.808 * [backup-simplify]: Simplify (- 0) into 0 16.808 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.808 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.808 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 16.808 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.808 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 16.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.810 * [backup-simplify]: Simplify (- 0) into 0 16.810 * [backup-simplify]: Simplify (+ 0 0) into 0 16.810 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 16.811 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.811 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 16.811 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.811 * [taylor]: Taking taylor expansion of 0 in k 16.811 * [backup-simplify]: Simplify 0 into 0 16.811 * [backup-simplify]: Simplify 0 into 0 16.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.812 * [backup-simplify]: Simplify (- 1) into -1 16.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.813 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 16.813 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 16.813 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.813 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.815 * [backup-simplify]: Simplify (- 0) into 0 16.816 * [backup-simplify]: Simplify (+ 0 0) into 0 16.816 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.816 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.817 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.817 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.818 * [taylor]: Taking taylor expansion of 0 in k 16.818 * [backup-simplify]: Simplify 0 into 0 16.818 * [backup-simplify]: Simplify 0 into 0 16.818 * [backup-simplify]: Simplify 0 into 0 16.819 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.819 * [backup-simplify]: Simplify (- 0) into 0 16.819 * [backup-simplify]: Simplify (+ 0 0) into 0 16.820 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 16.820 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 16.821 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.821 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.822 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 16.822 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 16.822 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 16.822 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.822 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.822 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.822 * [taylor]: Taking taylor expansion of 0.25 in k 16.822 * [backup-simplify]: Simplify 0.25 into 0.25 16.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.822 * [taylor]: Taking taylor expansion of 1.0 in k 16.822 * [backup-simplify]: Simplify 1.0 into 1.0 16.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.822 * [taylor]: Taking taylor expansion of k in k 16.822 * [backup-simplify]: Simplify 0 into 0 16.822 * [backup-simplify]: Simplify 1 into 1 16.823 * [backup-simplify]: Simplify (/ 1 1) into 1 16.823 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.823 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.823 * [taylor]: Taking taylor expansion of n in k 16.823 * [backup-simplify]: Simplify n into n 16.823 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.823 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.823 * [backup-simplify]: Simplify (- 1) into -1 16.823 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.824 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.824 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 16.824 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.824 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.824 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.824 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.824 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.824 * [taylor]: Taking taylor expansion of 0.25 in n 16.824 * [backup-simplify]: Simplify 0.25 into 0.25 16.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.824 * [taylor]: Taking taylor expansion of 1.0 in n 16.824 * [backup-simplify]: Simplify 1.0 into 1.0 16.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.824 * [taylor]: Taking taylor expansion of k in n 16.824 * [backup-simplify]: Simplify k into k 16.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.824 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.824 * [taylor]: Taking taylor expansion of n in n 16.824 * [backup-simplify]: Simplify 0 into 0 16.824 * [backup-simplify]: Simplify 1 into 1 16.825 * [backup-simplify]: Simplify (/ 1 1) into 1 16.825 * [backup-simplify]: Simplify (log 1) into 0 16.825 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.825 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.825 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.825 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.825 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.826 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.826 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.826 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.826 * [taylor]: Taking taylor expansion of 0.25 in n 16.826 * [backup-simplify]: Simplify 0.25 into 0.25 16.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.826 * [taylor]: Taking taylor expansion of 1.0 in n 16.826 * [backup-simplify]: Simplify 1.0 into 1.0 16.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.826 * [taylor]: Taking taylor expansion of k in n 16.826 * [backup-simplify]: Simplify k into k 16.826 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.826 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.826 * [taylor]: Taking taylor expansion of n in n 16.826 * [backup-simplify]: Simplify 0 into 0 16.826 * [backup-simplify]: Simplify 1 into 1 16.826 * [backup-simplify]: Simplify (/ 1 1) into 1 16.826 * [backup-simplify]: Simplify (log 1) into 0 16.826 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.826 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.827 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.827 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.827 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.827 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 16.827 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 16.827 * [taylor]: Taking taylor expansion of -0.25 in k 16.827 * [backup-simplify]: Simplify -0.25 into -0.25 16.827 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 16.827 * [taylor]: Taking taylor expansion of (log n) in k 16.827 * [taylor]: Taking taylor expansion of n in k 16.827 * [backup-simplify]: Simplify n into n 16.827 * [backup-simplify]: Simplify (log n) into (log n) 16.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.827 * [taylor]: Taking taylor expansion of 1.0 in k 16.827 * [backup-simplify]: Simplify 1.0 into 1.0 16.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.827 * [taylor]: Taking taylor expansion of k in k 16.827 * [backup-simplify]: Simplify 0 into 0 16.827 * [backup-simplify]: Simplify 1 into 1 16.828 * [backup-simplify]: Simplify (/ 1 1) into 1 16.828 * [backup-simplify]: Simplify (- 1) into -1 16.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.828 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 16.828 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 16.828 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.829 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.830 * [backup-simplify]: Simplify (- 0) into 0 16.831 * [backup-simplify]: Simplify (+ 0 0) into 0 16.831 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.831 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 16.832 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.832 * [taylor]: Taking taylor expansion of 0 in k 16.832 * [backup-simplify]: Simplify 0 into 0 16.832 * [backup-simplify]: Simplify 0 into 0 16.832 * [backup-simplify]: Simplify 0 into 0 16.