36.035 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: Extracting # 3 : cost 0 0.095 * * [simplify]: Extracting # 4 : cost 0 0.095 * * [simplify]: Extracting # 5 : cost 0 0.095 * * [simplify]: Extracting # 6 : cost 0 0.095 * * [simplify]: Extracting # 7 : cost 0 0.095 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: Extracting # 1 : cost 0 0.098 * * [simplify]: Extracting # 2 : cost 0 0.098 * * [simplify]: Extracting # 3 : cost 0 0.098 * * [simplify]: Extracting # 4 : cost 0 0.098 * * [simplify]: Extracting # 5 : cost 0 0.098 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: Extracting # 1 : cost 0 0.104 * * [simplify]: Extracting # 2 : cost 0 0.104 * * [simplify]: Extracting # 3 : cost 0 0.104 * * [simplify]: Extracting # 4 : cost 0 0.104 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: Extracting # 1 : cost 0 0.117 * * [simplify]: Extracting # 2 : cost 0 0.117 * * [simplify]: Extracting # 3 : cost 0 0.117 * * [simplify]: Extracting # 4 : cost 0 0.117 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.145 * * [simplify]: Extracting # 0 : cost 0 0.146 * * [simplify]: Extracting # 1 : cost 0 0.146 * * [simplify]: Extracting # 2 : cost 0 0.146 * * [simplify]: Extracting # 3 : cost 0 0.147 * * [simplify]: Extracting # 4 : cost 0 0.147 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.300 * * [simplify]: Extracting # 0 : cost 0 0.301 * * [simplify]: Extracting # 1 : cost 0 0.302 * * [simplify]: Extracting # 2 : cost 0 0.303 * * [simplify]: Extracting # 3 : cost 0 0.303 * * [simplify]: Extracting # 4 : cost 0 0.304 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 1.291 * * [simplify]: Extracting # 0 : cost 0 1.295 * * [simplify]: Extracting # 1 : cost 0 1.297 * * [simplify]: Extracting # 2 : cost 0 1.300 * * [simplify]: Extracting # 3 : cost 0 1.302 * * [simplify]: Extracting # 4 : cost 0 1.308 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 2.419 * * [simplify]: Extracting # 0 : cost 0 2.424 * * [simplify]: Extracting # 1 : cost 0 2.429 * * [simplify]: Extracting # 2 : cost 0 2.434 * * [simplify]: Extracting # 3 : cost 0 2.439 * * [simplify]: Extracting # 4 : cost 0 2.443 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 2.443 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.444 * * [progress]: iteration 1 / 4 2.444 * * * [progress]: picking best candidate 2.446 * * * * [pick]: Picked # 2.446 * * * [progress]: localizing error 2.463 * * * [progress]: generating rewritten candidates 2.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.484 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.501 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.507 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.553 * * * [progress]: generating series expansions 2.553 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.554 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.554 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.554 * [taylor]: Taking taylor expansion of 0.5 in k 2.554 * [backup-simplify]: Simplify 0.5 into 0.5 2.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.554 * [taylor]: Taking taylor expansion of 1.0 in k 2.554 * [backup-simplify]: Simplify 1.0 into 1.0 2.554 * [taylor]: Taking taylor expansion of k in k 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.554 * [taylor]: Taking taylor expansion of 2.0 in k 2.554 * [backup-simplify]: Simplify 2.0 into 2.0 2.554 * [taylor]: Taking taylor expansion of (* n PI) in k 2.554 * [taylor]: Taking taylor expansion of n in k 2.554 * [backup-simplify]: Simplify n into n 2.554 * [taylor]: Taking taylor expansion of PI in k 2.554 * [backup-simplify]: Simplify PI into PI 2.554 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.554 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.554 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.555 * [backup-simplify]: Simplify (- 0) into 0 2.555 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.555 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.555 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.556 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.556 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.556 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.556 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.556 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.556 * [taylor]: Taking taylor expansion of 0.5 in n 2.556 * [backup-simplify]: Simplify 0.5 into 0.5 2.556 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.556 * [taylor]: Taking taylor expansion of 1.0 in n 2.556 * [backup-simplify]: Simplify 1.0 into 1.0 2.556 * [taylor]: Taking taylor expansion of k in n 2.556 * [backup-simplify]: Simplify k into k 2.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.556 * [taylor]: Taking taylor expansion of 2.0 in n 2.556 * [backup-simplify]: Simplify 2.0 into 2.0 2.556 * [taylor]: Taking taylor expansion of (* n PI) in n 2.556 * [taylor]: Taking taylor expansion of n in n 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of PI in n 2.556 * [backup-simplify]: Simplify PI into PI 2.556 * [backup-simplify]: Simplify (* 0 PI) into 0 2.556 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.557 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.558 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.559 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.559 * [backup-simplify]: Simplify (- k) into (- k) 2.559 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.559 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.560 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.560 * [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)))) 2.561 * [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))))) 2.561 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.561 * [taylor]: Taking taylor expansion of 0.5 in n 2.561 * [backup-simplify]: Simplify 0.5 into 0.5 2.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.561 * [taylor]: Taking taylor expansion of 1.0 in n 2.561 * [backup-simplify]: Simplify 1.0 into 1.0 2.561 * [taylor]: Taking taylor expansion of k in n 2.561 * [backup-simplify]: Simplify k into k 2.561 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.561 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.561 * [taylor]: Taking taylor expansion of 2.0 in n 2.561 * [backup-simplify]: Simplify 2.0 into 2.0 2.561 * [taylor]: Taking taylor expansion of (* n PI) in n 2.561 * [taylor]: Taking taylor expansion of n in n 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.562 * [taylor]: Taking taylor expansion of PI in n 2.562 * [backup-simplify]: Simplify PI into PI 2.562 * [backup-simplify]: Simplify (* 0 PI) into 0 2.562 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.563 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.564 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.564 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.564 * [backup-simplify]: Simplify (- k) into (- k) 2.564 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.565 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.566 * [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)))) 2.567 * [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))))) 2.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.567 * [taylor]: Taking taylor expansion of 0.5 in k 2.567 * [backup-simplify]: Simplify 0.5 into 0.5 2.567 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.567 * [taylor]: Taking taylor expansion of 1.0 in k 2.567 * [backup-simplify]: Simplify 1.0 into 1.0 2.567 * [taylor]: Taking taylor expansion of k in k 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.567 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.567 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.567 * [taylor]: Taking taylor expansion of 2.0 in k 2.567 * [backup-simplify]: Simplify 2.0 into 2.0 2.567 * [taylor]: Taking taylor expansion of PI in k 2.567 * [backup-simplify]: Simplify PI into PI 2.567 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.568 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.568 * [taylor]: Taking taylor expansion of (log n) in k 2.568 * [taylor]: Taking taylor expansion of n in k 2.568 * [backup-simplify]: Simplify n into n 2.568 * [backup-simplify]: Simplify (log n) into (log n) 2.568 * [backup-simplify]: Simplify (- 0) into 0 2.569 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.569 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.570 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.570 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.571 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.572 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.573 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.574 * [backup-simplify]: Simplify (- 0) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.576 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.577 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.578 * [taylor]: Taking taylor expansion of 0 in k 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.580 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (- 1) into -1 2.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.581 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.582 * [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)))) 2.584 * [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)))))) 2.586 * [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)))))) 2.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.589 * [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 2.589 * [backup-simplify]: Simplify (- 0) into 0 2.589 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.595 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.597 * [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 2.597 * [taylor]: Taking taylor expansion of 0 in k 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.599 * [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 2.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (- 0) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.603 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.604 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.606 * [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)))))) 2.609 * [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)))))) 2.615 * [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)))))) 2.616 * [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)))) 2.616 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.616 * [taylor]: Taking taylor expansion of 0.5 in k 2.616 * [backup-simplify]: Simplify 0.5 into 0.5 2.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.616 * [taylor]: Taking taylor expansion of 1.0 in k 2.616 * [backup-simplify]: Simplify 1.0 into 1.0 2.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.616 * [taylor]: Taking taylor expansion of k in k 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 1 into 1 2.616 * [backup-simplify]: Simplify (/ 1 1) into 1 2.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.616 * [taylor]: Taking taylor expansion of 2.0 in k 2.616 * [backup-simplify]: Simplify 2.0 into 2.0 2.616 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.616 * [taylor]: Taking taylor expansion of PI in k 2.616 * [backup-simplify]: Simplify PI into PI 2.616 * [taylor]: Taking taylor expansion of n in k 2.616 * [backup-simplify]: Simplify n into n 2.616 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.616 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.617 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.617 * [backup-simplify]: Simplify (- 1) into -1 2.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.617 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.617 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.618 * [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))))) 2.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.618 * [taylor]: Taking taylor expansion of 0.5 in n 2.618 * [backup-simplify]: Simplify 0.5 into 0.5 2.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.618 * [taylor]: Taking taylor expansion of 1.0 in n 2.618 * [backup-simplify]: Simplify 1.0 into 1.0 2.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.618 * [taylor]: Taking taylor expansion of k in n 2.618 * [backup-simplify]: Simplify k into k 2.618 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.618 * [taylor]: Taking taylor expansion of 2.0 in n 2.618 * [backup-simplify]: Simplify 2.0 into 2.0 2.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.618 * [taylor]: Taking taylor expansion of PI in n 2.618 * [backup-simplify]: Simplify PI into PI 2.618 * [taylor]: Taking taylor expansion of n in n 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ PI 1) into PI 2.619 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.619 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.619 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.619 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.619 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.621 * [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)))) 2.622 * [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))))) 2.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.622 * [taylor]: Taking taylor expansion of 0.5 in n 2.622 * [backup-simplify]: Simplify 0.5 into 0.5 2.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.622 * [taylor]: Taking taylor expansion of 1.0 in n 2.622 * [backup-simplify]: Simplify 1.0 into 1.0 2.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.622 * [taylor]: Taking taylor expansion of k in n 2.622 * [backup-simplify]: Simplify k into k 2.622 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.622 * [taylor]: Taking taylor expansion of 2.0 in n 2.622 * [backup-simplify]: Simplify 2.0 into 2.0 2.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.622 * [taylor]: Taking taylor expansion of PI in n 2.622 * [backup-simplify]: Simplify PI into PI 2.622 * [taylor]: Taking taylor expansion of n in n 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (/ PI 1) into PI 2.623 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.623 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.624 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.624 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.624 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.625 * [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)))) 2.626 * [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))))) 2.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.626 * [taylor]: Taking taylor expansion of 0.5 in k 2.626 * [backup-simplify]: Simplify 0.5 into 0.5 2.626 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.626 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.626 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.626 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.626 * [taylor]: Taking taylor expansion of 2.0 in k 2.626 * [backup-simplify]: Simplify 2.0 into 2.0 2.626 * [taylor]: Taking taylor expansion of PI in k 2.626 * [backup-simplify]: Simplify PI into PI 2.626 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.627 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.627 * [taylor]: Taking taylor expansion of (log n) in k 2.627 * [taylor]: Taking taylor expansion of n in k 2.627 * [backup-simplify]: Simplify n into n 2.627 * [backup-simplify]: Simplify (log n) into (log n) 2.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.627 * [taylor]: Taking taylor expansion of 1.0 in k 2.627 * [backup-simplify]: Simplify 1.0 into 1.0 2.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.627 * [taylor]: Taking taylor expansion of k in k 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (/ 1 1) into 1 2.628 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.628 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.628 * [backup-simplify]: Simplify (- 1) into -1 2.629 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.629 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.630 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.631 * [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))))) 2.631 * [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))))) 2.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.634 * [backup-simplify]: Simplify (- 0) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.636 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.637 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.637 * [taylor]: Taking taylor expansion of 0 in k 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.640 * [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 2.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.640 * [backup-simplify]: Simplify (- 0) into 0 2.641 * [backup-simplify]: Simplify (+ 0 0) into 0 2.641 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.642 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.643 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.644 * [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 2.644 * [taylor]: Taking taylor expansion of 0 in k 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.646 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.649 * [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 2.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.649 * [backup-simplify]: Simplify (- 0) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.653 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.655 * [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 2.655 * [taylor]: Taking taylor expansion of 0 in k 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [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)))) 2.656 * [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))) 2.656 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.656 * [taylor]: Taking taylor expansion of 0.5 in k 2.656 * [backup-simplify]: Simplify 0.5 into 0.5 2.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.656 * [taylor]: Taking taylor expansion of k in k 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (/ 1 1) into 1 2.656 * [taylor]: Taking taylor expansion of 1.0 in k 2.656 * [backup-simplify]: Simplify 1.0 into 1.0 2.656 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.656 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.656 * [taylor]: Taking taylor expansion of -2.0 in k 2.656 * [backup-simplify]: Simplify -2.0 into -2.0 2.656 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.656 * [taylor]: Taking taylor expansion of PI in k 2.656 * [backup-simplify]: Simplify PI into PI 2.657 * [taylor]: Taking taylor expansion of n in k 2.657 * [backup-simplify]: Simplify n into n 2.657 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.657 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.657 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.657 * [backup-simplify]: Simplify (+ 1 0) into 1 2.657 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.657 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.657 * [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)))))) 2.657 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.658 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.658 * [taylor]: Taking taylor expansion of 0.5 in n 2.658 * [backup-simplify]: Simplify 0.5 into 0.5 2.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.658 * [taylor]: Taking taylor expansion of k in n 2.658 * [backup-simplify]: Simplify k into k 2.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.658 * [taylor]: Taking taylor expansion of 1.0 in n 2.658 * [backup-simplify]: Simplify 1.0 into 1.0 2.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.658 * [taylor]: Taking taylor expansion of -2.0 in n 2.658 * [backup-simplify]: Simplify -2.0 into -2.0 2.658 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.658 * [taylor]: Taking taylor expansion of PI in n 2.658 * [backup-simplify]: Simplify PI into PI 2.658 * [taylor]: Taking taylor expansion of n in n 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (/ PI 1) into PI 2.658 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.659 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.659 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.659 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.661 * [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)))) 2.661 * [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))))) 2.661 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.661 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.661 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.662 * [taylor]: Taking taylor expansion of 0.5 in n 2.662 * [backup-simplify]: Simplify 0.5 into 0.5 2.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.662 * [taylor]: Taking taylor expansion of k in n 2.662 * [backup-simplify]: Simplify k into k 2.662 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.662 * [taylor]: Taking taylor expansion of 1.0 in n 2.662 * [backup-simplify]: Simplify 1.0 into 1.0 2.662 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.662 * [taylor]: Taking taylor expansion of -2.0 in n 2.662 * [backup-simplify]: Simplify -2.0 into -2.0 2.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.662 * [taylor]: Taking taylor expansion of PI in n 2.662 * [backup-simplify]: Simplify PI into PI 2.662 * [taylor]: Taking taylor expansion of n in n 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (/ PI 1) into PI 2.662 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.663 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.663 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.663 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.665 * [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)))) 2.665 * [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))))) 2.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.666 * [taylor]: Taking taylor expansion of 0.5 in k 2.666 * [backup-simplify]: Simplify 0.5 into 0.5 2.666 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.666 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.666 * [taylor]: Taking taylor expansion of k in k 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (/ 1 1) into 1 2.666 * [taylor]: Taking taylor expansion of 1.0 in k 2.666 * [backup-simplify]: Simplify 1.0 into 1.0 2.666 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.666 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.666 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.666 * [taylor]: Taking taylor expansion of -2.0 in k 2.666 * [backup-simplify]: Simplify -2.0 into -2.0 2.666 * [taylor]: Taking taylor expansion of PI in k 2.666 * [backup-simplify]: Simplify PI into PI 2.666 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.667 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.667 * [taylor]: Taking taylor expansion of (log n) in k 2.667 * [taylor]: Taking taylor expansion of n in k 2.667 * [backup-simplify]: Simplify n into n 2.667 * [backup-simplify]: Simplify (log n) into (log n) 2.667 * [backup-simplify]: Simplify (+ 1 0) into 1 2.667 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.668 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.669 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.669 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.670 * [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))))) 2.671 * [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))))) 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.673 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.675 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.676 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.676 * [taylor]: Taking taylor expansion of 0 in k 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.679 * [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 2.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.680 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.682 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.683 * [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 2.683 * [taylor]: Taking taylor expansion of 0 in k 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.691 * [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 2.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.695 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.696 * [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 2.696 * [taylor]: Taking taylor expansion of 0 in k 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [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)))))) 2.697 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.698 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.698 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.698 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.698 * [taylor]: Taking taylor expansion of 2.0 in n 2.698 * [backup-simplify]: Simplify 2.0 into 2.0 2.698 * [taylor]: Taking taylor expansion of (* n PI) in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [taylor]: Taking taylor expansion of PI in n 2.698 * [backup-simplify]: Simplify PI into PI 2.698 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.698 * [taylor]: Taking taylor expansion of 2.0 in n 2.698 * [backup-simplify]: Simplify 2.0 into 2.0 2.698 * [taylor]: Taking taylor expansion of (* n PI) in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [taylor]: Taking taylor expansion of PI in n 2.698 * [backup-simplify]: Simplify PI into PI 2.698 * [backup-simplify]: Simplify (* 0 PI) into 0 2.698 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.700 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.700 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.702 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.710 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.710 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.710 * [taylor]: Taking taylor expansion of 2.0 in n 2.710 * [backup-simplify]: Simplify 2.0 into 2.0 2.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.710 * [taylor]: Taking taylor expansion of PI in n 2.710 * [backup-simplify]: Simplify PI into PI 2.711 * [taylor]: Taking taylor expansion of n in n 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ PI 1) into PI 2.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.711 * [taylor]: Taking taylor expansion of 2.0 in n 2.711 * [backup-simplify]: Simplify 2.0 into 2.0 2.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.711 * [taylor]: Taking taylor expansion of PI in n 2.711 * [backup-simplify]: Simplify PI into PI 2.711 * [taylor]: Taking taylor expansion of n in n 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ PI 1) into PI 2.712 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.712 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [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 2.719 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.720 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.720 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.720 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.720 * [taylor]: Taking taylor expansion of -2.0 in n 2.720 * [backup-simplify]: Simplify -2.0 into -2.0 2.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.720 * [taylor]: Taking taylor expansion of PI in n 2.720 * [backup-simplify]: Simplify PI into PI 2.720 * [taylor]: Taking taylor expansion of n in n 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify (/ PI 1) into PI 2.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.721 * [taylor]: Taking taylor expansion of -2.0 in n 2.721 * [backup-simplify]: Simplify -2.0 into -2.0 2.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.721 * [taylor]: Taking taylor expansion of PI in n 2.721 * [backup-simplify]: Simplify PI into PI 2.721 * [taylor]: Taking taylor expansion of n in n 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify (/ PI 1) into PI 2.721 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.722 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.728 * [backup-simplify]: Simplify 0 into 0 2.729 * [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 2.729 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.730 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.730 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.730 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.730 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.730 * [taylor]: Taking taylor expansion of 1.0 in k 2.730 * [backup-simplify]: Simplify 1.0 into 1.0 2.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.730 * [taylor]: Taking taylor expansion of k in k 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [backup-simplify]: Simplify (sqrt 0) into 0 2.732 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.732 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.732 * [taylor]: Taking taylor expansion of 1.0 in k 2.732 * [backup-simplify]: Simplify 1.0 into 1.0 2.