17.473 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: Extracting # 4 : cost 0 0.086 * * [simplify]: Extracting # 5 : cost 0 0.086 * * [simplify]: Extracting # 6 : cost 0 0.086 * * [simplify]: Extracting # 7 : cost 0 0.086 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: Extracting # 1 : cost 0 0.089 * * [simplify]: Extracting # 2 : cost 0 0.089 * * [simplify]: Extracting # 3 : cost 0 0.090 * * [simplify]: Extracting # 4 : cost 0 0.090 * * [simplify]: Extracting # 5 : cost 0 0.090 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.095 * * [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 0.096 * * [simplify]: Extracting # 4 : cost 0 0.096 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.108 * * [simplify]: Extracting # 2 : cost 0 0.108 * * [simplify]: Extracting # 3 : cost 0 0.108 * * [simplify]: Extracting # 4 : cost 0 0.108 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.140 * * [simplify]: Extracting # 1 : cost 0 0.140 * * [simplify]: Extracting # 2 : cost 0 0.140 * * [simplify]: Extracting # 3 : cost 0 0.141 * * [simplify]: Extracting # 4 : cost 0 0.141 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.289 * * [simplify]: Extracting # 0 : cost 0 0.290 * * [simplify]: Extracting # 1 : cost 0 0.291 * * [simplify]: Extracting # 2 : cost 0 0.292 * * [simplify]: Extracting # 3 : cost 0 0.293 * * [simplify]: Extracting # 4 : cost 0 0.296 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 1.261 * * [simplify]: Extracting # 0 : cost 0 1.265 * * [simplify]: Extracting # 1 : cost 0 1.267 * * [simplify]: Extracting # 2 : cost 0 1.273 * * [simplify]: Extracting # 3 : cost 0 1.275 * * [simplify]: Extracting # 4 : cost 0 1.278 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 2.383 * * [simplify]: Extracting # 0 : cost 0 2.388 * * [simplify]: Extracting # 1 : cost 0 2.393 * * [simplify]: Extracting # 2 : cost 0 2.398 * * [simplify]: Extracting # 3 : cost 0 2.403 * * [simplify]: Extracting # 4 : cost 0 2.410 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 2.410 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.410 * * [progress]: iteration 1 / 4 2.410 * * * [progress]: picking best candidate 2.412 * * * * [pick]: Picked # 2.412 * * * [progress]: localizing error 2.425 * * * [progress]: generating rewritten candidates 2.425 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.446 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.453 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.472 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.516 * * * [progress]: generating series expansions 2.517 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.517 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.517 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.517 * [taylor]: Taking taylor expansion of 0.5 in k 2.517 * [backup-simplify]: Simplify 0.5 into 0.5 2.517 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.518 * [taylor]: Taking taylor expansion of 1.0 in k 2.518 * [backup-simplify]: Simplify 1.0 into 1.0 2.518 * [taylor]: Taking taylor expansion of k in k 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.518 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.518 * [taylor]: Taking taylor expansion of 2.0 in k 2.518 * [backup-simplify]: Simplify 2.0 into 2.0 2.518 * [taylor]: Taking taylor expansion of (* n PI) in k 2.518 * [taylor]: Taking taylor expansion of n in k 2.518 * [backup-simplify]: Simplify n into n 2.518 * [taylor]: Taking taylor expansion of PI in k 2.518 * [backup-simplify]: Simplify PI into PI 2.518 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.518 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.518 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.518 * [backup-simplify]: Simplify (- 0) into 0 2.518 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.519 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.519 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.519 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.519 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.519 * [taylor]: Taking taylor expansion of 0.5 in n 2.519 * [backup-simplify]: Simplify 0.5 into 0.5 2.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.519 * [taylor]: Taking taylor expansion of 1.0 in n 2.519 * [backup-simplify]: Simplify 1.0 into 1.0 2.519 * [taylor]: Taking taylor expansion of k in n 2.519 * [backup-simplify]: Simplify k into k 2.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.519 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.519 * [taylor]: Taking taylor expansion of 2.0 in n 2.519 * [backup-simplify]: Simplify 2.0 into 2.0 2.519 * [taylor]: Taking taylor expansion of (* n PI) in n 2.519 * [taylor]: Taking taylor expansion of n in n 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [taylor]: Taking taylor expansion of PI in n 2.519 * [backup-simplify]: Simplify PI into PI 2.520 * [backup-simplify]: Simplify (* 0 PI) into 0 2.520 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.522 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.523 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.523 * [backup-simplify]: Simplify (- k) into (- k) 2.523 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.523 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.523 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.524 * [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)))) 2.525 * [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))))) 2.525 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.525 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.525 * [taylor]: Taking taylor expansion of 0.5 in n 2.525 * [backup-simplify]: Simplify 0.5 into 0.5 2.525 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [backup-simplify]: Simplify 1.0 into 1.0 2.525 * [taylor]: Taking taylor expansion of k in n 2.525 * [backup-simplify]: Simplify k into k 2.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.525 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.525 * [taylor]: Taking taylor expansion of 2.0 in n 2.525 * [backup-simplify]: Simplify 2.0 into 2.0 2.525 * [taylor]: Taking taylor expansion of (* n PI) in n 2.525 * [taylor]: Taking taylor expansion of n in n 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [taylor]: Taking taylor expansion of PI in n 2.525 * [backup-simplify]: Simplify PI into PI 2.525 * [backup-simplify]: Simplify (* 0 PI) into 0 2.526 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.527 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.527 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.528 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.528 * [backup-simplify]: Simplify (- k) into (- k) 2.528 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.528 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.529 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.530 * [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)))) 2.530 * [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))))) 2.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.530 * [taylor]: Taking taylor expansion of 0.5 in k 2.530 * [backup-simplify]: Simplify 0.5 into 0.5 2.530 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.530 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.530 * [taylor]: Taking taylor expansion of 1.0 in k 2.530 * [backup-simplify]: Simplify 1.0 into 1.0 2.530 * [taylor]: Taking taylor expansion of k in k 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.530 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.531 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.531 * [taylor]: Taking taylor expansion of 2.0 in k 2.531 * [backup-simplify]: Simplify 2.0 into 2.0 2.531 * [taylor]: Taking taylor expansion of PI in k 2.531 * [backup-simplify]: Simplify PI into PI 2.531 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.531 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.531 * [taylor]: Taking taylor expansion of (log n) in k 2.531 * [taylor]: Taking taylor expansion of n in k 2.532 * [backup-simplify]: Simplify n into n 2.532 * [backup-simplify]: Simplify (log n) into (log n) 2.532 * [backup-simplify]: Simplify (- 0) into 0 2.532 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.533 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.533 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.534 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.535 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.535 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.540 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.542 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.542 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.544 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.544 * [taylor]: Taking taylor expansion of 0 in k 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.546 * [backup-simplify]: Simplify (- 1) into -1 2.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.547 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.548 * [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)))) 2.550 * [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)))))) 2.552 * [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)))))) 2.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.555 * [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 2.555 * [backup-simplify]: Simplify (- 0) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.557 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.558 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.559 * [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 2.559 * [taylor]: Taking taylor expansion of 0 in k 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.561 * [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 2.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.562 * [backup-simplify]: Simplify (+ 0 0) into 0 2.563 * [backup-simplify]: Simplify (- 0) into 0 2.563 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.568 * [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)))))) 2.571 * [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)))))) 2.576 * [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)))))) 2.577 * [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)))) 2.577 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.577 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.577 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.577 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.577 * [taylor]: Taking taylor expansion of 0.5 in k 2.577 * [backup-simplify]: Simplify 0.5 into 0.5 2.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.577 * [taylor]: Taking taylor expansion of 1.0 in k 2.577 * [backup-simplify]: Simplify 1.0 into 1.0 2.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.577 * [taylor]: Taking taylor expansion of k in k 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (/ 1 1) into 1 2.578 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.578 * [taylor]: Taking taylor expansion of 2.0 in k 2.578 * [backup-simplify]: Simplify 2.0 into 2.0 2.578 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.578 * [taylor]: Taking taylor expansion of PI in k 2.578 * [backup-simplify]: Simplify PI into PI 2.578 * [taylor]: Taking taylor expansion of n in k 2.578 * [backup-simplify]: Simplify n into n 2.578 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.578 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.578 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.578 * [backup-simplify]: Simplify (- 1) into -1 2.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.579 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.579 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.579 * [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))))) 2.579 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.579 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.579 * [taylor]: Taking taylor expansion of 0.5 in n 2.579 * [backup-simplify]: Simplify 0.5 into 0.5 2.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.579 * [taylor]: Taking taylor expansion of 1.0 in n 2.579 * [backup-simplify]: Simplify 1.0 into 1.0 2.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.579 * [taylor]: Taking taylor expansion of k in n 2.579 * [backup-simplify]: Simplify k into k 2.579 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.579 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.579 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.579 * [taylor]: Taking taylor expansion of 2.0 in n 2.579 * [backup-simplify]: Simplify 2.0 into 2.0 2.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.579 * [taylor]: Taking taylor expansion of PI in n 2.579 * [backup-simplify]: Simplify PI into PI 2.579 * [taylor]: Taking taylor expansion of n in n 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ PI 1) into PI 2.580 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.580 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.580 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.580 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.581 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.582 * [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)))) 2.583 * [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))))) 2.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.583 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.583 * [taylor]: Taking taylor expansion of 0.5 in n 2.583 * [backup-simplify]: Simplify 0.5 into 0.5 2.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.583 * [taylor]: Taking taylor expansion of 1.0 in n 2.583 * [backup-simplify]: Simplify 1.0 into 1.0 2.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.583 * [taylor]: Taking taylor expansion of k in n 2.583 * [backup-simplify]: Simplify k into k 2.583 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.583 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.583 * [taylor]: Taking taylor expansion of 2.0 in n 2.583 * [backup-simplify]: Simplify 2.0 into 2.0 2.583 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.583 * [taylor]: Taking taylor expansion of PI in n 2.583 * [backup-simplify]: Simplify PI into PI 2.583 * [taylor]: Taking taylor expansion of n in n 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (/ PI 1) into PI 2.584 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.584 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.584 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.584 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.584 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.586 * [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)))) 2.587 * [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))))) 2.587 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.587 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.587 * [taylor]: Taking taylor expansion of 0.5 in k 2.587 * [backup-simplify]: Simplify 0.5 into 0.5 2.587 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.587 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.587 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.587 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.587 * [taylor]: Taking taylor expansion of 2.0 in k 2.587 * [backup-simplify]: Simplify 2.0 into 2.0 2.587 * [taylor]: Taking taylor expansion of PI in k 2.587 * [backup-simplify]: Simplify PI into PI 2.587 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.588 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.588 * [taylor]: Taking taylor expansion of (log n) in k 2.588 * [taylor]: Taking taylor expansion of n in k 2.588 * [backup-simplify]: Simplify n into n 2.588 * [backup-simplify]: Simplify (log n) into (log n) 2.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.588 * [taylor]: Taking taylor expansion of 1.0 in k 2.588 * [backup-simplify]: Simplify 1.0 into 1.0 2.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.588 * [taylor]: Taking taylor expansion of k in k 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.589 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.589 * [backup-simplify]: Simplify (- 1) into -1 2.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.590 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.591 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.591 * [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))))) 2.592 * [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))))) 2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.594 * [backup-simplify]: Simplify (- 0) into 0 2.594 * [backup-simplify]: Simplify (+ 0 0) into 0 2.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.596 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.597 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (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 2.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.600 * [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 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.600 * [backup-simplify]: Simplify (- 0) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.603 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.604 * [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 2.604 * [taylor]: Taking taylor expansion of 0 in k 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.609 * [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 2.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.609 * [backup-simplify]: Simplify (- 0) into 0 2.609 * [backup-simplify]: Simplify (+ 0 0) into 0 2.610 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.612 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.613 * [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 2.613 * [taylor]: Taking taylor expansion of 0 in k 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 0 into 0 2.614 * [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)))) 2.615 * [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))) 2.615 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.615 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.615 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.615 * [taylor]: Taking taylor expansion of 0.5 in k 2.615 * [backup-simplify]: Simplify 0.5 into 0.5 2.615 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.615 * [taylor]: Taking taylor expansion of k in k 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (/ 1 1) into 1 2.615 * [taylor]: Taking taylor expansion of 1.0 in k 2.615 * [backup-simplify]: Simplify 1.0 into 1.0 2.615 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.615 * [taylor]: Taking taylor expansion of -2.0 in k 2.615 * [backup-simplify]: Simplify -2.0 into -2.0 2.615 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.615 * [taylor]: Taking taylor expansion of PI in k 2.615 * [backup-simplify]: Simplify PI into PI 2.615 * [taylor]: Taking taylor expansion of n in k 2.615 * [backup-simplify]: Simplify n into n 2.615 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.615 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.615 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.616 * [backup-simplify]: Simplify (+ 1 0) into 1 2.616 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.616 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.616 * [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)))))) 2.616 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.616 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.616 * [taylor]: Taking taylor expansion of 0.5 in n 2.616 * [backup-simplify]: Simplify 0.5 into 0.5 2.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.616 * [taylor]: Taking taylor expansion of k in n 2.616 * [backup-simplify]: Simplify k into k 2.616 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.616 * [taylor]: Taking taylor expansion of 1.0 in n 2.616 * [backup-simplify]: Simplify 1.0 into 1.0 2.616 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.616 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.616 * [taylor]: Taking taylor expansion of -2.0 in n 2.616 * [backup-simplify]: Simplify -2.0 into -2.0 2.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.616 * [backup-simplify]: Simplify PI into PI 2.617 * [taylor]: Taking taylor expansion of n in n 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (/ PI 1) into PI 2.617 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.618 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.618 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.618 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.619 * [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)))) 2.620 * [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))))) 2.620 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.620 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.620 * [taylor]: Taking taylor expansion of 0.5 in n 2.620 * [backup-simplify]: Simplify 0.5 into 0.5 2.620 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.620 * [taylor]: Taking taylor expansion of k in n 2.620 * [backup-simplify]: Simplify k into k 2.620 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.620 * [taylor]: Taking taylor expansion of 1.0 in n 2.620 * [backup-simplify]: Simplify 1.0 into 1.0 2.620 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.620 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.620 * [taylor]: Taking taylor expansion of -2.0 in n 2.620 * [backup-simplify]: Simplify -2.0 into -2.0 2.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.620 * [taylor]: Taking taylor expansion of PI in n 2.620 * [backup-simplify]: Simplify PI into PI 2.620 * [taylor]: Taking taylor expansion of n in n 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (/ PI 1) into PI 2.621 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.622 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.622 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.622 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.623 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.623 * [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)))) 2.624 * [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))))) 2.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.624 * [taylor]: Taking taylor expansion of 0.5 in k 2.624 * [backup-simplify]: Simplify 0.5 into 0.5 2.624 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.624 * [taylor]: Taking taylor expansion of k in k 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [taylor]: Taking taylor expansion of 1.0 in k 2.624 * [backup-simplify]: Simplify 1.0 into 1.0 2.624 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.624 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.624 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.624 * [taylor]: Taking taylor expansion of -2.0 in k 2.625 * [backup-simplify]: Simplify -2.0 into -2.0 2.625 * [taylor]: Taking taylor expansion of PI in k 2.625 * [backup-simplify]: Simplify PI into PI 2.625 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.625 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.625 * [taylor]: Taking taylor expansion of (log n) in k 2.625 * [taylor]: Taking taylor expansion of n in k 2.625 * [backup-simplify]: Simplify n into n 2.626 * [backup-simplify]: Simplify (log n) into (log n) 2.626 * [backup-simplify]: Simplify (+ 1 0) into 1 2.626 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.626 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.627 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.631 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.632 * [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))))) 2.632 * [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))))) 2.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.635 * [backup-simplify]: Simplify (+ 0 0) into 0 2.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.636 * [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 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.637 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.638 * [taylor]: Taking taylor expansion of 0 in k 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [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 2.641 * [backup-simplify]: Simplify (+ 0 0) into 0 2.641 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) 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 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.644 * [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 2.644 * [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 2.644 * [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 2.648 * [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 0) into 0 2.649 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.650 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.651 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.653 * [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 2.653 * [taylor]: Taking taylor expansion of 0 in k 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.654 * [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)))))) 2.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.654 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.654 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.654 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.654 * [taylor]: Taking taylor expansion of 1.0 in k 2.654 * [backup-simplify]: Simplify 1.0 into 1.0 2.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.654 * [taylor]: Taking taylor expansion of k in k 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify (/ 1 1) into 1 2.655 * [backup-simplify]: Simplify (sqrt 0) into 0 2.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.655 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 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 (sqrt (/ 1 k)) 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 * [backup-simplify]: Simplify (sqrt 0) into 0 2.657 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.657 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.658 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.661 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.661 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.665 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.665 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.666 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.666 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.666 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.666 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.666 * [taylor]: Taking taylor expansion of 1.0 in k 2.666 * [backup-simplify]: Simplify 1.0 into 1.0 2.667 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.667 * [taylor]: Taking taylor expansion of k in k 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (sqrt 0) into 0 2.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.668 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.668 * [taylor]: Taking taylor expansion of 1.0 in k 2.668 * [backup-simplify]: Simplify 1.0 into 1.0 2.668 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.668 * [taylor]: Taking taylor expansion of k in k 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (sqrt 0) into 0 2.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.669 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.670 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.671 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.673 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.673 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.676 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.676 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.677 * [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)))))))) 2.677 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.678 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.678 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.678 * [taylor]: Taking taylor expansion of 1.0 in k 2.678 * [backup-simplify]: Simplify 1.0 into 1.0 2.678 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.678 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.678 * [taylor]: Taking taylor expansion of -1 in k 2.678 * [backup-simplify]: Simplify -1 into -1 2.678 * [taylor]: Taking taylor expansion of k in k 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (/ -1 1) into -1 2.678 * [backup-simplify]: Simplify (sqrt 0) into 0 2.679 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.679 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.679 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.679 * [taylor]: Taking taylor expansion of 1.0 in k 2.679 * [backup-simplify]: Simplify 1.0 into 1.0 2.679 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.679 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.679 * [taylor]: Taking taylor expansion of -1 in k 2.679 * [backup-simplify]: Simplify -1 into -1 2.679 * [taylor]: Taking taylor expansion of k in k 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ -1 1) into -1 2.680 * [backup-simplify]: Simplify (sqrt 0) into 0 2.681 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.681 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.681 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.685 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.685 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.690 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.690 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.691 * [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))))) 2.691 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.691 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.691 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.691 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.691 * [taylor]: Taking taylor expansion of 2.0 in n 2.691 * [backup-simplify]: Simplify 2.0 into 2.0 2.691 * [taylor]: Taking taylor expansion of (* n PI) in n 2.691 * [taylor]: Taking taylor expansion of n in n 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of PI in n 2.691 * [backup-simplify]: Simplify PI into PI 2.691 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.691 * [taylor]: Taking taylor expansion of 2.0 in n 2.691 * [backup-simplify]: Simplify 2.0 into 2.0 2.691 * [taylor]: Taking taylor expansion of (* n PI) in n 2.691 * [taylor]: Taking taylor expansion of n in n 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of PI in n 2.691 * [backup-simplify]: Simplify PI into PI 2.692 * [backup-simplify]: Simplify (* 0 PI) into 0 2.692 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.694 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.694 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.695 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.697 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.698 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.704 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.704 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.704 * [taylor]: Taking taylor expansion of 2.0 in n 2.704 * [backup-simplify]: Simplify 2.0 into 2.0 2.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.704 * [taylor]: Taking taylor expansion of PI in n 2.704 * [backup-simplify]: Simplify PI into PI 2.704 * [taylor]: Taking taylor expansion of n in n 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (/ PI 1) into PI 2.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.705 * [taylor]: Taking taylor expansion of 2.0 in n 2.705 * [backup-simplify]: Simplify 2.0 into 2.0 2.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.705 * [taylor]: Taking taylor expansion of PI in n 2.705 * [backup-simplify]: Simplify PI into PI 2.705 * [taylor]: Taking taylor expansion of n in n 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (/ PI 1) into PI 2.705 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.706 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [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 2.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.714 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.714 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.714 * [taylor]: Taking taylor expansion of -2.0 in n 2.714 * [backup-simplify]: Simplify -2.0 into -2.0 2.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.714 * [taylor]: Taking taylor expansion of PI in n 2.714 * [backup-simplify]: Simplify PI into PI 2.714 * [taylor]: Taking taylor expansion of n in n 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (/ PI 1) into PI 2.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.714 * [taylor]: Taking taylor expansion of -2.0 in n 2.714 * [backup-simplify]: Simplify -2.0 into -2.0 2.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.714 * [taylor]: Taking taylor expansion of PI in n 2.714 * [backup-simplify]: Simplify PI into PI 2.714 * [taylor]: Taking taylor expansion of n in n 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (/ PI 1) into PI 2.715 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.715 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 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)) (* 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 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.726 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.727 * [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))))) 2.727 * [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 2.727 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.727 * [taylor]: Taking taylor expansion of 1.0 in n 2.727 * [backup-simplify]: Simplify 1.0 into 1.0 2.727 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.727 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.727 * [taylor]: Taking taylor expansion of k in n 2.727 * [backup-simplify]: Simplify k into k 2.727 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.727 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.727 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.727 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.727 * [taylor]: Taking taylor expansion of 0.5 in n 2.727 * [backup-simplify]: Simplify 0.5 into 0.5 2.727 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.727 * [taylor]: Taking taylor expansion of 1.0 in n 2.727 * [backup-simplify]: Simplify 1.0 into 1.0 2.727 * [taylor]: Taking taylor expansion of k in n 2.727 * [backup-simplify]: Simplify k into k 2.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.727 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.727 * [taylor]: Taking taylor expansion of 2.0 in n 2.727 * [backup-simplify]: Simplify 2.0 into 2.0 2.727 * [taylor]: Taking taylor expansion of (* n PI) in n 2.727 * [taylor]: Taking taylor expansion of n in n 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.728 * [taylor]: Taking taylor expansion of PI in n 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [backup-simplify]: Simplify (* 0 PI) into 0 2.728 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.730 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.730 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.730 * [backup-simplify]: Simplify (- k) into (- k) 2.730 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.730 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.731 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.732 * [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)))) 2.733 * [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))))) 2.733 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.733 * [taylor]: Taking taylor expansion of 1.0 in k 2.733 * [backup-simplify]: Simplify 1.0 into 1.0 2.733 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.733 * [taylor]: Taking taylor expansion of k in k 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [backup-simplify]: Simplify (sqrt 0) into 0 2.734 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.734 * [taylor]: Taking taylor expansion of 0.5 in k 2.734 * [backup-simplify]: Simplify 0.5 into 0.5 2.734 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.734 * [taylor]: Taking taylor expansion of 1.0 in k 2.734 * [backup-simplify]: Simplify 1.0 into 1.0 2.734 * [taylor]: Taking taylor expansion of k in k 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.734 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.734 * [taylor]: Taking taylor expansion of 2.0 in k 2.734 * [backup-simplify]: Simplify 2.0 into 2.0 2.734 * [taylor]: Taking taylor expansion of (* n PI) in k 2.734 * [taylor]: Taking taylor expansion of n in k 2.734 * [backup-simplify]: Simplify n into n 2.734 * [taylor]: Taking taylor expansion of PI in k 2.734 * [backup-simplify]: Simplify PI into PI 2.734 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.734 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.735 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.735 * [backup-simplify]: Simplify (- 0) into 0 2.735 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.735 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.735 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.735 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.735 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.735 * [taylor]: Taking taylor expansion of 1.0 in k 2.735 * [backup-simplify]: Simplify 1.0 into 1.0 2.735 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.736 * [taylor]: Taking taylor expansion of k in k 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [backup-simplify]: Simplify (sqrt 0) into 0 2.737 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.737 * [taylor]: Taking taylor expansion of 0.5 in k 2.737 * [backup-simplify]: Simplify 0.5 into 0.5 2.737 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.737 * [taylor]: Taking taylor expansion of 1.0 in k 2.737 * [backup-simplify]: Simplify 1.0 into 1.0 2.737 * [taylor]: Taking taylor expansion of k in k 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.737 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.737 * [taylor]: Taking taylor expansion of 2.0 in k 2.737 * [backup-simplify]: Simplify 2.0 into 2.0 2.737 * [taylor]: Taking taylor expansion of (* n PI) in k 2.737 * [taylor]: Taking taylor expansion of n in k 2.737 * [backup-simplify]: Simplify n into n 2.737 * [taylor]: Taking taylor expansion of PI in k 2.737 * [backup-simplify]: Simplify PI into PI 2.737 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.737 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.737 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.737 * [backup-simplify]: Simplify (- 0) into 0 2.738 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.738 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.738 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.738 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.738 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.738 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.739 * [taylor]: Taking taylor expansion of 0 in n 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.740 * [backup-simplify]: Simplify (- 1) into -1 2.