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.836 * [backup-simplify]: Simplify (- 0) into 0 16.836 * [backup-simplify]: Simplify (+ 0 0) into 0 16.837 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.837 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.839 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.839 * [taylor]: Taking taylor expansion of 0 in k 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.845 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.846 * [backup-simplify]: Simplify (- 0) into 0 16.847 * [backup-simplify]: Simplify (+ 0 0) into 0 16.848 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.849 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.851 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.851 * [taylor]: Taking taylor expansion of 0 in k 16.851 * [backup-simplify]: Simplify 0 into 0 16.851 * [backup-simplify]: Simplify 0 into 0 16.852 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 16.852 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 16.852 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 16.852 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.852 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.852 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.852 * [taylor]: Taking taylor expansion of 0.25 in k 16.852 * [backup-simplify]: Simplify 0.25 into 0.25 16.852 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.852 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.852 * [taylor]: Taking taylor expansion of k in k 16.852 * [backup-simplify]: Simplify 0 into 0 16.852 * [backup-simplify]: Simplify 1 into 1 16.853 * [backup-simplify]: Simplify (/ 1 1) into 1 16.853 * [taylor]: Taking taylor expansion of 1.0 in k 16.853 * [backup-simplify]: Simplify 1.0 into 1.0 16.853 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.853 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.853 * [taylor]: Taking taylor expansion of -1 in k 16.853 * [backup-simplify]: Simplify -1 into -1 16.853 * [taylor]: Taking taylor expansion of n in k 16.853 * [backup-simplify]: Simplify n into n 16.853 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.853 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.854 * [backup-simplify]: Simplify (+ 1 0) into 1 16.854 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.854 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 16.854 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.854 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.854 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.854 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.855 * [taylor]: Taking taylor expansion of 0.25 in n 16.855 * [backup-simplify]: Simplify 0.25 into 0.25 16.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.855 * [taylor]: Taking taylor expansion of k in n 16.855 * [backup-simplify]: Simplify k into k 16.855 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.855 * [taylor]: Taking taylor expansion of 1.0 in n 16.855 * [backup-simplify]: Simplify 1.0 into 1.0 16.855 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.855 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.855 * [taylor]: Taking taylor expansion of -1 in n 16.855 * [backup-simplify]: Simplify -1 into -1 16.855 * [taylor]: Taking taylor expansion of n in n 16.855 * [backup-simplify]: Simplify 0 into 0 16.855 * [backup-simplify]: Simplify 1 into 1 16.855 * [backup-simplify]: Simplify (/ -1 1) into -1 16.856 * [backup-simplify]: Simplify (log -1) into (log -1) 16.856 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.856 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.857 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.857 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.858 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.858 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.858 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.858 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.858 * [taylor]: Taking taylor expansion of 0.25 in n 16.858 * [backup-simplify]: Simplify 0.25 into 0.25 16.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.858 * [taylor]: Taking taylor expansion of k in n 16.858 * [backup-simplify]: Simplify k into k 16.858 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.858 * [taylor]: Taking taylor expansion of 1.0 in n 16.858 * [backup-simplify]: Simplify 1.0 into 1.0 16.859 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.859 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.859 * [taylor]: Taking taylor expansion of -1 in n 16.859 * [backup-simplify]: Simplify -1 into -1 16.859 * [taylor]: Taking taylor expansion of n in n 16.859 * [backup-simplify]: Simplify 0 into 0 16.859 * [backup-simplify]: Simplify 1 into 1 16.859 * [backup-simplify]: Simplify (/ -1 1) into -1 16.859 * [backup-simplify]: Simplify (log -1) into (log -1) 16.860 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.860 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.861 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.862 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.862 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 16.862 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 16.862 * [taylor]: Taking taylor expansion of 0.25 in k 16.862 * [backup-simplify]: Simplify 0.25 into 0.25 16.862 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 16.862 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 16.862 * [taylor]: Taking taylor expansion of (log -1) in k 16.862 * [taylor]: Taking taylor expansion of -1 in k 16.862 * [backup-simplify]: Simplify -1 into -1 16.863 * [backup-simplify]: Simplify (log -1) into (log -1) 16.863 * [taylor]: Taking taylor expansion of (log n) in k 16.863 * [taylor]: Taking taylor expansion of n in k 16.863 * [backup-simplify]: Simplify n into n 16.863 * [backup-simplify]: Simplify (log n) into (log n) 16.863 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.863 * [taylor]: Taking taylor expansion of k in k 16.863 * [backup-simplify]: Simplify 0 into 0 16.863 * [backup-simplify]: Simplify 1 into 1 16.863 * [backup-simplify]: Simplify (/ 1 1) into 1 16.863 * [taylor]: Taking taylor expansion of 1.0 in k 16.864 * [backup-simplify]: Simplify 1.0 into 1.0 16.864 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.864 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 16.864 * [backup-simplify]: Simplify (+ 1 0) into 1 16.865 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 16.865 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 16.866 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.867 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.869 * [backup-simplify]: Simplify (+ 0 0) into 0 16.870 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.871 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 16.872 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.872 * [taylor]: Taking taylor expansion of 0 in k 16.872 * [backup-simplify]: Simplify 0 into 0 16.872 * [backup-simplify]: Simplify 0 into 0 16.872 * [backup-simplify]: Simplify 0 into 0 16.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 16.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.874 * [backup-simplify]: Simplify (+ 0 0) into 0 16.875 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.875 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.876 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 16.877 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.877 * [taylor]: Taking taylor expansion of 0 in k 16.877 * [backup-simplify]: Simplify 0 into 0 16.877 * [backup-simplify]: Simplify 0 into 0 16.877 * [backup-simplify]: Simplify 0 into 0 16.877 * [backup-simplify]: Simplify 0 into 0 16.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.881 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 16.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.881 * [backup-simplify]: Simplify (+ 0 0) into 0 16.882 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.882 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.883 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 16.884 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.884 * [taylor]: Taking taylor expansion of 0 in k 16.884 * [backup-simplify]: Simplify 0 into 0 16.884 * [backup-simplify]: Simplify 0 into 0 16.885 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 16.885 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 16.885 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 16.885 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 16.885 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 16.