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.732 * [taylor]: Taking taylor expansion of k in k 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [backup-simplify]: Simplify (sqrt 0) into 0 2.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.733 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.734 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.738 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.738 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.742 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.742 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.743 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.743 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.743 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.743 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.743 * [taylor]: Taking taylor expansion of 1.0 in k 2.743 * [backup-simplify]: Simplify 1.0 into 1.0 2.743 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.743 * [taylor]: Taking taylor expansion of k in k 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (sqrt 0) into 0 2.744 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.744 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.744 * [taylor]: Taking taylor expansion of 1.0 in k 2.744 * [backup-simplify]: Simplify 1.0 into 1.0 2.744 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.744 * [taylor]: Taking taylor expansion of k in k 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (sqrt 0) into 0 2.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.745 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.746 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.748 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.749 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.749 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.753 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.753 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.754 * [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)))))))) 2.754 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.754 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.754 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.754 * [taylor]: Taking taylor expansion of 1.0 in k 2.754 * [backup-simplify]: Simplify 1.0 into 1.0 2.754 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.754 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.754 * [taylor]: Taking taylor expansion of -1 in k 2.754 * [backup-simplify]: Simplify -1 into -1 2.754 * [taylor]: Taking taylor expansion of k in k 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ -1 1) into -1 2.755 * [backup-simplify]: Simplify (sqrt 0) into 0 2.755 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.756 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.756 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.756 * [taylor]: Taking taylor expansion of 1.0 in k 2.756 * [backup-simplify]: Simplify 1.0 into 1.0 2.756 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.756 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.756 * [taylor]: Taking taylor expansion of -1 in k 2.756 * [backup-simplify]: Simplify -1 into -1 2.756 * [taylor]: Taking taylor expansion of k in k 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (/ -1 1) into -1 2.756 * [backup-simplify]: Simplify (sqrt 0) into 0 2.757 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.757 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.761 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.761 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.766 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.766 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.767 * [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))))) 2.767 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.768 * [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))))) 2.768 * [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 2.768 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.768 * [taylor]: Taking taylor expansion of 1.0 in n 2.768 * [backup-simplify]: Simplify 1.0 into 1.0 2.768 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.768 * [taylor]: Taking taylor expansion of k in n 2.768 * [backup-simplify]: Simplify k into k 2.768 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.768 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.768 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.768 * [taylor]: Taking taylor expansion of 0.5 in n 2.768 * [backup-simplify]: Simplify 0.5 into 0.5 2.768 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.768 * [taylor]: Taking taylor expansion of 1.0 in n 2.768 * [backup-simplify]: Simplify 1.0 into 1.0 2.768 * [taylor]: Taking taylor expansion of k in n 2.768 * [backup-simplify]: Simplify k into k 2.768 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.768 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.768 * [taylor]: Taking taylor expansion of 2.0 in n 2.768 * [backup-simplify]: Simplify 2.0 into 2.0 2.768 * [taylor]: Taking taylor expansion of (* n PI) in n 2.768 * [taylor]: Taking taylor expansion of n in n 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [taylor]: Taking taylor expansion of PI in n 2.768 * [backup-simplify]: Simplify PI into PI 2.769 * [backup-simplify]: Simplify (* 0 PI) into 0 2.769 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.770 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.771 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.771 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.771 * [backup-simplify]: Simplify (- k) into (- k) 2.771 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.771 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.773 * [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)))) 2.774 * [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))))) 2.774 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.774 * [taylor]: Taking taylor expansion of 1.0 in k 2.774 * [backup-simplify]: Simplify 1.0 into 1.0 2.774 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.774 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.774 * [taylor]: Taking taylor expansion of k in k 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (/ 1 1) into 1 2.774 * [backup-simplify]: Simplify (sqrt 0) into 0 2.775 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.775 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.775 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.775 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.775 * [taylor]: Taking taylor expansion of 0.5 in k 2.775 * [backup-simplify]: Simplify 0.5 into 0.5 2.775 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.775 * [taylor]: Taking taylor expansion of 1.0 in k 2.775 * [backup-simplify]: Simplify 1.0 into 1.0 2.775 * [taylor]: Taking taylor expansion of k in k 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.775 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.775 * [taylor]: Taking taylor expansion of 2.0 in k 2.775 * [backup-simplify]: Simplify 2.0 into 2.0 2.775 * [taylor]: Taking taylor expansion of (* n PI) in k 2.775 * [taylor]: Taking taylor expansion of n in k 2.775 * [backup-simplify]: Simplify n into n 2.775 * [taylor]: Taking taylor expansion of PI in k 2.776 * [backup-simplify]: Simplify PI into PI 2.776 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.776 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.776 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.776 * [backup-simplify]: Simplify (- 0) into 0 2.776 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.776 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.776 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.777 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.777 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.777 * [taylor]: Taking taylor expansion of 1.0 in k 2.777 * [backup-simplify]: Simplify 1.0 into 1.0 2.777 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.777 * [taylor]: Taking taylor expansion of k in k 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (/ 1 1) into 1 2.777 * [backup-simplify]: Simplify (sqrt 0) into 0 2.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.783 * [taylor]: Taking taylor expansion of 0.5 in k 2.783 * [backup-simplify]: Simplify 0.5 into 0.5 2.783 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.783 * [taylor]: Taking taylor expansion of 1.0 in k 2.783 * [backup-simplify]: Simplify 1.0 into 1.0 2.783 * [taylor]: Taking taylor expansion of k in k 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.783 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.783 * [taylor]: Taking taylor expansion of 2.0 in k 2.783 * [backup-simplify]: Simplify 2.0 into 2.0 2.783 * [taylor]: Taking taylor expansion of (* n PI) in k 2.783 * [taylor]: Taking taylor expansion of n in k 2.783 * [backup-simplify]: Simplify n into n 2.783 * [taylor]: Taking taylor expansion of PI in k 2.783 * [backup-simplify]: Simplify PI into PI 2.783 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.784 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.784 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.784 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.784 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.785 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.785 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.785 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.785 * [taylor]: Taking taylor expansion of 0 in n 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.786 * [backup-simplify]: Simplify (- 1) into -1 2.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.788 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.788 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.788 * [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))) 2.789 * [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))) 2.790 * [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))) 2.790 * [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 2.791 * [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 2.791 * [taylor]: Taking taylor expansion of +nan.0 in n 2.791 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.791 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.791 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.791 * [taylor]: Taking taylor expansion of 0.5 in n 2.791 * [backup-simplify]: Simplify 0.5 into 0.5 2.791 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.791 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.791 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.791 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.791 * [taylor]: Taking taylor expansion of 1.0 in n 2.791 * [backup-simplify]: Simplify 1.0 into 1.0 2.791 * [taylor]: Taking taylor expansion of (log PI) in n 2.791 * [taylor]: Taking taylor expansion of PI in n 2.791 * [backup-simplify]: Simplify PI into PI 2.791 * [backup-simplify]: Simplify (log PI) into (log PI) 2.792 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.793 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.793 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.793 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.793 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.793 * [taylor]: Taking taylor expansion of 1.0 in n 2.793 * [backup-simplify]: Simplify 1.0 into 1.0 2.793 * [taylor]: Taking taylor expansion of (log n) in n 2.793 * [taylor]: Taking taylor expansion of n in n 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (log 1) into 0 2.793 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.793 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.793 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.793 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.793 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.793 * [taylor]: Taking taylor expansion of 1.0 in n 2.793 * [backup-simplify]: Simplify 1.0 into 1.0 2.793 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.793 * [taylor]: Taking taylor expansion of 2.0 in n 2.793 * [backup-simplify]: Simplify 2.0 into 2.0 2.794 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.794 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.795 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.796 * [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) 2.796 * [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) 2.797 * [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)) 2.798 * [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))) 2.799 * [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) 2.800 * [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)) 2.801 * [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))) 2.801 * [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))) 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.802 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.803 * [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 2.804 * [backup-simplify]: Simplify (- 0) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.805 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.806 * [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))) 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.810 * [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)))))))) 2.813 * [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)))))))) 2.813 * [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 2.813 * [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 2.813 * [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 2.813 * [taylor]: Taking taylor expansion of +nan.0 in n 2.813 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.813 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.813 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.813 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.813 * [taylor]: Taking taylor expansion of 0.5 in n 2.813 * [backup-simplify]: Simplify 0.5 into 0.5 2.813 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.813 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.813 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.813 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.813 * [taylor]: Taking taylor expansion of 1.0 in n 2.813 * [backup-simplify]: Simplify 1.0 into 1.0 2.813 * [taylor]: Taking taylor expansion of (log PI) in n 2.813 * [taylor]: Taking taylor expansion of PI in n 2.813 * [backup-simplify]: Simplify PI into PI 2.813 * [backup-simplify]: Simplify (log PI) into (log PI) 2.814 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.815 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.815 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.815 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.815 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.815 * [taylor]: Taking taylor expansion of 1.0 in n 2.815 * [backup-simplify]: Simplify 1.0 into 1.0 2.815 * [taylor]: Taking taylor expansion of (log n) in n 2.815 * [taylor]: Taking taylor expansion of n in n 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (log 1) into 0 2.816 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.816 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.816 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.816 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.816 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.816 * [taylor]: Taking taylor expansion of 1.0 in n 2.816 * [backup-simplify]: Simplify 1.0 into 1.0 2.816 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.816 * [taylor]: Taking taylor expansion of 2.0 in n 2.816 * [backup-simplify]: Simplify 2.0 into 2.0 2.816 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.817 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.817 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.818 * [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) 2.818 * [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) 2.819 * [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)) 2.820 * [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))) 2.821 * [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) 2.821 * [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 2.821 * [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 2.821 * [taylor]: Taking taylor expansion of +nan.0 in n 2.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.821 * [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 2.821 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.821 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.821 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.821 * [taylor]: Taking taylor expansion of 0.5 in n 2.821 * [backup-simplify]: Simplify 0.5 into 0.5 2.821 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.821 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.821 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.821 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.821 * [taylor]: Taking taylor expansion of 1.0 in n 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.821 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.821 * [taylor]: Taking taylor expansion of 2.0 in n 2.821 * [backup-simplify]: Simplify 2.0 into 2.0 2.821 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.822 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.823 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.823 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.823 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.823 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.823 * [taylor]: Taking taylor expansion of 1.0 in n 2.823 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [taylor]: Taking taylor expansion of (log PI) in n 2.823 * [taylor]: Taking taylor expansion of PI in n 2.823 * [backup-simplify]: Simplify PI into PI 2.823 * [backup-simplify]: Simplify (log PI) into (log PI) 2.824 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.825 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.825 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.825 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.825 * [taylor]: Taking taylor expansion of 1.0 in n 2.825 * [backup-simplify]: Simplify 1.0 into 1.0 2.825 * [taylor]: Taking taylor expansion of (log n) in n 2.825 * [taylor]: Taking taylor expansion of n in n 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (log 1) into 0 2.826 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.826 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.826 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.826 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.827 * [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) 2.828 * [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)) 2.829 * [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))) 2.829 * [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) 2.829 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.829 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.829 * [taylor]: Taking taylor expansion of 2.0 in n 2.830 * [backup-simplify]: Simplify 2.0 into 2.0 2.830 * [taylor]: Taking taylor expansion of (* n PI) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [taylor]: Taking taylor expansion of PI in n 2.830 * [backup-simplify]: Simplify PI into PI 2.830 * [backup-simplify]: Simplify (* 0 PI) into 0 2.830 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.831 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.832 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.833 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.834 * [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)) 2.834 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.836 * [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)) 2.837 * [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))) 2.839 * [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)))))) 2.843 * [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)))))))) 2.846 * [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)))))))) 2.850 * [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)))))))) 2.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.852 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.853 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.853 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.854 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.856 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.859 * [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 2.860 * [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 2.861 * [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 2.862 * [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 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.864 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.865 * [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 2.866 * [backup-simplify]: Simplify (- 0) into 0 2.866 * [backup-simplify]: Simplify (+ 0 0) into 0 2.866 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.868 * [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))) 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.874 * [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)))))))) 2.886 * [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)))))))) 2.886 * [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 2.886 * [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 2.886 * [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 2.886 * [taylor]: Taking taylor expansion of +nan.0 in n 2.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.886 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.886 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.886 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.886 * [taylor]: Taking taylor expansion of 0.5 in n 2.886 * [backup-simplify]: Simplify 0.5 into 0.5 2.886 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.886 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.886 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.886 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.886 * [taylor]: Taking taylor expansion of 1.0 in n 2.886 * [backup-simplify]: Simplify 1.0 into 1.0 2.886 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.886 * [taylor]: Taking taylor expansion of 2.0 in n 2.886 * [backup-simplify]: Simplify 2.0 into 2.0 2.886 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.887 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.888 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.888 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.888 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.888 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.888 * [taylor]: Taking taylor expansion of 1.0 in n 2.888 * [backup-simplify]: Simplify 1.0 into 1.0 2.888 * [taylor]: Taking taylor expansion of (log n) in n 2.888 * [taylor]: Taking taylor expansion of n in n 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (log 1) into 0 2.889 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.889 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.889 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.889 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.889 * [taylor]: Taking taylor expansion of 1.0 in n 2.889 * [backup-simplify]: Simplify 1.0 into 1.0 2.889 * [taylor]: Taking taylor expansion of (log PI) in n 2.889 * [taylor]: Taking taylor expansion of PI in n 2.889 * [backup-simplify]: Simplify PI into PI 2.889 * [backup-simplify]: Simplify (log PI) into (log PI) 2.890 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.891 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.891 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.892 * [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) 2.893 * [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)) 2.893 * [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))) 2.894 * [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) 2.894 * [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 2.894 * [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 2.894 * [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 2.894 * [taylor]: Taking taylor expansion of +nan.0 in n 2.894 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.894 * [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 2.894 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.894 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.894 * [taylor]: Taking taylor expansion of 0.5 in n 2.895 * [backup-simplify]: Simplify 0.5 into 0.5 2.895 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.895 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.895 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.895 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.895 * [taylor]: Taking taylor expansion of 1.0 in n 2.895 * [backup-simplify]: Simplify 1.0 into 1.0 2.895 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.895 * [taylor]: Taking taylor expansion of 2.0 in n 2.895 * [backup-simplify]: Simplify 2.0 into 2.0 2.895 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.895 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.896 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.896 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.896 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.896 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.896 * [taylor]: Taking taylor expansion of 1.0 in n 2.896 * [backup-simplify]: Simplify 1.0 into 1.0 2.896 * [taylor]: Taking taylor expansion of (log PI) in n 2.896 * [taylor]: Taking taylor expansion of PI in n 2.896 * [backup-simplify]: Simplify PI into PI 2.897 * [backup-simplify]: Simplify (log PI) into (log PI) 2.897 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.898 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.898 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.898 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.898 * [taylor]: Taking taylor expansion of 1.0 in n 2.898 * [backup-simplify]: Simplify 1.0 into 1.0 2.898 * [taylor]: Taking taylor expansion of (log n) in n 2.898 * [taylor]: Taking taylor expansion of n in n 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (log 1) into 0 2.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.899 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.899 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.899 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.900 * [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) 2.901 * [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)) 2.902 * [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))) 2.903 * [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) 2.903 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.903 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.903 * [taylor]: Taking taylor expansion of 2.0 in n 2.903 * [backup-simplify]: Simplify 2.0 into 2.0 2.903 * [taylor]: Taking taylor expansion of (* n PI) in n 2.903 * [taylor]: Taking taylor expansion of n in n 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of PI in n 2.903 * [backup-simplify]: Simplify PI into PI 2.903 * [backup-simplify]: Simplify (* 0 PI) into 0 2.903 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.905 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.906 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.906 * [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 2.906 * [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 2.906 * [taylor]: Taking taylor expansion of +nan.0 in n 2.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.906 * [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 2.906 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.906 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.906 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.906 * [taylor]: Taking taylor expansion of 0.5 in n 2.906 * [backup-simplify]: Simplify 0.5 into 0.5 2.906 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.906 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.906 * [taylor]: Taking taylor expansion of 1.0 in n 2.906 * [backup-simplify]: Simplify 1.0 into 1.0 2.906 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.906 * [taylor]: Taking taylor expansion of 2.0 in n 2.906 * [backup-simplify]: Simplify 2.0 into 2.0 2.906 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.907 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.908 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.908 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.908 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.908 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.908 * [taylor]: Taking taylor expansion of 1.0 in n 2.908 * [backup-simplify]: Simplify 1.0 into 1.0 2.908 * [taylor]: Taking taylor expansion of (log PI) in n 2.908 * [taylor]: Taking taylor expansion of PI in n 2.908 * [backup-simplify]: Simplify PI into PI 2.908 * [backup-simplify]: Simplify (log PI) into (log PI) 2.909 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.910 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.910 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.910 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.910 * [taylor]: Taking taylor expansion of 1.0 in n 2.910 * [backup-simplify]: Simplify 1.0 into 1.0 2.910 * [taylor]: Taking taylor expansion of (log n) in n 2.910 * [taylor]: Taking taylor expansion of n in n 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (log 1) into 0 2.