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.741 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.741 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.742 * [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))) 2.743 * [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))) 2.744 * [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))) 2.744 * [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 2.744 * [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 2.744 * [taylor]: Taking taylor expansion of +nan.0 in n 2.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.744 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.744 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.744 * [taylor]: Taking taylor expansion of 0.5 in n 2.744 * [backup-simplify]: Simplify 0.5 into 0.5 2.744 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.744 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.744 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.744 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.744 * [taylor]: Taking taylor expansion of 1.0 in n 2.744 * [backup-simplify]: Simplify 1.0 into 1.0 2.744 * [taylor]: Taking taylor expansion of (log PI) in n 2.744 * [taylor]: Taking taylor expansion of PI in n 2.744 * [backup-simplify]: Simplify PI into PI 2.744 * [backup-simplify]: Simplify (log PI) into (log PI) 2.745 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.746 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.746 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.746 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.746 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.746 * [taylor]: Taking taylor expansion of 1.0 in n 2.746 * [backup-simplify]: Simplify 1.0 into 1.0 2.746 * [taylor]: Taking taylor expansion of (log n) in n 2.746 * [taylor]: Taking taylor expansion of n in n 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (log 1) into 0 2.747 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.747 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.747 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.747 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.747 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.747 * [taylor]: Taking taylor expansion of 1.0 in n 2.747 * [backup-simplify]: Simplify 1.0 into 1.0 2.747 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.747 * [taylor]: Taking taylor expansion of 2.0 in n 2.747 * [backup-simplify]: Simplify 2.0 into 2.0 2.747 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.748 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.748 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.749 * [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) 2.749 * [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) 2.750 * [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)) 2.751 * [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))) 2.752 * [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) 2.753 * [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)) 2.754 * [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))) 2.755 * [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))) 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.757 * [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 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.759 * [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))) 2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.763 * [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)))))))) 2.766 * [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)))))))) 2.766 * [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 2.766 * [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 2.766 * [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 2.766 * [taylor]: Taking taylor expansion of +nan.0 in n 2.766 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.766 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.766 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.766 * [taylor]: Taking taylor expansion of 0.5 in n 2.766 * [backup-simplify]: Simplify 0.5 into 0.5 2.766 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.766 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.766 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.766 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.766 * [taylor]: Taking taylor expansion of 1.0 in n 2.766 * [backup-simplify]: Simplify 1.0 into 1.0 2.766 * [taylor]: Taking taylor expansion of (log PI) in n 2.766 * [taylor]: Taking taylor expansion of PI in n 2.766 * [backup-simplify]: Simplify PI into PI 2.767 * [backup-simplify]: Simplify (log PI) into (log PI) 2.767 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.768 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.768 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.768 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.768 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) 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 (log n) 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 * [backup-simplify]: Simplify (log 1) into 0 2.769 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.769 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.769 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.769 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.769 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.769 * [taylor]: Taking taylor expansion of 1.0 in n 2.769 * [backup-simplify]: Simplify 1.0 into 1.0 2.769 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.769 * [taylor]: Taking taylor expansion of 2.0 in n 2.769 * [backup-simplify]: Simplify 2.0 into 2.0 2.769 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.770 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.770 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.771 * [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) 2.772 * [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) 2.772 * [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)) 2.773 * [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))) 2.774 * [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) 2.774 * [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 2.774 * [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 2.774 * [taylor]: Taking taylor expansion of +nan.0 in n 2.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.774 * [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 2.774 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.774 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.774 * [taylor]: Taking taylor expansion of 0.5 in n 2.774 * [backup-simplify]: Simplify 0.5 into 0.5 2.774 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.774 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.774 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.774 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.774 * [taylor]: Taking taylor expansion of 1.0 in n 2.774 * [backup-simplify]: Simplify 1.0 into 1.0 2.774 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.774 * [taylor]: Taking taylor expansion of 2.0 in n 2.774 * [backup-simplify]: Simplify 2.0 into 2.0 2.775 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.775 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.776 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.776 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.776 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.776 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.776 * [taylor]: Taking taylor expansion of 1.0 in n 2.776 * [backup-simplify]: Simplify 1.0 into 1.0 2.776 * [taylor]: Taking taylor expansion of (log PI) in n 2.776 * [taylor]: Taking taylor expansion of PI in n 2.776 * [backup-simplify]: Simplify PI into PI 2.776 * [backup-simplify]: Simplify (log PI) into (log PI) 2.777 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.778 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.778 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.778 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.778 * [taylor]: Taking taylor expansion of 1.0 in n 2.778 * [backup-simplify]: Simplify 1.0 into 1.0 2.778 * [taylor]: Taking taylor expansion of (log n) in n 2.778 * [taylor]: Taking taylor expansion of n in n 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (log 1) into 0 2.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.778 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.778 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.779 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.780 * [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) 2.780 * [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)) 2.781 * [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))) 2.782 * [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) 2.782 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.782 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.782 * [taylor]: Taking taylor expansion of 2.0 in n 2.782 * [backup-simplify]: Simplify 2.0 into 2.0 2.782 * [taylor]: Taking taylor expansion of (* n PI) in n 2.782 * [taylor]: Taking taylor expansion of n in n 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [taylor]: Taking taylor expansion of PI in n 2.782 * [backup-simplify]: Simplify PI into PI 2.782 * [backup-simplify]: Simplify (* 0 PI) into 0 2.783 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.783 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.784 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.785 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.786 * [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)) 2.787 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.788 * [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)) 2.789 * [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))) 2.791 * [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)))))) 2.794 * [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)))))))) 2.798 * [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)))))))) 2.801 * [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)))))))) 2.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.802 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.803 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.804 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.805 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.805 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.805 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.807 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.813 * [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 2.814 * [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 2.815 * [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 2.816 * [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 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.819 * [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 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.822 * [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))) 2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.828 * [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)))))))) 2.834 * [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)))))))) 2.834 * [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 2.834 * [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 2.835 * [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 2.835 * [taylor]: Taking taylor expansion of +nan.0 in n 2.835 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.835 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.835 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.835 * [taylor]: Taking taylor expansion of 0.5 in n 2.835 * [backup-simplify]: Simplify 0.5 into 0.5 2.835 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.835 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.835 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.835 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.835 * [taylor]: Taking taylor expansion of 1.0 in n 2.835 * [backup-simplify]: Simplify 1.0 into 1.0 2.835 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.835 * [taylor]: Taking taylor expansion of 2.0 in n 2.835 * [backup-simplify]: Simplify 2.0 into 2.0 2.835 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.836 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.837 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.837 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.837 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.837 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.837 * [taylor]: Taking taylor expansion of 1.0 in n 2.837 * [backup-simplify]: Simplify 1.0 into 1.0 2.837 * [taylor]: Taking taylor expansion of (log n) in n 2.837 * [taylor]: Taking taylor expansion of n in n 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (log 1) into 0 2.837 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.837 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.837 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.837 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.837 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.837 * [taylor]: Taking taylor expansion of 1.0 in n 2.837 * [backup-simplify]: Simplify 1.0 into 1.0 2.837 * [taylor]: Taking taylor expansion of (log PI) in n 2.837 * [taylor]: Taking taylor expansion of PI in n 2.837 * [backup-simplify]: Simplify PI into PI 2.838 * [backup-simplify]: Simplify (log PI) into (log PI) 2.838 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.839 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.840 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.840 * [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) 2.841 * [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)) 2.842 * [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))) 2.843 * [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) 2.843 * [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 2.843 * [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 2.843 * [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 2.843 * [taylor]: Taking taylor expansion of +nan.0 in n 2.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.843 * [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 2.843 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.843 * [taylor]: Taking taylor expansion of 0.5 in n 2.843 * [backup-simplify]: Simplify 0.5 into 0.5 2.843 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.843 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.843 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.843 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.843 * [taylor]: Taking taylor expansion of 1.0 in n 2.843 * [backup-simplify]: Simplify 1.0 into 1.0 2.843 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.843 * [taylor]: Taking taylor expansion of 2.0 in n 2.843 * [backup-simplify]: Simplify 2.0 into 2.0 2.843 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.844 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.845 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.845 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.845 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.845 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.845 * [taylor]: Taking taylor expansion of 1.0 in n 2.845 * [backup-simplify]: Simplify 1.0 into 1.0 2.845 * [taylor]: Taking taylor expansion of (log PI) in n 2.845 * [taylor]: Taking taylor expansion of PI in n 2.845 * [backup-simplify]: Simplify PI into PI 2.845 * [backup-simplify]: Simplify (log PI) into (log PI) 2.846 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.846 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.847 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.847 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.847 * [taylor]: Taking taylor expansion of 1.0 in n 2.847 * [backup-simplify]: Simplify 1.0 into 1.0 2.847 * [taylor]: Taking taylor expansion of (log n) in n 2.847 * [taylor]: Taking taylor expansion of n in n 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (log 1) into 0 2.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.847 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.847 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.848 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.848 * [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) 2.849 * [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)) 2.850 * [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))) 2.851 * [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) 2.851 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.851 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.851 * [taylor]: Taking taylor expansion of 2.0 in n 2.851 * [backup-simplify]: Simplify 2.0 into 2.0 2.851 * [taylor]: Taking taylor expansion of (* n PI) in n 2.851 * [taylor]: Taking taylor expansion of n in n 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [taylor]: Taking taylor expansion of PI in n 2.851 * [backup-simplify]: Simplify PI into PI 2.851 * [backup-simplify]: Simplify (* 0 PI) into 0 2.851 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.852 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.853 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.854 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.854 * [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 2.854 * [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 2.854 * [taylor]: Taking taylor expansion of +nan.0 in n 2.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.854 * [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 2.854 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.854 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.854 * [taylor]: Taking taylor expansion of 0.5 in n 2.854 * [backup-simplify]: Simplify 0.5 into 0.5 2.854 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.854 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.854 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.854 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.854 * [taylor]: Taking taylor expansion of 1.0 in n 2.854 * [backup-simplify]: Simplify 1.0 into 1.0 2.854 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.854 * [taylor]: Taking taylor expansion of 2.0 in n 2.854 * [backup-simplify]: Simplify 2.0 into 2.0 2.855 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.855 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.856 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.856 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.856 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.856 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.856 * [taylor]: Taking taylor expansion of 1.0 in n 2.856 * [backup-simplify]: Simplify 1.0 into 1.0 2.856 * [taylor]: Taking taylor expansion of (log PI) in n 2.856 * [taylor]: Taking taylor expansion of PI in n 2.856 * [backup-simplify]: Simplify PI into PI 2.856 * [backup-simplify]: Simplify (log PI) into (log PI) 2.857 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.858 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.858 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.858 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.858 * [taylor]: Taking taylor expansion of 1.0 in n 2.858 * [backup-simplify]: Simplify 1.0 into 1.0 2.858 * [taylor]: Taking taylor expansion of (log n) in n 2.858 * [taylor]: Taking taylor expansion of n in n 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (log 1) into 0 2.858 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.858 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.859 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.859 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.860 * [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) 2.860 * [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)) 2.861 * [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))) 2.862 * [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) 2.862 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.862 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.862 * [taylor]: Taking taylor expansion of 2.0 in n 2.862 * [backup-simplify]: Simplify 2.0 into 2.0 2.862 * [taylor]: Taking taylor expansion of (* n PI) in n 2.862 * [taylor]: Taking taylor expansion of n in n 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [taylor]: Taking taylor expansion of PI in n 2.862 * [backup-simplify]: Simplify PI into PI 2.863 * [backup-simplify]: Simplify (* 0 PI) into 0 2.863 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.864 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.865 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.866 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.867 * [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)) 2.868 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.869 * [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)) 2.870 * [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))) 2.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.872 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.873 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.875 * [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)) 2.876 * [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))) 2.878 * [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)))))))) 2.884 * [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)))))))))))) 2.892 * [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)))))))))))) 2.901 * [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)))))))))))))) 2.914 * [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)))))))))))))) 2.923 * [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)))))))))))))) 2.938 * [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)))))))))))))))))))))) 2.938 * [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)))))) 2.938 * [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 2.938 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.938 * [taylor]: Taking taylor expansion of 1.0 in n 2.938 * [backup-simplify]: Simplify 1.0 into 1.0 2.938 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.939 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.939 * [taylor]: Taking taylor expansion of k in n 2.939 * [backup-simplify]: Simplify k into k 2.939 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.939 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.939 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.939 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.939 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.939 * [taylor]: Taking taylor expansion of 0.5 in n 2.939 * [backup-simplify]: Simplify 0.5 into 0.5 2.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.939 * [taylor]: Taking taylor expansion of 1.0 in n 2.939 * [backup-simplify]: Simplify 1.0 into 1.0 2.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.939 * [taylor]: Taking taylor expansion of k in n 2.939 * [backup-simplify]: Simplify k into k 2.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.939 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.939 * [taylor]: Taking taylor expansion of 2.0 in n 2.939 * [backup-simplify]: Simplify 2.0 into 2.0 2.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.939 * [taylor]: Taking taylor expansion of PI in n 2.939 * [backup-simplify]: Simplify PI into PI 2.939 * [taylor]: Taking taylor expansion of n in n 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ PI 1) into PI 2.940 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.940 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.940 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.940 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.940 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.942 * [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)))) 2.943 * [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))))) 2.943 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.943 * [taylor]: Taking taylor expansion of 1.0 in k 2.943 * [backup-simplify]: Simplify 1.0 into 1.0 2.943 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.943 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.943 * [taylor]: Taking taylor expansion of k in k 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (sqrt 0) into 0 2.944 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.944 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.944 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.944 * [taylor]: Taking taylor expansion of 0.5 in k 2.944 * [backup-simplify]: Simplify 0.5 into 0.5 2.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.944 * [taylor]: Taking taylor expansion of 1.0 in k 2.944 * [backup-simplify]: Simplify 1.0 into 1.0 2.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.944 * [taylor]: Taking taylor expansion of k in k 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.944 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.944 * [taylor]: Taking taylor expansion of 2.0 in k 2.944 * [backup-simplify]: Simplify 2.0 into 2.0 2.944 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.944 * [taylor]: Taking taylor expansion of PI in k 2.944 * [backup-simplify]: Simplify PI into PI 2.944 * [taylor]: Taking taylor expansion of n in k 2.944 * [backup-simplify]: Simplify n into n 2.944 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.944 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.945 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.945 * [backup-simplify]: Simplify (- 1) into -1 2.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.945 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.945 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.945 * [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))))) 2.946 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.946 * [taylor]: Taking taylor expansion of 1.0 in k 2.946 * [backup-simplify]: Simplify 1.0 into 1.0 2.946 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.946 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.946 * [taylor]: Taking taylor expansion of k in k 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (sqrt 0) into 0 2.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.947 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.947 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.947 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.947 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.947 * [taylor]: Taking taylor expansion of 0.5 in k 2.947 * [backup-simplify]: Simplify 0.5 into 0.5 2.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.947 * [taylor]: Taking taylor expansion of 1.0 in k 2.947 * [backup-simplify]: Simplify 1.0 into 1.0 2.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.947 * [taylor]: Taking taylor expansion of k in k 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.947 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.947 * [taylor]: Taking taylor expansion of 2.0 in k 2.947 * [backup-simplify]: Simplify 2.0 into 2.0 2.947 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.947 * [taylor]: Taking taylor expansion of PI in k 2.947 * [backup-simplify]: Simplify PI into PI 2.947 * [taylor]: Taking taylor expansion of n in k 2.947 * [backup-simplify]: Simplify n into n 2.947 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.947 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.947 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.948 * [backup-simplify]: Simplify (- 1) into -1 2.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.948 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.948 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.948 * [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))))) 2.948 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.949 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.949 * [taylor]: Taking taylor expansion of 0 in n 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [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))))))) 2.950 * [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))))))) 2.950 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.950 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.950 * [taylor]: Taking taylor expansion of +nan.0 in n 2.950 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.950 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.950 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.950 * [taylor]: Taking taylor expansion of 0.5 in n 2.950 * [backup-simplify]: Simplify 0.5 into 0.5 2.950 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.950 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.950 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.950 * [taylor]: Taking taylor expansion of 2.0 in n 2.950 * [backup-simplify]: Simplify 2.0 into 2.0 2.950 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.950 * [taylor]: Taking taylor expansion of PI in n 2.950 * [backup-simplify]: Simplify PI into PI 2.950 * [taylor]: Taking taylor expansion of n in n 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (/ PI 1) into PI 2.950 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.951 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.951 * [taylor]: Taking taylor expansion of 1.0 in n 2.951 * [backup-simplify]: Simplify 1.0 into 1.0 2.951 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.951 * [taylor]: Taking taylor expansion of k in n 2.951 * [backup-simplify]: Simplify k into k 2.951 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.952 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.952 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.952 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.953 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.953 * [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)))) 2.954 * [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))))) 2.955 * [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)))))) 2.956 * [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))))))) 2.956 * [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))))))) 2.956 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.959 * [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))))))) 2.959 * [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))))))) 2.959 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.959 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.959 * [taylor]: Taking taylor expansion of +nan.0 in n 2.959 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.959 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.959 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.959 * [taylor]: Taking taylor expansion of 0.5 in n 2.959 * [backup-simplify]: Simplify 0.5 into 0.5 2.959 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.959 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.960 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.960 * [taylor]: Taking taylor expansion of 2.0 in n 2.960 * [backup-simplify]: Simplify 2.0 into 2.0 2.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.960 * [taylor]: Taking taylor expansion of PI in n 2.960 * [backup-simplify]: Simplify PI into PI 2.960 * [taylor]: Taking taylor expansion of n in n 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (/ PI 1) into PI 2.960 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.961 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.961 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.961 * [taylor]: Taking taylor expansion of 1.0 in n 2.961 * [backup-simplify]: Simplify 1.0 into 1.0 2.961 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.961 * [taylor]: Taking taylor expansion of k in n 2.961 * [backup-simplify]: Simplify k into k 2.961 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.962 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.962 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.963 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.963 * [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)))) 2.964 * [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))))) 2.965 * [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)))))) 2.966 * [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))))))) 2.966 * [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))))))) 2.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.970 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 2.972 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.974 * [backup-simplify]: Simplify (- 0) into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.977 * [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))))))) 2.977 * [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))))))) 2.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.977 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.977 * [taylor]: Taking taylor expansion of +nan.0 in n 2.