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 16.885 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 16.885 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 16.885 * [taylor]: Taking taylor expansion of 0.25 in k 16.885 * [backup-simplify]: Simplify 0.25 into 0.25 16.885 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.885 * [taylor]: Taking taylor expansion of 1.0 in k 16.885 * [backup-simplify]: Simplify 1.0 into 1.0 16.885 * [taylor]: Taking taylor expansion of k in k 16.885 * [backup-simplify]: Simplify 0 into 0 16.885 * [backup-simplify]: Simplify 1 into 1 16.885 * [taylor]: Taking taylor expansion of (log n) in k 16.885 * [taylor]: Taking taylor expansion of n in k 16.885 * [backup-simplify]: Simplify n into n 16.885 * [backup-simplify]: Simplify (log n) into (log n) 16.886 * [backup-simplify]: Simplify (- 0) into 0 16.886 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.892 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 16.892 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 16.892 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.892 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.892 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.892 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.892 * [taylor]: Taking taylor expansion of 0.25 in n 16.892 * [backup-simplify]: Simplify 0.25 into 0.25 16.892 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.892 * [taylor]: Taking taylor expansion of 1.0 in n 16.892 * [backup-simplify]: Simplify 1.0 into 1.0 16.892 * [taylor]: Taking taylor expansion of k in n 16.892 * [backup-simplify]: Simplify k into k 16.892 * [taylor]: Taking taylor expansion of (log n) in n 16.892 * [taylor]: Taking taylor expansion of n in n 16.892 * [backup-simplify]: Simplify 0 into 0 16.892 * [backup-simplify]: Simplify 1 into 1 16.893 * [backup-simplify]: Simplify (log 1) into 0 16.893 * [backup-simplify]: Simplify (- k) into (- k) 16.893 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.893 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.893 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.893 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.893 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.893 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.893 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.893 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.894 * [taylor]: Taking taylor expansion of 0.25 in n 16.894 * [backup-simplify]: Simplify 0.25 into 0.25 16.894 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.894 * [taylor]: Taking taylor expansion of 1.0 in n 16.894 * [backup-simplify]: Simplify 1.0 into 1.0 16.894 * [taylor]: Taking taylor expansion of k in n 16.894 * [backup-simplify]: Simplify k into k 16.894 * [taylor]: Taking taylor expansion of (log n) in n 16.894 * [taylor]: Taking taylor expansion of n in n 16.894 * [backup-simplify]: Simplify 0 into 0 16.894 * [backup-simplify]: Simplify 1 into 1 16.894 * [backup-simplify]: Simplify (log 1) into 0 16.894 * [backup-simplify]: Simplify (- k) into (- k) 16.894 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.894 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.894 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.895 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.895 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 16.895 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 16.895 * [taylor]: Taking taylor expansion of 0.25 in k 16.895 * [backup-simplify]: Simplify 0.25 into 0.25 16.895 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 16.895 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.895 * [taylor]: Taking taylor expansion of 1.0 in k 16.895 * [backup-simplify]: Simplify 1.0 into 1.0 16.895 * [taylor]: Taking taylor expansion of k in k 16.895 * [backup-simplify]: Simplify 0 into 0 16.895 * [backup-simplify]: Simplify 1 into 1 16.895 * [taylor]: Taking taylor expansion of (log n) in k 16.895 * [taylor]: Taking taylor expansion of n in k 16.895 * [backup-simplify]: Simplify n into n 16.895 * [backup-simplify]: Simplify (log n) into (log n) 16.895 * [backup-simplify]: Simplify (- 0) into 0 16.895 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.896 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.896 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 16.896 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.896 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 16.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.897 * [backup-simplify]: Simplify (- 0) into 0 16.897 * [backup-simplify]: Simplify (+ 0 0) into 0 16.897 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 16.898 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.898 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 16.898 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.898 * [taylor]: Taking taylor expansion of 0 in k 16.898 * [backup-simplify]: Simplify 0 into 0 16.898 * [backup-simplify]: Simplify 0 into 0 16.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.900 * [backup-simplify]: Simplify (- 1) into -1 16.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.901 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 16.901 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 16.901 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.902 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.905 * [backup-simplify]: Simplify (- 0) into 0 16.905 * [backup-simplify]: Simplify (+ 0 0) into 0 16.906 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.907 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.909 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.909 * [taylor]: Taking taylor expansion of 0 in k 16.909 * [backup-simplify]: Simplify 0 into 0 16.909 * [backup-simplify]: Simplify 0 into 0 16.909 * [backup-simplify]: Simplify 0 into 0 16.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.911 * [backup-simplify]: Simplify (- 0) into 0 16.912 * [backup-simplify]: Simplify (+ 0 0) into 0 16.913 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 16.913 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 16.914 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.915 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.916 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 16.916 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 16.917 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 16.917 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.917 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.917 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.917 * [taylor]: Taking taylor expansion of 0.25 in k 16.917 * [backup-simplify]: Simplify 0.25 into 0.25 16.917 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.917 * [taylor]: Taking taylor expansion of 1.0 in k 16.917 * [backup-simplify]: Simplify 1.0 into 1.0 16.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.917 * [taylor]: Taking taylor expansion of k in k 16.917 * [backup-simplify]: Simplify 0 into 0 16.917 * [backup-simplify]: Simplify 1 into 1 16.918 * [backup-simplify]: Simplify (/ 1 1) into 1 16.918 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.918 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.918 * [taylor]: Taking taylor expansion of n in k 16.918 * [backup-simplify]: Simplify n into n 16.918 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.918 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.918 * [backup-simplify]: Simplify (- 1) into -1 16.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.919 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.919 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 16.920 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.920 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.920 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.920 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.920 * [taylor]: Taking taylor expansion of 0.25 in n 16.920 * [backup-simplify]: Simplify 0.25 into 0.25 16.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.920 * [taylor]: Taking taylor expansion of 1.0 in n 16.920 * [backup-simplify]: Simplify 1.0 into 1.0 16.