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.910 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.910 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.911 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.911 * [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) 2.912 * [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)) 2.913 * [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))) 2.914 * [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) 2.914 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.914 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.914 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.914 * [taylor]: Taking taylor expansion of 2.0 in n 2.914 * [backup-simplify]: Simplify 2.0 into 2.0 2.914 * [taylor]: Taking taylor expansion of (* n PI) in n 2.914 * [taylor]: Taking taylor expansion of n in n 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of PI in n 2.914 * [backup-simplify]: Simplify PI into PI 2.914 * [backup-simplify]: Simplify (* 0 PI) into 0 2.915 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.916 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.917 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.919 * [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)) 2.920 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.921 * [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)) 2.923 * [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))) 2.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.925 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.926 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.928 * [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)) 2.930 * [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))) 2.931 * [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)))))))) 2.938 * [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)))))))))))) 2.946 * [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)))))))))))) 2.955 * [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)))))))))))))) 2.964 * [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)))))))))))))) 2.978 * [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)))))))))))))) 2.993 * [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)))))))))))))))))))))) 2.994 * [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)))))) 2.994 * [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 2.994 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.994 * [taylor]: Taking taylor expansion of 1.0 in n 2.994 * [backup-simplify]: Simplify 1.0 into 1.0 2.994 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.994 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.994 * [taylor]: Taking taylor expansion of k in n 2.994 * [backup-simplify]: Simplify k into k 2.994 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.994 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.994 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.994 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.994 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.994 * [taylor]: Taking taylor expansion of 0.5 in n 2.994 * [backup-simplify]: Simplify 0.5 into 0.5 2.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.994 * [taylor]: Taking taylor expansion of 1.0 in n 2.994 * [backup-simplify]: Simplify 1.0 into 1.0 2.994 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.994 * [taylor]: Taking taylor expansion of k in n 2.994 * [backup-simplify]: Simplify k into k 2.994 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.994 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.994 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.994 * [taylor]: Taking taylor expansion of 2.0 in n 2.994 * [backup-simplify]: Simplify 2.0 into 2.0 2.994 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.994 * [taylor]: Taking taylor expansion of PI in n 2.994 * [backup-simplify]: Simplify PI into PI 2.994 * [taylor]: Taking taylor expansion of n in n 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (/ PI 1) into PI 2.995 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.995 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.996 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.996 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.996 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.997 * [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)))) 2.998 * [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))))) 2.998 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.998 * [taylor]: Taking taylor expansion of 1.0 in k 2.998 * [backup-simplify]: Simplify 1.0 into 1.0 2.998 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.998 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.998 * [taylor]: Taking taylor expansion of k in k 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (sqrt 0) into 0 2.999 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.999 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.999 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.999 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.999 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.999 * [taylor]: Taking taylor expansion of 0.5 in k 3.000 * [backup-simplify]: Simplify 0.5 into 0.5 3.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.000 * [taylor]: Taking taylor expansion of 1.0 in k 3.000 * [backup-simplify]: Simplify 1.0 into 1.0 3.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.000 * [taylor]: Taking taylor expansion of k in k 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.000 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.000 * [taylor]: Taking taylor expansion of 2.0 in k 3.000 * [backup-simplify]: Simplify 2.0 into 2.0 3.000 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.000 * [taylor]: Taking taylor expansion of PI in k 3.000 * [backup-simplify]: Simplify PI into PI 3.000 * [taylor]: Taking taylor expansion of n in k 3.000 * [backup-simplify]: Simplify n into n 3.000 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.000 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.000 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.000 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.001 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.001 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.001 * [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))))) 3.001 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.001 * [taylor]: Taking taylor expansion of 1.0 in k 3.001 * [backup-simplify]: Simplify 1.0 into 1.0 3.001 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.001 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.001 * [taylor]: Taking taylor expansion of k in k 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (sqrt 0) into 0 3.002 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.002 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.002 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.002 * [taylor]: Taking taylor expansion of 0.5 in k 3.002 * [backup-simplify]: Simplify 0.5 into 0.5 3.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.002 * [taylor]: Taking taylor expansion of 1.0 in k 3.002 * [backup-simplify]: Simplify 1.0 into 1.0 3.002 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.002 * [taylor]: Taking taylor expansion of k in k 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.003 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.003 * [taylor]: Taking taylor expansion of 2.0 in k 3.003 * [backup-simplify]: Simplify 2.0 into 2.0 3.003 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.003 * [taylor]: Taking taylor expansion of PI in k 3.003 * [backup-simplify]: Simplify PI into PI 3.003 * [taylor]: Taking taylor expansion of n in k 3.003 * [backup-simplify]: Simplify n into n 3.003 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.003 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.003 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.003 * [backup-simplify]: Simplify (- 1) into -1 3.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.004 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.004 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.004 * [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))))) 3.004 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 3.004 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.004 * [taylor]: Taking taylor expansion of 0 in n 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 0 into 0 3.005 * [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))))))) 3.005 * [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))))))) 3.005 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.005 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.005 * [taylor]: Taking taylor expansion of +nan.0 in n 3.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.005 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.005 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.005 * [taylor]: Taking taylor expansion of 0.5 in n 3.005 * [backup-simplify]: Simplify 0.5 into 0.5 3.005 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.005 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.005 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.005 * [taylor]: Taking taylor expansion of 2.0 in n 3.005 * [backup-simplify]: Simplify 2.0 into 2.0 3.005 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.005 * [taylor]: Taking taylor expansion of PI in n 3.005 * [backup-simplify]: Simplify PI into PI 3.005 * [taylor]: Taking taylor expansion of n in n 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (/ PI 1) into PI 3.006 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.007 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.007 * [taylor]: Taking taylor expansion of 1.0 in n 3.007 * [backup-simplify]: Simplify 1.0 into 1.0 3.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.007 * [taylor]: Taking taylor expansion of k in n 3.007 * [backup-simplify]: Simplify k into k 3.007 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.008 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.008 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.008 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.009 * [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)))) 3.010 * [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))))) 3.011 * [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)))))) 3.011 * [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))))))) 3.012 * [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))))))) 3.012 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.015 * [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))))))) 3.015 * [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))))))) 3.015 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.015 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.015 * [taylor]: Taking taylor expansion of +nan.0 in n 3.015 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.015 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.015 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.015 * [taylor]: Taking taylor expansion of 0.5 in n 3.015 * [backup-simplify]: Simplify 0.5 into 0.5 3.015 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.015 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.015 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.015 * [taylor]: Taking taylor expansion of 2.0 in n 3.015 * [backup-simplify]: Simplify 2.0 into 2.0 3.015 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.015 * [taylor]: Taking taylor expansion of PI in n 3.015 * [backup-simplify]: Simplify PI into PI 3.015 * [taylor]: Taking taylor expansion of n in n 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (/ PI 1) into PI 3.016 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.017 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.017 * [taylor]: Taking taylor expansion of 1.0 in n 3.017 * [backup-simplify]: Simplify 1.0 into 1.0 3.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.017 * [taylor]: Taking taylor expansion of k in n 3.017 * [backup-simplify]: Simplify k into k 3.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.018 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.018 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.018 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.019 * [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)))) 3.020 * [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))))) 3.021 * [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)))))) 3.021 * [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))))))) 3.022 * [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))))))) 3.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.023 * [backup-simplify]: Simplify (- 0) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.026 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 3.028 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 3.029 * [backup-simplify]: Simplify (- 0) into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.032 * [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))))))) 3.033 * [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))))))) 3.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.033 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.033 * [taylor]: Taking taylor expansion of +nan.0 in n 3.033 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.033 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.033 * [taylor]: Taking taylor expansion of 0.5 in n 3.033 * [backup-simplify]: Simplify 0.5 into 0.5 3.033 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.033 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.033 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.033 * [taylor]: Taking taylor expansion of 2.0 in n 3.033 * [backup-simplify]: Simplify 2.0 into 2.0 3.033 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.033 * [taylor]: Taking taylor expansion of PI in n 3.033 * [backup-simplify]: Simplify PI into PI 3.033 * [taylor]: Taking taylor expansion of n in n 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ PI 1) into PI 3.034 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.035 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.035 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.035 * [taylor]: Taking taylor expansion of 1.0 in n 3.035 * [backup-simplify]: Simplify 1.0 into 1.0 3.035 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.035 * [taylor]: Taking taylor expansion of k in n 3.035 * [backup-simplify]: Simplify k into k 3.035 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.036 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.036 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.037 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.037 * [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)))) 3.038 * [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))))) 3.039 * [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)))))) 3.039 * [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))))))) 3.040 * [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))))))) 3.043 * [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)))))))) 3.043 * [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)))) 3.043 * [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 3.044 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.044 * [taylor]: Taking taylor expansion of 1.0 in n 3.044 * [backup-simplify]: Simplify 1.0 into 1.0 3.044 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.044 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.044 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.044 * [taylor]: Taking taylor expansion of 0.5 in n 3.044 * [backup-simplify]: Simplify 0.5 into 0.5 3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.044 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.044 * [taylor]: Taking taylor expansion of k in n 3.044 * [backup-simplify]: Simplify k into k 3.044 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.044 * [taylor]: Taking taylor expansion of 1.0 in n 3.044 * [backup-simplify]: Simplify 1.0 into 1.0 3.044 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.044 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.044 * [taylor]: Taking taylor expansion of -2.0 in n 3.044 * [backup-simplify]: Simplify -2.0 into -2.0 3.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.044 * [taylor]: Taking taylor expansion of PI in n 3.044 * [backup-simplify]: Simplify PI into PI 3.044 * [taylor]: Taking taylor expansion of n in n 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [backup-simplify]: Simplify (/ PI 1) into PI 3.045 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.045 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.045 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.045 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.047 * [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)))) 3.048 * [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))))) 3.048 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.048 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.048 * [taylor]: Taking taylor expansion of -1 in n 3.048 * [backup-simplify]: Simplify -1 into -1 3.048 * [taylor]: Taking taylor expansion of k in n 3.048 * [backup-simplify]: Simplify k into k 3.048 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 3.048 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 3.048 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 3.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 3.049 * [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))) 3.049 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.049 * [taylor]: Taking taylor expansion of 1.0 in k 3.049 * [backup-simplify]: Simplify 1.0 into 1.0 3.049 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.049 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.049 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.049 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.049 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.049 * [taylor]: Taking taylor expansion of 0.5 in k 3.049 * [backup-simplify]: Simplify 0.5 into 0.5 3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.049 * [taylor]: Taking taylor expansion of k in k 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [taylor]: Taking taylor expansion of 1.0 in k 3.049 * [backup-simplify]: Simplify 1.0 into 1.0 3.049 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.049 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.049 * [taylor]: Taking taylor expansion of -2.0 in k 3.050 * [backup-simplify]: Simplify -2.0 into -2.0 3.050 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.050 * [taylor]: Taking taylor expansion of PI in k 3.050 * [backup-simplify]: Simplify PI into PI 3.050 * [taylor]: Taking taylor expansion of n in k 3.050 * [backup-simplify]: Simplify n into n 3.050 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.050 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.050 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.050 * [backup-simplify]: Simplify (+ 1 0) into 1 3.050 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.050 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.050 * [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)))))) 3.050 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.050 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.050 * [taylor]: Taking taylor expansion of -1 in k 3.051 * [backup-simplify]: Simplify -1 into -1 3.051 * [taylor]: Taking taylor expansion of k in k 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (/ -1 1) into -1 3.051 * [backup-simplify]: Simplify (sqrt 0) into 0 3.052 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.052 * [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))))))) 3.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.052 * [taylor]: Taking taylor expansion of 1.0 in k 3.052 * [backup-simplify]: Simplify 1.0 into 1.0 3.052 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.052 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.052 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.052 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.052 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.052 * [taylor]: Taking taylor expansion of 0.5 in k 3.052 * [backup-simplify]: Simplify 0.5 into 0.5 3.052 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.052 * [taylor]: Taking taylor expansion of k in k 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (/ 1 1) into 1 3.053 * [taylor]: Taking taylor expansion of 1.0 in k 3.053 * [backup-simplify]: Simplify 1.0 into 1.0 3.053 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.053 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.053 * [taylor]: Taking taylor expansion of -2.0 in k 3.053 * [backup-simplify]: Simplify -2.0 into -2.0 3.053 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.053 * [taylor]: Taking taylor expansion of PI in k 3.053 * [backup-simplify]: Simplify PI into PI 3.053 * [taylor]: Taking taylor expansion of n in k 3.053 * [backup-simplify]: Simplify n into n 3.053 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.053 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.053 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.053 * [backup-simplify]: Simplify (+ 1 0) into 1 3.053 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.053 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.054 * [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)))))) 3.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.054 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.054 * [taylor]: Taking taylor expansion of -1 in k 3.054 * [backup-simplify]: Simplify -1 into -1 3.054 * [taylor]: Taking taylor expansion of k in k 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (/ -1 1) into -1 3.054 * [backup-simplify]: Simplify (sqrt 0) into 0 3.055 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.055 * [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))))))) 3.055 * [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))))))) 3.055 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.055 * [taylor]: Taking taylor expansion of +nan.0 in n 3.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.055 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.055 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.055 * [taylor]: Taking taylor expansion of 0.5 in n 3.055 * [backup-simplify]: Simplify 0.5 into 0.5 3.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.055 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.055 * [taylor]: Taking taylor expansion of k in n 3.055 * [backup-simplify]: Simplify k into k 3.056 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.056 * [taylor]: Taking taylor expansion of 1.0 in n 3.056 * [backup-simplify]: Simplify 1.0 into 1.0 3.056 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.056 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.056 * [taylor]: Taking taylor expansion of -2.0 in n 3.056 * [backup-simplify]: Simplify -2.0 into -2.0 3.056 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.056 * [taylor]: Taking taylor expansion of PI in n 3.056 * [backup-simplify]: Simplify PI into PI 3.056 * [taylor]: Taking taylor expansion of n in n 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (/ PI 1) into PI 3.056 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.057 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.057 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.058 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.059 * [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)))) 3.060 * [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))))) 3.061 * [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)))))) 3.061 * [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)))))) 3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.064 * [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)))))))) 3.064 * [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)))))))) 3.064 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.065 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.065 * [taylor]: Taking taylor expansion of +nan.0 in n 3.065 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.065 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.065 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.065 * [taylor]: Taking taylor expansion of 0.5 in n 3.065 * [backup-simplify]: Simplify 0.5 into 0.5 3.065 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.065 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.065 * [taylor]: Taking taylor expansion of k in n 3.065 * [backup-simplify]: Simplify k into k 3.065 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.065 * [taylor]: Taking taylor expansion of 1.0 in n 3.065 * [backup-simplify]: Simplify 1.0 into 1.0 3.065 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.065 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.065 * [taylor]: Taking taylor expansion of -2.0 in n 3.065 * [backup-simplify]: Simplify -2.0 into -2.0 3.065 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.065 * [taylor]: Taking taylor expansion of PI in n 3.065 * [backup-simplify]: Simplify PI into PI 3.065 * [taylor]: Taking taylor expansion of n in n 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (/ PI 1) into PI 3.065 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.066 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.066 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.068 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.068 * [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)))) 3.069 * [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))))) 3.070 * [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)))))) 3.075 * [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))))))) 3.076 * [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))))))) 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.080 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.081 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.082 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.087 * [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)))))))) 3.088 * [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)))))))) 3.088 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.088 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.088 * [taylor]: Taking taylor expansion of +nan.0 in n 3.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.088 * [taylor]: Taking taylor expansion of 0.5 in n 3.088 * [backup-simplify]: Simplify 0.5 into 0.5 3.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.088 * [taylor]: Taking taylor expansion of k in n 3.088 * [backup-simplify]: Simplify k into k 3.088 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.088 * [taylor]: Taking taylor expansion of 1.0 in n 3.088 * [backup-simplify]: Simplify 1.0 into 1.0 3.088 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.088 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.088 * [taylor]: Taking taylor expansion of -2.0 in n 3.088 * [backup-simplify]: Simplify -2.0 into -2.0 3.