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.978 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.978 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.978 * [taylor]: Taking taylor expansion of 0.5 in n 2.978 * [backup-simplify]: Simplify 0.5 into 0.5 2.978 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.978 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.978 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.978 * [taylor]: Taking taylor expansion of 2.0 in n 2.978 * [backup-simplify]: Simplify 2.0 into 2.0 2.978 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.978 * [taylor]: Taking taylor expansion of PI in n 2.978 * [backup-simplify]: Simplify PI into PI 2.978 * [taylor]: Taking taylor expansion of n in n 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ PI 1) into PI 2.978 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.979 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.979 * [taylor]: Taking taylor expansion of 1.0 in n 2.979 * [backup-simplify]: Simplify 1.0 into 1.0 2.979 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.979 * [taylor]: Taking taylor expansion of k in n 2.979 * [backup-simplify]: Simplify k into k 2.979 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.980 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.980 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.981 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.981 * [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)))) 2.982 * [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))))) 2.983 * [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)))))) 2.983 * [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))))))) 2.984 * [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))))))) 2.987 * [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)))))))) 2.987 * [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)))) 2.987 * [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 2.988 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.988 * [taylor]: Taking taylor expansion of 1.0 in n 2.988 * [backup-simplify]: Simplify 1.0 into 1.0 2.988 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.988 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.988 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.988 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.988 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.988 * [taylor]: Taking taylor expansion of 0.5 in n 2.988 * [backup-simplify]: Simplify 0.5 into 0.5 2.988 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.988 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.988 * [taylor]: Taking taylor expansion of k in n 2.988 * [backup-simplify]: Simplify k into k 2.988 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.988 * [taylor]: Taking taylor expansion of 1.0 in n 2.988 * [backup-simplify]: Simplify 1.0 into 1.0 2.988 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.988 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.988 * [taylor]: Taking taylor expansion of -2.0 in n 2.988 * [backup-simplify]: Simplify -2.0 into -2.0 2.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.988 * [taylor]: Taking taylor expansion of PI in n 2.988 * [backup-simplify]: Simplify PI into PI 2.988 * [taylor]: Taking taylor expansion of n in n 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (/ PI 1) into PI 2.989 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.989 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.989 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.989 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.990 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.991 * [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)))) 2.992 * [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))))) 2.992 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.992 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.992 * [taylor]: Taking taylor expansion of -1 in n 2.992 * [backup-simplify]: Simplify -1 into -1 2.992 * [taylor]: Taking taylor expansion of k in n 2.992 * [backup-simplify]: Simplify k into k 2.992 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.992 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.992 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.993 * [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))) 2.993 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.993 * [taylor]: Taking taylor expansion of 1.0 in k 2.993 * [backup-simplify]: Simplify 1.0 into 1.0 2.993 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.993 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.993 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.993 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.993 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.993 * [taylor]: Taking taylor expansion of 0.5 in k 2.993 * [backup-simplify]: Simplify 0.5 into 0.5 2.993 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.993 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.993 * [taylor]: Taking taylor expansion of k in k 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.993 * [taylor]: Taking taylor expansion of 1.0 in k 2.993 * [backup-simplify]: Simplify 1.0 into 1.0 2.993 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.993 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.993 * [taylor]: Taking taylor expansion of -2.0 in k 2.993 * [backup-simplify]: Simplify -2.0 into -2.0 2.993 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.994 * [taylor]: Taking taylor expansion of PI in k 2.994 * [backup-simplify]: Simplify PI into PI 2.994 * [taylor]: Taking taylor expansion of n in k 2.994 * [backup-simplify]: Simplify n into n 2.994 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.994 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.994 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.994 * [backup-simplify]: Simplify (+ 1 0) into 1 2.994 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.994 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.997 * [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)))))) 2.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.997 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.997 * [taylor]: Taking taylor expansion of -1 in k 2.997 * [backup-simplify]: Simplify -1 into -1 2.997 * [taylor]: Taking taylor expansion of k in k 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (/ -1 1) into -1 2.998 * [backup-simplify]: Simplify (sqrt 0) into 0 2.999 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.999 * [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))))))) 2.999 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.999 * [taylor]: Taking taylor expansion of 1.0 in k 2.999 * [backup-simplify]: Simplify 1.0 into 1.0 2.999 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.999 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.999 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.999 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.999 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.999 * [taylor]: Taking taylor expansion of 0.5 in k 2.999 * [backup-simplify]: Simplify 0.5 into 0.5 2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.999 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.999 * [taylor]: Taking taylor expansion of k in k 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (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 0) into 1 3.000 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.000 * [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 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 3.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.001 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.001 * [taylor]: Taking taylor expansion of -1 in k 3.001 * [backup-simplify]: Simplify -1 into -1 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 (/ -1 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 * [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))))))) 3.002 * [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))))))) 3.002 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.002 * [taylor]: Taking taylor expansion of +nan.0 in n 3.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.002 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.002 * [taylor]: Taking taylor expansion of 0.5 in n 3.002 * [backup-simplify]: Simplify 0.5 into 0.5 3.002 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.002 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.002 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.003 * [taylor]: Taking taylor expansion of k in n 3.003 * [backup-simplify]: Simplify k into k 3.003 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.003 * [taylor]: Taking taylor expansion of 1.0 in n 3.003 * [backup-simplify]: Simplify 1.0 into 1.0 3.003 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.003 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.003 * [taylor]: Taking taylor expansion of -2.0 in n 3.003 * [backup-simplify]: Simplify -2.0 into -2.0 3.003 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.003 * [taylor]: Taking taylor expansion of PI in n 3.003 * [backup-simplify]: Simplify PI into PI 3.003 * [taylor]: Taking taylor expansion of n in n 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (/ PI 1) into PI 3.003 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.004 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.004 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.005 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.006 * [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)))) 3.007 * [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))))) 3.008 * [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)))))) 3.008 * [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)))))) 3.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.010 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.011 * [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)))))))) 3.011 * [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)))))))) 3.011 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.011 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.011 * [taylor]: Taking taylor expansion of +nan.0 in n 3.011 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.011 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.012 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.012 * [taylor]: Taking taylor expansion of 0.5 in n 3.012 * [backup-simplify]: Simplify 0.5 into 0.5 3.012 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.012 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.012 * [taylor]: Taking taylor expansion of k in n 3.012 * [backup-simplify]: Simplify k into k 3.012 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.012 * [taylor]: Taking taylor expansion of 1.0 in n 3.012 * [backup-simplify]: Simplify 1.0 into 1.0 3.012 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.012 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.012 * [taylor]: Taking taylor expansion of -2.0 in n 3.012 * [backup-simplify]: Simplify -2.0 into -2.0 3.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.012 * [taylor]: Taking taylor expansion of PI in n 3.012 * [backup-simplify]: Simplify PI into PI 3.012 * [taylor]: Taking taylor expansion of n in n 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [backup-simplify]: Simplify (/ PI 1) into PI 3.012 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.013 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.013 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.015 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.016 * [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)))) 3.016 * [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))))) 3.017 * [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)))))) 3.018 * [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))))))) 3.019 * [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))))))) 3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.022 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.024 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.025 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.029 * [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)))))))) 3.029 * [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)))))))) 3.029 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.029 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.029 * [taylor]: Taking taylor expansion of +nan.0 in n 3.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.030 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.030 * [taylor]: Taking taylor expansion of 0.5 in n 3.030 * [backup-simplify]: Simplify 0.5 into 0.5 3.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.030 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.030 * [taylor]: Taking taylor expansion of k in n 3.030 * [backup-simplify]: Simplify k into k 3.030 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.030 * [taylor]: Taking taylor expansion of 1.0 in n 3.030 * [backup-simplify]: Simplify 1.0 into 1.0 3.030 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.030 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.030 * [taylor]: Taking taylor expansion of -2.0 in n 3.030 * [backup-simplify]: Simplify -2.0 into -2.0 3.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.030 * [taylor]: Taking taylor expansion of PI in n 3.030 * [backup-simplify]: Simplify PI into PI 3.030 * [taylor]: Taking taylor expansion of n in n 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (/ PI 1) into PI 3.030 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.031 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.031 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.032 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.033 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.033 * [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)))) 3.034 * [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))))) 3.035 * [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)))))) 3.036 * [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))))))) 3.036 * [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))))))) 3.039 * [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)))))))))))) 3.039 * * * [progress]: simplifying candidates 3.042 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 3.046 * * [simplify]: Extracting # 0 : cost 0 3.046 * * [simplify]: Extracting # 1 : cost 0 3.047 * * [simplify]: Extracting # 2 : cost 0 3.047 * * [simplify]: Extracting # 3 : cost 0 3.048 * * [simplify]: Extracting # 4 : cost 0 3.048 * * [simplify]: Extracting # 5 : cost 0 3.048 * * [simplify]: Extracting # 6 : cost 0 3.049 * * [simplify]: Extracting # 7 : cost 0 3.049 * * [simplify]: Extracting # 8 : cost 0 3.050 * * [simplify]: Extracting # 9 : cost 0 3.050 * * [simplify]: Extracting # 10 : cost 0 3.051 * * [simplify]: Extracting # 11 : cost 0 3.051 * * [simplify]: Extracting # 12 : cost 0 3.052 * * [simplify]: Extracting # 13 : cost 0 3.053 * * [simplify]: Extracting # 14 : cost 0 3.053 * * [simplify]: Extracting # 15 : cost 0 3.054 * * [simplify]: Extracting # 16 : cost 0 3.054 * * [simplify]: Extracting # 17 : cost 0 3.055 * * [simplify]: Extracting # 18 : cost 0 3.055 * * [simplify]: Extracting # 19 : cost 0 3.056 * * [simplify]: Extracting # 20 : cost 0 3.057 * * [simplify]: Extracting # 21 : cost 0 3.057 * * [simplify]: Extracting # 22 : cost 0 3.058 * * [simplify]: Extracting # 23 : cost 0 3.058 * * [simplify]: Extracting # 24 : cost 0 3.059 * * [simplify]: Extracting # 25 : cost 0 3.059 * * [simplify]: Extracting # 26 : cost 0 3.060 * * [simplify]: Extracting # 27 : cost 0 3.060 * * [simplify]: Extracting # 28 : cost 0 3.061 * * [simplify]: Extracting # 29 : cost 0 3.061 * * [simplify]: Extracting # 30 : cost 0 3.062 * * [simplify]: Extracting # 31 : cost 0 3.062 * * [simplify]: Extracting # 32 : cost 0 3.063 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 3.163 * * [simplify]: Extracting # 0 : cost 0 3.164 * * [simplify]: Extracting # 1 : cost 0 3.166 * * [simplify]: Extracting # 2 : cost 0 3.167 * * [simplify]: Extracting # 3 : cost 0 3.168 * * [simplify]: Extracting # 4 : cost 0 3.170 * * [simplify]: Extracting # 5 : cost 0 3.171 * * [simplify]: Extracting # 6 : cost 0 3.173 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 3.576 * * [simplify]: Extracting # 0 : cost 0 3.580 * * [simplify]: Extracting # 1 : cost 0 3.584 * * [simplify]: Extracting # 2 : cost 0 3.588 * * [simplify]: Extracting # 3 : cost 0 3.593 * * [simplify]: Extracting # 4 : cost 0 3.597 * * [simplify]: Extracting # 5 : cost 0 3.601 * * [simplify]: iteration 2 : 3131 enodes (cost 2550 ) 4.479 * * [simplify]: Extracting # 0 : cost 0 4.486 * * [simplify]: Extracting # 1 : cost 0 4.493 * * [simplify]: Extracting # 2 : cost 0 4.499 * * [simplify]: Extracting # 3 : cost 0 4.506 * * [simplify]: Extracting # 4 : cost 0 4.512 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 4.514 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* n (* 2.0 PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) (- (- (fma k +nan.0 +nan.0) (* (* +nan.0 k) k))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (fma (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (* (pow k 2) (log (* 2.0 PI))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma +nan.0 (- (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* (* +nan.0 (* k (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))) (- (/ +nan.0 (/ (pow k 3) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 4.520 * * * [progress]: adding candidates to table 4.948 * * [progress]: iteration 2 / 4 4.948 * * * [progress]: picking best candidate 4.969 * * * * [pick]: Picked # 4.969 * * * [progress]: localizing error 4.990 * * * [progress]: generating rewritten candidates 4.990 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.998 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.009 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.015 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.048 * * * [progress]: generating series expansions 5.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.048 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 5.048 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 5.048 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.048 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.048 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.048 * [taylor]: Taking taylor expansion of 0.5 in k 5.048 * [backup-simplify]: Simplify 0.5 into 0.5 5.048 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.048 * [taylor]: Taking taylor expansion of 1.0 in k 5.048 * [backup-simplify]: Simplify 1.0 into 1.0 5.048 * [taylor]: Taking taylor expansion of k in k 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of (log n) in k 5.048 * [taylor]: Taking taylor expansion of n in k 5.048 * [backup-simplify]: Simplify n into n 5.048 * [backup-simplify]: Simplify (log n) into (log n) 5.049 * [backup-simplify]: Simplify (- 0) into 0 5.049 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.049 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.050 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 5.050 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.050 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.050 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.050 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.050 * [taylor]: Taking taylor expansion of 0.5 in n 5.050 * [backup-simplify]: Simplify 0.5 into 0.5 5.050 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.050 * [taylor]: Taking taylor expansion of 1.0 in n 5.050 * [backup-simplify]: Simplify 1.0 into 1.0 5.050 * [taylor]: Taking taylor expansion of k in n 5.050 * [backup-simplify]: Simplify k into k 5.050 * [taylor]: Taking taylor expansion of (log n) in n 5.050 * [taylor]: Taking taylor expansion of n in n 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.050 * [backup-simplify]: Simplify (log 1) into 0 5.050 * [backup-simplify]: Simplify (- k) into (- k) 5.050 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.050 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.051 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.051 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.051 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.051 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.051 * [taylor]: Taking taylor expansion of 0.5 in n 5.051 * [backup-simplify]: Simplify 0.5 into 0.5 5.051 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.051 * [taylor]: Taking taylor expansion of 1.0 in n 5.051 * [backup-simplify]: Simplify 1.0 into 1.0 5.051 * [taylor]: Taking taylor expansion of k in n 5.051 * [backup-simplify]: Simplify k into k 5.051 * [taylor]: Taking taylor expansion of (log n) in n 5.051 * [taylor]: Taking taylor expansion of n in n 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.051 * [backup-simplify]: Simplify (log 1) into 0 5.051 * [backup-simplify]: Simplify (- k) into (- k) 5.051 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.051 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.051 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.052 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.052 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.052 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 5.052 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 5.052 * [taylor]: Taking taylor expansion of 0.5 in k 5.052 * [backup-simplify]: Simplify 0.5 into 0.5 5.052 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 5.052 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.052 * [taylor]: Taking taylor expansion of 1.0 in k 5.052 * [backup-simplify]: Simplify 1.0 into 1.0 5.052 * [taylor]: Taking taylor expansion of k in k 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [taylor]: Taking taylor expansion of (log n) in k 5.052 * [taylor]: Taking taylor expansion of n in k 5.052 * [backup-simplify]: Simplify n into n 5.052 * [backup-simplify]: Simplify (log n) into (log n) 5.052 * [backup-simplify]: Simplify (- 0) into 0 5.052 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.052 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.053 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 5.053 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.053 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 5.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.054 * [backup-simplify]: Simplify (- 0) into 0 5.054 * [backup-simplify]: Simplify (+ 0 0) into 0 5.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 5.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.055 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 5.055 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.055 * [taylor]: Taking taylor expansion of 0 in k 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.056 * [backup-simplify]: Simplify (- 1) into -1 5.056 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.057 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 5.057 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 5.057 * [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))) 5.057 * [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))) 5.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.059 * [backup-simplify]: Simplify (- 0) into 0 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 5.060 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.060 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 5.061 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.061 * [taylor]: Taking taylor expansion of 0 in k 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.062 * [backup-simplify]: Simplify (- 0) into 0 5.062 * [backup-simplify]: Simplify (+ 0 0) into 0 5.063 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 5.063 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 5.064 * [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))) 5.064 * [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))) 5.065 * [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)))) 5.065 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 5.065 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.065 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.065 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.065 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.065 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.065 * [taylor]: Taking taylor expansion of 0.5 in k 5.065 * [backup-simplify]: Simplify 0.5 into 0.5 5.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.065 * [taylor]: Taking taylor expansion of 1.0 in k 5.065 * [backup-simplify]: Simplify 1.0 into 1.0 5.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.065 * [taylor]: Taking taylor expansion of k in k 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (/ 1 1) into 1 5.065 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.065 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.066 * [taylor]: Taking taylor expansion of n in k 5.066 * [backup-simplify]: Simplify n into n 5.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.066 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.066 * [backup-simplify]: Simplify (- 1) into -1 5.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.066 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.066 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.067 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.067 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.067 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.067 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.067 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.067 * [taylor]: Taking taylor expansion of 0.5 in n 5.067 * [backup-simplify]: Simplify 0.5 into 0.5 5.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.067 * [taylor]: Taking taylor expansion of 1.0 in n 5.067 * [backup-simplify]: Simplify 1.0 into 1.0 5.067 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.067 * [taylor]: Taking taylor expansion of k in n 5.067 * [backup-simplify]: Simplify k into k 5.067 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.067 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.067 * [taylor]: Taking taylor expansion of n in n 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 1 into 1 5.067 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [backup-simplify]: Simplify (log 1) into 0 5.067 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.067 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.067 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.068 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.068 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.068 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.068 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.068 * [taylor]: Taking taylor expansion of 0.5 in n 5.068 * [backup-simplify]: Simplify 0.5 into 0.5 5.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.068 * [taylor]: Taking taylor expansion of 1.0 in n 5.068 * [backup-simplify]: Simplify 1.0 into 1.0 5.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.068 * [taylor]: Taking taylor expansion of k in n 5.068 * [backup-simplify]: Simplify k into k 5.068 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.068 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.068 * [taylor]: Taking taylor expansion of n in n 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.069 * [backup-simplify]: Simplify (log 1) into 0 5.069 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.069 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.069 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.069 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.069 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.069 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 5.069 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 5.070 * [taylor]: Taking taylor expansion of -0.5 in k 5.070 * [backup-simplify]: Simplify -0.5 into -0.5 5.070 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 5.070 * [taylor]: Taking taylor expansion of (log n) in k 5.070 * [taylor]: Taking taylor expansion of n in k 5.070 * [backup-simplify]: Simplify n into n 5.070 * [backup-simplify]: Simplify (log n) into (log n) 5.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.070 * [taylor]: Taking taylor expansion of 1.0 in k 5.070 * [backup-simplify]: Simplify 1.0 into 1.0 5.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.070 * [taylor]: Taking taylor expansion of k in k 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [backup-simplify]: Simplify (- 1) into -1 5.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.070 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 5.070 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 5.071 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.071 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.072 * [backup-simplify]: Simplify (- 0) into 0 5.072 * [backup-simplify]: Simplify (+ 0 0) into 0 5.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.073 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 5.074 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.074 * [taylor]: Taking taylor expansion of 0 in k 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.076 * [backup-simplify]: Simplify (- 0) into 0 5.076 * [backup-simplify]: Simplify (+ 0 0) into 0 5.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.077 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 5.078 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.078 * [taylor]: Taking taylor expansion of 0 in k 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.081 * [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 5.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.082 * [backup-simplify]: Simplify (- 0) into 0 5.082 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 5.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.083 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 5.084 * [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 5.084 * [taylor]: Taking taylor expansion of 0 in k 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 5.085 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 5.085 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.085 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.085 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.085 * [taylor]: Taking taylor expansion of 0.5 in k 5.085 * [backup-simplify]: Simplify 0.5 into 0.5 5.085 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.085 * [taylor]: Taking taylor expansion of k in k 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (/ 1 1) into 1 5.085 * [taylor]: Taking taylor expansion of 1.0 in k 5.085 * [backup-simplify]: Simplify 1.0 into 1.0 5.085 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.085 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.085 * [taylor]: Taking taylor expansion of -1 in k 5.085 * [backup-simplify]: Simplify -1 into -1 5.085 * [taylor]: Taking taylor expansion of n in k 5.085 * [backup-simplify]: Simplify n into n 5.085 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.085 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.086 * [backup-simplify]: Simplify (+ 1 0) into 1 5.086 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.086 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.086 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.086 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.086 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.086 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.086 * [taylor]: Taking taylor expansion of 0.5 in n 5.086 * [backup-simplify]: Simplify 0.5 into 0.5 5.086 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.086 * [taylor]: Taking taylor expansion of k in n 5.086 * [backup-simplify]: Simplify k into k 5.086 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.086 * [taylor]: Taking taylor expansion of 1.0 in n 5.086 * [backup-simplify]: Simplify 1.0 into 1.0 5.086 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.086 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.086 * [taylor]: Taking taylor expansion of -1 in n 5.086 * [backup-simplify]: Simplify -1 into -1 5.086 * [taylor]: Taking taylor expansion of n in n 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (/ -1 1) into -1 5.087 * [backup-simplify]: Simplify (log -1) into (log -1) 5.087 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.087 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.088 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.088 * [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)))) 5.088 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.088 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.088 * [taylor]: Taking taylor expansion of 0.5 in n 5.088 * [backup-simplify]: Simplify 0.5 into 0.5 5.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.088 * [taylor]: Taking taylor expansion of k in n 5.089 * [backup-simplify]: Simplify k into k 5.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.089 * [taylor]: Taking taylor expansion of 1.0 in n 5.089 * [backup-simplify]: Simplify 1.0 into 1.0 5.089 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.089 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.089 * [taylor]: Taking taylor expansion of -1 in n 5.089 * [backup-simplify]: Simplify -1 into -1 5.089 * [taylor]: Taking taylor expansion of n in n 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (/ -1 1) into -1 5.089 * [backup-simplify]: Simplify (log -1) into (log -1) 5.089 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.089 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.090 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.090 * [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)))) 5.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 5.091 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 5.091 * [taylor]: Taking taylor expansion of 0.5 in k 5.091 * [backup-simplify]: Simplify 0.5 into 0.5 5.091 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 5.091 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 5.091 * [taylor]: Taking taylor expansion of (log -1) in k 5.091 * [taylor]: Taking taylor expansion of -1 in k 5.091 * [backup-simplify]: Simplify -1 into -1 5.091 * [backup-simplify]: Simplify (log -1) into (log -1) 5.091 * [taylor]: Taking taylor expansion of (log n) in k 5.091 * [taylor]: Taking taylor expansion of n in k 5.091 * [backup-simplify]: Simplify n into n 5.091 * [backup-simplify]: Simplify (log n) into (log n) 5.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.091 * [taylor]: Taking taylor expansion of k in k 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (/ 1 1) into 1 5.091 * [taylor]: Taking taylor expansion of 1.0 in k 5.091 * [backup-simplify]: Simplify 1.0 into 1.0 5.091 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.092 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 5.092 * [backup-simplify]: Simplify (+ 1 0) into 1 5.092 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 5.092 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 5.093 * [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)))) 5.093 * [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)))) 5.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.096 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 5.097 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.097 * [taylor]: Taking taylor expansion of 0 in k 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.099 * [backup-simplify]: Simplify (+ 0 0) into 0 5.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.100 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.101 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 5.102 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.102 * [taylor]: Taking taylor expansion of 0 in k 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.105 * [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 5.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.106 * [backup-simplify]: Simplify (+ 0 0) into 0 5.106 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 5.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.107 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 5.109 * [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 5.109 * [taylor]: Taking taylor expansion of 0 in k 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [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)))))) 5.109 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.110 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 5.110 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 5.110 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.110 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.110 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.110 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.110 * [taylor]: Taking taylor expansion of 0.5 in k 5.110 * [backup-simplify]: Simplify 0.5 into 0.5 5.110 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.110 * [taylor]: Taking taylor expansion of 1.0 in k 5.110 * [backup-simplify]: Simplify 1.0 into 1.0 5.110 * [taylor]: Taking taylor expansion of k in k 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.110 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.110 * [taylor]: Taking taylor expansion of 2.0 in k 5.110 * [backup-simplify]: Simplify 2.0 into 2.0 5.110 * [taylor]: Taking taylor expansion of PI in k 5.110 * [backup-simplify]: Simplify PI into PI 5.110 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.111 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.111 * [backup-simplify]: Simplify (- 0) into 0 5.