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.920 * [taylor]: Taking taylor expansion of k in n 16.920 * [backup-simplify]: Simplify k into k 16.920 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.920 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.920 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.920 * [taylor]: Taking taylor expansion of n in n 16.920 * [backup-simplify]: Simplify 0 into 0 16.920 * [backup-simplify]: Simplify 1 into 1 16.921 * [backup-simplify]: Simplify (/ 1 1) into 1 16.921 * [backup-simplify]: Simplify (log 1) into 0 16.922 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.922 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.922 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.922 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.923 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.923 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.923 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.923 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.923 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.923 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.923 * [taylor]: Taking taylor expansion of 0.25 in n 16.923 * [backup-simplify]: Simplify 0.25 into 0.25 16.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.923 * [taylor]: Taking taylor expansion of 1.0 in n 16.923 * [backup-simplify]: Simplify 1.0 into 1.0 16.923 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.923 * [taylor]: Taking taylor expansion of k in n 16.923 * [backup-simplify]: Simplify k into k 16.923 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.923 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.923 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.923 * [taylor]: Taking taylor expansion of n in n 16.923 * [backup-simplify]: Simplify 0 into 0 16.923 * [backup-simplify]: Simplify 1 into 1 16.924 * [backup-simplify]: Simplify (/ 1 1) into 1 16.925 * [backup-simplify]: Simplify (log 1) into 0 16.925 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.925 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.925 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.926 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.926 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.926 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 16.926 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 16.926 * [taylor]: Taking taylor expansion of -0.25 in k 16.926 * [backup-simplify]: Simplify -0.25 into -0.25 16.926 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 16.926 * [taylor]: Taking taylor expansion of (log n) in k 16.926 * [taylor]: Taking taylor expansion of n in k 16.926 * [backup-simplify]: Simplify n into n 16.926 * [backup-simplify]: Simplify (log n) into (log n) 16.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.926 * [taylor]: Taking taylor expansion of 1.0 in k 16.926 * [backup-simplify]: Simplify 1.0 into 1.0 16.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.926 * [taylor]: Taking taylor expansion of k in k 16.927 * [backup-simplify]: Simplify 0 into 0 16.927 * [backup-simplify]: Simplify 1 into 1 16.927 * [backup-simplify]: Simplify (/ 1 1) into 1 16.927 * [backup-simplify]: Simplify (- 1) into -1 16.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.928 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 16.928 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 16.928 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.928 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.931 * [backup-simplify]: Simplify (- 0) into 0 16.932 * [backup-simplify]: Simplify (+ 0 0) into 0 16.932 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.933 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.933 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 16.934 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.934 * [taylor]: Taking taylor expansion of 0 in k 16.934 * [backup-simplify]: Simplify 0 into 0 16.934 * [backup-simplify]: Simplify 0 into 0 16.934 * [backup-simplify]: Simplify 0 into 0 16.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.938 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.939 * [backup-simplify]: Simplify (- 0) into 0 16.939 * [backup-simplify]: Simplify (+ 0 0) into 0 16.940 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.941 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.943 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.943 * [taylor]: Taking taylor expansion of 0 in k 16.943 * [backup-simplify]: Simplify 0 into 0 16.943 * [backup-simplify]: Simplify 0 into 0 16.943 * [backup-simplify]: Simplify 0 into 0 16.943 * [backup-simplify]: Simplify 0 into 0 16.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.950 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.951 * [backup-simplify]: Simplify (- 0) into 0 16.951 * [backup-simplify]: Simplify (+ 0 0) into 0 16.953 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.953 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.954 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.956 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.956 * [taylor]: Taking taylor expansion of 0 in k 16.956 * [backup-simplify]: Simplify 0 into 0 16.956 * [backup-simplify]: Simplify 0 into 0 16.956 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 16.957 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 16.957 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 16.957 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.957 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.957 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.957 * [taylor]: Taking taylor expansion of 0.25 in k 16.957 * [backup-simplify]: Simplify 0.25 into 0.25 16.957 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.957 * [taylor]: Taking taylor expansion of k in k 16.957 * [backup-simplify]: Simplify 0 into 0 16.957 * [backup-simplify]: Simplify 1 into 1 16.958 * [backup-simplify]: Simplify (/ 1 1) into 1 16.958 * [taylor]: Taking taylor expansion of 1.0 in k 16.958 * [backup-simplify]: Simplify 1.0 into 1.0 16.958 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.958 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.958 * [taylor]: Taking taylor expansion of -1 in k 16.958 * [backup-simplify]: Simplify -1 into -1 16.958 * [taylor]: Taking taylor expansion of n in k 16.958 * [backup-simplify]: Simplify n into n 16.958 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.958 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.958 * [backup-simplify]: Simplify (+ 1 0) into 1 16.959 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.959 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 16.959 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.959 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.959 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.959 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.959 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.959 * [taylor]: Taking taylor expansion of 0.25 in n 16.959 * [backup-simplify]: Simplify 0.25 into 0.25 16.959 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.960 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.960 * [taylor]: Taking taylor expansion of k in n 16.960 * [backup-simplify]: Simplify k into k 16.960 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.960 * [taylor]: Taking taylor expansion of 1.0 in n 16.960 * [backup-simplify]: Simplify 1.0 into 1.0 16.960 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.960 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.960 * [taylor]: Taking taylor expansion of -1 in n 16.960 * [backup-simplify]: Simplify -1 into -1 16.960 * [taylor]: Taking taylor expansion of n in n 16.960 * [backup-simplify]: Simplify 0 into 0 16.960 * [backup-simplify]: Simplify 1 into 1 16.960 * [backup-simplify]: Simplify (/ -1 1) into -1 16.961 * [backup-simplify]: Simplify (log -1) into (log -1) 16.961 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.961 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.962 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.963 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.963 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.963 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.963 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.963 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.963 * [taylor]: Taking taylor expansion of 0.25 in n 16.963 * [backup-simplify]: Simplify 0.25 into 0.25 16.963 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.963 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.963 * [taylor]: Taking taylor expansion of k in n 