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.088 * [taylor]: Taking taylor expansion of PI in n 3.088 * [backup-simplify]: Simplify PI into PI 3.088 * [taylor]: Taking taylor expansion of n in n 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (/ PI 1) into PI 3.089 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.089 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.089 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.091 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.092 * [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)))) 3.092 * [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))))) 3.093 * [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)))))) 3.094 * [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))))))) 3.094 * [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))))))) 3.097 * [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)))))))))))) 3.097 * * * [progress]: simplifying candidates 3.100 * [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 (* (* 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) 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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 (/ 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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)))))))))))) 3.104 * * [simplify]: Extracting # 0 : cost 0 3.104 * * [simplify]: Extracting # 1 : cost 0 3.105 * * [simplify]: Extracting # 2 : cost 0 3.105 * * [simplify]: Extracting # 3 : cost 0 3.105 * * [simplify]: Extracting # 4 : cost 0 3.106 * * [simplify]: Extracting # 5 : cost 0 3.106 * * [simplify]: Extracting # 6 : cost 0 3.107 * * [simplify]: Extracting # 7 : cost 0 3.107 * * [simplify]: Extracting # 8 : cost 0 3.108 * * [simplify]: Extracting # 9 : cost 0 3.108 * * [simplify]: Extracting # 10 : cost 0 3.109 * * [simplify]: Extracting # 11 : cost 0 3.109 * * [simplify]: Extracting # 12 : cost 0 3.110 * * [simplify]: Extracting # 13 : cost 0 3.110 * * [simplify]: Extracting # 14 : cost 0 3.111 * * [simplify]: Extracting # 15 : cost 0 3.111 * * [simplify]: Extracting # 16 : cost 0 3.112 * * [simplify]: Extracting # 17 : cost 0 3.112 * * [simplify]: Extracting # 18 : cost 0 3.113 * * [simplify]: Extracting # 19 : cost 0 3.114 * * [simplify]: Extracting # 20 : cost 0 3.114 * * [simplify]: Extracting # 21 : cost 0 3.115 * * [simplify]: Extracting # 22 : cost 0 3.115 * * [simplify]: Extracting # 23 : cost 0 3.116 * * [simplify]: Extracting # 24 : cost 0 3.116 * * [simplify]: Extracting # 25 : cost 0 3.117 * * [simplify]: Extracting # 26 : cost 0 3.117 * * [simplify]: Extracting # 27 : cost 0 3.118 * * [simplify]: Extracting # 28 : cost 0 3.118 * * [simplify]: Extracting # 29 : cost 0 3.119 * * [simplify]: Extracting # 30 : cost 0 3.119 * * [simplify]: Extracting # 31 : cost 0 3.120 * * [simplify]: Extracting # 32 : cost 0 3.120 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 3.223 * * [simplify]: Extracting # 0 : cost 0 3.225 * * [simplify]: Extracting # 1 : cost 0 3.226 * * [simplify]: Extracting # 2 : cost 0 3.227 * * [simplify]: Extracting # 3 : cost 0 3.229 * * [simplify]: Extracting # 4 : cost 0 3.230 * * [simplify]: Extracting # 5 : cost 0 3.231 * * [simplify]: Extracting # 6 : cost 0 3.233 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 3.633 * * [simplify]: Extracting # 0 : cost 0 3.637 * * [simplify]: Extracting # 1 : cost 0 3.641 * * [simplify]: Extracting # 2 : cost 0 3.649 * * [simplify]: Extracting # 3 : cost 0 3.652 * * [simplify]: Extracting # 4 : cost 0 3.656 * * [simplify]: Extracting # 5 : cost 0 3.660 * * [simplify]: iteration 2 : 3137 enodes (cost 2550 ) 4.524 * * [simplify]: Extracting # 0 : cost 0 4.539 * * [simplify]: Extracting # 1 : cost 0 4.545 * * [simplify]: Extracting # 2 : cost 0 4.551 * * [simplify]: Extracting # 3 : cost 0 4.557 * * [simplify]: Extracting # 4 : cost 0 4.563 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 4.564 * [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 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)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (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))) (* (* PI n) 2.0) (* (* PI n) 2.0) (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 (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (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) (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 1.0 3) k) (/ (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (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 PI) n) 0.5) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (pow (* (* 2.0 PI) n) 0.5)))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (fma k (- +nan.0) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (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 (* (* (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) (fma (pow k 2) (* (* (log n) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (* (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 (fma (- (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) +nan.0 (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))))))))))))) (fma +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2))) (- (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))))) (fma +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))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 4.565 * * * [progress]: adding candidates to table 5.023 * * [progress]: iteration 2 / 4 5.023 * * * [progress]: picking best candidate 5.061 * * * * [pick]: Picked # 5.061 * * * [progress]: localizing error 5.077 * * * [progress]: generating rewritten candidates 5.077 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.123 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.142 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.180 * * * [progress]: generating series expansions 5.180 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.181 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 5.181 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.181 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.181 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.181 * [taylor]: Taking taylor expansion of 0.5 in k 5.181 * [backup-simplify]: Simplify 0.5 into 0.5 5.181 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.181 * [taylor]: Taking taylor expansion of 1.0 in k 5.181 * [backup-simplify]: Simplify 1.0 into 1.0 5.181 * [taylor]: Taking taylor expansion of k in k 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.181 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.181 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.181 * [taylor]: Taking taylor expansion of 2.0 in k 5.181 * [backup-simplify]: Simplify 2.0 into 2.0 5.181 * [taylor]: Taking taylor expansion of (* n PI) in k 5.181 * [taylor]: Taking taylor expansion of n in k 5.181 * [backup-simplify]: Simplify n into n 5.181 * [taylor]: Taking taylor expansion of PI in k 5.181 * [backup-simplify]: Simplify PI into PI 5.181 * [backup-simplify]: Simplify (* n PI) into (* n PI) 5.181 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 5.181 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 5.182 * [backup-simplify]: Simplify (- 0) into 0 5.182 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.182 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.182 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 5.182 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 5.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.183 * [taylor]: Taking taylor expansion of 0.5 in n 5.183 * [backup-simplify]: Simplify 0.5 into 0.5 5.183 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.183 * [taylor]: Taking taylor expansion of 1.0 in n 5.183 * [backup-simplify]: Simplify 1.0 into 1.0 5.183 * [taylor]: Taking taylor expansion of k in n 5.183 * [backup-simplify]: Simplify k into k 5.183 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.183 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.183 * [taylor]: Taking taylor expansion of 2.0 in n 5.183 * [backup-simplify]: Simplify 2.0 into 2.0 5.183 * [taylor]: Taking taylor expansion of (* n PI) in n 5.183 * [taylor]: Taking taylor expansion of n in n 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [taylor]: Taking taylor expansion of PI in n 5.183 * [backup-simplify]: Simplify PI into PI 5.183 * [backup-simplify]: Simplify (* 0 PI) into 0 5.183 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.184 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.185 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.186 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.186 * [backup-simplify]: Simplify (- k) into (- k) 5.186 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.186 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.194 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.194 * [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)))) 5.195 * [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))))) 5.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.195 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.195 * [taylor]: Taking taylor expansion of 0.5 in n 5.195 * [backup-simplify]: Simplify 0.5 into 0.5 5.195 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.195 * [taylor]: Taking taylor expansion of 1.0 in n 5.195 * [backup-simplify]: Simplify 1.0 into 1.0 5.195 * [taylor]: Taking taylor expansion of k in n 5.195 * [backup-simplify]: Simplify k into k 5.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.195 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.196 * [taylor]: Taking taylor expansion of 2.0 in n 5.196 * [backup-simplify]: Simplify 2.0 into 2.0 5.196 * [taylor]: Taking taylor expansion of (* n PI) in n 5.196 * [taylor]: Taking taylor expansion of n in n 5.196 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [taylor]: Taking taylor expansion of PI in n 5.196 * [backup-simplify]: Simplify PI into PI 5.196 * [backup-simplify]: Simplify (* 0 PI) into 0 5.196 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.198 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.199 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.199 * [backup-simplify]: Simplify (- k) into (- k) 5.199 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.199 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.201 * [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)))) 5.201 * [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))))) 5.201 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.201 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.201 * [taylor]: Taking taylor expansion of 0.5 in k 5.202 * [backup-simplify]: Simplify 0.5 into 0.5 5.202 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.202 * [taylor]: Taking taylor expansion of 1.0 in k 5.202 * [backup-simplify]: Simplify 1.0 into 1.0 5.202 * [taylor]: Taking taylor expansion of k in k 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.202 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.202 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.202 * [taylor]: Taking taylor expansion of 2.0 in k 5.202 * [backup-simplify]: Simplify 2.0 into 2.0 5.202 * [taylor]: Taking taylor expansion of PI in k 5.202 * [backup-simplify]: Simplify PI into PI 5.202 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.203 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.203 * [taylor]: Taking taylor expansion of (log n) in k 5.203 * [taylor]: Taking taylor expansion of n in k 5.203 * [backup-simplify]: Simplify n into n 5.203 * [backup-simplify]: Simplify (log n) into (log n) 5.203 * [backup-simplify]: Simplify (- 0) into 0 5.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.204 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 5.204 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 5.205 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 5.206 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 5.207 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 5.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 5.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.209 * [backup-simplify]: Simplify (- 0) into 0 5.209 * [backup-simplify]: Simplify (+ 0 0) into 0 5.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 5.210 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.211 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 5.212 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.212 * [taylor]: Taking taylor expansion of 0 in k 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.214 * [backup-simplify]: Simplify (+ 0 0) into 0 5.215 * [backup-simplify]: Simplify (- 1) into -1 5.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 5.217 * [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)))) 5.219 * [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)))))) 5.221 * [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)))))) 5.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.224 * [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 5.224 * [backup-simplify]: Simplify (- 0) into 0 5.224 * [backup-simplify]: Simplify (+ 0 0) into 0 5.225 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 5.226 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.227 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 5.228 * [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 5.228 * [taylor]: Taking taylor expansion of 0 in k 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.230 * [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 5.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.232 * [backup-simplify]: Simplify (+ 0 0) into 0 5.232 * [backup-simplify]: Simplify (- 0) into 0 5.232 * [backup-simplify]: Simplify (+ 0 0) into 0 5.233 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 5.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 5.237 * [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)))))) 5.240 * [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)))))) 5.246 * [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)))))) 5.246 * [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)))) 5.246 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.247 * [taylor]: Taking taylor expansion of 0.5 in k 5.247 * [backup-simplify]: Simplify 0.5 into 0.5 5.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.247 * [taylor]: Taking taylor expansion of 1.0 in k 5.247 * [backup-simplify]: Simplify 1.0 into 1.0 5.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.247 * [taylor]: Taking taylor expansion of k in k 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (/ 1 1) into 1 5.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.247 * [taylor]: Taking taylor expansion of 2.0 in k 5.247 * [backup-simplify]: Simplify 2.0 into 2.0 5.247 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.247 * [taylor]: Taking taylor expansion of PI in k 5.247 * [backup-simplify]: Simplify PI into PI 5.247 * [taylor]: Taking taylor expansion of n in k 5.247 * [backup-simplify]: Simplify n into n 5.247 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.247 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.247 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.248 * [backup-simplify]: Simplify (- 1) into -1 5.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.248 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.248 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.249 * [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))))) 5.249 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.249 * [taylor]: Taking taylor expansion of 0.5 in n 5.249 * [backup-simplify]: Simplify 0.5 into 0.5 5.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.249 * [taylor]: Taking taylor expansion of 1.0 in n 5.249 * [backup-simplify]: Simplify 1.0 into 1.0 5.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.249 * [taylor]: Taking taylor expansion of k in n 5.249 * [backup-simplify]: Simplify k into k 5.249 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.249 * [taylor]: Taking taylor expansion of 2.0 in n 5.249 * [backup-simplify]: Simplify 2.0 into 2.0 5.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.249 * [taylor]: Taking taylor expansion of PI in n 5.249 * [backup-simplify]: Simplify PI into PI 5.249 * [taylor]: Taking taylor expansion of n in n 5.249 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (/ PI 1) into PI 5.250 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.250 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.250 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.250 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.250 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.251 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.252 * [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)))) 5.253 * [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))))) 5.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.253 * [taylor]: Taking taylor expansion of 0.5 in n 5.253 * [backup-simplify]: Simplify 0.5 into 0.5 5.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.253 * [taylor]: Taking taylor expansion of 1.0 in n 5.253 * [backup-simplify]: Simplify 1.0 into 1.0 5.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.253 * [taylor]: Taking taylor expansion of k in n 5.253 * [backup-simplify]: Simplify k into k 5.253 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.253 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.253 * [taylor]: Taking taylor expansion of 2.0 in n 5.253 * [backup-simplify]: Simplify 2.0 into 2.0 5.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.253 * [taylor]: Taking taylor expansion of PI in n 5.253 * [backup-simplify]: Simplify PI into PI 5.253 * [taylor]: Taking taylor expansion of n in n 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [backup-simplify]: Simplify (/ PI 1) into PI 5.254 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.254 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.254 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.254 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.254 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.255 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.256 * [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)))) 5.257 * [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))))) 5.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.257 * [taylor]: Taking taylor expansion of 0.5 in k 5.257 * [backup-simplify]: Simplify 0.5 into 0.5 5.257 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.257 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.257 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.257 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.257 * [taylor]: Taking taylor expansion of 2.0 in k 5.257 * [backup-simplify]: Simplify 2.0 into 2.0 5.257 * [taylor]: Taking taylor expansion of PI in k 5.257 * [backup-simplify]: Simplify PI into PI 5.257 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.258 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.258 * [taylor]: Taking taylor expansion of (log n) in k 5.258 * [taylor]: Taking taylor expansion of n in k 5.258 * [backup-simplify]: Simplify n into n 5.258 * [backup-simplify]: Simplify (log n) into (log n) 5.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.258 * [taylor]: Taking taylor expansion of 1.0 in k 5.258 * [backup-simplify]: Simplify 1.0 into 1.0 5.258 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.258 * [taylor]: Taking taylor expansion of k in k 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (/ 1 1) into 1 5.258 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.259 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 5.259 * [backup-simplify]: Simplify (- 1) into -1 5.259 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.260 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 5.261 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 5.261 * [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))))) 5.262 * [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))))) 5.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.264 * [backup-simplify]: Simplify (- 0) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.266 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 5.268 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.268 * [taylor]: Taking taylor expansion of 0 in k 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.269 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.271 * [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 5.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.271 * [backup-simplify]: Simplify (- 0) into 0 5.271 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.273 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 5.275 * [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 5.275 * [taylor]: Taking taylor expansion of 0 in k 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.279 * [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 5.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.279 * [backup-simplify]: Simplify (- 0) into 0 5.280 * [backup-simplify]: Simplify (+ 0 0) into 0 5.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 5.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.282 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 5.289 * [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 5.289 * [taylor]: Taking taylor expansion of 0 in k 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 0 into 0 5.290 * [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)))) 5.291 * [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))) 5.291 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.291 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.291 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.291 * [taylor]: Taking taylor expansion of 0.5 in k 5.291 * [backup-simplify]: Simplify 0.5 into 0.5 5.291 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.291 * [taylor]: Taking taylor expansion of k in k 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (/ 1 1) into 1 5.291 * [taylor]: Taking taylor expansion of 1.0 in k 5.291 * [backup-simplify]: Simplify 1.0 into 1.0 5.291 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.291 * [taylor]: Taking taylor expansion of -2.0 in k 5.291 * [backup-simplify]: Simplify -2.0 into -2.0 5.291 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.291 * [taylor]: Taking taylor expansion of PI in k 5.291 * [backup-simplify]: Simplify PI into PI 5.291 * [taylor]: Taking taylor expansion of n in k 5.291 * [backup-simplify]: Simplify n into n 5.291 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.291 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.291 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.292 * [backup-simplify]: Simplify (+ 1 0) into 1 5.292 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.292 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.292 * [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)))))) 5.292 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.292 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.292 * [taylor]: Taking taylor expansion of 0.5 in n 5.292 * [backup-simplify]: Simplify 0.5 into 0.5 5.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.292 * [taylor]: Taking taylor expansion of k in n 5.292 * [backup-simplify]: Simplify k into k 5.292 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.292 * [taylor]: Taking taylor expansion of 1.0 in n 5.292 * [backup-simplify]: Simplify 1.0 into 1.0 5.292 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.292 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.292 * [taylor]: Taking taylor expansion of -2.0 in n 5.292 * [backup-simplify]: Simplify -2.0 into -2.0 5.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.292 * [taylor]: Taking taylor expansion of PI in n 5.292 * [backup-simplify]: Simplify PI into PI 5.292 * [taylor]: Taking taylor expansion of n in n 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (/ PI 1) into PI 5.293 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.294 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.294 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.294 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.295 * [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)))) 5.296 * [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))))) 5.296 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.296 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.296 * [taylor]: Taking taylor expansion of 0.5 in n 5.296 * [backup-simplify]: Simplify 0.5 into 0.5 5.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.296 * [taylor]: Taking taylor expansion of k in n 5.296 * [backup-simplify]: Simplify k into k 5.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.296 * [taylor]: Taking taylor expansion of 1.0 in n 5.296 * [backup-simplify]: Simplify 1.0 into 1.0 5.296 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.296 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.296 * [taylor]: Taking taylor expansion of -2.0 in n 5.296 * [backup-simplify]: Simplify -2.0 into -2.0 5.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.296 * [taylor]: Taking taylor expansion of PI in n 5.296 * [backup-simplify]: Simplify PI into PI 5.297 * [taylor]: Taking taylor expansion of n in n 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (/ PI 1) into PI 5.297 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.298 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.298 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.298 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.300 * [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)))) 5.300 * [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))))) 5.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.301 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.301 * [taylor]: Taking taylor expansion of 0.5 in k 5.301 * [backup-simplify]: Simplify 0.5 into 0.5 5.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.301 * [taylor]: Taking taylor expansion of k in k 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (/ 1 1) into 1 5.301 * [taylor]: Taking taylor expansion of 1.0 in k 5.301 * [backup-simplify]: Simplify 1.0 into 1.0 5.301 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.301 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.301 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.301 * [taylor]: Taking taylor expansion of -2.0 in k 5.301 * [backup-simplify]: Simplify -2.0 into -2.0 5.301 * [taylor]: Taking taylor expansion of PI in k 5.301 * [backup-simplify]: Simplify PI into PI 5.301 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.302 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.302 * [taylor]: Taking taylor expansion of (log n) in k 5.302 * [taylor]: Taking taylor expansion of n in k 5.302 * [backup-simplify]: Simplify n into n 5.302 * [backup-simplify]: Simplify (log n) into (log n) 5.302 * [backup-simplify]: Simplify (+ 1 0) into 1 5.302 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.303 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 5.304 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 5.304 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 5.305 * [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))))) 5.306 * [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))))) 5.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.307 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.308 * [backup-simplify]: Simplify (+ 0 0) into 0 5.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.310 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.311 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.311 * [taylor]: Taking taylor expansion of 0 in k 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.314 * [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 5.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.315 * [backup-simplify]: Simplify (+ 0 0) into 0 5.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.317 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 5.318 * [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 5.318 * [taylor]: Taking taylor expansion of 0 in k 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.323 * [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 5.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.323 * [backup-simplify]: Simplify (+ 0 0) into 0 5.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 5.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.326 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 5.327 * [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 5.327 * [taylor]: Taking taylor expansion of 0 in k 5.327 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify 0 into 0 5.328 * [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)))))) 5.328 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.328 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 5.328 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.328 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.328 * [taylor]: Taking taylor expansion of 1.0 in k 5.328 * [backup-simplify]: Simplify 1.0 into 1.0 5.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.328 * [taylor]: Taking taylor expansion of k in k 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.329 * [backup-simplify]: Simplify (/ 1 1) into 1 5.329 * [backup-simplify]: Simplify (sqrt 0) into 0 5.330 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.330 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.330 * [taylor]: Taking taylor expansion of 1.0 in k 5.330 * [backup-simplify]: Simplify 1.0 into 1.0 5.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.330 * [taylor]: Taking taylor expansion of k in k 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify (/ 1 1) into 1 5.330 * [backup-simplify]: Simplify (sqrt 0) into 0 5.