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.112 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.112 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.114 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.114 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.114 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.114 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.114 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.114 * [taylor]: Taking taylor expansion of 0.5 in k 5.114 * [backup-simplify]: Simplify 0.5 into 0.5 5.114 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.114 * [taylor]: Taking taylor expansion of 1.0 in k 5.114 * [backup-simplify]: Simplify 1.0 into 1.0 5.114 * [taylor]: Taking taylor expansion of k in k 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.114 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.114 * [taylor]: Taking taylor expansion of 2.0 in k 5.114 * [backup-simplify]: Simplify 2.0 into 2.0 5.114 * [taylor]: Taking taylor expansion of PI in k 5.114 * [backup-simplify]: Simplify PI into PI 5.115 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.115 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.115 * [backup-simplify]: Simplify (- 0) into 0 5.116 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.116 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.117 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.118 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.119 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 5.119 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.121 * [backup-simplify]: Simplify (- 1) into -1 5.121 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.122 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 5.130 * [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))) 5.140 * [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))) 5.141 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.142 * [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 5.143 * [backup-simplify]: Simplify (- 0) into 0 5.143 * [backup-simplify]: Simplify (+ 0 0) into 0 5.143 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 5.152 * [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))) 5.157 * [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))) 5.167 * [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)))) 5.167 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 5.167 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 5.167 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.167 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.167 * [taylor]: Taking taylor expansion of 0.5 in k 5.167 * [backup-simplify]: Simplify 0.5 into 0.5 5.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.167 * [taylor]: Taking taylor expansion of 1.0 in k 5.167 * [backup-simplify]: Simplify 1.0 into 1.0 5.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.167 * [taylor]: Taking taylor expansion of k in k 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (/ 1 1) into 1 5.168 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.168 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.168 * [taylor]: Taking taylor expansion of 2.0 in k 5.168 * [backup-simplify]: Simplify 2.0 into 2.0 5.168 * [taylor]: Taking taylor expansion of PI in k 5.168 * [backup-simplify]: Simplify PI into PI 5.168 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.169 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.169 * [backup-simplify]: Simplify (- 1) into -1 5.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.169 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.170 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.171 * [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))))) 5.171 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.171 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.171 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.171 * [taylor]: Taking taylor expansion of 0.5 in k 5.171 * [backup-simplify]: Simplify 0.5 into 0.5 5.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.171 * [taylor]: Taking taylor expansion of 1.0 in k 5.171 * [backup-simplify]: Simplify 1.0 into 1.0 5.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.171 * [taylor]: Taking taylor expansion of k in k 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.172 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.172 * [taylor]: Taking taylor expansion of 2.0 in k 5.172 * [backup-simplify]: Simplify 2.0 into 2.0 5.172 * [taylor]: Taking taylor expansion of PI in k 5.172 * [backup-simplify]: Simplify PI into PI 5.172 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.173 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.173 * [backup-simplify]: Simplify (- 1) into -1 5.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.173 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.174 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.175 * [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))))) 5.176 * [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))))) 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.177 * [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))))) 5.177 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 5.177 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 5.177 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.177 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.177 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.177 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.177 * [taylor]: Taking taylor expansion of 0.5 in k 5.177 * [backup-simplify]: Simplify 0.5 into 0.5 5.177 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.178 * [taylor]: Taking taylor expansion of k in k 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [taylor]: Taking taylor expansion of 1.0 in k 5.178 * [backup-simplify]: Simplify 1.0 into 1.0 5.178 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.178 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.178 * [taylor]: Taking taylor expansion of 2.0 in k 5.178 * [backup-simplify]: Simplify 2.0 into 2.0 5.178 * [taylor]: Taking taylor expansion of PI in k 5.178 * [backup-simplify]: Simplify PI into PI 5.178 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.179 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.179 * [backup-simplify]: Simplify (+ 1 0) into 1 5.179 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.180 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.181 * [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)))) 5.181 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.181 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) 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 k) 1.0) in k 5.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 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 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (log (* 2.0 PI)) in k 5.181 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.182 * [taylor]: Taking taylor expansion of 2.0 in k 5.182 * [backup-simplify]: Simplify 2.0 into 2.0 5.182 * [taylor]: Taking taylor expansion of PI in k 5.182 * [backup-simplify]: Simplify PI into PI 5.182 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.182 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.183 * [backup-simplify]: Simplify (+ 1 0) into 1 5.183 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.184 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.185 * [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)))) 5.186 * [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)))) 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.187 * [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))))) 5.187 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.187 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 5.187 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.187 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.187 * [taylor]: Taking taylor expansion of 1.0 in k 5.187 * [backup-simplify]: Simplify 1.0 into 1.0 5.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.187 * [taylor]: Taking taylor expansion of k in k 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [backup-simplify]: Simplify (sqrt 0) into 0 5.188 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.188 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.188 * [taylor]: Taking taylor expansion of 1.0 in k 5.188 * [backup-simplify]: Simplify 1.0 into 1.0 5.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.188 * [taylor]: Taking taylor expansion of k in k 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [backup-simplify]: Simplify (sqrt 0) into 0 5.189 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.190 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.191 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.194 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.198 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.199 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.199 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 5.200 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 5.200 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.200 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.200 * [taylor]: Taking taylor expansion of 1.0 in k 5.200 * [backup-simplify]: Simplify 1.0 into 1.0 5.200 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.200 * [taylor]: Taking taylor expansion of k in k 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (sqrt 0) into 0 5.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.201 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.201 * [taylor]: Taking taylor expansion of 1.0 in k 5.201 * [backup-simplify]: Simplify 1.0 into 1.0 5.201 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.201 * [taylor]: Taking taylor expansion of k in k 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (sqrt 0) into 0 5.202 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.202 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.203 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.205 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.206 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.209 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.210 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.211 * [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)))))))) 5.211 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 5.211 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.211 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.211 * [taylor]: Taking taylor expansion of 1.0 in k 5.211 * [backup-simplify]: Simplify 1.0 into 1.0 5.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.211 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.211 * [taylor]: Taking taylor expansion of -1 in k 5.211 * [backup-simplify]: Simplify -1 into -1 5.211 * [taylor]: Taking taylor expansion of k in k 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ -1 1) into -1 5.211 * [backup-simplify]: Simplify (sqrt 0) into 0 5.212 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.212 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.212 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.212 * [taylor]: Taking taylor expansion of 1.0 in k 5.212 * [backup-simplify]: Simplify 1.0 into 1.0 5.212 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.212 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.212 * [taylor]: Taking taylor expansion of -1 in k 5.212 * [backup-simplify]: Simplify -1 into -1 5.212 * [taylor]: Taking taylor expansion of k in k 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 1 into 1 5.213 * [backup-simplify]: Simplify (/ -1 1) into -1 5.213 * [backup-simplify]: Simplify (sqrt 0) into 0 5.214 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.214 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.214 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.217 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.218 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.223 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.223 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.223 * [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))))) 5.224 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.224 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 5.224 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 5.224 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 5.224 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 5.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 5.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 5.224 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.224 * [taylor]: Taking taylor expansion of 0.5 in n 5.224 * [backup-simplify]: Simplify 0.5 into 0.5 5.224 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.224 * [taylor]: Taking taylor expansion of 1.0 in n 5.224 * [backup-simplify]: Simplify 1.0 into 1.0 5.224 * [taylor]: Taking taylor expansion of k in n 5.224 * [backup-simplify]: Simplify k into k 5.224 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.224 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.224 * [taylor]: Taking taylor expansion of 2.0 in n 5.224 * [backup-simplify]: Simplify 2.0 into 2.0 5.224 * [taylor]: Taking taylor expansion of PI in n 5.224 * [backup-simplify]: Simplify PI into PI 5.225 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.225 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.225 * [backup-simplify]: Simplify (- k) into (- k) 5.225 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.225 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.226 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 5.227 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 5.227 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.227 * [taylor]: Taking taylor expansion of 0.5 in n 5.227 * [backup-simplify]: Simplify 0.5 into 0.5 5.227 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.227 * [taylor]: Taking taylor expansion of 1.0 in n 5.227 * [backup-simplify]: Simplify 1.0 into 1.0 5.227 * [taylor]: Taking taylor expansion of k in n 5.227 * [backup-simplify]: Simplify k into k 5.227 * [taylor]: Taking taylor expansion of (log n) in n 5.227 * [taylor]: Taking taylor expansion of n in n 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify (log 1) into 0 5.227 * [backup-simplify]: Simplify (- k) into (- k) 5.227 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.227 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.234 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.234 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.234 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.234 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.234 * [taylor]: Taking taylor expansion of 0.5 in k 5.234 * [backup-simplify]: Simplify 0.5 into 0.5 5.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.234 * [taylor]: Taking taylor expansion of 1.0 in k 5.234 * [backup-simplify]: Simplify 1.0 into 1.0 5.234 * [taylor]: Taking taylor expansion of k in k 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.234 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.235 * [taylor]: Taking taylor expansion of 2.0 in k 5.235 * [backup-simplify]: Simplify 2.0 into 2.0 5.235 * [taylor]: Taking taylor expansion of PI in k 5.235 * [backup-simplify]: Simplify PI into PI 5.235 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.236 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.236 * [backup-simplify]: Simplify (- 0) into 0 5.236 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.236 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.237 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.239 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.239 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.239 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.239 * [taylor]: Taking taylor expansion of 0.5 in k 5.239 * [backup-simplify]: Simplify 0.5 into 0.5 5.239 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.239 * [taylor]: Taking taylor expansion of 1.0 in k 5.239 * [backup-simplify]: Simplify 1.0 into 1.0 5.239 * [taylor]: Taking taylor expansion of k in k 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [taylor]: Taking taylor expansion of (log n) in k 5.239 * [taylor]: Taking taylor expansion of n in k 5.239 * [backup-simplify]: Simplify n into n 5.239 * [backup-simplify]: Simplify (log n) into (log n) 5.239 * [backup-simplify]: Simplify (- 0) into 0 5.239 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.240 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.240 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 5.240 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.240 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.240 * [taylor]: Taking taylor expansion of 0.5 in k 5.240 * [backup-simplify]: Simplify 0.5 into 0.5 5.240 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.240 * [taylor]: Taking taylor expansion of 1.0 in k 5.240 * [backup-simplify]: Simplify 1.0 into 1.0 5.240 * [taylor]: Taking taylor expansion of k in k 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.240 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.240 * [taylor]: Taking taylor expansion of 2.0 in k 5.240 * [backup-simplify]: Simplify 2.0 into 2.0 5.240 * [taylor]: Taking taylor expansion of PI in k 5.240 * [backup-simplify]: Simplify PI into PI 5.240 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.241 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.241 * [backup-simplify]: Simplify (- 0) into 0 5.242 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.242 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.243 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.245 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.245 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.245 * [taylor]: Taking taylor expansion of 0.5 in k 5.245 * [backup-simplify]: Simplify 0.5 into 0.5 5.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.245 * [taylor]: Taking taylor expansion of 1.0 in k 5.245 * [backup-simplify]: Simplify 1.0 into 1.0 5.245 * [taylor]: Taking taylor expansion of k in k 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [taylor]: Taking taylor expansion of (log n) in k 5.245 * [taylor]: Taking taylor expansion of n in k 5.245 * [backup-simplify]: Simplify n into n 5.245 * [backup-simplify]: Simplify (log n) into (log n) 5.245 * [backup-simplify]: Simplify (- 0) into 0 5.245 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.246 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.246 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 5.246 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.247 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 5.247 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.247 * [taylor]: Taking taylor expansion of 0.5 in n 5.247 * [backup-simplify]: Simplify 0.5 into 0.5 5.247 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.247 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.247 * [taylor]: Taking taylor expansion of 1.0 in n 5.247 * [backup-simplify]: Simplify 1.0 into 1.0 5.247 * [taylor]: Taking taylor expansion of (log PI) in n 5.247 * [taylor]: Taking taylor expansion of PI in n 5.247 * [backup-simplify]: Simplify PI into PI 5.247 * [backup-simplify]: Simplify (log PI) into (log PI) 5.248 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.249 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.249 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.249 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.249 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) 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 (log n) in n 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 (log 1) into 0 5.249 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.249 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.249 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.249 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.249 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.249 * [taylor]: Taking taylor expansion of 1.0 in n 5.250 * [backup-simplify]: Simplify 1.0 into 1.0 5.250 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.250 * [taylor]: Taking taylor expansion of 2.0 in n 5.250 * [backup-simplify]: Simplify 2.0 into 2.0 5.250 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.250 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.251 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.252 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.252 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.253 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.254 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.255 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.256 * [backup-simplify]: Simplify (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 (pow (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) 1.0) 0.5) 5.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.256 * [backup-simplify]: Simplify (- 1) into -1 5.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.257 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 5.258 * [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))) 5.259 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.260 * [backup-simplify]: Simplify (- 1) into -1 5.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.261 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 5.270 * [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))) 5.274 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 5.274 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 5.274 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 5.275 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.275 * [taylor]: Taking taylor expansion of 0.5 in n 5.275 * [backup-simplify]: Simplify 0.5 into 0.5 5.275 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.275 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.275 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.275 * [taylor]: Taking taylor expansion of 2.0 in n 5.275 * [backup-simplify]: Simplify 2.0 into 2.0 5.275 * [taylor]: Taking taylor expansion of PI in n 5.275 * [backup-simplify]: Simplify PI into PI 5.275 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.276 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.276 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.276 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.276 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.276 * [taylor]: Taking taylor expansion of 0.5 in n 5.276 * [backup-simplify]: Simplify 0.5 into 0.5 5.276 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.276 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.276 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.276 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.276 * [taylor]: Taking taylor expansion of 1.0 in n 5.276 * [backup-simplify]: Simplify 1.0 into 1.0 5.276 * [taylor]: Taking taylor expansion of (log PI) in n 5.276 * [taylor]: Taking taylor expansion of PI in n 5.276 * [backup-simplify]: Simplify PI into PI 5.276 * [backup-simplify]: Simplify (log PI) into (log PI) 5.277 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.278 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.278 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.278 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.278 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.278 * [taylor]: Taking taylor expansion of 1.0 in n 5.278 * [backup-simplify]: Simplify 1.0 into 1.0 5.278 * [taylor]: Taking taylor expansion of (log n) in n 5.278 * [taylor]: Taking taylor expansion of n in n 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [backup-simplify]: Simplify (log 1) into 0 5.278 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.278 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.278 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.278 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.278 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.278 * [taylor]: Taking taylor expansion of 1.0 in n 5.278 * [backup-simplify]: Simplify 1.0 into 1.0 5.278 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.278 * [taylor]: Taking taylor expansion of 2.0 in n 5.278 * [backup-simplify]: Simplify 2.0 into 2.0 5.279 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.279 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.280 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.280 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.281 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.282 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.283 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.284 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.284 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.284 * [taylor]: Taking taylor expansion of 0.5 in n 5.284 * [backup-simplify]: Simplify 0.5 into 0.5 5.284 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.284 * [taylor]: Taking taylor expansion of (log n) in n 5.284 * [taylor]: Taking taylor expansion of n in n 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify 1 into 1 5.284 * [backup-simplify]: Simplify (log 1) into 0 5.284 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.284 * [taylor]: Taking taylor expansion of 0.5 in n 5.284 * [backup-simplify]: Simplify 0.5 into 0.5 5.284 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.284 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.284 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.284 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.284 * [taylor]: Taking taylor expansion of 1.0 in n 5.284 * [backup-simplify]: Simplify 1.0 into 1.0 5.284 * [taylor]: Taking taylor expansion of (log PI) in n 5.284 * [taylor]: Taking taylor expansion of PI in n 5.284 * [backup-simplify]: Simplify PI into PI 5.285 * [backup-simplify]: Simplify (log PI) into (log PI) 5.285 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.286 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.286 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.286 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.286 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.286 * [taylor]: Taking taylor expansion of 1.0 in n 5.286 * [backup-simplify]: Simplify 1.0 into 1.0 5.286 * [taylor]: Taking taylor expansion of (log n) in n 5.286 * [taylor]: Taking taylor expansion of n in n 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (log 1) into 0 5.287 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.287 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.287 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.287 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.287 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.287 * [taylor]: Taking taylor expansion of 1.0 in n 5.287 * [backup-simplify]: Simplify 1.0 into 1.0 5.287 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.287 * [taylor]: Taking taylor expansion of 2.0 in n 5.287 * [backup-simplify]: Simplify 2.0 into 2.0 5.287 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.288 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.289 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.290 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.290 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.291 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.292 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.293 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.294 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 5.295 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 5.296 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.297 * [backup-simplify]: Simplify (* (log n) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 5.297 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.300 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 5.302 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 5.304 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 5.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 5.306 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 5.306 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 5.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.307 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.308 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 5.308 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 5.309 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 5.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 5.311 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 5.311 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 5.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 5.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 5.315 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.315 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.316 * [backup-simplify]: Simplify (- 0) into 0 5.316 * [backup-simplify]: Simplify (+ 0 0) into 0 5.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 5.318 * [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))) 5.319 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.320 * [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 5.321 * [backup-simplify]: Simplify (- 0) into 0 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 5.336 * [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))) 5.346 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 5.346 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 5.346 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.346 * [taylor]: Taking taylor expansion of 0.125 in n 5.346 * [backup-simplify]: Simplify 0.125 into 0.125 5.346 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.346 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 5.346 * [taylor]: Taking taylor expansion of (log n) in n 5.346 * [taylor]: Taking taylor expansion of n in n 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.346 * [backup-simplify]: Simplify (log 1) into 0 5.347 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.347 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.347 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.347 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.347 * [taylor]: Taking taylor expansion of 0.5 in n 5.347 * [backup-simplify]: Simplify 0.5 into 0.5 5.347 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.347 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.347 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.347 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.347 * [taylor]: Taking taylor expansion of 1.0 in n 5.347 * [backup-simplify]: Simplify 1.0 into 1.0 5.347 * [taylor]: Taking taylor expansion of (log PI) in n 5.347 * [taylor]: Taking taylor expansion of PI in n 5.347 * [backup-simplify]: Simplify PI into PI 5.347 * [backup-simplify]: Simplify (log PI) into (log PI) 5.348 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.349 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.349 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.349 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.349 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.349 * [taylor]: Taking taylor expansion of 1.0 in n 5.349 * [backup-simplify]: Simplify 1.0 into 1.0 5.349 * [taylor]: Taking taylor expansion of (log n) in n 5.349 * [taylor]: Taking taylor expansion of n in n 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (log 1) into 0 5.349 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.349 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.349 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.349 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.349 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.349 * [taylor]: Taking taylor expansion of 1.0 in n 5.349 * [backup-simplify]: Simplify 1.0 into 1.0 5.349 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.349 * [taylor]: Taking taylor expansion of 2.0 in n 5.349 * [backup-simplify]: Simplify 2.0 into 2.0 5.350 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.350 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.351 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.351 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.352 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.353 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.354 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.355 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.355 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 5.355 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 5.355 * [taylor]: Taking taylor expansion of 0.25 in n 5.355 * [backup-simplify]: Simplify 0.25 into 0.25 5.355 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 5.355 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 5.355 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.355 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.355 * [taylor]: Taking taylor expansion of 2.0 in n 5.355 * [backup-simplify]: Simplify 2.0 into 2.0 5.355 * [taylor]: Taking taylor expansion of PI in n 5.355 * [backup-simplify]: Simplify PI into PI 5.355 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.356 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.356 * [taylor]: Taking taylor expansion of (log n) in n 5.356 * [taylor]: Taking taylor expansion of n in n 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify 1 into 1 5.356 * [backup-simplify]: Simplify (log 1) into 0 5.356 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 5.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 5.356 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 5.356 * [taylor]: Taking taylor expansion of 0.5 in n 5.356 * [backup-simplify]: Simplify 0.5 into 0.5 5.356 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 5.356 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 5.356 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.356 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.356 * [taylor]: Taking taylor expansion of 1.0 in n 5.356 * [backup-simplify]: Simplify 1.0 into 1.0 5.356 * [taylor]: Taking taylor expansion of (log PI) in n 5.356 * [taylor]: Taking taylor expansion of PI in n 5.356 * [backup-simplify]: Simplify PI into PI 5.356 * [backup-simplify]: Simplify (log PI) into (log PI) 5.357 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.358 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.358 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 5.358 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.358 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.358 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.358 * [taylor]: Taking taylor expansion of 1.0 in n 5.358 * [backup-simplify]: Simplify 1.0 into 1.0 5.358 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.358 * [taylor]: Taking taylor expansion of 2.0 in n 5.358 * [backup-simplify]: Simplify 2.0 into 2.0 5.358 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.359 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.360 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.360 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.360 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.360 * [taylor]: Taking taylor expansion of 1.0 in n 5.360 * [backup-simplify]: Simplify 1.0 into 1.0 5.360 * [taylor]: Taking taylor expansion of (log n) in n 5.360 * [taylor]: Taking taylor expansion of n in n 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (log 1) into 0 5.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.360 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.360 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.361 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.362 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.362 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.363 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.364 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.364 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.364 * [taylor]: Taking taylor expansion of 0.125 in n 5.364 * [backup-simplify]: Simplify 0.125 into 0.125 5.364 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.364 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 5.364 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.364 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.364 * [taylor]: Taking taylor expansion of 2.0 in n 5.364 * [backup-simplify]: Simplify 2.0 into 2.0 5.364 * [taylor]: Taking taylor expansion of PI in n 5.364 * [backup-simplify]: Simplify PI into PI 5.365 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.365 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.365 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.365 * [taylor]: Taking taylor expansion of 0.5 in n 5.365 * [backup-simplify]: Simplify 0.5 into 0.5 5.365 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.365 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.366 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.366 * [taylor]: Taking taylor expansion of 1.0 in n 5.366 * [backup-simplify]: Simplify 1.0 into 1.0 5.366 * [taylor]: Taking taylor expansion of (log PI) in n 5.366 * [taylor]: Taking taylor expansion of PI in n 5.366 * [backup-simplify]: Simplify PI into PI 5.366 * [backup-simplify]: Simplify (log PI) into (log PI) 5.366 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.367 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.367 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.367 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.367 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.367 * [taylor]: Taking taylor expansion of 1.0 in n 5.367 * [backup-simplify]: Simplify 1.0 into 1.0 5.367 * [taylor]: Taking taylor expansion of (log n) in n 5.368 * [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 * [backup-simplify]: Simplify (log 1) into 0 5.