16.963 * [backup-simplify]: Simplify k into k 16.964 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.964 * [taylor]: Taking taylor expansion of 1.0 in n 16.964 * [backup-simplify]: Simplify 1.0 into 1.0 16.964 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.964 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.964 * [taylor]: Taking taylor expansion of -1 in n 16.964 * [backup-simplify]: Simplify -1 into -1 16.964 * [taylor]: Taking taylor expansion of n in n 16.964 * [backup-simplify]: Simplify 0 into 0 16.964 * [backup-simplify]: Simplify 1 into 1 16.964 * [backup-simplify]: Simplify (/ -1 1) into -1 16.965 * [backup-simplify]: Simplify (log -1) into (log -1) 16.965 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.965 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.966 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.967 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.967 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 16.967 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 16.967 * [taylor]: Taking taylor expansion of 0.25 in k 16.967 * [backup-simplify]: Simplify 0.25 into 0.25 16.967 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 16.967 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 16.967 * [taylor]: Taking taylor expansion of (log -1) in k 16.967 * [taylor]: Taking taylor expansion of -1 in k 16.967 * [backup-simplify]: Simplify -1 into -1 16.968 * [backup-simplify]: Simplify (log -1) into (log -1) 16.968 * [taylor]: Taking taylor expansion of (log n) in k 16.968 * [taylor]: Taking taylor expansion of n in k 16.968 * [backup-simplify]: Simplify n into n 16.968 * [backup-simplify]: Simplify (log n) into (log n) 16.968 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.968 * [taylor]: Taking taylor expansion of k in k 16.968 * [backup-simplify]: Simplify 0 into 0 16.968 * [backup-simplify]: Simplify 1 into 1 16.969 * [backup-simplify]: Simplify (/ 1 1) into 1 16.969 * [taylor]: Taking taylor expansion of 1.0 in k 16.969 * [backup-simplify]: Simplify 1.0 into 1.0 16.969 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.969 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 16.970 * [backup-simplify]: Simplify (+ 1 0) into 1 16.971 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 16.971 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 16.972 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.972 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.975 * [backup-simplify]: Simplify (+ 0 0) into 0 16.976 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.977 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 16.978 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.978 * [taylor]: Taking taylor expansion of 0 in k 16.978 * [backup-simplify]: Simplify 0 into 0 16.978 * [backup-simplify]: Simplify 0 into 0 16.978 * [backup-simplify]: Simplify 0 into 0 16.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 16.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.983 * [backup-simplify]: Simplify (+ 0 0) into 0 16.984 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.985 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.986 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 16.988 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.988 * [taylor]: Taking taylor expansion of 0 in k 16.988 * [backup-simplify]: Simplify 0 into 0 16.988 * [backup-simplify]: Simplify 0 into 0 16.988 * [backup-simplify]: Simplify 0 into 0 16.988 * [backup-simplify]: Simplify 0 into 0 16.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.994 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 16.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.995 * [backup-simplify]: Simplify (+ 0 0) into 0 16.996 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.998 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 17.000 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.000 * [taylor]: Taking taylor expansion of 0 in k 17.000 * [backup-simplify]: Simplify 0 into 0 17.001 * [backup-simplify]: Simplify 0 into 0 17.001 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 17.001 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 17.002 * [backup-simplify]: Simplify (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) into (pow (pow n (* 0.25 (- 1.0 k))) 2) 17.002 * [approximate]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in (n k) around 0 17.002 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in k 17.002 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 17.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 17.002 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 17.002 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 17.002 * [taylor]: Taking taylor expansion of 0.25 in k 17.002 * [backup-simplify]: Simplify 0.25 into 0.25 17.002 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.002 * [taylor]: Taking taylor expansion of 1.0 in k 17.002 * [backup-simplify]: Simplify 1.0 into 1.0 17.002 * [taylor]: Taking taylor expansion of k in k 17.002 * [backup-simplify]: Simplify 0 into 0 17.002 * [backup-simplify]: Simplify 1 into 1 17.002 * [taylor]: Taking taylor expansion of (log n) in k 17.002 * [taylor]: Taking taylor expansion of n in k 17.002 * [backup-simplify]: Simplify n into n 17.002 * [backup-simplify]: Simplify (log n) into (log n) 17.003 * [backup-simplify]: Simplify (- 0) into 0 17.003 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.003 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 17.003 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 17.003 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 17.003 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 17.003 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 17.003 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 17.003 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 17.003 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 17.003 * [taylor]: Taking taylor expansion of 0.25 in n 17.003 * [backup-simplify]: Simplify 0.25 into 0.25 17.003 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.003 * [taylor]: Taking taylor expansion of 1.0 in n 17.003 * [backup-simplify]: Simplify 1.0 into 1.0 17.003 * [taylor]: Taking taylor expansion of k in n 17.003 * [backup-simplify]: Simplify k into k 17.003 * [taylor]: Taking taylor expansion of (log n) in n 17.003 * [taylor]: Taking taylor expansion of n in n 17.003 * [backup-simplify]: Simplify 0 into 0 17.003 * [backup-simplify]: Simplify 1 into 1 17.004 * [backup-simplify]: Simplify (log 1) into 0 17.004 * [backup-simplify]: Simplify (- k) into (- k) 17.004 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.004 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 17.004 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.004 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 17.004 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 17.004 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 17.004 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 17.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 17.004 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 17.004 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 17.004 * [taylor]: Taking taylor expansion of 0.25 in n 17.005 * [backup-simplify]: Simplify 0.25 into 0.25 17.005 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.005 * [taylor]: Taking taylor expansion of 1.0 in n 17.005 * [backup-simplify]: Simplify 1.0 into 1.0 17.005 * [taylor]: Taking taylor expansion of k in n 17.005 * [backup-simplify]: Simplify k into k 17.005 * [taylor]: Taking taylor expansion of (log n) in n 17.005 * [taylor]: Taking taylor expansion of n in n 17.005 * [backup-simplify]: Simplify 0 into 0 17.005 * [backup-simplify]: Simplify 1 into 1 17.005 * [backup-simplify]: Simplify (log 1) into 0 17.005 * [backup-simplify]: Simplify (- k) into (- k) 17.005 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.005 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 17.