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.331 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.331 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.332 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.335 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.336 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.336 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.340 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.340 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.341 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 5.341 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 5.341 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.341 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.341 * [taylor]: Taking taylor expansion of 1.0 in k 5.341 * [backup-simplify]: Simplify 1.0 into 1.0 5.341 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.341 * [taylor]: Taking taylor expansion of k in k 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (sqrt 0) into 0 5.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.342 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt 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) 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 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.343 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.344 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.346 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.347 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.347 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.351 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.353 * [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)))))))) 5.353 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 5.353 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.353 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.353 * [taylor]: Taking taylor expansion of 1.0 in k 5.353 * [backup-simplify]: Simplify 1.0 into 1.0 5.353 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.353 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.353 * [taylor]: Taking taylor expansion of -1 in k 5.353 * [backup-simplify]: Simplify -1 into -1 5.353 * [taylor]: Taking taylor expansion of k in k 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.353 * [backup-simplify]: Simplify (/ -1 1) into -1 5.354 * [backup-simplify]: Simplify (sqrt 0) into 0 5.355 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.355 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.355 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.355 * [taylor]: Taking taylor expansion of 1.0 in k 5.355 * [backup-simplify]: Simplify 1.0 into 1.0 5.355 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.355 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.355 * [taylor]: Taking taylor expansion of -1 in k 5.355 * [backup-simplify]: Simplify -1 into -1 5.355 * [taylor]: Taking taylor expansion of k in k 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify 1 into 1 5.355 * [backup-simplify]: Simplify (/ -1 1) into -1 5.356 * [backup-simplify]: Simplify (sqrt 0) into 0 5.356 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.357 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.359 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.360 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.360 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.366 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.366 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.367 * [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))))) 5.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.367 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 5.367 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.367 * [taylor]: Taking taylor expansion of 2.0 in n 5.367 * [backup-simplify]: Simplify 2.0 into 2.0 5.367 * [taylor]: Taking taylor expansion of (* n PI) in n 5.367 * [taylor]: Taking taylor expansion of n in n 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify 1 into 1 5.367 * [taylor]: Taking taylor expansion of PI in n 5.367 * [backup-simplify]: Simplify PI into PI 5.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.367 * [taylor]: Taking taylor expansion of 2.0 in n 5.367 * [backup-simplify]: Simplify 2.0 into 2.0 5.367 * [taylor]: Taking taylor expansion of (* n PI) in n 5.367 * [taylor]: Taking taylor expansion of n in n 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.368 * [taylor]: Taking taylor expansion of PI in n 5.368 * [backup-simplify]: Simplify PI into PI 5.368 * [backup-simplify]: Simplify (* 0 PI) into 0 5.368 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.368 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.370 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.370 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.371 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 5.371 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.374 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.374 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.376 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 5.376 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.378 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 5.385 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 5.385 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 5.386 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 5.386 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.386 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.386 * [taylor]: Taking taylor expansion of 2.0 in n 5.386 * [backup-simplify]: Simplify 2.0 into 2.0 5.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.386 * [taylor]: Taking taylor expansion of PI in n 5.386 * [backup-simplify]: Simplify PI into PI 5.386 * [taylor]: Taking taylor expansion of n in n 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ PI 1) into PI 5.386 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.386 * [taylor]: Taking taylor expansion of 2.0 in n 5.387 * [backup-simplify]: Simplify 2.0 into 2.0 5.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.387 * [taylor]: Taking taylor expansion of PI in n 5.387 * [backup-simplify]: Simplify PI into PI 5.387 * [taylor]: Taking taylor expansion of n in n 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (/ PI 1) into PI 5.387 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.388 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.389 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.391 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [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 5.395 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 5.396 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 5.396 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.396 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.396 * [taylor]: Taking taylor expansion of -2.0 in n 5.396 * [backup-simplify]: Simplify -2.0 into -2.0 5.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.396 * [taylor]: Taking taylor expansion of PI in n 5.396 * [backup-simplify]: Simplify PI into PI 5.396 * [taylor]: Taking taylor expansion of n in n 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (/ PI 1) into PI 5.396 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.396 * [taylor]: Taking taylor expansion of -2.0 in n 5.396 * [backup-simplify]: Simplify -2.0 into -2.0 5.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.396 * [taylor]: Taking taylor expansion of PI in n 5.397 * [backup-simplify]: Simplify PI into PI 5.397 * [taylor]: Taking taylor expansion of n in n 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (/ PI 1) into PI 5.397 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.397 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.399 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.400 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.401 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.401 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.403 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.404 * [backup-simplify]: Simplify 0 into 0 5.405 * [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 5.406 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 5.406 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.406 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 5.406 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.406 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.406 * [taylor]: Taking taylor expansion of 1.0 in k 5.406 * [backup-simplify]: Simplify 1.0 into 1.0 5.406 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.406 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.406 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.406 * [taylor]: Taking taylor expansion of 1/4 in k 5.406 * [backup-simplify]: Simplify 1/4 into 1/4 5.406 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.406 * [taylor]: Taking taylor expansion of k in k 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.407 * [backup-simplify]: Simplify (log 1) into 0 5.407 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.407 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 5.407 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 5.407 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.407 * [taylor]: Taking taylor expansion of 1.0 in k 5.407 * [backup-simplify]: Simplify 1.0 into 1.0 5.407 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.407 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.407 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.407 * [taylor]: Taking taylor expansion of 1/4 in k 5.407 * [backup-simplify]: Simplify 1/4 into 1/4 5.407 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.407 * [taylor]: Taking taylor expansion of k in k 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.408 * [backup-simplify]: Simplify (/ 1 1) into 1 5.408 * [backup-simplify]: Simplify (log 1) into 0 5.408 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.408 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 5.408 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 5.408 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.409 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.410 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.410 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 5.411 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 5.411 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.413 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.414 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 5.415 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.415 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.418 * [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 5.419 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 5.420 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.421 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.427 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.428 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 5.429 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.430 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.440 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 5.443 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.444 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.460 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 5.470 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.472 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.472 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 5.472 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.472 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.472 * [taylor]: Taking taylor expansion of 1.0 in k 5.472 * [backup-simplify]: Simplify 1.0 into 1.0 5.472 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.472 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.472 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.472 * [taylor]: Taking taylor expansion of 1/4 in k 5.472 * [backup-simplify]: Simplify 1/4 into 1/4 5.472 * [taylor]: Taking taylor expansion of (log k) in k 5.472 * [taylor]: Taking taylor expansion of k in k 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.473 * [backup-simplify]: Simplify (log 1) into 0 5.473 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.473 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 5.473 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 5.473 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.473 * [taylor]: Taking taylor expansion of 1.0 in k 5.473 * [backup-simplify]: Simplify 1.0 into 1.0 5.473 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.473 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.473 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.473 * [taylor]: Taking taylor expansion of 1/4 in k 5.473 * [backup-simplify]: Simplify 1/4 into 1/4 5.473 * [taylor]: Taking taylor expansion of (log k) in k 5.473 * [taylor]: Taking taylor expansion of k in k 5.473 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (log 1) into 0 5.474 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.474 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 5.474 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 5.474 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 5.474 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 5.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.475 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.475 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 5.476 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 5.476 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.478 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 5.479 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.480 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 5.480 * [backup-simplify]: Simplify 0 into 0 5.482 * [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 5.483 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 5.484 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.485 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.491 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.492 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 5.493 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.494 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.503 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 5.506 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.507 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.522 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.524 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 5.527 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.528 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.528 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 5.528 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 5.528 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.529 * [taylor]: Taking taylor expansion of 1.0 in k 5.529 * [backup-simplify]: Simplify 1.0 into 1.0 5.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.529 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.529 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.529 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.529 * [taylor]: Taking taylor expansion of -1 in k 5.529 * [backup-simplify]: Simplify -1 into -1 5.529 * [taylor]: Taking taylor expansion of k in k 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (/ -1 1) into -1 5.529 * [backup-simplify]: Simplify (sqrt 0) into 0 5.530 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.530 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.531 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.534 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.535 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.535 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.535 * [taylor]: Taking taylor expansion of 1.0 in k 5.535 * [backup-simplify]: Simplify 1.0 into 1.0 5.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.535 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.535 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.535 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.535 * [taylor]: Taking taylor expansion of -1 in k 5.535 * [backup-simplify]: Simplify -1 into -1 5.535 * [taylor]: Taking taylor expansion of k in k 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (/ -1 1) into -1 5.536 * [backup-simplify]: Simplify (sqrt 0) into 0 5.537 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.537 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.537 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.541 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.542 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.543 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.543 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.545 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.546 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.557 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.560 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.567 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 5.571 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 5.578 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 5.578 * * * [progress]: simplifying candidates 5.586 * [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 (* 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(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)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 5.599 * * [simplify]: Extracting # 0 : cost 0 5.601 * * [simplify]: Extracting # 1 : cost 0 5.601 * * [simplify]: Extracting # 2 : cost 0 5.603 * * [simplify]: Extracting # 3 : cost 0 5.604 * * [simplify]: Extracting # 4 : cost 0 5.605 * * [simplify]: Extracting # 5 : cost 0 5.606 * * [simplify]: Extracting # 6 : cost 0 5.607 * * [simplify]: Extracting # 7 : cost 0 5.608 * * [simplify]: Extracting # 8 : cost 0 5.609 * * [simplify]: Extracting # 9 : cost 0 5.610 * * [simplify]: Extracting # 10 : cost 0 5.611 * * [simplify]: Extracting # 11 : cost 0 5.612 * * [simplify]: Extracting # 12 : cost 0 5.619 * * [simplify]: Extracting # 13 : cost 0 5.620 * * [simplify]: Extracting # 14 : cost 0 5.621 * * [simplify]: iteration 0 : 566 enodes (cost 9021 ) 5.799 * * [simplify]: Extracting # 0 : cost 0 5.802 * * [simplify]: Extracting # 1 : cost 0 5.803 * * [simplify]: Extracting # 2 : cost 0 5.805 * * [simplify]: Extracting # 3 : cost 0 5.811 * * [simplify]: Extracting # 4 : cost 0 5.813 * * [simplify]: Extracting # 5 : cost 0 5.815 * * [simplify]: Extracting # 6 : cost 0 5.817 * * [simplify]: iteration 1 : 1341 enodes (cost 7684 ) 6.216 * * [simplify]: Extracting # 0 : cost 0 6.221 * * [simplify]: Extracting # 1 : cost 0 6.224 * * [simplify]: Extracting # 2 : cost 0 6.228 * * [simplify]: Extracting # 3 : cost 0 6.232 * * [simplify]: Extracting # 4 : cost 0 6.235 * * [simplify]: Extracting # 5 : cost 0 6.240 * * [simplify]: iteration 2 : 3110 enodes (cost 7109 ) 7.219 * * [simplify]: Extracting # 0 : cost 0 7.225 * * [simplify]: Extracting # 1 : cost 0 7.231 * * [simplify]: Extracting # 2 : cost 0 7.236 * * [simplify]: Extracting # 3 : cost 0 7.242 * * [simplify]: Extracting # 4 : cost 0 7.247 * * [simplify]: iteration done: 5000 enodes (cost 6936 ) 7.251 * [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 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 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) 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k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 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k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (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 (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (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 (log n) 2) (pow (* 2.0 (* n PI)) 0.5))) (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)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (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 k) +nan.0) (- (/ +nan.0 (pow k 2)))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (fma (sqrt +nan.0) 1.0 (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) 7.261 * * * [progress]: adding candidates to table 8.066 * * [progress]: iteration 3 / 4 8.067 * * * [progress]: picking best candidate 8.102 * * * * [pick]: Picked # 8.102 * * * [progress]: localizing error 8.118 * * * [progress]: generating rewritten candidates 8.118 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 8.139 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 8.156 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 8.162 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.175 * * * [progress]: generating series expansions 8.175 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 8.176 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 8.176 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.176 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.176 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.176 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.176 * [taylor]: Taking taylor expansion of 0.5 in k 8.176 * [backup-simplify]: Simplify 0.5 into 0.5 8.176 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.176 * [taylor]: Taking taylor expansion of 1.0 in k 8.176 * [backup-simplify]: Simplify 1.0 into 1.0 8.176 * [taylor]: Taking taylor expansion of k in k 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.176 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.176 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.176 * [taylor]: Taking taylor expansion of 2.0 in k 8.176 * [backup-simplify]: Simplify 2.0 into 2.0 8.176 * [taylor]: Taking taylor expansion of (* n PI) in k 8.176 * [taylor]: Taking taylor expansion of n in k 8.176 * [backup-simplify]: Simplify n into n 8.176 * [taylor]: Taking taylor expansion of PI in k 8.176 * [backup-simplify]: Simplify PI into PI 8.176 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.176 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.176 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.177 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.177 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.177 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.177 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.177 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.177 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.177 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.177 * [taylor]: Taking taylor expansion of 0.5 in n 8.177 * [backup-simplify]: Simplify 0.5 into 0.5 8.177 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.178 * [taylor]: Taking taylor expansion of 1.0 in n 8.178 * [backup-simplify]: Simplify 1.0 into 1.0 8.178 * [taylor]: Taking taylor expansion of k in n 8.178 * [backup-simplify]: Simplify k into k 8.178 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.178 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.178 * [taylor]: Taking taylor expansion of 2.0 in n 8.178 * [backup-simplify]: Simplify 2.0 into 2.0 8.178 * [taylor]: Taking taylor expansion of (* n PI) in n 8.178 * [taylor]: Taking taylor expansion of n in n 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [taylor]: Taking taylor expansion of PI in n 8.178 * [backup-simplify]: Simplify PI into PI 8.178 * [backup-simplify]: Simplify (* 0 PI) into 0 8.178 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.179 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.180 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.181 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.181 * [backup-simplify]: Simplify (- k) into (- k) 8.181 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.181 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.182 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.182 * [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)))) 8.183 * [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))))) 8.183 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.183 * [taylor]: Taking taylor expansion of 0.5 in n 8.184 * [backup-simplify]: Simplify 0.5 into 0.5 8.184 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.184 * [taylor]: Taking taylor expansion of 1.0 in n 8.184 * [backup-simplify]: Simplify 1.0 into 1.0 8.184 * [taylor]: Taking taylor expansion of k in n 8.184 * [backup-simplify]: Simplify k into k 8.184 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.184 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.184 * [taylor]: Taking taylor expansion of 2.0 in n 8.184 * [backup-simplify]: Simplify 2.0 into 2.0 8.184 * [taylor]: Taking taylor expansion of (* n PI) in n 8.184 * [taylor]: Taking taylor expansion of n in n 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [taylor]: Taking taylor expansion of PI in n 8.184 * [backup-simplify]: Simplify PI into PI 8.184 * [backup-simplify]: Simplify (* 0 PI) into 0 8.184 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.185 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.186 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.187 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.187 * [backup-simplify]: Simplify (- k) into (- k) 8.187 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.187 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.188 * [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)))) 8.189 * [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))))) 8.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.189 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.189 * [taylor]: Taking taylor expansion of 0.5 in k 8.189 * [backup-simplify]: Simplify 0.5 into 0.5 8.189 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.189 * [taylor]: Taking taylor expansion of 1.0 in k 8.189 * [backup-simplify]: Simplify 1.0 into 1.0 8.189 * [taylor]: Taking taylor expansion of k in k 8.189 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify 1 into 1 8.189 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.189 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.189 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.189 * [taylor]: Taking taylor expansion of 2.0 in k 8.189 * [backup-simplify]: Simplify 2.0 into 2.0 8.189 * [taylor]: Taking taylor expansion of PI in k 8.189 * [backup-simplify]: Simplify PI into PI 8.190 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.190 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.190 * [taylor]: Taking taylor expansion of (log n) in k 8.190 * [taylor]: Taking taylor expansion of n in k 8.190 * [backup-simplify]: Simplify n into n 8.190 * [backup-simplify]: Simplify (log n) into (log n) 8.191 * [backup-simplify]: Simplify (- 0) into 0 8.191 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.192 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.192 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.193 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 8.194 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.194 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.197 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (+ 0 0) into 0 8.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.198 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.199 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.200 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.200 * [taylor]: Taking taylor expansion of 0 in k 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.203 * [backup-simplify]: Simplify (+ 0 0) into 0 8.203 * [backup-simplify]: Simplify (- 1) into -1 8.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.205 * [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)))) 8.207 * [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)))))) 8.209 * [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)))))) 8.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.210 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.212 * [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 8.212 * [backup-simplify]: Simplify (- 0) into 0 8.213 * [backup-simplify]: Simplify (+ 0 0) into 0 8.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.215 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.216 * [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 8.216 * [taylor]: Taking taylor expansion of 0 in k 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.218 * [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 8.