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.368 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.368 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.368 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.368 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.368 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.368 * [taylor]: Taking taylor expansion of 1.0 in n 5.368 * [backup-simplify]: Simplify 1.0 into 1.0 5.368 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.368 * [taylor]: Taking taylor expansion of 2.0 in n 5.368 * [backup-simplify]: Simplify 2.0 into 2.0 5.369 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.369 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.370 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.370 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.371 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.372 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.373 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.374 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.374 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.374 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.374 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 5.375 * [backup-simplify]: Simplify (* (pow (log n) 2) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 5.376 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.376 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.377 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 5.379 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 5.380 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 5.382 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 5.384 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 5.385 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 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 n 1.0) (pow PI 1.0))) 0.5))) 5.389 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 5.393 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 5.397 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 5.406 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (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) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 5.406 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 5.406 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 5.406 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.406 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.406 * [taylor]: Taking taylor expansion of 0.5 in n 5.406 * [backup-simplify]: Simplify 0.5 into 0.5 5.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.406 * [taylor]: Taking taylor expansion of 1.0 in n 5.406 * [backup-simplify]: Simplify 1.0 into 1.0 5.406 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.406 * [taylor]: Taking taylor expansion of k in n 5.406 * [backup-simplify]: Simplify k into k 5.406 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.406 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.407 * [taylor]: Taking taylor expansion of n in n 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [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 k)) into (- (/ 1 k)) 5.407 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.407 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.407 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.408 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.408 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 5.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 5.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.408 * [taylor]: Taking taylor expansion of 0.5 in n 5.408 * [backup-simplify]: Simplify 0.5 into 0.5 5.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.408 * [taylor]: Taking taylor expansion of 1.0 in n 5.408 * [backup-simplify]: Simplify 1.0 into 1.0 5.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.408 * [taylor]: Taking taylor expansion of k in n 5.408 * [backup-simplify]: Simplify k into k 5.408 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.408 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.408 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.408 * [taylor]: Taking taylor expansion of 2.0 in n 5.408 * [backup-simplify]: Simplify 2.0 into 2.0 5.408 * [taylor]: Taking taylor expansion of PI in n 5.408 * [backup-simplify]: Simplify PI into PI 5.408 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.409 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.409 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.409 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.409 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.410 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.410 * [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))))) 5.410 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.410 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.410 * [taylor]: Taking taylor expansion of 0.5 in k 5.411 * [backup-simplify]: Simplify 0.5 into 0.5 5.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.411 * [taylor]: Taking taylor expansion of 1.0 in k 5.411 * [backup-simplify]: Simplify 1.0 into 1.0 5.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.411 * [taylor]: Taking taylor expansion of k in k 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [backup-simplify]: Simplify (/ 1 1) into 1 5.411 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.411 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.411 * [taylor]: Taking taylor expansion of n in k 5.411 * [backup-simplify]: Simplify n into n 5.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.411 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.411 * [backup-simplify]: Simplify (- 1) into -1 5.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.412 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.412 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.412 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.412 * [taylor]: Taking taylor expansion of 0.5 in k 5.412 * [backup-simplify]: Simplify 0.5 into 0.5 5.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.412 * [taylor]: Taking taylor expansion of 1.0 in k 5.412 * [backup-simplify]: Simplify 1.0 into 1.0 5.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.412 * [taylor]: Taking taylor expansion of k in k 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (/ 1 1) into 1 5.412 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.412 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.412 * [taylor]: Taking taylor expansion of 2.0 in k 5.412 * [backup-simplify]: Simplify 2.0 into 2.0 5.412 * [taylor]: Taking taylor expansion of PI in k 5.412 * [backup-simplify]: Simplify PI into PI 5.413 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.413 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.413 * [backup-simplify]: Simplify (- 1) into -1 5.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.414 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.415 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.416 * [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))))) 5.416 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.416 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.416 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.416 * [taylor]: Taking taylor expansion of 0.5 in k 5.416 * [backup-simplify]: Simplify 0.5 into 0.5 5.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.416 * [taylor]: Taking taylor expansion of 1.0 in k 5.416 * [backup-simplify]: Simplify 1.0 into 1.0 5.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.416 * [taylor]: Taking taylor expansion of k in k 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.416 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.416 * [taylor]: Taking taylor expansion of n in k 5.416 * [backup-simplify]: Simplify n into n 5.416 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.416 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.417 * [backup-simplify]: Simplify (- 1) into -1 5.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.417 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.417 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.418 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.418 * [taylor]: Taking taylor expansion of 0.5 in k 5.418 * [backup-simplify]: Simplify 0.5 into 0.5 5.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.418 * [taylor]: Taking taylor expansion of 1.0 in k 5.418 * [backup-simplify]: Simplify 1.0 into 1.0 5.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.418 * [taylor]: Taking taylor expansion of k in k 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.418 * [backup-simplify]: Simplify (/ 1 1) into 1 5.418 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.418 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.418 * [taylor]: Taking taylor expansion of 2.0 in k 5.418 * [backup-simplify]: Simplify 2.0 into 2.0 5.418 * [taylor]: Taking taylor expansion of PI in k 5.418 * [backup-simplify]: Simplify PI into PI 5.419 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.419 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.419 * [backup-simplify]: Simplify (- 1) into -1 5.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.420 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.421 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.422 * [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))))) 5.423 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 5.423 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 5.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.423 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.423 * [taylor]: Taking taylor expansion of 0.5 in n 5.423 * [backup-simplify]: Simplify 0.5 into 0.5 5.423 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.423 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.423 * [taylor]: Taking taylor expansion of n in n 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [backup-simplify]: Simplify (log 1) into 0 5.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.423 * [taylor]: Taking taylor expansion of 1.0 in n 5.423 * [backup-simplify]: Simplify 1.0 into 1.0 5.423 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.423 * [taylor]: Taking taylor expansion of k in n 5.423 * [backup-simplify]: Simplify k into k 5.423 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.429 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.429 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.429 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 5.429 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.429 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.429 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.429 * [taylor]: Taking taylor expansion of 0.5 in n 5.429 * [backup-simplify]: Simplify 0.5 into 0.5 5.429 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.429 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.429 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.429 * [taylor]: Taking taylor expansion of 2.0 in n 5.429 * [backup-simplify]: Simplify 2.0 into 2.0 5.429 * [taylor]: Taking taylor expansion of PI in n 5.429 * [backup-simplify]: Simplify PI into PI 5.430 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.431 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.431 * [taylor]: Taking taylor expansion of 1.0 in n 5.431 * [backup-simplify]: Simplify 1.0 into 1.0 5.431 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.431 * [taylor]: Taking taylor expansion of k in n 5.431 * [backup-simplify]: Simplify k into k 5.431 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.431 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.431 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.432 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 5.432 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.433 * [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))))) 5.434 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 5.434 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 5.435 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 5.435 * [taylor]: Taking taylor expansion of 0 in n 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.436 * [backup-simplify]: Simplify (- 0) into 0 5.436 * [backup-simplify]: Simplify (+ 0 0) into 0 5.436 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.438 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 5.440 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.441 * [backup-simplify]: Simplify (- 0) into 0 5.441 * [backup-simplify]: Simplify (+ 0 0) into 0 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.442 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 5.443 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.444 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 5.445 * [taylor]: Taking taylor expansion of 0 in n 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.445 * [backup-simplify]: Simplify (- 0) into 0 5.445 * [backup-simplify]: Simplify (+ 0 0) into 0 5.446 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.448 * [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 5.448 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 5.451 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.451 * [backup-simplify]: Simplify (- 0) into 0 5.452 * [backup-simplify]: Simplify (+ 0 0) into 0 5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.454 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.454 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 5.455 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.456 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 5.456 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 5.457 * [taylor]: Taking taylor expansion of 0 in n 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 5.459 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 5.459 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 5.459 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 5.459 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.459 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.459 * [taylor]: Taking taylor expansion of 0.5 in n 5.459 * [backup-simplify]: Simplify 0.5 into 0.5 5.459 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.459 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.459 * [taylor]: Taking taylor expansion of k in n 5.459 * [backup-simplify]: Simplify k into k 5.459 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.459 * [taylor]: Taking taylor expansion of 1.0 in n 5.459 * [backup-simplify]: Simplify 1.0 into 1.0 5.459 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.459 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.459 * [taylor]: Taking taylor expansion of -1 in n 5.459 * [backup-simplify]: Simplify -1 into -1 5.459 * [taylor]: Taking taylor expansion of n in n 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (/ -1 1) into -1 5.460 * [backup-simplify]: Simplify (log -1) into (log -1) 5.460 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.460 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.461 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.461 * [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)))) 5.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 5.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 5.461 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.461 * [taylor]: Taking taylor expansion of 0.5 in n 5.461 * [backup-simplify]: Simplify 0.5 into 0.5 5.461 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.461 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.461 * [taylor]: Taking taylor expansion of k in n 5.461 * [backup-simplify]: Simplify k into k 5.461 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.461 * [taylor]: Taking taylor expansion of 1.0 in n 5.461 * [backup-simplify]: Simplify 1.0 into 1.0 5.461 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.461 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.461 * [taylor]: Taking taylor expansion of 2.0 in n 5.461 * [backup-simplify]: Simplify 2.0 into 2.0 5.461 * [taylor]: Taking taylor expansion of PI in n 5.461 * [backup-simplify]: Simplify PI into PI 5.462 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.462 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.462 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.462 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.463 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.464 * [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)))) 5.464 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.464 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.464 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.464 * [taylor]: Taking taylor expansion of 0.5 in k 5.464 * [backup-simplify]: Simplify 0.5 into 0.5 5.464 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.464 * [taylor]: Taking taylor expansion of k in k 5.464 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.464 * [taylor]: Taking taylor expansion of 1.0 in k 5.464 * [backup-simplify]: Simplify 1.0 into 1.0 5.464 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.464 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.464 * [taylor]: Taking taylor expansion of -1 in k 5.464 * [backup-simplify]: Simplify -1 into -1 5.464 * [taylor]: Taking taylor expansion of n in k 5.464 * [backup-simplify]: Simplify n into n 5.464 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.464 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.465 * [backup-simplify]: Simplify (+ 1 0) into 1 5.465 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.465 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.465 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.465 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.465 * [taylor]: Taking taylor expansion of 0.5 in k 5.465 * [backup-simplify]: Simplify 0.5 into 0.5 5.465 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.465 * [taylor]: Taking taylor expansion of k in k 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [taylor]: Taking taylor expansion of 1.0 in k 5.465 * [backup-simplify]: Simplify 1.0 into 1.0 5.465 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.465 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.465 * [taylor]: Taking taylor expansion of 2.0 in k 5.465 * [backup-simplify]: Simplify 2.0 into 2.0 5.466 * [taylor]: Taking taylor expansion of PI in k 5.466 * [backup-simplify]: Simplify PI into PI 5.466 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.466 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.467 * [backup-simplify]: Simplify (+ 1 0) into 1 5.467 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.468 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.469 * [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)))) 5.469 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.469 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.469 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.469 * [taylor]: Taking taylor expansion of 0.5 in k 5.469 * [backup-simplify]: Simplify 0.5 into 0.5 5.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.469 * [taylor]: Taking taylor expansion of k in k 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [taylor]: Taking taylor expansion of 1.0 in k 5.469 * [backup-simplify]: Simplify 1.0 into 1.0 5.469 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.469 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.469 * [taylor]: Taking taylor expansion of -1 in k 5.469 * [backup-simplify]: Simplify -1 into -1 5.469 * [taylor]: Taking taylor expansion of n in k 5.469 * [backup-simplify]: Simplify n into n 5.469 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.469 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.470 * [backup-simplify]: Simplify (+ 1 0) into 1 5.470 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.470 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.470 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.470 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.470 * [taylor]: Taking taylor expansion of 0.5 in k 5.470 * [backup-simplify]: Simplify 0.5 into 0.5 5.470 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.470 * [taylor]: Taking taylor expansion of k in k 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.471 * [backup-simplify]: Simplify (/ 1 1) into 1 5.471 * [taylor]: Taking taylor expansion of 1.0 in k 5.471 * [backup-simplify]: Simplify 1.0 into 1.0 5.471 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.471 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.471 * [taylor]: Taking taylor expansion of 2.0 in k 5.471 * [backup-simplify]: Simplify 2.0 into 2.0 5.471 * [taylor]: Taking taylor expansion of PI in k 5.471 * [backup-simplify]: Simplify PI into PI 5.471 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.472 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.472 * [backup-simplify]: Simplify (+ 1 0) into 1 5.472 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.473 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.474 * [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)))) 5.475 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 5.475 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.475 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.475 * [taylor]: Taking taylor expansion of 0.5 in n 5.475 * [backup-simplify]: Simplify 0.5 into 0.5 5.475 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.475 * [taylor]: Taking taylor expansion of k in n 5.475 * [backup-simplify]: Simplify k into k 5.475 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.475 * [taylor]: Taking taylor expansion of 1.0 in n 5.475 * [backup-simplify]: Simplify 1.0 into 1.0 5.475 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.475 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.475 * [taylor]: Taking taylor expansion of -1 in n 5.475 * [backup-simplify]: Simplify -1 into -1 5.475 * [taylor]: Taking taylor expansion of n in n 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [backup-simplify]: Simplify (/ -1 1) into -1 5.476 * [backup-simplify]: Simplify (log -1) into (log -1) 5.476 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.476 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 5.477 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.477 * [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)))) 5.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.477 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.477 * [taylor]: Taking taylor expansion of 0.5 in n 5.477 * [backup-simplify]: Simplify 0.5 into 0.5 5.477 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.477 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.477 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.477 * [taylor]: Taking taylor expansion of 2.0 in n 5.477 * [backup-simplify]: Simplify 2.0 into 2.0 5.477 * [taylor]: Taking taylor expansion of PI in n 5.477 * [backup-simplify]: Simplify PI into PI 5.478 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.478 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.478 * [taylor]: Taking taylor expansion of k in n 5.478 * [backup-simplify]: Simplify k into k 5.478 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.478 * [taylor]: Taking taylor expansion of 1.0 in n 5.478 * [backup-simplify]: Simplify 1.0 into 1.0 5.479 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.479 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 5.480 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.481 * [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)))) 5.482 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 5.483 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 5.484 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 5.484 * [taylor]: Taking taylor expansion of 0 in n 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.484 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.486 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.487 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 5.488 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.489 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.490 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 5.491 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 5.492 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 5.493 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 5.494 * [taylor]: Taking taylor expansion of 0 in n 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.494 * [backup-simplify]: Simplify (+ 0 0) into 0 5.495 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.497 * [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 5.497 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 5.500 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.502 * [backup-simplify]: Simplify (+ 0 0) into 0 5.502 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.503 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 5.504 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 5.505 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.506 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 5.506 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 5.507 * [taylor]: Taking taylor expansion of 0 in n 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 5.508 * * * [progress]: simplifying candidates 5.511 * [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))) (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 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 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))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 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 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))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 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 (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 5.515 * * [simplify]: Extracting # 0 : cost 0 5.515 * * [simplify]: Extracting # 1 : cost 0 5.516 * * [simplify]: Extracting # 2 : cost 0 5.522 * * [simplify]: Extracting # 3 : cost 0 5.522 * * [simplify]: Extracting # 4 : cost 0 5.523 * * [simplify]: Extracting # 5 : cost 0 5.523 * * [simplify]: Extracting # 6 : cost 0 5.524 * * [simplify]: Extracting # 7 : cost 0 5.524 * * [simplify]: Extracting # 8 : cost 0 5.524 * * [simplify]: Extracting # 9 : cost 0 5.525 * * [simplify]: Extracting # 10 : cost 0 5.525 * * [simplify]: Extracting # 11 : cost 0 5.526 * * [simplify]: Extracting # 12 : cost 0 5.526 * * [simplify]: Extracting # 13 : cost 0 5.527 * * [simplify]: Extracting # 14 : cost 0 5.527 * * [simplify]: Extracting # 15 : cost 0 5.528 * * [simplify]: iteration 0 : 324 enodes (cost 2568 ) 5.612 * * [simplify]: Extracting # 0 : cost 0 5.613 * * [simplify]: Extracting # 1 : cost 0 5.614 * * [simplify]: Extracting # 2 : cost 0 5.615 * * [simplify]: Extracting # 3 : cost 0 5.616 * * [simplify]: Extracting # 4 : cost 0 5.617 * * [simplify]: iteration 1 : 775 enodes (cost 2337 ) 5.869 * * [simplify]: Extracting # 0 : cost 0 5.872 * * [simplify]: Extracting # 1 : cost 0 5.875 * * [simplify]: Extracting # 2 : cost 0 5.877 * * [simplify]: Extracting # 3 : cost 0 5.880 * * [simplify]: Extracting # 4 : cost 0 5.883 * * [simplify]: Extracting # 5 : cost 0 5.886 * * [simplify]: iteration 2 : 2301 enodes (cost 2238 ) 6.470 * * [simplify]: Extracting # 0 : cost 0 6.476 * * [simplify]: Extracting # 1 : cost 0 6.489 * * [simplify]: Extracting # 2 : cost 0 6.496 * * [simplify]: Extracting # 3 : cost 0 6.502 * * [simplify]: Extracting # 4 : cost 0 6.508 * * [simplify]: iteration done: 5000 enodes (cost 2222 ) 6.510 * [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))) (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 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (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 (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (fma +nan.0 k (fma (* k k) (- +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))) (- (fma 0.125 (fma (* (pow k 2) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma 0.25 (* (* (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)) (pow (pow (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) 1.0) 1.0) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (fma (log n) k (* k (log (* 2.0 PI))))))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (exp (* (* 0.5 (- 1.0 k)) (+ (+ 0 (log n)) (log (* 2.0 PI))))) 6.511 * * * [progress]: adding candidates to table 7.004 * * [progress]: iteration 3 / 4 7.004 * * * [progress]: picking best candidate 7.028 * * * * [pick]: Picked # 7.028 * * * [progress]: localizing error 7.045 * * * [progress]: generating rewritten candidates 7.045 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.067 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.127 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.138 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 7.161 * * * [progress]: generating series expansions 7.161 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.162 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 7.162 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.162 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.162 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.162 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.162 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.162 * [taylor]: Taking taylor expansion of 0.5 in k 7.162 * [backup-simplify]: Simplify 0.5 into 0.5 7.162 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.162 * [taylor]: Taking taylor expansion of 1.0 in k 7.162 * [backup-simplify]: Simplify 1.0 into 1.0 7.162 * [taylor]: Taking taylor expansion of k in k 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.162 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.162 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.162 * [taylor]: Taking taylor expansion of 2.0 in k 7.162 * [backup-simplify]: Simplify 2.0 into 2.0 7.162 * [taylor]: Taking taylor expansion of (* n PI) in k 7.162 * [taylor]: Taking taylor expansion of n in k 7.162 * [backup-simplify]: Simplify n into n 7.162 * [taylor]: Taking taylor expansion of PI in k 7.162 * [backup-simplify]: Simplify PI into PI 7.162 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.162 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.162 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.163 * [backup-simplify]: Simplify (- 0) into 0 7.163 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.163 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.163 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 7.164 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 7.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.164 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.164 * [taylor]: Taking taylor expansion of 0.5 in n 7.164 * [backup-simplify]: Simplify 0.5 into 0.5 7.164 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.164 * [taylor]: Taking taylor expansion of 1.0 in n 7.164 * [backup-simplify]: Simplify 1.0 into 1.0 7.164 * [taylor]: Taking taylor expansion of k in n 7.164 * [backup-simplify]: Simplify k into k 7.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.164 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.164 * [taylor]: Taking taylor expansion of 2.0 in n 7.164 * [backup-simplify]: Simplify 2.0 into 2.0 7.164 * [taylor]: Taking taylor expansion of (* n PI) in n 7.164 * [taylor]: Taking taylor expansion of n in n 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 1 into 1 7.164 * [taylor]: Taking taylor expansion of PI in n 7.164 * [backup-simplify]: Simplify PI into PI 7.164 * [backup-simplify]: Simplify (* 0 PI) into 0 7.164 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.165 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.166 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.167 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.167 * [backup-simplify]: Simplify (- k) into (- k) 7.167 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.167 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.168 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.169 * [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)))) 7.169 * [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))))) 7.169 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.169 * [taylor]: Taking taylor expansion of 0.5 in n 7.169 * [backup-simplify]: Simplify 0.5 into 0.5 7.169 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.169 * [taylor]: Taking taylor expansion of 1.0 in n 7.169 * [backup-simplify]: Simplify 1.0 into 1.0 7.169 * [taylor]: Taking taylor expansion of k in n 7.169 * [backup-simplify]: Simplify k into k 7.169 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.169 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.169 * [taylor]: Taking taylor expansion of 2.0 in n 7.169 * [backup-simplify]: Simplify 2.0 into 2.0 7.169 * [taylor]: Taking taylor expansion of (* n PI) in n 7.170 * [taylor]: Taking taylor expansion of n in n 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [taylor]: Taking taylor expansion of PI in n 7.170 * [backup-simplify]: Simplify PI into PI 7.170 * [backup-simplify]: Simplify (* 0 PI) into 0 7.170 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.172 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.172 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.172 * [backup-simplify]: Simplify (- k) into (- k) 7.172 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.172 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.174 * [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)))) 7.175 * [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))))) 7.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.175 * [taylor]: Taking taylor expansion of 0.5 in k 7.175 * [backup-simplify]: Simplify 0.5 into 0.5 7.175 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.175 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.175 * [taylor]: Taking taylor expansion of 1.0 in k 7.175 * [backup-simplify]: Simplify 1.0 into 1.0 7.175 * [taylor]: Taking taylor expansion of k in k 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.175 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.175 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.175 * [taylor]: Taking taylor expansion of 2.0 in k 7.175 * [backup-simplify]: Simplify 2.0 into 2.0 7.175 * [taylor]: Taking taylor expansion of PI in k 7.175 * [backup-simplify]: Simplify PI into PI 7.175 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.176 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.176 * [taylor]: Taking taylor expansion of (log n) in k 7.176 * [taylor]: Taking taylor expansion of n in k 7.176 * [backup-simplify]: Simplify n into n 7.176 * [backup-simplify]: Simplify (log n) into (log n) 7.176 * [backup-simplify]: Simplify (- 0) into 0 7.177 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.177 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 7.178 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 7.178 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 7.179 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.180 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.181 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 7.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.182 * [backup-simplify]: Simplify (- 0) into 0 7.182 * [backup-simplify]: Simplify (+ 0 0) into 0 7.