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.005 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 17.005 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 17.006 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (exp (* 0.25 (* (- 1.0 k) (log n))))) into (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) 17.006 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) in k 17.006 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 17.006 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 17.006 * [taylor]: Taking taylor expansion of 0.25 in k 17.006 * [backup-simplify]: Simplify 0.25 into 0.25 17.006 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 17.006 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.006 * [taylor]: Taking taylor expansion of 1.0 in k 17.006 * [backup-simplify]: Simplify 1.0 into 1.0 17.006 * [taylor]: Taking taylor expansion of k in k 17.006 * [backup-simplify]: Simplify 0 into 0 17.006 * [backup-simplify]: Simplify 1 into 1 17.006 * [taylor]: Taking taylor expansion of (log n) in k 17.006 * [taylor]: Taking taylor expansion of n in k 17.006 * [backup-simplify]: Simplify n into n 17.006 * [backup-simplify]: Simplify (log n) into (log n) 17.006 * [backup-simplify]: Simplify (- 0) into 0 17.007 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.007 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.007 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 17.007 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 17.007 * [backup-simplify]: Simplify (* (pow n 0.25) (pow n 0.25)) into (pow (pow n 1.0) 0.5) 17.007 * [backup-simplify]: Simplify (pow (pow n 1.0) 0.5) into (pow (pow n 1.0) 0.5) 17.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.008 * [backup-simplify]: Simplify (- 0) into 0 17.008 * [backup-simplify]: Simplify (+ 0 0) into 0 17.009 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 17.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.009 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 17.010 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.010 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n)))))) into 0 17.010 * [taylor]: Taking taylor expansion of 0 in k 17.010 * [backup-simplify]: Simplify 0 into 0 17.010 * [backup-simplify]: Simplify 0 into 0 17.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.011 * [backup-simplify]: Simplify (- 1) into -1 17.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.011 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 17.011 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 17.012 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 17.012 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (pow n 0.25))) into (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) 17.012 * [backup-simplify]: Simplify (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) into (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) 17.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.014 * [backup-simplify]: Simplify (- 0) into 0 17.014 * [backup-simplify]: Simplify (+ 0 0) into 0 17.015 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 17.015 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.015 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 17.016 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.017 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n))))))) into 0 17.017 * [taylor]: Taking taylor expansion of 0 in k 17.017 * [backup-simplify]: Simplify 0 into 0 17.017 * [backup-simplify]: Simplify 0 into 0 17.017 * [backup-simplify]: Simplify 0 into 0 17.018 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.018 * [backup-simplify]: Simplify (- 0) into 0 17.018 * [backup-simplify]: Simplify (+ 0 0) into 0 17.019 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 17.019 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 17.020 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 17.021 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2)))) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow n 0.25)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 17.021 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 17.022 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* k 1)) (pow (pow n 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 17.023 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) into (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) 17.023 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 17.023 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 17.023 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 17.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 17.023 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 17.023 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 17.023 * [taylor]: Taking taylor expansion of 0.25 in k 17.023 * [backup-simplify]: Simplify 0.25 into 0.25 17.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.023 * [taylor]: Taking taylor expansion of 1.0 in k 17.023 * [backup-simplify]: Simplify 1.0 into 1.0 17.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.023 * [taylor]: Taking taylor expansion of k in k 17.023 * [backup-simplify]: Simplify 0 into 0 17.023 * [backup-simplify]: Simplify 1 into 1 17.024 * [backup-simplify]: Simplify (/ 1 1) into 1 17.024 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.024 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.024 * [taylor]: Taking taylor expansion of n in k 17.024 * [backup-simplify]: Simplify n into n 17.024 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.024 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.024 * [backup-simplify]: Simplify (- 1) into -1 17.025 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.025 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 17.025 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 17.025 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 17.026 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 17.026 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 17.026 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 17.026 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 17.026 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 17.026 * [taylor]: Taking taylor expansion of 0.25 in n 17.026 * [backup-simplify]: Simplify 0.25 into 0.25 17.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.026 * [taylor]: Taking taylor expansion of 1.0 in n 17.026 * [backup-simplify]: Simplify 1.0 into 1.0 17.026 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.026 * [taylor]: Taking taylor expansion of k in n 17.026 * [backup-simplify]: Simplify k into k 17.026 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.026 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.026 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.026 * [taylor]: Taking taylor expansion of n in n 17.026 * [backup-simplify]: Simplify 0 into 0 17.026 * [backup-simplify]: Simplify 1 into 1 17.027 * [backup-simplify]: Simplify (/ 1 1) into 1 17.027 * [backup-simplify]: Simplify (log 1) into 0 17.027 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.027 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.027 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 17.028 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.028 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 17.028 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 17.028 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 17.028 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 17.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 17.028 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 17.028 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 17.028 * [taylor]: Taking taylor expansion of 0.25 in n 17.028 * [backup-simplify]: Simplify 0.25 into 0.25 17.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.028 * [taylor]: Taking taylor expansion of 1.0 in n 17.028 * [backup-simplify]: Simplify 1.0 into 1.0 17.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.028 * [taylor]: Taking taylor expansion of k in n 17.029 * [backup-simplify]: Simplify k into k 17.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.029 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.029 * [taylor]: Taking taylor expansion of n in n 17.029 * [backup-simplify]: Simplify 0 into 0 17.029 * [backup-simplify]: Simplify 1 into 1 17.029 * [backup-simplify]: Simplify (/ 1 1) into 1 17.029 * [backup-simplify]: Simplify (log 1) into 0 17.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.030 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.030 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 17.