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.220 * [backup-simplify]: Simplify (- 0) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.221 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.223 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.225 * [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)))))) 8.229 * [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)))))) 8.235 * [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)))))) 8.235 * [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)))) 8.235 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.235 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.235 * [taylor]: Taking taylor expansion of 0.5 in k 8.235 * [backup-simplify]: Simplify 0.5 into 0.5 8.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.235 * [taylor]: Taking taylor expansion of 1.0 in k 8.235 * [backup-simplify]: Simplify 1.0 into 1.0 8.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.235 * [taylor]: Taking taylor expansion of k in k 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ 1 1) into 1 8.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.236 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.236 * [taylor]: Taking taylor expansion of 2.0 in k 8.236 * [backup-simplify]: Simplify 2.0 into 2.0 8.236 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.236 * [taylor]: Taking taylor expansion of PI in k 8.236 * [backup-simplify]: Simplify PI into PI 8.236 * [taylor]: Taking taylor expansion of n in k 8.236 * [backup-simplify]: Simplify n into n 8.236 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.236 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.236 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.236 * [backup-simplify]: Simplify (- 1) into -1 8.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.237 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.237 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 8.237 * [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))))) 8.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.237 * [taylor]: Taking taylor expansion of 0.5 in n 8.237 * [backup-simplify]: Simplify 0.5 into 0.5 8.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.237 * [taylor]: Taking taylor expansion of 1.0 in n 8.237 * [backup-simplify]: Simplify 1.0 into 1.0 8.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.237 * [taylor]: Taking taylor expansion of k in n 8.237 * [backup-simplify]: Simplify k into k 8.237 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.237 * [taylor]: Taking taylor expansion of 2.0 in n 8.237 * [backup-simplify]: Simplify 2.0 into 2.0 8.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.237 * [taylor]: Taking taylor expansion of PI in n 8.237 * [backup-simplify]: Simplify PI into PI 8.237 * [taylor]: Taking taylor expansion of n in n 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 1 into 1 8.238 * [backup-simplify]: Simplify (/ PI 1) into PI 8.238 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.238 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.239 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.239 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.239 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.240 * [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)))) 8.241 * [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))))) 8.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.241 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.241 * [taylor]: Taking taylor expansion of 0.5 in n 8.241 * [backup-simplify]: Simplify 0.5 into 0.5 8.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.241 * [taylor]: Taking taylor expansion of 1.0 in n 8.241 * [backup-simplify]: Simplify 1.0 into 1.0 8.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.241 * [taylor]: Taking taylor expansion of k in n 8.241 * [backup-simplify]: Simplify k into k 8.241 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.241 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.241 * [taylor]: Taking taylor expansion of 2.0 in n 8.241 * [backup-simplify]: Simplify 2.0 into 2.0 8.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.241 * [taylor]: Taking taylor expansion of PI in n 8.241 * [backup-simplify]: Simplify PI into PI 8.241 * [taylor]: Taking taylor expansion of n in n 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.242 * [backup-simplify]: Simplify (/ PI 1) into PI 8.242 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.243 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.243 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.243 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.243 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.244 * [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)))) 8.245 * [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))))) 8.245 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.245 * [taylor]: Taking taylor expansion of 0.5 in k 8.245 * [backup-simplify]: Simplify 0.5 into 0.5 8.245 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.245 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.245 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.245 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.245 * [taylor]: Taking taylor expansion of 2.0 in k 8.245 * [backup-simplify]: Simplify 2.0 into 2.0 8.245 * [taylor]: Taking taylor expansion of PI in k 8.245 * [backup-simplify]: Simplify PI into PI 8.246 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.246 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.246 * [taylor]: Taking taylor expansion of (log n) in k 8.246 * [taylor]: Taking taylor expansion of n in k 8.246 * [backup-simplify]: Simplify n into n 8.246 * [backup-simplify]: Simplify (log n) into (log n) 8.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.246 * [taylor]: Taking taylor expansion of 1.0 in k 8.246 * [backup-simplify]: Simplify 1.0 into 1.0 8.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.246 * [taylor]: Taking taylor expansion of k in k 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 1 into 1 8.247 * [backup-simplify]: Simplify (/ 1 1) into 1 8.247 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.247 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.248 * [backup-simplify]: Simplify (- 1) into -1 8.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.248 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.249 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 8.250 * [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))))) 8.251 * [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))))) 8.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.253 * [backup-simplify]: Simplify (- 0) into 0 8.253 * [backup-simplify]: Simplify (+ 0 0) into 0 8.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.259 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.260 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.260 * [taylor]: Taking taylor expansion of 0 in k 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.263 * [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 8.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.264 * [backup-simplify]: Simplify (- 0) into 0 8.264 * [backup-simplify]: Simplify (+ 0 0) into 0 8.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.265 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.266 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.268 * [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 8.268 * [taylor]: Taking taylor expansion of 0 in k 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.269 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.272 * [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 8.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.272 * [backup-simplify]: Simplify (- 0) into 0 8.273 * [backup-simplify]: Simplify (+ 0 0) into 0 8.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.274 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.275 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.277 * [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 8.277 * [taylor]: Taking taylor expansion of 0 in k 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.278 * [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)))) 8.278 * [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))) 8.278 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.278 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.278 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.278 * [taylor]: Taking taylor expansion of 0.5 in k 8.278 * [backup-simplify]: Simplify 0.5 into 0.5 8.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.279 * [taylor]: Taking taylor expansion of k in k 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 1 into 1 8.279 * [backup-simplify]: Simplify (/ 1 1) into 1 8.279 * [taylor]: Taking taylor expansion of 1.0 in k 8.279 * [backup-simplify]: Simplify 1.0 into 1.0 8.279 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.279 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.279 * [taylor]: Taking taylor expansion of -2.0 in k 8.279 * [backup-simplify]: Simplify -2.0 into -2.0 8.279 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.279 * [taylor]: Taking taylor expansion of PI in k 8.279 * [backup-simplify]: Simplify PI into PI 8.279 * [taylor]: Taking taylor expansion of n in k 8.279 * [backup-simplify]: Simplify n into n 8.279 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.279 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.279 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.279 * [backup-simplify]: Simplify (+ 1 0) into 1 8.280 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.280 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 8.280 * [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)))))) 8.280 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.280 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.280 * [taylor]: Taking taylor expansion of 0.5 in n 8.280 * [backup-simplify]: Simplify 0.5 into 0.5 8.280 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.280 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.280 * [taylor]: Taking taylor expansion of k in n 8.280 * [backup-simplify]: Simplify k into k 8.280 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.280 * [taylor]: Taking taylor expansion of 1.0 in n 8.280 * [backup-simplify]: Simplify 1.0 into 1.0 8.280 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.280 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.280 * [taylor]: Taking taylor expansion of -2.0 in n 8.280 * [backup-simplify]: Simplify -2.0 into -2.0 8.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.280 * [taylor]: Taking taylor expansion of PI in n 8.280 * [backup-simplify]: Simplify PI into PI 8.280 * [taylor]: Taking taylor expansion of n in n 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (/ PI 1) into PI 8.281 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.281 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.282 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.282 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.283 * [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)))) 8.284 * [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))))) 8.284 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.284 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.284 * [taylor]: Taking taylor expansion of 0.5 in n 8.284 * [backup-simplify]: Simplify 0.5 into 0.5 8.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.284 * [taylor]: Taking taylor expansion of k in n 8.284 * [backup-simplify]: Simplify k into k 8.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.284 * [taylor]: Taking taylor expansion of 1.0 in n 8.284 * [backup-simplify]: Simplify 1.0 into 1.0 8.284 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.284 * [taylor]: Taking taylor expansion of -2.0 in n 8.284 * [backup-simplify]: Simplify -2.0 into -2.0 8.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.284 * [taylor]: Taking taylor expansion of PI in n 8.284 * [backup-simplify]: Simplify PI into PI 8.284 * [taylor]: Taking taylor expansion of n in n 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify 1 into 1 8.285 * [backup-simplify]: Simplify (/ PI 1) into PI 8.285 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.285 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.286 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.286 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.287 * [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)))) 8.288 * [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))))) 8.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.288 * [taylor]: Taking taylor expansion of 0.5 in k 8.288 * [backup-simplify]: Simplify 0.5 into 0.5 8.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.288 * [taylor]: Taking taylor expansion of k in k 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [backup-simplify]: Simplify (/ 1 1) into 1 8.288 * [taylor]: Taking taylor expansion of 1.0 in k 8.288 * [backup-simplify]: Simplify 1.0 into 1.0 8.288 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.288 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.288 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.288 * [taylor]: Taking taylor expansion of -2.0 in k 8.288 * [backup-simplify]: Simplify -2.0 into -2.0 8.289 * [taylor]: Taking taylor expansion of PI in k 8.289 * [backup-simplify]: Simplify PI into PI 8.289 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.289 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.289 * [taylor]: Taking taylor expansion of (log n) in k 8.289 * [taylor]: Taking taylor expansion of n in k 8.289 * [backup-simplify]: Simplify n into n 8.290 * [backup-simplify]: Simplify (log n) into (log n) 8.290 * [backup-simplify]: Simplify (+ 1 0) into 1 8.290 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.290 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.291 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 8.292 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 8.293 * [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))))) 8.293 * [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))))) 8.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.296 * [backup-simplify]: Simplify (+ 0 0) into 0 8.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.298 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.299 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.299 * [taylor]: Taking taylor expansion of 0 in k 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.300 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.302 * [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 8.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.305 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.306 * [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 8.306 * [taylor]: Taking taylor expansion of 0 in k 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.308 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.311 * [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 8.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.311 * [backup-simplify]: Simplify (+ 0 0) into 0 8.312 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.314 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.316 * [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 8.316 * [taylor]: Taking taylor expansion of 0 in k 8.316 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify 0 into 0 8.317 * [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)))))) 8.317 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 8.317 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.317 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.317 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.317 * [taylor]: Taking taylor expansion of 2.0 in n 8.317 * [backup-simplify]: Simplify 2.0 into 2.0 8.317 * [taylor]: Taking taylor expansion of (* n PI) in n 8.317 * [taylor]: Taking taylor expansion of n in n 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.317 * [taylor]: Taking taylor expansion of PI in n 8.317 * [backup-simplify]: Simplify PI into PI 8.317 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.317 * [taylor]: Taking taylor expansion of 2.0 in n 8.317 * [backup-simplify]: Simplify 2.0 into 2.0 8.317 * [taylor]: Taking taylor expansion of (* n PI) in n 8.317 * [taylor]: Taking taylor expansion of n in n 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.317 * [taylor]: Taking taylor expansion of PI in n 8.317 * [backup-simplify]: Simplify PI into PI 8.318 * [backup-simplify]: Simplify (* 0 PI) into 0 8.318 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.318 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.320 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.320 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.321 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.321 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.324 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.326 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.326 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.328 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.328 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.330 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.330 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.330 * [taylor]: Taking taylor expansion of 2.0 in n 8.330 * [backup-simplify]: Simplify 2.0 into 2.0 8.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.330 * [taylor]: Taking taylor expansion of PI in n 8.331 * [backup-simplify]: Simplify PI into PI 8.331 * [taylor]: Taking taylor expansion of n in n 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.331 * [backup-simplify]: Simplify (/ PI 1) into PI 8.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.331 * [taylor]: Taking taylor expansion of 2.0 in n 8.331 * [backup-simplify]: Simplify 2.0 into 2.0 8.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.331 * [taylor]: Taking taylor expansion of PI in n 8.331 * [backup-simplify]: Simplify PI into PI 8.331 * [taylor]: Taking taylor expansion of n in n 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.331 * [backup-simplify]: Simplify (/ PI 1) into PI 8.332 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.332 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.339 * [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 8.340 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.340 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.340 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.340 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.340 * [taylor]: Taking taylor expansion of -2.0 in n 8.340 * [backup-simplify]: Simplify -2.0 into -2.0 8.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.340 * [taylor]: Taking taylor expansion of PI in n 8.340 * [backup-simplify]: Simplify PI into PI 8.340 * [taylor]: Taking taylor expansion of n in n 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ PI 1) into PI 8.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.341 * [taylor]: Taking taylor expansion of -2.0 in n 8.341 * [backup-simplify]: Simplify -2.0 into -2.0 8.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.341 * [taylor]: Taking taylor expansion of PI in n 8.341 * [backup-simplify]: Simplify PI into PI 8.341 * [taylor]: Taking taylor expansion of n in n 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ PI 1) into PI 8.342 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.342 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.343 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.344 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.344 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.351 * [backup-simplify]: Simplify 0 into 0 8.352 * [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 8.353 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 8.353 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.353 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.353 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.353 * [taylor]: Taking taylor expansion of 1.0 in k 8.353 * [backup-simplify]: Simplify 1.0 into 1.0 8.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.353 * [taylor]: Taking taylor expansion of k in k 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (/ 1 1) into 1 8.354 * [backup-simplify]: Simplify (sqrt 0) into 0 8.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.355 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.355 * [taylor]: Taking taylor expansion of 1.0 in k 8.355 * [backup-simplify]: Simplify 1.0 into 1.0 8.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.355 * [taylor]: Taking taylor expansion of k in k 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (/ 1 1) into 1 8.355 * [backup-simplify]: Simplify (sqrt 0) into 0 8.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.356 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.356 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.357 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.361 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.361 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.365 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.365 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.366 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.366 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.366 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.366 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.366 * [taylor]: Taking taylor expansion of 1.0 in k 8.366 * [backup-simplify]: Simplify 1.0 into 1.0 8.366 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.366 * [taylor]: Taking taylor expansion of k in k 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.366 * [backup-simplify]: Simplify (sqrt 0) into 0 8.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.367 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.367 * [taylor]: Taking taylor expansion of 1.0 in k 8.367 * [backup-simplify]: Simplify 1.0 into 1.0 8.367 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.367 * [taylor]: Taking taylor expansion of k in k 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (sqrt 0) into 0 8.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.368 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.370 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.372 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.373 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.376 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.377 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.378 * [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)))))))) 8.378 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.378 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.378 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.378 * [taylor]: Taking taylor expansion of 1.0 in k 8.378 * [backup-simplify]: Simplify 1.0 into 1.0 8.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.378 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.378 * [taylor]: Taking taylor expansion of -1 in k 8.378 * [backup-simplify]: Simplify -1 into -1 8.378 * [taylor]: Taking taylor expansion of k in k 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (/ -1 1) into -1 8.378 * [backup-simplify]: Simplify (sqrt 0) into 0 8.379 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.379 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.379 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.379 * [taylor]: Taking taylor expansion of 1.0 in k 8.379 * [backup-simplify]: Simplify 1.0 into 1.0 8.379 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.379 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.379 * [taylor]: Taking taylor expansion of -1 in k 8.379 * [backup-simplify]: Simplify -1 into -1 8.379 * [taylor]: Taking taylor expansion of k in k 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.380 * [backup-simplify]: Simplify (/ -1 1) into -1 8.380 * [backup-simplify]: Simplify (sqrt 0) into 0 8.381 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.381 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.385 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.390 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.390 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.391 * [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))))) 8.391 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.391 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.391 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.391 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.391 * [taylor]: Taking taylor expansion of 1.0 in k 8.391 * [backup-simplify]: Simplify 1.0 into 1.0 8.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.391 * [taylor]: Taking taylor expansion of k in k 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (/ 1 1) into 1 8.392 * [backup-simplify]: Simplify (sqrt 0) into 0 8.392 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.392 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.392 * [taylor]: Taking taylor expansion of 1.0 in k 8.392 * [backup-simplify]: Simplify 1.0 into 1.0 8.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.392 * [taylor]: Taking taylor expansion of k in k 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 1 into 1 8.393 * [backup-simplify]: Simplify (/ 1 1) into 1 8.393 * [backup-simplify]: Simplify (sqrt 0) into 0 8.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.394 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.395 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.397 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.398 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.398 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.402 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.402 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.403 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.403 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.404 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.404 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.404 * [taylor]: Taking taylor expansion of 1.0 in k 8.404 * [backup-simplify]: Simplify 1.0 into 1.0 8.404 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.404 * [taylor]: Taking taylor expansion of k in k 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.404 * [backup-simplify]: Simplify (sqrt 0) into 0 8.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.405 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.405 * [taylor]: Taking taylor expansion of 1.0 in k 8.405 * [backup-simplify]: Simplify 1.0 into 1.0 8.405 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.405 * [taylor]: Taking taylor expansion of k in k 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (sqrt 0) into 0 8.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.406 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.406 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.407 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.409 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.410 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.410 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.413 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.414 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.415 * [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)))))))) 8.415 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.415 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.415 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.415 * [taylor]: Taking taylor expansion of 1.0 in k 8.415 * [backup-simplify]: Simplify 1.0 into 1.0 8.415 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.415 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.415 * [taylor]: Taking taylor expansion of -1 in k 8.415 * [backup-simplify]: Simplify -1 into -1 8.415 * [taylor]: Taking taylor expansion of k in k 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (/ -1 1) into -1 8.415 * [backup-simplify]: Simplify (sqrt 0) into 0 8.416 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.417 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.417 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.417 * [taylor]: Taking taylor expansion of 1.0 in k 8.417 * [backup-simplify]: Simplify 1.0 into 1.0 8.