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.184 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.184 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 7.185 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.185 * [taylor]: Taking taylor expansion of 0 in k 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.187 * [backup-simplify]: Simplify (+ 0 0) into 0 7.188 * [backup-simplify]: Simplify (- 1) into -1 7.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.189 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 7.190 * [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)))) 7.192 * [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)))))) 7.194 * [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)))))) 7.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.195 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.197 * [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 7.197 * [backup-simplify]: Simplify (- 0) into 0 7.197 * [backup-simplify]: Simplify (+ 0 0) into 0 7.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.198 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.199 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.200 * [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 7.201 * [taylor]: Taking taylor expansion of 0 in k 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.203 * [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 7.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.205 * [backup-simplify]: Simplify (+ 0 0) into 0 7.205 * [backup-simplify]: Simplify (- 0) into 0 7.205 * [backup-simplify]: Simplify (+ 0 0) into 0 7.206 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 7.210 * [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)))))) 7.213 * [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)))))) 7.225 * [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)))))) 7.225 * [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)))) 7.225 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.226 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.226 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.226 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.226 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.226 * [taylor]: Taking taylor expansion of 0.5 in k 7.226 * [backup-simplify]: Simplify 0.5 into 0.5 7.226 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.226 * [taylor]: Taking taylor expansion of 1.0 in k 7.226 * [backup-simplify]: Simplify 1.0 into 1.0 7.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.226 * [taylor]: Taking taylor expansion of k in k 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [backup-simplify]: Simplify (/ 1 1) into 1 7.226 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.226 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.226 * [taylor]: Taking taylor expansion of 2.0 in k 7.226 * [backup-simplify]: Simplify 2.0 into 2.0 7.226 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.226 * [taylor]: Taking taylor expansion of PI in k 7.226 * [backup-simplify]: Simplify PI into PI 7.226 * [taylor]: Taking taylor expansion of n in k 7.226 * [backup-simplify]: Simplify n into n 7.226 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.226 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.226 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.226 * [backup-simplify]: Simplify (- 1) into -1 7.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.227 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.227 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 7.227 * [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))))) 7.227 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.227 * [taylor]: Taking taylor expansion of 0.5 in n 7.227 * [backup-simplify]: Simplify 0.5 into 0.5 7.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.227 * [taylor]: Taking taylor expansion of 1.0 in n 7.227 * [backup-simplify]: Simplify 1.0 into 1.0 7.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.227 * [taylor]: Taking taylor expansion of k in n 7.227 * [backup-simplify]: Simplify k into k 7.227 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.227 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.227 * [taylor]: Taking taylor expansion of 2.0 in n 7.227 * [backup-simplify]: Simplify 2.0 into 2.0 7.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.228 * [taylor]: Taking taylor expansion of PI in n 7.228 * [backup-simplify]: Simplify PI into PI 7.228 * [taylor]: Taking taylor expansion of n in n 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (/ PI 1) into PI 7.228 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.229 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.229 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.229 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.229 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.231 * [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)))) 7.231 * [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))))) 7.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.231 * [taylor]: Taking taylor expansion of 0.5 in n 7.231 * [backup-simplify]: Simplify 0.5 into 0.5 7.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.231 * [taylor]: Taking taylor expansion of 1.0 in n 7.231 * [backup-simplify]: Simplify 1.0 into 1.0 7.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.232 * [taylor]: Taking taylor expansion of k in n 7.232 * [backup-simplify]: Simplify k into k 7.232 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.232 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.232 * [taylor]: Taking taylor expansion of 2.0 in n 7.232 * [backup-simplify]: Simplify 2.0 into 2.0 7.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.232 * [taylor]: Taking taylor expansion of PI in n 7.232 * [backup-simplify]: Simplify PI into PI 7.232 * [taylor]: Taking taylor expansion of n in n 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ PI 1) into PI 7.232 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.233 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.233 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.233 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.233 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.235 * [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)))) 7.235 * [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))))) 7.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 7.235 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 7.235 * [taylor]: Taking taylor expansion of 0.5 in k 7.235 * [backup-simplify]: Simplify 0.5 into 0.5 7.235 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 7.235 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.236 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.236 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.236 * [taylor]: Taking taylor expansion of 2.0 in k 7.236 * [backup-simplify]: Simplify 2.0 into 2.0 7.236 * [taylor]: Taking taylor expansion of PI in k 7.236 * [backup-simplify]: Simplify PI into PI 7.236 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.236 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.236 * [taylor]: Taking taylor expansion of (log n) in k 7.236 * [taylor]: Taking taylor expansion of n in k 7.237 * [backup-simplify]: Simplify n into n 7.237 * [backup-simplify]: Simplify (log n) into (log n) 7.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.237 * [taylor]: Taking taylor expansion of 1.0 in k 7.237 * [backup-simplify]: Simplify 1.0 into 1.0 7.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.237 * [taylor]: Taking taylor expansion of k in k 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [backup-simplify]: Simplify (/ 1 1) into 1 7.237 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.238 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 7.238 * [backup-simplify]: Simplify (- 1) into -1 7.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.239 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 7.239 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 7.240 * [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))))) 7.241 * [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))))) 7.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.242 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.243 * [backup-simplify]: Simplify (- 0) into 0 7.243 * [backup-simplify]: Simplify (+ 0 0) into 0 7.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.245 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 7.246 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.246 * [taylor]: Taking taylor expansion of 0 in k 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.247 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.249 * [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 7.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.249 * [backup-simplify]: Simplify (- 0) into 0 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.251 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.252 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 7.253 * [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 7.253 * [taylor]: Taking taylor expansion of 0 in k 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.258 * [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 7.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.258 * [backup-simplify]: Simplify (- 0) into 0 7.258 * [backup-simplify]: Simplify (+ 0 0) into 0 7.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.261 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 7.262 * [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 7.262 * [taylor]: Taking taylor expansion of 0 in k 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.263 * [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)))) 7.264 * [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))) 7.264 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.264 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.264 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.264 * [taylor]: Taking taylor expansion of 0.5 in k 7.264 * [backup-simplify]: Simplify 0.5 into 0.5 7.264 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.264 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.264 * [taylor]: Taking taylor expansion of k in k 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (/ 1 1) into 1 7.264 * [taylor]: Taking taylor expansion of 1.0 in k 7.264 * [backup-simplify]: Simplify 1.0 into 1.0 7.264 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.264 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.264 * [taylor]: Taking taylor expansion of -2.0 in k 7.264 * [backup-simplify]: Simplify -2.0 into -2.0 7.264 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.264 * [taylor]: Taking taylor expansion of PI in k 7.264 * [backup-simplify]: Simplify PI into PI 7.264 * [taylor]: Taking taylor expansion of n in k 7.264 * [backup-simplify]: Simplify n into n 7.264 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.264 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 7.264 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 7.265 * [backup-simplify]: Simplify (+ 1 0) into 1 7.265 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.265 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 7.265 * [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)))))) 7.265 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.265 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.265 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.265 * [taylor]: Taking taylor expansion of 0.5 in n 7.265 * [backup-simplify]: Simplify 0.5 into 0.5 7.265 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.265 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.265 * [taylor]: Taking taylor expansion of k in n 7.265 * [backup-simplify]: Simplify k into k 7.265 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.265 * [taylor]: Taking taylor expansion of 1.0 in n 7.265 * [backup-simplify]: Simplify 1.0 into 1.0 7.265 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.265 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.265 * [taylor]: Taking taylor expansion of -2.0 in n 7.265 * [backup-simplify]: Simplify -2.0 into -2.0 7.265 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.266 * [taylor]: Taking taylor expansion of PI in n 7.266 * [backup-simplify]: Simplify PI into PI 7.266 * [taylor]: Taking taylor expansion of n in n 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (/ PI 1) into PI 7.266 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.267 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.267 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.267 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.268 * [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)))) 7.269 * [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))))) 7.269 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.269 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.269 * [taylor]: Taking taylor expansion of 0.5 in n 7.269 * [backup-simplify]: Simplify 0.5 into 0.5 7.269 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.269 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.269 * [taylor]: Taking taylor expansion of k in n 7.269 * [backup-simplify]: Simplify k into k 7.269 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.269 * [taylor]: Taking taylor expansion of 1.0 in n 7.269 * [backup-simplify]: Simplify 1.0 into 1.0 7.269 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.269 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.269 * [taylor]: Taking taylor expansion of -2.0 in n 7.269 * [backup-simplify]: Simplify -2.0 into -2.0 7.269 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.269 * [taylor]: Taking taylor expansion of PI in n 7.269 * [backup-simplify]: Simplify PI into PI 7.269 * [taylor]: Taking taylor expansion of n in n 7.269 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify 1 into 1 7.270 * [backup-simplify]: Simplify (/ PI 1) into PI 7.270 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.271 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.271 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.271 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.272 * [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)))) 7.273 * [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))))) 7.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 7.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 7.273 * [taylor]: Taking taylor expansion of 0.5 in k 7.273 * [backup-simplify]: Simplify 0.5 into 0.5 7.273 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 7.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.273 * [taylor]: Taking taylor expansion of k in k 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.274 * [taylor]: Taking taylor expansion of 1.0 in k 7.274 * [backup-simplify]: Simplify 1.0 into 1.0 7.274 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.274 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.274 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.274 * [taylor]: Taking taylor expansion of -2.0 in k 7.274 * [backup-simplify]: Simplify -2.0 into -2.0 7.274 * [taylor]: Taking taylor expansion of PI in k 7.274 * [backup-simplify]: Simplify PI into PI 7.274 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.275 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.275 * [taylor]: Taking taylor expansion of (log n) in k 7.275 * [taylor]: Taking taylor expansion of n in k 7.275 * [backup-simplify]: Simplify n into n 7.275 * [backup-simplify]: Simplify (log n) into (log n) 7.275 * [backup-simplify]: Simplify (+ 1 0) into 1 7.275 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.276 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 7.276 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 7.277 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 7.278 * [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))))) 7.278 * [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))))) 7.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.279 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 7.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.281 * [backup-simplify]: Simplify (+ 0 0) into 0 7.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.283 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 7.284 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.284 * [taylor]: Taking taylor expansion of 0 in k 7.284 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.286 * [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 7.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.287 * [backup-simplify]: Simplify (+ 0 0) into 0 7.287 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.288 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.289 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 7.290 * [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 7.291 * [taylor]: Taking taylor expansion of 0 in k 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.292 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.295 * [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 7.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.295 * [backup-simplify]: Simplify (+ 0 0) into 0 7.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.298 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 7.299 * [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 7.300 * [taylor]: Taking taylor expansion of 0 in k 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [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)))))) 7.300 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.301 * [backup-simplify]: Simplify (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) into (* 1.0 (sqrt (/ 1 k))) 7.301 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.301 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.301 * [taylor]: Taking taylor expansion of 1.0 in k 7.301 * [backup-simplify]: Simplify 1.0 into 1.0 7.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.301 * [taylor]: Taking taylor expansion of k in k 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (/ 1 1) into 1 7.301 * [backup-simplify]: Simplify (sqrt 0) into 0 7.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.302 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.302 * [taylor]: Taking taylor expansion of 1.0 in k 7.302 * [backup-simplify]: Simplify 1.0 into 1.0 7.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.302 * [taylor]: Taking taylor expansion of k in k 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify (/ 1 1) into 1 7.303 * [backup-simplify]: Simplify (sqrt 0) into 0 7.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.304 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.304 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.305 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.307 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.308 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.308 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.318 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.318 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.319 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 7.319 * [backup-simplify]: Simplify (* (/ 1 (sqrt (sqrt (/ 1 k)))) (/ 1.0 (sqrt (sqrt (/ 1 k))))) into (* 1.0 (sqrt k)) 7.319 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.319 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.319 * [taylor]: Taking taylor expansion of 1.0 in k 7.319 * [backup-simplify]: Simplify 1.0 into 1.0 7.319 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.319 * [taylor]: Taking taylor expansion of k in k 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 1 into 1 7.320 * [backup-simplify]: Simplify (sqrt 0) into 0 7.320 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.320 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.320 * [taylor]: Taking taylor expansion of 1.0 in k 7.320 * [backup-simplify]: Simplify 1.0 into 1.0 7.320 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.320 * [taylor]: Taking taylor expansion of k in k 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (sqrt 0) into 0 7.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.322 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.323 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.325 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.326 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.326 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.329 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.329 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.331 * [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)))))))) 7.331 * [backup-simplify]: Simplify (* (/ 1 (sqrt (sqrt (/ 1 (- k))))) (/ 1.0 (sqrt (sqrt (/ 1 (- k)))))) into (/ 1.0 (sqrt (/ -1 k))) 7.331 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.331 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.331 * [taylor]: Taking taylor expansion of 1.0 in k 7.331 * [backup-simplify]: Simplify 1.0 into 1.0 7.331 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.331 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.331 * [taylor]: Taking taylor expansion of -1 in k 7.331 * [backup-simplify]: Simplify -1 into -1 7.331 * [taylor]: Taking taylor expansion of k in k 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (/ -1 1) into -1 7.331 * [backup-simplify]: Simplify (sqrt 0) into 0 7.332 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.333 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.333 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.333 * [taylor]: Taking taylor expansion of 1.0 in k 7.333 * [backup-simplify]: Simplify 1.0 into 1.0 7.333 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.333 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.333 * [taylor]: Taking taylor expansion of -1 in k 7.333 * [backup-simplify]: Simplify -1 into -1 7.333 * [taylor]: Taking taylor expansion of k in k 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (/ -1 1) into -1 7.333 * [backup-simplify]: Simplify (sqrt 0) into 0 7.334 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.334 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.334 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.338 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.338 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.343 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.343 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.344 * [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))))) 7.344 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.344 * [backup-simplify]: Simplify (/ 1 (sqrt (sqrt k))) into (pow (/ 1 k) 1/4) 7.344 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 7.344 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.344 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.344 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.344 * [taylor]: Taking taylor expansion of 1/4 in k 7.345 * [backup-simplify]: Simplify 1/4 into 1/4 7.345 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.345 * [taylor]: Taking taylor expansion of k in k 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [backup-simplify]: Simplify (/ 1 1) into 1 7.345 * [backup-simplify]: Simplify (log 1) into 0 7.345 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.345 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.345 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.345 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.345 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.346 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.346 * [taylor]: Taking taylor expansion of 1/4 in k 7.346 * [backup-simplify]: Simplify 1/4 into 1/4 7.346 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.346 * [taylor]: Taking taylor expansion of k in k 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 1 into 1 7.346 * [backup-simplify]: Simplify (/ 1 1) into 1 7.346 * [backup-simplify]: Simplify (log 1) into 0 7.346 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.346 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.346 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.347 * [backup-simplify]: Simplify (pow k -1/4) into (pow k -1/4) 7.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.348 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.348 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 7.349 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.351 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 7.352 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.352 * [backup-simplify]: Simplify 0 into 0 7.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.355 * [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 7.356 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.356 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 7.357 * [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 7.357 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.363 * [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 7.363 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.364 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 7.366 * [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 7.366 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.375 * [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 7.375 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.376 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 7.378 * [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 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [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 7.401 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 7.406 * [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 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify (pow k -1/4) into (pow k -1/4) 7.406 * [backup-simplify]: Simplify (/ 1 (sqrt (sqrt (/ 1 k)))) into (pow k 1/4) 7.406 * [approximate]: Taking taylor expansion of (pow k 1/4) in (k) around 0 7.406 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.406 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.406 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.406 * [taylor]: Taking taylor expansion of 1/4 in k 7.406 * [backup-simplify]: Simplify 1/4 into 1/4 7.407 * [taylor]: Taking taylor expansion of (log k) in k 7.407 * [taylor]: Taking taylor expansion of k in k 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (log 1) into 0 7.407 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.407 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.407 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.407 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.407 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.407 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.407 * [taylor]: Taking taylor expansion of 1/4 in k 7.407 * [backup-simplify]: Simplify 1/4 into 1/4 7.407 * [taylor]: Taking taylor expansion of (log k) in k 7.407 * [taylor]: Taking taylor expansion of k in k 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.408 * [backup-simplify]: Simplify (log 1) into 0 7.408 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.408 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.408 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.408 * [backup-simplify]: Simplify (pow k 1/4) into (pow k 1/4) 7.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.409 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.409 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 7.410 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.410 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.412 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.412 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 7.413 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.415 * [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 7.416 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.416 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 7.417 * [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 7.417 * [backup-simplify]: Simplify 0 into 0 7.422 * [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 7.423 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.424 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 7.425 * [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 7.425 * [backup-simplify]: Simplify 0 into 0 7.434 * [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 7.434 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 7.438 * [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 7.438 * [backup-simplify]: Simplify 0 into 0 7.452 * [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 7.453 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 7.457 * [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 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (pow (/ 1 k) 1/4) into (pow (/ 1 k) 1/4) 7.457 * [backup-simplify]: Simplify (/ 1 (sqrt (sqrt (/ 1 (- k))))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 7.457 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in (k) around 0 7.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 7.457 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 7.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.457 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.457 * [taylor]: Taking taylor expansion of -1 in k 7.457 * [backup-simplify]: Simplify -1 into -1 7.457 * [taylor]: Taking taylor expansion of k in k 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.458 * [backup-simplify]: Simplify (/ -1 1) into -1 7.458 * [backup-simplify]: Simplify (sqrt 0) into 0 7.459 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.459 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.459 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.462 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.464 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 7.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 7.464 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 7.464 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.464 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.464 * [taylor]: Taking taylor expansion of -1 in k 7.464 * [backup-simplify]: Simplify -1 into -1 7.464 * [taylor]: Taking taylor expansion of k in k 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (/ -1 1) into -1 7.464 * [backup-simplify]: Simplify (sqrt 0) into 0 7.465 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.465 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.465 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.468 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.470 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 7.470 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.470 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 7.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.475 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.478 * [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))) 7.488 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 7.493 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- k)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- k))) (sqrt +nan.0))) into (- (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))))))))) 7.493 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 7.493 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 7.493 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 7.493 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.493 * [taylor]: Taking taylor expansion of 1.0 in k 7.493 * [backup-simplify]: Simplify 1.0 into 1.0 7.493 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.493 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.493 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.493 * [taylor]: Taking taylor expansion of 1/4 in k 7.493 * [backup-simplify]: Simplify 1/4 into 1/4 7.493 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.493 * [taylor]: Taking taylor expansion of k in k 7.493 * [backup-simplify]: Simplify 0 into 0 7.493 * [backup-simplify]: Simplify 1 into 1 7.494 * [backup-simplify]: Simplify (/ 1 1) into 1 7.494 * [backup-simplify]: Simplify (log 1) into 0 7.494 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.494 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.494 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.494 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.494 * [taylor]: Taking taylor expansion of 1.0 in k 7.494 * [backup-simplify]: Simplify 1.0 into 1.0 7.494 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.494 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.494 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.494 * [taylor]: Taking taylor expansion of 1/4 in k 7.494 * [backup-simplify]: Simplify 1/4 into 1/4 7.494 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.494 * [taylor]: Taking taylor expansion of k in k 7.494 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify 1 into 1 7.495 * [backup-simplify]: Simplify (/ 1 1) into 1 7.495 * [backup-simplify]: Simplify (log 1) into 0 7.495 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.495 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.495 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.495 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.495 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.497 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 7.498 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 7.498 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.500 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.501 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 7.501 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.502 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.505 * [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 7.505 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 7.507 * [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 7.508 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 7.508 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.515 * [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 7.515 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 7.517 * [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 7.518 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [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 7.527 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 7.530 * [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 7.532 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.546 * [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 7.547 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 7.551 * [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 7.552 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.553 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 7.553 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 7.553 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.553 * [taylor]: Taking taylor expansion of 1.0 in k 7.553 * [backup-simplify]: Simplify 1.0 into 1.0 7.553 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.553 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.553 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.553 * [taylor]: Taking taylor expansion of 1/4 in k 7.553 * [backup-simplify]: Simplify 1/4 into 1/4 7.553 * [taylor]: Taking taylor expansion of (log k) in k 7.553 * [taylor]: Taking taylor expansion of k in k 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (log 1) into 0 7.553 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.553 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.553 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.553 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.553 * [taylor]: Taking taylor expansion of 1.0 in k 7.553 * [backup-simplify]: Simplify 1.0 into 1.0 7.553 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.553 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.553 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.553 * [taylor]: Taking taylor expansion of 1/4 in k 7.553 * [backup-simplify]: Simplify 1/4 into 1/4 7.554 * [taylor]: Taking taylor expansion of (log k) in k 7.554 * [taylor]: Taking taylor expansion of k in k 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (log 1) into 0 7.554 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.554 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.554 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.554 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 7.554 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 7.