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.030 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 17.031 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 17.031 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 17.031 * [taylor]: Taking taylor expansion of (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) in k 17.031 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 17.031 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 17.031 * [taylor]: Taking taylor expansion of -0.25 in k 17.031 * [backup-simplify]: Simplify -0.25 into -0.25 17.031 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 17.031 * [taylor]: Taking taylor expansion of (log n) in k 17.031 * [taylor]: Taking taylor expansion of n in k 17.031 * [backup-simplify]: Simplify n into n 17.031 * [backup-simplify]: Simplify (log n) into (log n) 17.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.031 * [taylor]: Taking taylor expansion of 1.0 in k 17.032 * [backup-simplify]: Simplify 1.0 into 1.0 17.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.032 * [taylor]: Taking taylor expansion of k in k 17.032 * [backup-simplify]: Simplify 0 into 0 17.032 * [backup-simplify]: Simplify 1 into 1 17.032 * [backup-simplify]: Simplify (/ 1 1) into 1 17.033 * [backup-simplify]: Simplify (- 1) into -1 17.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.033 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 17.033 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 17.033 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 17.034 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 17.034 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 17.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.037 * [backup-simplify]: Simplify (- 0) into 0 17.037 * [backup-simplify]: Simplify (+ 0 0) into 0 17.038 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 17.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.038 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 17.039 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.040 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 17.040 * [taylor]: Taking taylor expansion of 0 in k 17.040 * [backup-simplify]: Simplify 0 into 0 17.040 * [backup-simplify]: Simplify 0 into 0 17.040 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 17.040 * [backup-simplify]: Simplify 0 into 0 17.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.055 * [backup-simplify]: Simplify (- 0) into 0 17.055 * [backup-simplify]: Simplify (+ 0 0) into 0 17.056 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 17.057 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.057 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 17.059 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.059 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 17.059 * [taylor]: Taking taylor expansion of 0 in k 17.059 * [backup-simplify]: Simplify 0 into 0 17.059 * [backup-simplify]: Simplify 0 into 0 17.060 * [backup-simplify]: Simplify 0 into 0 17.060 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 17.060 * [backup-simplify]: Simplify 0 into 0 17.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.067 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.067 * [backup-simplify]: Simplify (- 0) into 0 17.068 * [backup-simplify]: Simplify (+ 0 0) into 0 17.069 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 17.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.070 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 17.072 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.073 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 17.073 * [taylor]: Taking taylor expansion of 0 in k 17.073 * [backup-simplify]: Simplify 0 into 0 17.073 * [backup-simplify]: Simplify 0 into 0 17.074 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) 2) into (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) 17.074 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) into (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) 17.074 * [approximate]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 17.074 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 17.074 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 17.074 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 17.074 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 17.074 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 17.075 * [taylor]: Taking taylor expansion of 0.25 in k 17.075 * [backup-simplify]: Simplify 0.25 into 0.25 17.075 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.075 * [taylor]: Taking taylor expansion of k in k 17.075 * [backup-simplify]: Simplify 0 into 0 17.075 * [backup-simplify]: Simplify 1 into 1 17.075 * [backup-simplify]: Simplify (/ 1 1) into 1 17.075 * [taylor]: Taking taylor expansion of 1.0 in k 17.075 * [backup-simplify]: Simplify 1.0 into 1.0 17.075 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 17.075 * [taylor]: Taking taylor expansion of (/ -1 n) in k 17.075 * [taylor]: Taking taylor expansion of -1 in k 17.075 * [backup-simplify]: Simplify -1 into -1 17.075 * [taylor]: Taking taylor expansion of n in k 17.075 * [backup-simplify]: Simplify n into n 17.075 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 17.076 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 17.076 * [backup-simplify]: Simplify (+ 1 0) into 1 17.076 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 17.076 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 17.077 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 17.077 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 17.077 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 17.077 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 17.077 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 17.077 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 17.077 * [taylor]: Taking taylor expansion of 0.25 in n 17.077 * [backup-simplify]: Simplify 0.25 into 0.25 17.077 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.077 * [taylor]: Taking taylor expansion of k in n 17.077 * [backup-simplify]: Simplify k into k 17.077 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.077 * [taylor]: Taking taylor expansion of 1.0 in n 17.077 * [backup-simplify]: Simplify 1.0 into 1.0 17.077 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 17.077 * [taylor]: Taking taylor expansion of (/ -1 n) in n 17.077 * [taylor]: Taking taylor expansion of -1 in n 17.077 * [backup-simplify]: Simplify -1 into -1 17.077 * [taylor]: Taking taylor expansion of n in n 17.077 * [backup-simplify]: Simplify 0 into 0 17.077 * [backup-simplify]: Simplify 1 into 1 17.078 * [backup-simplify]: Simplify (/ -1 1) into -1 17.078 * [backup-simplify]: Simplify (log -1) into (log -1) 17.078 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.078 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 17.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 17.080 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 17.080 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 17.080 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 17.080 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 17.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 17.080 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 17.081 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 17.081 * [taylor]: Taking taylor expansion of 0.25 in n 17.081 * [backup-simplify]: Simplify 0.25 into 0.25 17.081 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.081 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.081 * [taylor]: Taking taylor expansion of k in n 17.081 * [backup-simplify]: Simplify k into k 17.081 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.081 * [taylor]: Taking taylor expansion of 1.0 in n 17.081 * [backup-simplify]: Simplify 1.0 into 1.0 17.081 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 17.081 * [taylor]: Taking taylor expansion of (/ -1 n) in n 17.081 * [taylor]: Taking taylor expansion of -1 in n 17.081 * [backup-simplify]: Simplify -1 into -1 17.081 * [taylor]: Taking taylor expansion of n in n 17.081 * [backup-simplify]: Simplify 0 into 0 17.081 * [backup-simplify]: Simplify 1 into 1 17.082 * [backup-simplify]: Simplify (/ -1 1) into -1 17.083 * [backup-simplify]: Simplify (log -1) into (log -1) 17.083 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.083 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 17.084 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 17.084 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 17.085 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 17.086 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 17.086 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) in k 17.086 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 17.086 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 17.086 * [taylor]: Taking taylor expansion of 0.25 in k 17.086 * [backup-simplify]: Simplify 0.25 into 0.25 17.086 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 17.087 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 17.087 * [taylor]: Taking taylor expansion of (log -1) in k 17.087 * [taylor]: Taking taylor expansion of -1 in k 17.087 * [backup-simplify]: Simplify -1 into -1 17.087 * [backup-simplify]: Simplify (log -1) into (log -1) 17.087 * [taylor]: Taking taylor expansion of (log n) in k 17.087 * [taylor]: Taking taylor expansion of n in k 17.087 * [backup-simplify]: Simplify n into n 17.087 * [backup-simplify]: Simplify (log n) into (log n) 17.