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.417 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.417 * [taylor]: Taking taylor expansion of -1 in k 8.417 * [backup-simplify]: Simplify -1 into -1 8.417 * [taylor]: Taking taylor expansion of k in k 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (/ -1 1) into -1 8.417 * [backup-simplify]: Simplify (sqrt 0) into 0 8.418 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.418 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.418 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.420 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.422 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.422 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.427 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.427 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.428 * [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))))) 8.428 * * * [progress]: simplifying candidates 8.430 * [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 (* (* 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))) (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 (/ 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) (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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n 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))))) (- (+ (* +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))))) 8.433 * * [simplify]: Extracting # 0 : cost 0 8.433 * * [simplify]: Extracting # 1 : cost 0 8.433 * * [simplify]: Extracting # 2 : cost 0 8.433 * * [simplify]: Extracting # 3 : cost 0 8.434 * * [simplify]: Extracting # 4 : cost 0 8.434 * * [simplify]: Extracting # 5 : cost 0 8.434 * * [simplify]: Extracting # 6 : cost 0 8.438 * * [simplify]: Extracting # 7 : cost 0 8.438 * * [simplify]: Extracting # 8 : cost 0 8.439 * * [simplify]: Extracting # 9 : cost 0 8.439 * * [simplify]: Extracting # 10 : cost 0 8.439 * * [simplify]: Extracting # 11 : cost 0 8.439 * * [simplify]: Extracting # 12 : cost 0 8.440 * * [simplify]: Extracting # 13 : cost 0 8.440 * * [simplify]: iteration 0 : 240 enodes (cost 1698 ) 8.497 * * [simplify]: Extracting # 0 : cost 0 8.498 * * [simplify]: Extracting # 1 : cost 0 8.499 * * [simplify]: Extracting # 2 : cost 0 8.499 * * [simplify]: Extracting # 3 : cost 0 8.500 * * [simplify]: Extracting # 4 : cost 0 8.501 * * [simplify]: Extracting # 5 : cost 0 8.501 * * [simplify]: Extracting # 6 : cost 0 8.502 * * [simplify]: Extracting # 7 : cost 0 8.503 * * [simplify]: iteration 1 : 571 enodes (cost 1560 ) 8.697 * * [simplify]: Extracting # 0 : cost 0 8.702 * * [simplify]: Extracting # 1 : cost 0 8.705 * * [simplify]: Extracting # 2 : cost 0 8.707 * * [simplify]: Extracting # 3 : cost 0 8.709 * * [simplify]: Extracting # 4 : cost 0 8.712 * * [simplify]: Extracting # 5 : cost 0 8.714 * * [simplify]: iteration 2 : 1753 enodes (cost 1456 ) 9.245 * * [simplify]: Extracting # 0 : cost 0 9.256 * * [simplify]: Extracting # 1 : cost 0 9.264 * * [simplify]: Extracting # 2 : cost 0 9.271 * * [simplify]: Extracting # 3 : cost 0 9.277 * * [simplify]: Extracting # 4 : cost 0 9.284 * * [simplify]: Extracting # 5 : cost 0 9.290 * * [simplify]: iteration done: 5000 enodes (cost 1434 ) 9.291 * [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 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)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (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 (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (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) (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 (* (* 2.0 PI) n) 0.5) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2))) (- (fma (* 0.25 (pow k 2)) (* (log n) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (* (pow (* (* 2.0 PI) n) 0.5) (log (* (* 2.0 PI) n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (- (+ (* +nan.0 (- k (* k k))) +nan.0)) (+ (- (/ (/ +nan.0 k) k)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (- (/ (/ +nan.0 k) k))) (- (+ (* +nan.0 (- k (* k k))) +nan.0)) (+ (- (/ (/ +nan.0 k) k)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (- (/ (/ +nan.0 k) k))) 9.292 * * * [progress]: adding candidates to table 9.776 * * [progress]: iteration 4 / 4 9.776 * * * [progress]: picking best candidate 9.808 * * * * [pick]: Picked # 9.808 * * * [progress]: localizing error 9.824 * * * [progress]: generating rewritten candidates 9.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.832 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 9.842 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.875 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 9.887 * * * [progress]: generating series expansions 9.887 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.887 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 9.887 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 9.888 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 9.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 9.888 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 9.888 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.888 * [taylor]: Taking taylor expansion of 0.5 in k 9.888 * [backup-simplify]: Simplify 0.5 into 0.5 9.888 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.888 * [taylor]: Taking taylor expansion of 1.0 in k 9.888 * [backup-simplify]: Simplify 1.0 into 1.0 9.888 * [taylor]: Taking taylor expansion of k in k 9.888 * [backup-simplify]: Simplify 0 into 0 9.888 * [backup-simplify]: Simplify 1 into 1 9.888 * [taylor]: Taking taylor expansion of (log n) in k 9.888 * [taylor]: Taking taylor expansion of n in k 9.888 * [backup-simplify]: Simplify n into n 9.888 * [backup-simplify]: Simplify (log n) into (log n) 9.888 * [backup-simplify]: Simplify (- 0) into 0 9.889 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.889 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.889 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 9.889 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.889 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.889 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.889 * [taylor]: Taking taylor expansion of 0.5 in n 9.889 * [backup-simplify]: Simplify 0.5 into 0.5 9.889 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.889 * [taylor]: Taking taylor expansion of 1.0 in n 9.889 * [backup-simplify]: Simplify 1.0 into 1.0 9.889 * [taylor]: Taking taylor expansion of k in n 9.889 * [backup-simplify]: Simplify k into k 9.889 * [taylor]: Taking taylor expansion of (log n) in n 9.889 * [taylor]: Taking taylor expansion of n in n 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify 1 into 1 9.890 * [backup-simplify]: Simplify (log 1) into 0 9.890 * [backup-simplify]: Simplify (- k) into (- k) 9.890 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.890 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.890 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.890 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.890 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.890 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.890 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.890 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.890 * [taylor]: Taking taylor expansion of 0.5 in n 9.890 * [backup-simplify]: Simplify 0.5 into 0.5 9.890 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.890 * [taylor]: Taking taylor expansion of 1.0 in n 9.890 * [backup-simplify]: Simplify 1.0 into 1.0 9.890 * [taylor]: Taking taylor expansion of k in n 9.890 * [backup-simplify]: Simplify k into k 9.890 * [taylor]: Taking taylor expansion of (log n) in n 9.890 * [taylor]: Taking taylor expansion of n in n 9.890 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify 1 into 1 9.891 * [backup-simplify]: Simplify (log 1) into 0 9.891 * [backup-simplify]: Simplify (- k) into (- k) 9.891 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.891 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.891 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.891 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 9.891 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 9.891 * [taylor]: Taking taylor expansion of 0.5 in k 9.891 * [backup-simplify]: Simplify 0.5 into 0.5 9.891 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 9.891 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.891 * [taylor]: Taking taylor expansion of 1.0 in k 9.891 * [backup-simplify]: Simplify 1.0 into 1.0 9.891 * [taylor]: Taking taylor expansion of k in k 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of (log n) in k 9.891 * [taylor]: Taking taylor expansion of n in k 9.891 * [backup-simplify]: Simplify n into n 9.892 * [backup-simplify]: Simplify (log n) into (log n) 9.892 * [backup-simplify]: Simplify (- 0) into 0 9.892 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.892 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.892 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 9.892 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.892 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 9.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.893 * [backup-simplify]: Simplify (- 0) into 0 9.894 * [backup-simplify]: Simplify (+ 0 0) into 0 9.894 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 9.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.894 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 9.895 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.895 * [taylor]: Taking taylor expansion of 0 in k 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.896 * [backup-simplify]: Simplify (- 1) into -1 9.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.896 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 9.896 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 9.897 * [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))) 9.897 * [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))) 9.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.898 * [backup-simplify]: Simplify (- 0) into 0 9.899 * [backup-simplify]: Simplify (+ 0 0) into 0 9.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.900 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 9.901 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.901 * [taylor]: Taking taylor expansion of 0 in k 9.901 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify 0 into 0 9.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.902 * [backup-simplify]: Simplify (- 0) into 0 9.902 * [backup-simplify]: Simplify (+ 0 0) into 0 9.903 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 9.903 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 9.904 * [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))) 9.904 * [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))) 9.905 * [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)))) 9.905 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 9.905 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.905 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 9.905 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 9.905 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.905 * [taylor]: Taking taylor expansion of 0.5 in k 9.905 * [backup-simplify]: Simplify 0.5 into 0.5 9.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.905 * [taylor]: Taking taylor expansion of 1.0 in k 9.905 * [backup-simplify]: Simplify 1.0 into 1.0 9.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.905 * [taylor]: Taking taylor expansion of k in k 9.905 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify 1 into 1 9.905 * [backup-simplify]: Simplify (/ 1 1) into 1 9.906 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 9.906 * [taylor]: Taking taylor expansion of (/ 1 n) in k 9.906 * [taylor]: Taking taylor expansion of n in k 9.906 * [backup-simplify]: Simplify n into n 9.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.906 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 9.906 * [backup-simplify]: Simplify (- 1) into -1 9.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.906 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.906 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 9.907 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 9.907 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.907 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.907 * [taylor]: Taking taylor expansion of 0.5 in n 9.907 * [backup-simplify]: Simplify 0.5 into 0.5 9.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.907 * [taylor]: Taking taylor expansion of 1.0 in n 9.907 * [backup-simplify]: Simplify 1.0 into 1.0 9.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.907 * [taylor]: Taking taylor expansion of k in n 9.907 * [backup-simplify]: Simplify k into k 9.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.907 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.907 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.907 * [taylor]: Taking taylor expansion of n in n 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify 1 into 1 9.907 * [backup-simplify]: Simplify (/ 1 1) into 1 9.907 * [backup-simplify]: Simplify (log 1) into 0 9.907 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.907 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.907 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.908 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 9.908 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.908 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.908 * [taylor]: Taking taylor expansion of 0.5 in n 9.908 * [backup-simplify]: Simplify 0.5 into 0.5 9.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.908 * [taylor]: Taking taylor expansion of 1.0 in n 9.908 * [backup-simplify]: Simplify 1.0 into 1.0 9.908 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.908 * [taylor]: Taking taylor expansion of k in n 9.908 * [backup-simplify]: Simplify k into k 9.908 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.908 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.908 * [taylor]: Taking taylor expansion of n in n 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.909 * [backup-simplify]: Simplify (/ 1 1) into 1 9.909 * [backup-simplify]: Simplify (log 1) into 0 9.909 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.909 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.909 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.909 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 9.909 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.910 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 9.910 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 9.910 * [taylor]: Taking taylor expansion of -0.5 in k 9.910 * [backup-simplify]: Simplify -0.5 into -0.5 9.910 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 9.910 * [taylor]: Taking taylor expansion of (log n) in k 9.910 * [taylor]: Taking taylor expansion of n in k 9.910 * [backup-simplify]: Simplify n into n 9.910 * [backup-simplify]: Simplify (log n) into (log n) 9.910 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.910 * [taylor]: Taking taylor expansion of 1.0 in k 9.910 * [backup-simplify]: Simplify 1.0 into 1.0 9.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.910 * [taylor]: Taking taylor expansion of k in k 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [backup-simplify]: Simplify (/ 1 1) into 1 9.910 * [backup-simplify]: Simplify (- 1) into -1 9.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.911 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 9.911 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 9.911 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.911 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.912 * [backup-simplify]: Simplify (- 0) into 0 9.913 * [backup-simplify]: Simplify (+ 0 0) into 0 9.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.913 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 9.914 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.914 * [taylor]: Taking taylor expansion of 0 in k 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.916 * [backup-simplify]: Simplify (- 0) into 0 9.916 * [backup-simplify]: Simplify (+ 0 0) into 0 9.917 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.917 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.918 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 9.918 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.918 * [taylor]: Taking taylor expansion of 0 in k 9.918 * [backup-simplify]: Simplify 0 into 0 9.918 * [backup-simplify]: Simplify 0 into 0 9.918 * [backup-simplify]: Simplify 0 into 0 9.918 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.922 * [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 9.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.922 * [backup-simplify]: Simplify (- 0) into 0 9.922 * [backup-simplify]: Simplify (+ 0 0) into 0 9.923 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.924 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 9.925 * [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 9.925 * [taylor]: Taking taylor expansion of 0 in k 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 9.925 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 9.925 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.925 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 9.925 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 9.925 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.926 * [taylor]: Taking taylor expansion of 0.5 in k 9.926 * [backup-simplify]: Simplify 0.5 into 0.5 9.926 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.926 * [taylor]: Taking taylor expansion of k in k 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify 1 into 1 9.926 * [backup-simplify]: Simplify (/ 1 1) into 1 9.926 * [taylor]: Taking taylor expansion of 1.0 in k 9.926 * [backup-simplify]: Simplify 1.0 into 1.0 9.926 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 9.926 * [taylor]: Taking taylor expansion of (/ -1 n) in k 9.926 * [taylor]: Taking taylor expansion of -1 in k 9.926 * [backup-simplify]: Simplify -1 into -1 9.926 * [taylor]: Taking taylor expansion of n in k 9.926 * [backup-simplify]: Simplify n into n 9.926 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 9.926 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 9.926 * [backup-simplify]: Simplify (+ 1 0) into 1 9.927 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.927 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 9.927 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 9.927 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.927 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.927 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.927 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.927 * [taylor]: Taking taylor expansion of 0.5 in n 9.927 * [backup-simplify]: Simplify 0.5 into 0.5 9.927 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.927 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.927 * [taylor]: Taking taylor expansion of k in n 9.927 * [backup-simplify]: Simplify k into k 9.927 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.927 * [taylor]: Taking taylor expansion of 1.0 in n 9.927 * [backup-simplify]: Simplify 1.0 into 1.0 9.927 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.927 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.927 * [taylor]: Taking taylor expansion of -1 in n 9.927 * [backup-simplify]: Simplify -1 into -1 9.927 * [taylor]: Taking taylor expansion of n in n 9.927 * [backup-simplify]: Simplify 0 into 0 9.927 * [backup-simplify]: Simplify 1 into 1 9.927 * [backup-simplify]: Simplify (/ -1 1) into -1 9.928 * [backup-simplify]: Simplify (log -1) into (log -1) 9.928 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.928 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.929 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.929 * [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)))) 9.929 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.929 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.929 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.929 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.929 * [taylor]: Taking taylor expansion of 0.5 in n 9.929 * [backup-simplify]: Simplify 0.5 into 0.5 9.929 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.929 * [taylor]: Taking taylor expansion of k in n 9.929 * [backup-simplify]: Simplify k into k 9.929 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.929 * [taylor]: Taking taylor expansion of 1.0 in n 9.929 * [backup-simplify]: Simplify 1.0 into 1.0 9.929 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.929 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.929 * [taylor]: Taking taylor expansion of -1 in n 9.929 * [backup-simplify]: Simplify -1 into -1 9.929 * [taylor]: Taking taylor expansion of n in n 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 1 into 1 9.930 * [backup-simplify]: Simplify (/ -1 1) into -1 9.930 * [backup-simplify]: Simplify (log -1) into (log -1) 9.930 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.930 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.930 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.931 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.931 * [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)))) 9.931 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 9.931 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 9.931 * [taylor]: Taking taylor expansion of 0.5 in k 9.931 * [backup-simplify]: Simplify 0.5 into 0.5 9.931 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 9.931 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 9.931 * [taylor]: Taking taylor expansion of (log -1) in k 9.931 * [taylor]: Taking taylor expansion of -1 in k 9.931 * [backup-simplify]: Simplify -1 into -1 9.932 * [backup-simplify]: Simplify (log -1) into (log -1) 9.932 * [taylor]: Taking taylor expansion of (log n) in k 9.932 * [taylor]: Taking taylor expansion of n in k 9.932 * [backup-simplify]: Simplify n into n 9.932 * [backup-simplify]: Simplify (log n) into (log n) 9.932 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.932 * [taylor]: Taking taylor expansion of k in k 9.932 * [backup-simplify]: Simplify 0 into 0 9.932 * [backup-simplify]: Simplify 1 into 1 9.932 * [backup-simplify]: Simplify (/ 1 1) into 1 9.932 * [taylor]: Taking taylor expansion of 1.0 in k 9.932 * [backup-simplify]: Simplify 1.0 into 1.0 9.932 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.932 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 9.933 * [backup-simplify]: Simplify (+ 1 0) into 1 9.933 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 9.933 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 9.934 * [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)))) 9.934 * [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)))) 9.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.936 * [backup-simplify]: Simplify (+ 0 0) into 0 9.936 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.937 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 9.937 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.937 * [taylor]: Taking taylor expansion of 0 in k 9.937 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.940 * [backup-simplify]: Simplify (+ 0 0) into 0 9.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.942 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 9.943 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.943 * [taylor]: Taking taylor expansion of 0 in k 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.950 * [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 9.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.951 * [backup-simplify]: Simplify (+ 0 0) into 0 9.951 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.952 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.953 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 9.954 * [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 9.954 * [taylor]: Taking taylor expansion of 0 in k 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [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)))))) 9.954 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.955 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 9.955 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 9.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.955 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.955 * [taylor]: Taking taylor expansion of 0.5 in k 9.955 * [backup-simplify]: Simplify 0.5 into 0.5 9.955 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.955 * [taylor]: Taking taylor expansion of 1.0 in k 9.955 * [backup-simplify]: Simplify 1.0 into 1.0 9.955 * [taylor]: Taking taylor expansion of k in k 9.955 * [backup-simplify]: Simplify 0 into 0 9.955 * [backup-simplify]: Simplify 1 into 1 9.955 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.955 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.955 * [taylor]: Taking taylor expansion of 2.0 in k 9.955 * [backup-simplify]: Simplify 2.0 into 2.0 9.955 * [taylor]: Taking taylor expansion of PI in k 9.955 * [backup-simplify]: Simplify PI into PI 9.956 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.956 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.956 * [backup-simplify]: Simplify (- 0) into 0 9.957 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.957 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.958 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.959 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.960 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.960 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.960 * [taylor]: Taking taylor expansion of 0.5 in k 9.960 * [backup-simplify]: Simplify 0.5 into 0.5 9.960 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.960 * [taylor]: Taking taylor expansion of 1.0 in k 9.960 * [backup-simplify]: Simplify 1.0 into 1.0 9.960 * [taylor]: Taking taylor expansion of k in k 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.960 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.960 * [taylor]: Taking taylor expansion of 2.0 in k 9.960 * [backup-simplify]: Simplify 2.0 into 2.0 9.960 * [taylor]: Taking taylor expansion of PI in k 9.960 * [backup-simplify]: Simplify PI into PI 9.960 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.961 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.961 * [backup-simplify]: Simplify (- 0) into 0 9.961 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.961 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.962 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.964 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.965 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 9.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.966 * [backup-simplify]: Simplify (- 1) into -1 9.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.968 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.970 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 9.977 * [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))) 9.981 * [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))) 9.982 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.983 * [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 9.984 * [backup-simplify]: Simplify (- 0) into 0 9.984 * [backup-simplify]: Simplify (+ 0 0) into 0 9.985 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.986 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 9.994 * [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))) 9.998 * [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))) 10.008 * [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)))) 10.009 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 10.009 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 10.009 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.009 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.009 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.009 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.009 * [taylor]: Taking taylor expansion of 0.5 in k 10.009 * [backup-simplify]: Simplify 0.5 into 0.5 10.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.009 * [taylor]: Taking taylor expansion of 1.0 in k 10.009 * [backup-simplify]: Simplify 1.0 into 1.0 10.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.009 * [taylor]: Taking taylor expansion of k in k 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 1 into 1 10.009 * [backup-simplify]: Simplify (/ 1 1) into 1 10.009 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.009 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.009 * [taylor]: Taking taylor expansion of 2.0 in k 10.009 * [backup-simplify]: Simplify 2.0 into 2.0 10.009 * [taylor]: Taking taylor expansion of PI in k 10.009 * [backup-simplify]: Simplify PI into PI 10.009 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.010 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.010 * [backup-simplify]: Simplify (- 1) into -1 10.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.011 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.012 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.013 * [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))))) 10.013 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.013 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.013 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.013 * [taylor]: Taking taylor expansion of 0.5 in k 10.013 * [backup-simplify]: Simplify 0.5 into 0.5 10.