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.555 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 7.556 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.556 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.558 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 7.559 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.560 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 7.560 * [backup-simplify]: Simplify 0 into 0 7.562 * [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 7.563 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 7.571 * [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 7.572 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.577 * [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 7.578 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 7.580 * [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 7.581 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 7.581 * [backup-simplify]: Simplify 0 into 0 7.589 * [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 7.589 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.590 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 7.593 * [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 7.594 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 7.594 * [backup-simplify]: Simplify 0 into 0 7.608 * [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 7.609 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 7.613 * [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 7.614 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.614 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 7.614 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 7.614 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 7.614 * [taylor]: Taking taylor expansion of 1.0 in k 7.614 * [backup-simplify]: Simplify 1.0 into 1.0 7.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 7.614 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 7.614 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.614 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.614 * [taylor]: Taking taylor expansion of -1 in k 7.614 * [backup-simplify]: Simplify -1 into -1 7.614 * [taylor]: Taking taylor expansion of k in k 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 1 into 1 7.615 * [backup-simplify]: Simplify (/ -1 1) into -1 7.615 * [backup-simplify]: Simplify (sqrt 0) into 0 7.616 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.616 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.616 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.618 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.619 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.620 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 7.620 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 7.621 * [taylor]: Taking taylor expansion of 1.0 in k 7.621 * [backup-simplify]: Simplify 1.0 into 1.0 7.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 7.621 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 7.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.621 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.621 * [taylor]: Taking taylor expansion of -1 in k 7.621 * [backup-simplify]: Simplify -1 into -1 7.621 * [taylor]: Taking taylor expansion of k in k 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (/ -1 1) into -1 7.621 * [backup-simplify]: Simplify (sqrt 0) into 0 7.622 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.622 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.622 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.626 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.627 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 7.627 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 7.628 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 7.630 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 7.631 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 7.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.635 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.638 * [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))) 7.645 * [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)))))) 7.656 * [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)))))) 7.663 * [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))))))))) 7.663 * * * [progress]: simplifying candidates 7.667 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (log1p (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (+ (- (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (- 0 (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- 0 (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (- (log 1) (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- (log 1) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (log (/ 1 (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (log (/ 1 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (log (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (exp (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))))) (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* 1 1.0) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) 1)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 1)) (* (/ 1 (sqrt (sqrt k))) 1) (* (/ 1 (sqrt (sqrt k))) 1.0) (* (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (cbrt 1) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) 1.0) (* 1 (/ 1.0 (sqrt (sqrt k)))) (expm1 (/ 1 (sqrt (sqrt k)))) (log1p (/ 1 (sqrt (sqrt k)))) (- 1/2) (- 1) (- (/ 1/2 2)) (- (/ 1 2)) (- (/ (/ 1 2) 2)) (- (log (sqrt (sqrt k)))) (- 0 (log (sqrt (sqrt k)))) (- (log 1) (log (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (- 1) (- (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (/ (cbrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt 1))) (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (sqrt (sqrt k)) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt 1)) (/ (sqrt (sqrt k)) 1) (expm1 (/ 1.0 (sqrt (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (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)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (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)) (sqrt (sqrt 1))) (/ (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)) (sqrt 1)) (/ (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)) 1) (/ (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) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (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 (sqrt 1))) (/ (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)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 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 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (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)))))) (- (+ (* +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))))) (pow k -1/4) (pow (/ 1 k) 1/4) (- (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))))))))) (* 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))))))))) 7.674 * * [simplify]: Extracting # 0 : cost 0 7.674 * * [simplify]: Extracting # 1 : cost 0 7.674 * * [simplify]: Extracting # 2 : cost 0 7.675 * * [simplify]: Extracting # 3 : cost 0 7.675 * * [simplify]: Extracting # 4 : cost 0 7.676 * * [simplify]: Extracting # 5 : cost 0 7.677 * * [simplify]: Extracting # 6 : cost 0 7.677 * * [simplify]: Extracting # 7 : cost 0 7.678 * * [simplify]: Extracting # 8 : cost 0 7.678 * * [simplify]: Extracting # 9 : cost 0 7.679 * * [simplify]: Extracting # 10 : cost 0 7.679 * * [simplify]: Extracting # 11 : cost 0 7.680 * * [simplify]: Extracting # 12 : cost 0 7.681 * * [simplify]: Extracting # 13 : cost 0 7.681 * * [simplify]: Extracting # 14 : cost 0 7.682 * * [simplify]: Extracting # 15 : cost 0 7.682 * * [simplify]: iteration 0 : 382 enodes (cost 4064 ) 7.821 * * [simplify]: Extracting # 0 : cost 0 7.823 * * [simplify]: Extracting # 1 : cost 0 7.824 * * [simplify]: Extracting # 2 : cost 0 7.825 * * [simplify]: Extracting # 3 : cost 0 7.826 * * [simplify]: Extracting # 4 : cost 0 7.827 * * [simplify]: iteration 1 : 961 enodes (cost 3506 ) 8.155 * * [simplify]: Extracting # 0 : cost 0 8.159 * * [simplify]: Extracting # 1 : cost 0 8.166 * * [simplify]: Extracting # 2 : cost 0 8.169 * * [simplify]: Extracting # 3 : cost 0 8.171 * * [simplify]: Extracting # 4 : cost 0 8.174 * * [simplify]: iteration 2 : 2634 enodes (cost 3036 ) 8.804 * * [simplify]: Extracting # 0 : cost 0 8.810 * * [simplify]: Extracting # 1 : cost 0 8.816 * * [simplify]: Extracting # 2 : cost 0 8.821 * * [simplify]: Extracting # 3 : cost 0 8.827 * * [simplify]: Extracting # 4 : cost 0 8.832 * * [simplify]: iteration done: 5000 enodes (cost 3031 ) 8.834 * [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))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 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 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (pow (/ 1.0 (sqrt k)) 3) (pow (/ 1.0 (sqrt k)) 3) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) 1.0 (sqrt k) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (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 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (* (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (expm1 (/ 1 (sqrt (sqrt k)))) (log1p (/ 1 (sqrt (sqrt k)))) -1/2 -1 -1/4 -1/2 -1/4 (- (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) -1 (- (sqrt (sqrt k))) (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)) (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (sqrt (sqrt k)) (sqrt (sqrt k)) (sqrt (sqrt k)) (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) (sqrt (sqrt (sqrt k)))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt 1.0)) (/ (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 (* 0.125 (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 (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (log n) (pow k 2))) (pow (* (* 2.0 PI) n) 0.5))) (* (* 0.5 k) (fma (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)) (* (pow (* (* 2.0 PI) n) 0.5) (log 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)))))) (fma +nan.0 (- k) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (pow k -1/4) (pow (/ 1 k) 1/4) (+ (- (sqrt +nan.0) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (* 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)))) 8.836 * * * [progress]: adding candidates to table 9.420 * * [progress]: iteration 4 / 4 9.420 * * * [progress]: picking best candidate 9.441 * * * * [pick]: Picked # 9.442 * * * [progress]: localizing error 9.472 * * * [progress]: generating rewritten candidates 9.472 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.502 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 9.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 9.504 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.718 * * * [progress]: generating series expansions 9.718 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.719 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 9.719 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 9.719 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.719 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.719 * [taylor]: Taking taylor expansion of 0.5 in k 9.719 * [backup-simplify]: Simplify 0.5 into 0.5 9.719 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.719 * [taylor]: Taking taylor expansion of 1.0 in k 9.719 * [backup-simplify]: Simplify 1.0 into 1.0 9.719 * [taylor]: Taking taylor expansion of k in k 9.719 * [backup-simplify]: Simplify 0 into 0 9.719 * [backup-simplify]: Simplify 1 into 1 9.719 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.719 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.719 * [taylor]: Taking taylor expansion of 2.0 in k 9.719 * [backup-simplify]: Simplify 2.0 into 2.0 9.719 * [taylor]: Taking taylor expansion of (* n PI) in k 9.719 * [taylor]: Taking taylor expansion of n in k 9.719 * [backup-simplify]: Simplify n into n 9.719 * [taylor]: Taking taylor expansion of PI in k 9.719 * [backup-simplify]: Simplify PI into PI 9.719 * [backup-simplify]: Simplify (* n PI) into (* n PI) 9.719 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 9.719 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 9.720 * [backup-simplify]: Simplify (- 0) into 0 9.720 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.720 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.720 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 9.720 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 9.720 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.720 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.720 * [taylor]: Taking taylor expansion of 0.5 in n 9.720 * [backup-simplify]: Simplify 0.5 into 0.5 9.720 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.720 * [taylor]: Taking taylor expansion of 1.0 in n 9.721 * [backup-simplify]: Simplify 1.0 into 1.0 9.721 * [taylor]: Taking taylor expansion of k in n 9.721 * [backup-simplify]: Simplify k into k 9.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.721 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.721 * [taylor]: Taking taylor expansion of 2.0 in n 9.721 * [backup-simplify]: Simplify 2.0 into 2.0 9.721 * [taylor]: Taking taylor expansion of (* n PI) in n 9.721 * [taylor]: Taking taylor expansion of n in n 9.721 * [backup-simplify]: Simplify 0 into 0 9.721 * [backup-simplify]: Simplify 1 into 1 9.721 * [taylor]: Taking taylor expansion of PI in n 9.721 * [backup-simplify]: Simplify PI into PI 9.721 * [backup-simplify]: Simplify (* 0 PI) into 0 9.721 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.723 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.724 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.724 * [backup-simplify]: Simplify (- k) into (- k) 9.724 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.724 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.725 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.725 * [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)))) 9.726 * [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))))) 9.726 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.726 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.726 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.726 * [taylor]: Taking taylor expansion of 0.5 in n 9.726 * [backup-simplify]: Simplify 0.5 into 0.5 9.726 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.726 * [taylor]: Taking taylor expansion of 1.0 in n 9.726 * [backup-simplify]: Simplify 1.0 into 1.0 9.726 * [taylor]: Taking taylor expansion of k in n 9.726 * [backup-simplify]: Simplify k into k 9.726 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.726 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.726 * [taylor]: Taking taylor expansion of 2.0 in n 9.726 * [backup-simplify]: Simplify 2.0 into 2.0 9.726 * [taylor]: Taking taylor expansion of (* n PI) in n 9.726 * [taylor]: Taking taylor expansion of n in n 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [taylor]: Taking taylor expansion of PI in n 9.726 * [backup-simplify]: Simplify PI into PI 9.727 * [backup-simplify]: Simplify (* 0 PI) into 0 9.727 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.728 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.729 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.729 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.729 * [backup-simplify]: Simplify (- k) into (- k) 9.729 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.729 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.731 * [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)))) 9.732 * [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))))) 9.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 9.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 9.732 * [taylor]: Taking taylor expansion of 0.5 in k 9.732 * [backup-simplify]: Simplify 0.5 into 0.5 9.732 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 9.732 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.732 * [taylor]: Taking taylor expansion of 1.0 in k 9.732 * [backup-simplify]: Simplify 1.0 into 1.0 9.732 * [taylor]: Taking taylor expansion of k in k 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.732 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.732 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.732 * [taylor]: Taking taylor expansion of 2.0 in k 9.732 * [backup-simplify]: Simplify 2.0 into 2.0 9.732 * [taylor]: Taking taylor expansion of PI in k 9.732 * [backup-simplify]: Simplify PI into PI 9.732 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.733 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.733 * [taylor]: Taking taylor expansion of (log n) in k 9.733 * [taylor]: Taking taylor expansion of n in k 9.733 * [backup-simplify]: Simplify n into n 9.733 * [backup-simplify]: Simplify (log n) into (log n) 9.733 * [backup-simplify]: Simplify (- 0) into 0 9.734 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.734 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 9.735 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 9.735 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 9.736 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 9.737 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 9.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.738 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.739 * [backup-simplify]: Simplify (- 0) into 0 9.739 * [backup-simplify]: Simplify (+ 0 0) into 0 9.740 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 9.740 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.741 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 9.742 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.742 * [taylor]: Taking taylor expansion of 0 in k 9.742 * [backup-simplify]: Simplify 0 into 0 9.742 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.744 * [backup-simplify]: Simplify (+ 0 0) into 0 9.745 * [backup-simplify]: Simplify (- 1) into -1 9.745 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.746 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 9.747 * [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)))) 9.749 * [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)))))) 9.751 * [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)))))) 9.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.754 * [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 9.754 * [backup-simplify]: Simplify (- 0) into 0 9.755 * [backup-simplify]: Simplify (+ 0 0) into 0 9.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.756 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.757 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.759 * [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 9.759 * [taylor]: Taking taylor expansion of 0 in k 9.759 * [backup-simplify]: Simplify 0 into 0 9.759 * [backup-simplify]: Simplify 0 into 0 9.759 * [backup-simplify]: Simplify 0 into 0 9.759 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.761 * [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 9.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.762 * [backup-simplify]: Simplify (+ 0 0) into 0 9.763 * [backup-simplify]: Simplify (- 0) into 0 9.763 * [backup-simplify]: Simplify (+ 0 0) into 0 9.764 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 9.768 * [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)))))) 9.771 * [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)))))) 9.776 * [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)))))) 9.777 * [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)))) 9.777 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.777 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.777 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.777 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.777 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.777 * [taylor]: Taking taylor expansion of 0.5 in k 9.777 * [backup-simplify]: Simplify 0.5 into 0.5 9.777 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.777 * [taylor]: Taking taylor expansion of 1.0 in k 9.777 * [backup-simplify]: Simplify 1.0 into 1.0 9.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.777 * [taylor]: Taking taylor expansion of k in k 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify 1 into 1 9.778 * [backup-simplify]: Simplify (/ 1 1) into 1 9.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.778 * [taylor]: Taking taylor expansion of 2.0 in k 9.778 * [backup-simplify]: Simplify 2.0 into 2.0 9.778 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.778 * [taylor]: Taking taylor expansion of PI in k 9.778 * [backup-simplify]: Simplify PI into PI 9.778 * [taylor]: Taking taylor expansion of n in k 9.778 * [backup-simplify]: Simplify n into n 9.778 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.778 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.778 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.778 * [backup-simplify]: Simplify (- 1) into -1 9.778 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.779 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.779 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.779 * [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))))) 9.779 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.779 * [taylor]: Taking taylor expansion of 0.5 in n 9.779 * [backup-simplify]: Simplify 0.5 into 0.5 9.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.779 * [taylor]: Taking taylor expansion of 1.0 in n 9.779 * [backup-simplify]: Simplify 1.0 into 1.0 9.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.779 * [taylor]: Taking taylor expansion of k in n 9.779 * [backup-simplify]: Simplify k into k 9.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.779 * [taylor]: Taking taylor expansion of 2.0 in n 9.779 * [backup-simplify]: Simplify 2.0 into 2.0 9.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.779 * [taylor]: Taking taylor expansion of PI in n 9.779 * [backup-simplify]: Simplify PI into PI 9.779 * [taylor]: Taking taylor expansion of n in n 9.779 * [backup-simplify]: Simplify 0 into 0 9.779 * [backup-simplify]: Simplify 1 into 1 9.780 * [backup-simplify]: Simplify (/ PI 1) into PI 9.780 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.780 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.781 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.781 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.782 * [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)))) 9.783 * [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))))) 9.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.783 * [taylor]: Taking taylor expansion of 0.5 in n 9.783 * [backup-simplify]: Simplify 0.5 into 0.5 9.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.783 * [taylor]: Taking taylor expansion of 1.0 in n 9.783 * [backup-simplify]: Simplify 1.0 into 1.0 9.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.783 * [taylor]: Taking taylor expansion of k in n 9.783 * [backup-simplify]: Simplify k into k 9.783 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.783 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.783 * [taylor]: Taking taylor expansion of 2.0 in n 9.783 * [backup-simplify]: Simplify 2.0 into 2.0 9.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.783 * [taylor]: Taking taylor expansion of PI in n 9.783 * [backup-simplify]: Simplify PI into PI 9.783 * [taylor]: Taking taylor expansion of n in n 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [backup-simplify]: Simplify (/ PI 1) into PI 9.784 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.784 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.784 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.785 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.785 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.786 * [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)))) 9.787 * [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))))) 9.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 9.787 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 9.787 * [taylor]: Taking taylor expansion of 0.5 in k 9.787 * [backup-simplify]: Simplify 0.5 into 0.5 9.787 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 9.787 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.787 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.787 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.787 * [taylor]: Taking taylor expansion of 2.0 in k 9.787 * [backup-simplify]: Simplify 2.0 into 2.0 9.787 * [taylor]: Taking taylor expansion of PI in k 9.787 * [backup-simplify]: Simplify PI into PI 9.787 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.788 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.788 * [taylor]: Taking taylor expansion of (log n) in k 9.788 * [taylor]: Taking taylor expansion of n in k 9.788 * [backup-simplify]: Simplify n into n 9.788 * [backup-simplify]: Simplify (log n) into (log n) 9.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.788 * [taylor]: Taking taylor expansion of 1.0 in k 9.788 * [backup-simplify]: Simplify 1.0 into 1.0 9.788 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.788 * [taylor]: Taking taylor expansion of k in k 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (/ 1 1) into 1 9.788 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.789 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 9.789 * [backup-simplify]: Simplify (- 1) into -1 9.789 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.790 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 9.791 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 9.791 * [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))))) 9.792 * [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))))) 9.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.793 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.795 * [backup-simplify]: Simplify (- 0) into 0 9.795 * [backup-simplify]: Simplify (+ 0 0) into 0 9.795 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.797 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 9.798 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.798 * [taylor]: Taking taylor expansion of 0 in k 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.801 * [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 9.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.801 * [backup-simplify]: Simplify (- 0) into 0 9.801 * [backup-simplify]: Simplify (+ 0 0) into 0 9.802 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.803 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.804 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 9.805 * [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 9.805 * [taylor]: Taking taylor expansion of 0 in k 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 0 into 0 9.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.806 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.815 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 9.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.816 * [backup-simplify]: Simplify (- 0) into 0 9.816 * [backup-simplify]: Simplify (+ 0 0) into 0 9.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.818 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 9.820 * [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 9.820 * [taylor]: Taking taylor expansion of 0 in k 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 0 into 0 9.821 * [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)))) 9.821 * [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))) 9.821 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.821 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.821 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.821 * [taylor]: Taking taylor expansion of 0.5 in k 9.821 * [backup-simplify]: Simplify 0.5 into 0.5 9.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.821 * [taylor]: Taking taylor expansion of k in k 9.821 * [backup-simplify]: Simplify 0 into 0 9.821 * [backup-simplify]: Simplify 1 into 1 9.822 * [backup-simplify]: Simplify (/ 1 1) into 1 9.822 * [taylor]: Taking taylor expansion of 1.0 in k 9.822 * [backup-simplify]: Simplify 1.0 into 1.0 9.822 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.822 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.822 * [taylor]: Taking taylor expansion of -2.0 in k 9.822 * [backup-simplify]: Simplify -2.0 into -2.0 9.822 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.822 * [taylor]: Taking taylor expansion of PI in k 9.822 * [backup-simplify]: Simplify PI into PI 9.822 * [taylor]: Taking taylor expansion of n in k 9.822 * [backup-simplify]: Simplify n into n 9.822 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.822 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.822 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.822 * [backup-simplify]: Simplify (+ 1 0) into 1 9.823 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.823 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.823 * [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)))))) 9.823 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.823 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.823 * [taylor]: Taking taylor expansion of 0.5 in n 9.823 * [backup-simplify]: Simplify 0.5 into 0.5 9.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.823 * [taylor]: Taking taylor expansion of k in n 9.823 * [backup-simplify]: Simplify k into k 9.823 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.823 * [taylor]: Taking taylor expansion of 1.0 in n 9.823 * [backup-simplify]: Simplify 1.0 into 1.0 9.823 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.823 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.823 * [taylor]: Taking taylor expansion of -2.0 in n 9.823 * [backup-simplify]: Simplify -2.0 into -2.0 9.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.823 * [taylor]: Taking taylor expansion of PI in n 9.823 * [backup-simplify]: Simplify PI into PI 9.823 * [taylor]: Taking taylor expansion of n in n 9.823 * [backup-simplify]: Simplify 0 into 0 9.823 * [backup-simplify]: Simplify 1 into 1 9.823 * [backup-simplify]: Simplify (/ PI 1) into PI 9.824 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.824 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.824 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.824 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.826 * [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)))) 9.827 * [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))))) 9.827 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.827 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.827 * [taylor]: Taking taylor expansion of 0.5 in n 9.827 * [backup-simplify]: Simplify 0.5 into 0.5 9.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.827 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.827 * [taylor]: Taking taylor expansion of k in n 9.827 * [backup-simplify]: Simplify k into k 9.827 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.827 * [taylor]: Taking taylor expansion of 1.0 in n 9.827 * [backup-simplify]: Simplify 1.0 into 1.0 9.827 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.827 * [taylor]: Taking taylor expansion of -2.0 in n 9.827 * [backup-simplify]: Simplify -2.0 into -2.0 9.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.827 * [taylor]: Taking taylor expansion of PI in n 9.827 * [backup-simplify]: Simplify PI into PI 9.827 * [taylor]: Taking taylor expansion of n in n 9.827 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify 1 into 1 9.827 * [backup-simplify]: Simplify (/ PI 1) into PI 9.828 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.828 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.828 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.828 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.830 * [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)))) 9.831 * [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))))) 9.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 9.831 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 9.831 * [taylor]: Taking taylor expansion of 0.5 in k 9.831 * [backup-simplify]: Simplify 0.5 into 0.5 9.831 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 9.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.831 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.831 * [taylor]: Taking taylor expansion of k in k 9.831 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [backup-simplify]: Simplify (/ 1 1) into 1 9.831 * [taylor]: Taking taylor expansion of 1.0 in k 9.831 * [backup-simplify]: Simplify 1.0 into 1.0 9.831 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.831 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.831 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.831 * [taylor]: Taking taylor expansion of -2.0 in k 9.831 * [backup-simplify]: Simplify -2.0 into -2.0 9.831 * [taylor]: Taking taylor expansion of PI in k 9.831 * [backup-simplify]: Simplify PI into PI 9.832 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.832 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.832 * [taylor]: Taking taylor expansion of (log n) in k 9.832 * [taylor]: Taking taylor expansion of n in k 9.832 * [backup-simplify]: Simplify n into n 9.832 * [backup-simplify]: Simplify (log n) into (log n) 9.832 * [backup-simplify]: Simplify (+ 1 0) into 1 9.832 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.833 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 9.834 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 9.834 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 9.835 * [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))))) 9.836 * [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))))) 9.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.837 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.838 * [backup-simplify]: Simplify (+ 0 0) into 0 9.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.840 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.841 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.841 * [taylor]: Taking taylor expansion of 0 in k 9.841 * [backup-simplify]: Simplify 0 into 0 9.841 * [backup-simplify]: Simplify 0 into 0 9.841 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.842 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.844 * [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 9.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.845 * [backup-simplify]: Simplify (+ 0 0) into 0 9.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.847 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 9.848 * [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 9.848 * [taylor]: Taking taylor expansion of 0 in k 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.850 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.852 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 9.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.853 * [backup-simplify]: Simplify (+ 0 0) into 0 9.853 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.856 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 9.857 * [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 9.857 * [taylor]: Taking taylor expansion of 0 in k 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 0 into 0 9.858 * [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)))))) 9.858 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 9.858 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 9.858 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 9.858 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 9.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 9.858 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 9.858 * [taylor]: Taking taylor expansion of 1/3 in k 9.858 * [backup-simplify]: Simplify 1/3 into 1/3 9.858 * [taylor]: Taking taylor expansion of (log k) in k 9.858 * [taylor]: Taking taylor expansion of k in k 9.858 * [backup-simplify]: Simplify 0 into 0 9.858 * [backup-simplify]: Simplify 1 into 1 9.859 * [backup-simplify]: Simplify (log 1) into 0 9.859 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.859 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 9.859 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 9.859 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 9.