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.087 * [taylor]: Taking taylor expansion of k in k 17.087 * [backup-simplify]: Simplify 0 into 0 17.087 * [backup-simplify]: Simplify 1 into 1 17.088 * [backup-simplify]: Simplify (/ 1 1) into 1 17.088 * [taylor]: Taking taylor expansion of 1.0 in k 17.088 * [backup-simplify]: Simplify 1.0 into 1.0 17.088 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 17.088 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 17.089 * [backup-simplify]: Simplify (+ 1 0) into 1 17.089 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 17.090 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 17.090 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 17.092 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 17.092 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 17.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 17.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.095 * [backup-simplify]: Simplify (+ 0 0) into 0 17.097 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 17.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 17.098 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 17.099 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.101 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 17.101 * [taylor]: Taking taylor expansion of 0 in k 17.101 * [backup-simplify]: Simplify 0 into 0 17.101 * [backup-simplify]: Simplify 0 into 0 17.102 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 17.102 * [backup-simplify]: Simplify 0 into 0 17.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 17.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.106 * [backup-simplify]: Simplify (+ 0 0) into 0 17.107 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 17.108 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 17.109 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 17.111 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.112 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 17.112 * [taylor]: Taking taylor expansion of 0 in k 17.112 * [backup-simplify]: Simplify 0 into 0 17.113 * [backup-simplify]: Simplify 0 into 0 17.113 * [backup-simplify]: Simplify 0 into 0 17.114 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 17.114 * [backup-simplify]: Simplify 0 into 0 17.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.118 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 17.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.118 * [backup-simplify]: Simplify (+ 0 0) into 0 17.119 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 17.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 17.120 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 17.121 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.122 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0 17.122 * [taylor]: Taking taylor expansion of 0 in k 17.123 * [backup-simplify]: Simplify 0 into 0 17.123 * [backup-simplify]: Simplify 0 into 0 17.123 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) into (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 17.123 * * * [progress]: simplifying candidates 17.127 * [simplify]: Simplifying: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (log1p (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (+ (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2)) (* n n) (+ (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (+ (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (+ (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ k 2.0) 2)) (pow n (/ (/ k 2.0) 2))) (* (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* 1 1) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* 2 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) 1) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 17.133 * * [simplify]: Extracting # 0 : cost 0 17.133 * * [simplify]: Extracting # 1 : cost 0 17.133 * * [simplify]: Extracting # 2 : cost 0 17.134 * * [simplify]: Extracting # 3 : cost 0 17.134 * * [simplify]: Extracting # 4 : cost 0 17.135 * * [simplify]: Extracting # 5 : cost 0 17.135 * * [simplify]: Extracting # 6 : cost 0 17.136 * * [simplify]: Extracting # 7 : cost 0 17.136 * * [simplify]: Extracting # 8 : cost 0 17.137 * * [simplify]: Extracting # 9 : cost 0 17.137 * * [simplify]: Extracting # 10 : cost 0 17.138 * * [simplify]: iteration 0 : 308 enodes (cost 4202 ) 17.279 * * [simplify]: Extracting # 0 : cost 0 17.281 * * [simplify]: Extracting # 1 : cost 0 17.284 * * [simplify]: Extracting # 2 : cost 0 17.286 * * [simplify]: Extracting # 3 : cost 0 17.288 * * [simplify]: Extracting # 4 : cost 0 17.291 * * [simplify]: iteration 1 : 794 enodes (cost 3385 ) 17.826 * * [simplify]: Extracting # 0 : cost 0 17.829 * * [simplify]: Extracting # 1 : cost 0 17.832 * * [simplify]: Extracting # 2 : cost 0 17.836 * * [simplify]: Extracting # 3 : cost 0 17.839 * * [simplify]: Extracting # 4 : cost 0 17.845 * * [simplify]: iteration 2 : 2361 enodes (cost 3282 ) 18.845 * * [simplify]: Extracting # 0 : cost 0 18.856 * * [simplify]: Extracting # 1 : cost 0 18.868 * * [simplify]: Extracting # 2 : cost 0 18.891 * * [simplify]: Extracting # 3 : cost 0 18.904 * * [simplify]: Extracting # 4 : cost 0 18.917 * * [simplify]: Extracting # 5 : cost 0 18.931 * * [simplify]: iteration done: 5000 enodes (cost 3187 ) 18.934 * [simplify]: Simplified to: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (/ (- 1.0 k) 2.0) 2) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow n (sqrt (- 1.0 k))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (- 1.0 k)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) (* 4 2.0))) (pow n (/ (- 1.0 k) (* 4 2.0))) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (/ (- 1.0 k) 2.0) 2) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow n (sqrt (- 1.0 k))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (- 1.0 k)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) (* 4 2.0))) (pow n (/ (- 1.0 k) (* 4 2.0))) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (* n n) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (* 1 (/ 1.0 2.0))) (pow n (* 1 (/ k 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)) (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (- 1.0 k) 2.0)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (+ (pow PI 0.5) (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.5 (* k (log PI)))))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* (* 0.25 (- 1.0 k)) (+ 0 (log n)))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* (* 0.25 (- 1.0 k)) (+ 0 (log n)))) (* (pow (pow n 1.0) 0.5) (- (fma (* 0.125 (pow (log n) 2)) (pow k 2) 1) (* 0.5 (* k (log n))))) (pow (pow (/ 1 n) (* -0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (- 1.0 k))) (* 2 (+ 0 (log n)))) 18.938 * * * [progress]: adding candidates to table 20.587 * [progress]: [Phase 3 of 3] Extracting. 20.587 * * [regime]: Finding splitpoints for: (# # # # # # # #) 20.594 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 20.594 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 20.677 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 20.713 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 20.800 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 20.876 * * * [regime]: Found split indices: #