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.013 * [taylor]: Taking taylor expansion of 1.0 in k 10.013 * [backup-simplify]: Simplify 1.0 into 1.0 10.013 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.013 * [taylor]: Taking taylor expansion of k in k 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (/ 1 1) into 1 10.013 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.013 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.013 * [taylor]: Taking taylor expansion of 2.0 in k 10.013 * [backup-simplify]: Simplify 2.0 into 2.0 10.013 * [taylor]: Taking taylor expansion of PI in k 10.013 * [backup-simplify]: Simplify PI into PI 10.014 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.014 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.014 * [backup-simplify]: Simplify (- 1) into -1 10.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.015 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.016 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.017 * [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))))) 10.017 * [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))))) 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [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))))) 10.019 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 10.019 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 10.019 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.019 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.019 * [taylor]: Taking taylor expansion of 0.5 in k 10.019 * [backup-simplify]: Simplify 0.5 into 0.5 10.019 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.019 * [taylor]: Taking taylor expansion of k in k 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 1 into 1 10.019 * [backup-simplify]: Simplify (/ 1 1) into 1 10.019 * [taylor]: Taking taylor expansion of 1.0 in k 10.019 * [backup-simplify]: Simplify 1.0 into 1.0 10.019 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.019 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.019 * [taylor]: Taking taylor expansion of 2.0 in k 10.019 * [backup-simplify]: Simplify 2.0 into 2.0 10.019 * [taylor]: Taking taylor expansion of PI in k 10.019 * [backup-simplify]: Simplify PI into PI 10.020 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.020 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.020 * [backup-simplify]: Simplify (+ 1 0) into 1 10.021 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.022 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.022 * [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)))) 10.022 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.022 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.023 * [taylor]: Taking taylor expansion of 0.5 in k 10.023 * [backup-simplify]: Simplify 0.5 into 0.5 10.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.023 * [taylor]: Taking taylor expansion of k in k 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.023 * [taylor]: Taking taylor expansion of 1.0 in k 10.023 * [backup-simplify]: Simplify 1.0 into 1.0 10.023 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.023 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.023 * [taylor]: Taking taylor expansion of 2.0 in k 10.023 * [backup-simplify]: Simplify 2.0 into 2.0 10.023 * [taylor]: Taking taylor expansion of PI in k 10.023 * [backup-simplify]: Simplify PI into PI 10.023 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.024 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.024 * [backup-simplify]: Simplify (+ 1 0) into 1 10.025 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.026 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.026 * [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)))) 10.027 * [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)))) 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.028 * [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))))) 10.028 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 10.029 * [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))))) 10.029 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 10.029 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 10.029 * [taylor]: Taking taylor expansion of 1.0 in k 10.029 * [backup-simplify]: Simplify 1.0 into 1.0 10.029 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 10.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.029 * [taylor]: Taking taylor expansion of k in k 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 1 into 1 10.029 * [backup-simplify]: Simplify (/ 1 1) into 1 10.029 * [backup-simplify]: Simplify (sqrt 0) into 0 10.030 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.030 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 10.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 10.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 10.030 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.030 * [taylor]: Taking taylor expansion of 0.5 in k 10.030 * [backup-simplify]: Simplify 0.5 into 0.5 10.030 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.030 * [taylor]: Taking taylor expansion of 1.0 in k 10.030 * [backup-simplify]: Simplify 1.0 into 1.0 10.030 * [taylor]: Taking taylor expansion of k in k 10.030 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.031 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.031 * [taylor]: Taking taylor expansion of 2.0 in k 10.031 * [backup-simplify]: Simplify 2.0 into 2.0 10.031 * [taylor]: Taking taylor expansion of PI in k 10.031 * [backup-simplify]: Simplify PI into PI 10.031 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.031 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.032 * [backup-simplify]: Simplify (- 0) into 0 10.032 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.032 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.033 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.035 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 10.035 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 10.035 * [taylor]: Taking taylor expansion of 1.0 in k 10.035 * [backup-simplify]: Simplify 1.0 into 1.0 10.035 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 10.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.035 * [taylor]: Taking taylor expansion of k in k 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify (/ 1 1) into 1 10.035 * [backup-simplify]: Simplify (sqrt 0) into 0 10.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.036 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 10.036 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 10.036 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 10.036 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.036 * [taylor]: Taking taylor expansion of 0.5 in k 10.036 * [backup-simplify]: Simplify 0.5 into 0.5 10.036 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.036 * [taylor]: Taking taylor expansion of 1.0 in k 10.036 * [backup-simplify]: Simplify 1.0 into 1.0 10.036 * [taylor]: Taking taylor expansion of k in k 10.036 * [backup-simplify]: Simplify 0 into 0 10.036 * [backup-simplify]: Simplify 1 into 1 10.036 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.036 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.036 * [taylor]: Taking taylor expansion of 2.0 in k 10.036 * [backup-simplify]: Simplify 2.0 into 2.0 10.036 * [taylor]: Taking taylor expansion of PI in k 10.036 * [backup-simplify]: Simplify PI into PI 10.037 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.037 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.038 * [backup-simplify]: Simplify (- 0) into 0 10.038 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.038 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.045 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.047 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 10.048 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 10.048 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.048 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 10.050 * [backup-simplify]: Simplify (- 1) into -1 10.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.051 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 10.060 * [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))) 10.064 * [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))) 10.069 * [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))) 10.072 * [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))) 10.073 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.075 * [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 10.075 * [backup-simplify]: Simplify (- 0) into 0 10.076 * [backup-simplify]: Simplify (+ 0 0) into 0 10.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 10.086 * [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))) 10.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.088 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.099 * [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))))) 10.114 * [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))))) 10.124 * [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))))) 10.125 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.135 * [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 10.135 * [backup-simplify]: Simplify (- 0) into 0 10.136 * [backup-simplify]: Simplify (+ 0 0) into 0 10.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 10.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 10.148 * [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))) 10.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.171 * [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))))))) 10.201 * [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)))))))) 10.228 * [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)))))))) 10.261 * [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))))))))))))) 10.262 * [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)))))) 10.262 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 10.262 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.262 * [taylor]: Taking taylor expansion of 1.0 in k 10.262 * [backup-simplify]: Simplify 1.0 into 1.0 10.262 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.262 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.262 * [taylor]: Taking taylor expansion of k in k 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify 1 into 1 10.262 * [backup-simplify]: Simplify (sqrt 0) into 0 10.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.263 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.263 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.263 * [taylor]: Taking taylor expansion of 0.5 in k 10.263 * [backup-simplify]: Simplify 0.5 into 0.5 10.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.263 * [taylor]: Taking taylor expansion of 1.0 in k 10.263 * [backup-simplify]: Simplify 1.0 into 1.0 10.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.263 * [taylor]: Taking taylor expansion of k in k 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (/ 1 1) into 1 10.264 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.264 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.264 * [taylor]: Taking taylor expansion of 2.0 in k 10.264 * [backup-simplify]: Simplify 2.0 into 2.0 10.264 * [taylor]: Taking taylor expansion of PI in k 10.264 * [backup-simplify]: Simplify PI into PI 10.264 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.265 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.265 * [backup-simplify]: Simplify (- 1) into -1 10.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.266 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.266 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.267 * [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))))) 10.267 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.267 * [taylor]: Taking taylor expansion of 1.0 in k 10.267 * [backup-simplify]: Simplify 1.0 into 1.0 10.267 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.267 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.267 * [taylor]: Taking taylor expansion of k in k 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 1 into 1 10.268 * [backup-simplify]: Simplify (sqrt 0) into 0 10.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.268 * [taylor]: Taking taylor expansion of 0.5 in k 10.268 * [backup-simplify]: Simplify 0.5 into 0.5 10.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.268 * [taylor]: Taking taylor expansion of 1.0 in k 10.268 * [backup-simplify]: Simplify 1.0 into 1.0 10.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.268 * [taylor]: Taking taylor expansion of k in k 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 1 into 1 10.269 * [backup-simplify]: Simplify (/ 1 1) into 1 10.269 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.269 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.269 * [taylor]: Taking taylor expansion of 2.0 in k 10.269 * [backup-simplify]: Simplify 2.0 into 2.0 10.269 * [taylor]: Taking taylor expansion of PI in k 10.269 * [backup-simplify]: Simplify PI into PI 10.269 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.270 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.270 * [backup-simplify]: Simplify (- 1) into -1 10.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.271 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.272 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.272 * [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))))) 10.273 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 10.273 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.273 * [backup-simplify]: Simplify 0 into 0 10.274 * [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))))))) 10.275 * [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))))))) 10.276 * [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))))))) 10.278 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.279 * [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))))))) 10.281 * [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))))))) 10.282 * [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))))))) 10.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.285 * [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))))))) 10.288 * [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))))))) 10.288 * [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))))))) 10.291 * [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)))))))) 10.291 * [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)))) 10.291 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 10.291 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.291 * [taylor]: Taking taylor expansion of 1.0 in k 10.291 * [backup-simplify]: Simplify 1.0 into 1.0 10.291 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.291 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.292 * [taylor]: Taking taylor expansion of 0.5 in k 10.292 * [backup-simplify]: Simplify 0.5 into 0.5 10.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.292 * [taylor]: Taking taylor expansion of k in k 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 1 into 1 10.292 * [backup-simplify]: Simplify (/ 1 1) into 1 10.292 * [taylor]: Taking taylor expansion of 1.0 in k 10.292 * [backup-simplify]: Simplify 1.0 into 1.0 10.292 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.292 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.292 * [taylor]: Taking taylor expansion of 2.0 in k 10.292 * [backup-simplify]: Simplify 2.0 into 2.0 10.292 * [taylor]: Taking taylor expansion of PI in k 10.292 * [backup-simplify]: Simplify PI into PI 10.292 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.293 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.293 * [backup-simplify]: Simplify (+ 1 0) into 1 10.294 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.295 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.295 * [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)))) 10.295 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.295 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.295 * [taylor]: Taking taylor expansion of -1 in k 10.295 * [backup-simplify]: Simplify -1 into -1 10.295 * [taylor]: Taking taylor expansion of k in k 10.295 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify 1 into 1 10.296 * [backup-simplify]: Simplify (/ -1 1) into -1 10.296 * [backup-simplify]: Simplify (sqrt 0) into 0 10.297 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.297 * [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))))) 10.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.297 * [taylor]: Taking taylor expansion of 1.0 in k 10.297 * [backup-simplify]: Simplify 1.0 into 1.0 10.297 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.297 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.298 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.298 * [taylor]: Taking taylor expansion of 0.5 in k 10.298 * [backup-simplify]: Simplify 0.5 into 0.5 10.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.298 * [taylor]: Taking taylor expansion of k in k 10.298 * [backup-simplify]: Simplify 0 into 0 10.298 * [backup-simplify]: Simplify 1 into 1 10.298 * [backup-simplify]: Simplify (/ 1 1) into 1 10.298 * [taylor]: Taking taylor expansion of 1.0 in k 10.298 * [backup-simplify]: Simplify 1.0 into 1.0 10.298 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.298 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.298 * [taylor]: Taking taylor expansion of 2.0 in k 10.298 * [backup-simplify]: Simplify 2.0 into 2.0 10.298 * [taylor]: Taking taylor expansion of PI in k 10.298 * [backup-simplify]: Simplify PI into PI 10.298 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.299 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.299 * [backup-simplify]: Simplify (+ 1 0) into 1 10.299 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.300 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.301 * [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)))) 10.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.301 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.301 * [taylor]: Taking taylor expansion of -1 in k 10.301 * [backup-simplify]: Simplify -1 into -1 10.301 * [taylor]: Taking taylor expansion of k in k 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 1 into 1 10.301 * [backup-simplify]: Simplify (/ -1 1) into -1 10.302 * [backup-simplify]: Simplify (sqrt 0) into 0 10.302 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.303 * [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))))) 10.304 * [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))))) 10.305 * [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))))) 10.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.307 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.314 * [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)))))) 10.316 * [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)))))) 10.317 * [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)))))) 10.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.322 * [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)))))) 10.324 * [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)))))) 10.325 * [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)))))) 10.327 * [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))))))))))) 10.327 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 10.327 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 10.328 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 10.328 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.328 * [taylor]: Taking taylor expansion of 1.0 in k 10.328 * [backup-simplify]: Simplify 1.0 into 1.0 10.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.328 * [taylor]: Taking taylor expansion of k in k 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [backup-simplify]: Simplify (/ 1 1) into 1 10.328 * [backup-simplify]: Simplify (sqrt 0) into 0 10.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.329 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.329 * [taylor]: Taking taylor expansion of 1.0 in k 10.329 * [backup-simplify]: Simplify 1.0 into 1.0 10.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.329 * [taylor]: Taking taylor expansion of k in k 10.329 * [backup-simplify]: Simplify 0 into 0 10.329 * [backup-simplify]: Simplify 1 into 1 10.329 * [backup-simplify]: Simplify (/ 1 1) into 1 10.330 * [backup-simplify]: Simplify (sqrt 0) into 0 10.330 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.331 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.332 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.334 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.335 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.335 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.339 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.340 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.340 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 10.340 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 10.340 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 10.340 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.341 * [taylor]: Taking taylor expansion of 1.0 in k 10.341 * [backup-simplify]: Simplify 1.0 into 1.0 10.341 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.341 * [taylor]: Taking taylor expansion of k in k 10.341 * [backup-simplify]: Simplify 0 into 0 10.341 * [backup-simplify]: Simplify 1 into 1 10.341 * [backup-simplify]: Simplify (sqrt 0) into 0 10.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.342 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.342 * [taylor]: Taking taylor expansion of 1.0 in k 10.342 * [backup-simplify]: Simplify 1.0 into 1.0 10.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.342 * [taylor]: Taking taylor expansion of k in k 10.342 * [backup-simplify]: Simplify 0 into 0 10.342 * [backup-simplify]: Simplify 1 into 1 10.342 * [backup-simplify]: Simplify (sqrt 0) into 0 10.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.343 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.343 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.344 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.346 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.347 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.347 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.350 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.352 * [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)))))))) 10.352 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 10.352 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 10.352 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.352 * [taylor]: Taking taylor expansion of 1.0 in k 10.352 * [backup-simplify]: Simplify 1.0 into 1.0 10.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.352 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.352 * [taylor]: Taking taylor expansion of -1 in k 10.352 * [backup-simplify]: Simplify -1 into -1 10.352 * [taylor]: Taking taylor expansion of k in k 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [backup-simplify]: Simplify (/ -1 1) into -1 10.352 * [backup-simplify]: Simplify (sqrt 0) into 0 10.353 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.353 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.353 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.353 * [taylor]: Taking taylor expansion of 1.0 in k 10.354 * [backup-simplify]: Simplify 1.0 into 1.0 10.354 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.354 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.354 * [taylor]: Taking taylor expansion of -1 in k 10.354 * [backup-simplify]: Simplify -1 into -1 10.354 * [taylor]: Taking taylor expansion of k in k 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [backup-simplify]: Simplify (/ -1 1) into -1 10.354 * [backup-simplify]: Simplify (sqrt 0) into 0 10.355 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.355 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.355 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.357 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.359 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.359 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.364 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.364 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.365 * [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))))) 10.365 * * * [progress]: simplifying candidates 10.368 * [simplify]: Simplifying: (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 (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 (* (/ 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 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)))))) (- (+ (* 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))))) (- (+ (* +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))))) 10.372 * * [simplify]: Extracting # 0 : cost 0 10.372 * * [simplify]: Extracting # 1 : cost 0 10.372 * * [simplify]: Extracting # 2 : cost 0 10.373 * * [simplify]: Extracting # 3 : cost 0 10.373 * * [simplify]: Extracting # 4 : cost 0 10.374 * * [simplify]: Extracting # 5 : cost 0 10.374 * * [simplify]: Extracting # 6 : cost 0 10.374 * * [simplify]: Extracting # 7 : cost 0 10.375 * * [simplify]: Extracting # 8 : cost 0 10.376 * * [simplify]: Extracting # 9 : cost 0 10.376 * * [simplify]: Extracting # 10 : cost 0 10.377 * * [simplify]: Extracting # 11 : cost 0 10.377 * * [simplify]: Extracting # 12 : cost 0 10.377 * * [simplify]: Extracting # 13 : cost 0 10.378 * * [simplify]: Extracting # 14 : cost 0 10.378 * * [simplify]: Extracting # 15 : cost 0 10.379 * * [simplify]: Extracting # 16 : cost 0 10.379 * * [simplify]: Extracting # 17 : cost 0 10.380 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 10.476 * * [simplify]: Extracting # 0 : cost 0 10.477 * * [simplify]: Extracting # 1 : cost 0 10.478 * * [simplify]: Extracting # 2 : cost 0 10.479 * * [simplify]: Extracting # 3 : cost 0 10.480 * * [simplify]: Extracting # 4 : cost 0 10.481 * * [simplify]: iteration 1 : 831 enodes (cost 2468 ) 10.789 * * [simplify]: Extracting # 0 : cost 0 10.792 * * [simplify]: Extracting # 1 : cost 0 10.795 * * [simplify]: Extracting # 2 : cost 0 10.798 * * [simplify]: Extracting # 3 : cost 0 10.801 * * [simplify]: Extracting # 4 : cost 0 10.805 * * [simplify]: iteration 2 : 2409 enodes (cost 2362 ) 11.453 * * [simplify]: Extracting # 0 : cost 0 11.460 * * [simplify]: Extracting # 1 : cost 0 11.467 * * [simplify]: Extracting # 2 : cost 0 11.473 * * [simplify]: Extracting # 3 : cost 0 11.488 * * [simplify]: Extracting # 4 : cost 0 11.494 * * [simplify]: iteration done: 5000 enodes (cost 2337 ) 11.496 * [simplify]: Simplified to: (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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 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) (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)))) (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))) (* 2.0 PI) (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))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (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 (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (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 (* (/ 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 1.0 3) (* (sqrt k) k)) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3)) (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) (* (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 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))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (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 (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (fma (- +nan.0) (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (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 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0)))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 3))) (* (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (- +nan.0) k))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5)) (* (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (- +nan.0) k))) (- (fma k +nan.0 (fma (- (pow k 2)) +nan.0 +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))) 11.497 * * * [progress]: adding candidates to table 12.055 * [progress]: [Phase 3 of 3] Extracting. 12.055 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 12.058 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 12.058 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 12.101 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 12.142 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 12.180 * * * [regime]: Found split indices: #