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 9.859 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 9.859 * [taylor]: Taking taylor expansion of 1/3 in k 9.859 * [backup-simplify]: Simplify 1/3 into 1/3 9.859 * [taylor]: Taking taylor expansion of (log k) in k 9.859 * [taylor]: Taking taylor expansion of k in k 9.859 * [backup-simplify]: Simplify 0 into 0 9.859 * [backup-simplify]: Simplify 1 into 1 9.859 * [backup-simplify]: Simplify (log 1) into 0 9.860 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.860 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 9.860 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 9.860 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 9.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.861 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 9.862 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 9.862 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.863 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.864 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 9.864 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.864 * [backup-simplify]: Simplify 0 into 0 9.867 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.867 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 9.869 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.869 * [backup-simplify]: Simplify 0 into 0 9.874 * [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 9.875 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.875 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 9.877 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 9.877 * [backup-simplify]: Simplify 0 into 0 9.885 * [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 9.886 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 9.889 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 9.889 * [backup-simplify]: Simplify 0 into 0 9.910 * [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 9.910 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.912 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 9.914 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 9.914 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 9.915 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 9.915 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 9.915 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 9.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 9.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 9.915 * [taylor]: Taking taylor expansion of 1/3 in k 9.915 * [backup-simplify]: Simplify 1/3 into 1/3 9.915 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.915 * [taylor]: Taking taylor expansion of k in k 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 1 into 1 9.915 * [backup-simplify]: Simplify (/ 1 1) into 1 9.915 * [backup-simplify]: Simplify (log 1) into 0 9.916 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.916 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 9.916 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 9.916 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 9.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 9.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 9.916 * [taylor]: Taking taylor expansion of 1/3 in k 9.916 * [backup-simplify]: Simplify 1/3 into 1/3 9.916 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.916 * [taylor]: Taking taylor expansion of k in k 9.916 * [backup-simplify]: Simplify 0 into 0 9.916 * [backup-simplify]: Simplify 1 into 1 9.916 * [backup-simplify]: Simplify (/ 1 1) into 1 9.916 * [backup-simplify]: Simplify (log 1) into 0 9.917 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.917 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 9.917 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 9.917 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 9.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.918 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 9.919 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.921 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 9.922 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.922 * [backup-simplify]: Simplify 0 into 0 9.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.925 * [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 9.926 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.926 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 9.927 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.927 * [backup-simplify]: Simplify 0 into 0 9.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.933 * [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 9.933 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.934 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 9.935 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 9.935 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.944 * [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 9.945 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.946 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 9.948 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.963 * [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 9.964 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.965 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 9.968 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 9.968 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 9.968 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 9.968 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 9.968 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 9.968 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 9.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 9.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 9.968 * [taylor]: Taking taylor expansion of 1/3 in k 9.968 * [backup-simplify]: Simplify 1/3 into 1/3 9.968 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.968 * [taylor]: Taking taylor expansion of k in k 9.968 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify 1 into 1 9.969 * [backup-simplify]: Simplify (/ 1 1) into 1 9.969 * [backup-simplify]: Simplify (log 1) into 0 9.969 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.969 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 9.969 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 9.969 * [taylor]: Taking taylor expansion of (cbrt -1) in k 9.969 * [taylor]: Taking taylor expansion of -1 in k 9.969 * [backup-simplify]: Simplify -1 into -1 9.970 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.970 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.970 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 9.970 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 9.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 9.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 9.970 * [taylor]: Taking taylor expansion of 1/3 in k 9.970 * [backup-simplify]: Simplify 1/3 into 1/3 9.970 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.970 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.970 * [taylor]: Taking taylor expansion of k in k 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.970 * [backup-simplify]: Simplify (/ 1 1) into 1 9.971 * [backup-simplify]: Simplify (log 1) into 0 9.971 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.971 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 9.971 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 9.971 * [taylor]: Taking taylor expansion of (cbrt -1) in k 9.971 * [taylor]: Taking taylor expansion of -1 in k 9.971 * [backup-simplify]: Simplify -1 into -1 9.971 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.972 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.972 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 9.972 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 9.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.974 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 9.974 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 9.975 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 9.975 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.984 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.984 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 9.985 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.985 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 9.985 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.989 * [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 9.989 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 9.991 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.992 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 9.992 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.998 * [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 9.999 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 10.001 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.002 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.011 * [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 10.012 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 10.015 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.015 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 10.015 * [backup-simplify]: Simplify 0 into 0 10.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.031 * [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 10.031 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 10.036 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.037 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 10.037 * [backup-simplify]: Simplify 0 into 0 10.037 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 10.037 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 10.037 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 10.037 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 10.037 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 10.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 10.038 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 10.038 * [taylor]: Taking taylor expansion of 1/3 in k 10.038 * [backup-simplify]: Simplify 1/3 into 1/3 10.038 * [taylor]: Taking taylor expansion of (log k) in k 10.038 * [taylor]: Taking taylor expansion of k in k 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.038 * [backup-simplify]: Simplify (log 1) into 0 10.038 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.038 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 10.038 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 10.038 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 10.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 10.038 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 10.038 * [taylor]: Taking taylor expansion of 1/3 in k 10.038 * [backup-simplify]: Simplify 1/3 into 1/3 10.038 * [taylor]: Taking taylor expansion of (log k) in k 10.038 * [taylor]: Taking taylor expansion of k in k 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.039 * [backup-simplify]: Simplify (log 1) into 0 10.039 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.039 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 10.039 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 10.039 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 10.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.040 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 10.041 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.042 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 10.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.044 * [backup-simplify]: Simplify 0 into 0 10.046 * [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 10.046 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 10.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.048 * [backup-simplify]: Simplify 0 into 0 10.053 * [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 10.053 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.054 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 10.061 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 10.061 * [backup-simplify]: Simplify 0 into 0 10.070 * [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 10.070 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 10.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 10.073 * [backup-simplify]: Simplify 0 into 0 10.088 * [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 10.089 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 10.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 10.093 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 10.093 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 10.093 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 10.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 10.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 10.093 * [taylor]: Taking taylor expansion of 1/3 in k 10.093 * [backup-simplify]: Simplify 1/3 into 1/3 10.093 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.093 * [taylor]: Taking taylor expansion of k in k 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify 1 into 1 10.093 * [backup-simplify]: Simplify (/ 1 1) into 1 10.094 * [backup-simplify]: Simplify (log 1) into 0 10.094 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.094 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 10.094 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 10.094 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 10.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 10.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 10.094 * [taylor]: Taking taylor expansion of 1/3 in k 10.094 * [backup-simplify]: Simplify 1/3 into 1/3 10.094 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.094 * [taylor]: Taking taylor expansion of k in k 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 1 into 1 10.094 * [backup-simplify]: Simplify (/ 1 1) into 1 10.095 * [backup-simplify]: Simplify (log 1) into 0 10.095 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.095 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 10.095 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 10.095 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.096 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 10.097 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.099 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 10.100 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.103 * [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 10.104 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 10.105 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.105 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.111 * [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 10.111 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 10.113 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.113 * [backup-simplify]: Simplify 0 into 0 10.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.122 * [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 10.122 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 10.125 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.125 * [backup-simplify]: Simplify 0 into 0 10.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.146 * [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 10.147 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 10.151 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 10.151 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 10.151 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 10.151 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 10.151 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 10.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 10.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 10.151 * [taylor]: Taking taylor expansion of 1/3 in k 10.151 * [backup-simplify]: Simplify 1/3 into 1/3 10.151 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.151 * [taylor]: Taking taylor expansion of k in k 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [backup-simplify]: Simplify (/ 1 1) into 1 10.152 * [backup-simplify]: Simplify (log 1) into 0 10.152 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.152 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 10.152 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 10.152 * [taylor]: Taking taylor expansion of (cbrt -1) in k 10.152 * [taylor]: Taking taylor expansion of -1 in k 10.152 * [backup-simplify]: Simplify -1 into -1 10.152 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.153 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.153 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 10.153 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 10.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 10.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 10.153 * [taylor]: Taking taylor expansion of 1/3 in k 10.153 * [backup-simplify]: Simplify 1/3 into 1/3 10.153 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.153 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.153 * [taylor]: Taking taylor expansion of k in k 10.153 * [backup-simplify]: Simplify 0 into 0 10.153 * [backup-simplify]: Simplify 1 into 1 10.153 * [backup-simplify]: Simplify (/ 1 1) into 1 10.153 * [backup-simplify]: Simplify (log 1) into 0 10.154 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.154 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 10.154 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 10.154 * [taylor]: Taking taylor expansion of (cbrt -1) in k 10.154 * [taylor]: Taking taylor expansion of -1 in k 10.154 * [backup-simplify]: Simplify -1 into -1 10.154 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.154 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.155 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 10.155 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 10.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.157 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 10.157 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 10.158 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 10.158 * [backup-simplify]: Simplify 0 into 0 10.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.161 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.161 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 10.162 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.163 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.166 * [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 10.166 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 10.168 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.169 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 10.169 * [backup-simplify]: Simplify 0 into 0 10.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.175 * [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 10.176 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.176 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 10.178 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.178 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 10.178 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.188 * [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 10.188 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.189 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 10.191 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.192 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 10.192 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.208 * [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 10.208 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.209 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 10.219 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.220 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 10.220 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 10.221 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.222 * [backup-simplify]: Simplify (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) 10.222 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) in (k) around 0 10.222 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) in k 10.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 10.222 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 10.222 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 10.222 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 10.222 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 10.222 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 10.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 10.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 10.223 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3)) in k 10.223 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 10.223 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 10.223 * [taylor]: Taking taylor expansion of 1.0 in k 10.223 * [backup-simplify]: Simplify 1.0 into 1.0 10.223 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 10.223 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 10.223 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 10.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 10.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 10.223 * [taylor]: Taking taylor expansion of 1/3 in k 10.223 * [backup-simplify]: Simplify 1/3 into 1/3 10.224 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.224 * [taylor]: Taking taylor expansion of k in k 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 1 into 1 10.224 * [backup-simplify]: Simplify (/ 1 1) into 1 10.224 * [backup-simplify]: Simplify (log 1) into 0 10.224 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.224 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 10.224 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 10.224 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) in k 10.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 10.224 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 10.224 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 10.225 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 10.225 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 10.225 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 10.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 10.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 10.225 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3)) in k 10.225 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 10.225 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 10.225 * [taylor]: Taking taylor expansion of 1.0 in k 10.225 * [backup-simplify]: Simplify 1.0 into 1.0 10.225 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 10.226 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 10.226 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 10.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 10.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 10.226 * [taylor]: Taking taylor expansion of 1/3 in k 10.226 * [backup-simplify]: Simplify 1/3 into 1/3 10.226 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.226 * [taylor]: Taking taylor expansion of k in k 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify 1 into 1 10.226 * [backup-simplify]: Simplify (/ 1 1) into 1 10.226 * [backup-simplify]: Simplify (log 1) into 0 10.227 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.227 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 10.227 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 10.228 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 10.229 * [backup-simplify]: Simplify (* (cbrt 1.0) (pow (cbrt 1.0) 2)) into (pow (cbrt 1.0) 3) 10.229 * [backup-simplify]: Simplify (* (pow (cbrt 1.0) 3) (pow k -1/3)) into (* 1.0 (pow (/ 1 k) 1/3)) 10.230 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* 1.0 (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 10.230 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 10.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.231 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 10.232 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 10.232 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (cbrt 1.0))) into 0 10.233 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (pow (cbrt 1.0) 2))) into 0 10.234 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (* 0 (pow k -1/3))) into 0 10.234 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3)))) into 0 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.236 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 10.237 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 10.238 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 10.239 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))) into 0 10.240 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 10.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 10.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 10.241 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3))))) into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.244 * [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 10.244 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 10.246 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 10.247 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 10.248 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))) into 0 10.249 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 10.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 10.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 10.251 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3)))))) into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.256 * [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 10.256 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 10.259 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 10.260 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 10.261 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))) into 0 10.262 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 10.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 10.264 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 10.264 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3))))))) into 0 10.264 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.273 * [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 10.274 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 10.277 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 10.278 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 10.279 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))))) into 0 10.280 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 10.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 10.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 10.282 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3)))))))) into 0 10.282 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.304 * [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 10.304 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 10.306 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 10.309 * [backup-simplify]: Simplify (* (exp (* -1/3 (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 10.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 10.311 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 10.312 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))))) into 0 10.314 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 10.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 10.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 10.316 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3))))))))) into 0 10.316 * [backup-simplify]: Simplify 0 into 0 10.316 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 10.318 * [backup-simplify]: Simplify (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt (/ 1 k))))) (sqrt (sqrt (/ 1 k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt (/ 1 k)))))) into (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 10.318 * [approximate]: Taking taylor expansion of (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in (k) around 0 10.318 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 10.318 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 10.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 10.318 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 10.318 * [taylor]: Taking taylor expansion of 1/3 in k 10.318 * [backup-simplify]: Simplify 1/3 into 1/3 10.318 * [taylor]: Taking taylor expansion of (log k) in k 10.318 * [taylor]: Taking taylor expansion of k in k 10.318 * [backup-simplify]: Simplify 0 into 0 10.318 * [backup-simplify]: Simplify 1 into 1 10.318 * [backup-simplify]: Simplify (log 1) into 0 10.319 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.319 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 10.319 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 10.319 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 10.319 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 10.319 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 10.319 * [taylor]: Taking taylor expansion of 1.0 in k 10.319 * [backup-simplify]: Simplify 1.0 into 1.0 10.319 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 10.319 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 10.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 10.319 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 10.319 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 10.320 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 10.320 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 10.320 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 10.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.320 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 10.320 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 10.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 10.320 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 10.320 * [taylor]: Taking taylor expansion of 1/3 in k 10.320 * [backup-simplify]: Simplify 1/3 into 1/3 10.320 * [taylor]: Taking taylor expansion of (log k) in k 10.320 * [taylor]: Taking taylor expansion of k in k 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 1 into 1 10.321 * [backup-simplify]: Simplify (log 1) into 0 10.321 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.321 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 10.321 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 10.321 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 10.321 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 10.321 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 10.321 * [taylor]: Taking taylor expansion of 1.0 in k 10.321 * [backup-simplify]: Simplify 1.0 into 1.0 10.321 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 10.322 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 10.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 10.322 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 10.322 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 10.322 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 10.322 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 10.322 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 10.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.323 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 10.324 * [backup-simplify]: Simplify (* (cbrt 1.0) (pow (cbrt 1.0) 2)) into (pow (cbrt 1.0) 3) 10.325 * [backup-simplify]: Simplify (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) into (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) 10.325 * [backup-simplify]: Simplify (* (pow k 1/3) (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 10.325 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 10.326 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (cbrt 1.0))) into 0 10.326 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (pow (cbrt 1.0) 2))) into 0 10.327 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.328 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 10.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 10.329 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 10.329 * [backup-simplify]: Simplify 0 into 0 10.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 10.331 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 10.332 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))) into 0 10.333 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 10.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.334 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 10.335 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.336 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 10.336 * [backup-simplify]: Simplify 0 into 0 10.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 10.338 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 10.339 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))) into 0 10.340 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 10.342 * [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 10.343 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 10.344 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.345 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 10.345 * [backup-simplify]: Simplify 0 into 0 10.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 10.347 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 10.348 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))) into 0 10.349 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 10.355 * [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 10.355 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 10.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 10.358 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 10.358 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 10.361 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 10.362 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))))) into 0 10.363 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 10.371 * [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 10.372 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 10.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 10.376 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 10.376 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 10.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 10.379 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 10.380 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))))) into 0 10.381 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 10.402 * [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 10.402 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 10.406 * [backup-simplify]: Simplify (* (exp (* 1/3 (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 10.407 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))))) into 0 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [backup-simplify]: Simplify (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3)))))) into (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow k 1/3)))))) 10.409 * [backup-simplify]: Simplify (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt (/ 1 (- k)))))) (sqrt (sqrt (/ 1 (- k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt (/ 1 (- k))))))) into (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) 10.409 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) in (k) around 0 10.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) in k 10.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 10.409 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 10.409 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 10.409 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 10.410 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 10.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.410 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.410 * [taylor]: Taking taylor expansion of -1 in k 10.410 * [backup-simplify]: Simplify -1 into -1 10.410 * [taylor]: Taking taylor expansion of k in k 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify 1 into 1 10.410 * [backup-simplify]: Simplify (/ -1 1) into -1 10.410 * [backup-simplify]: Simplify (sqrt 0) into 0 10.411 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.411 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 10.412 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 10.413 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 10.413 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 10.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.415 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.416 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 10.417 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 10.418 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 10.418 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12))) in k 10.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 10.418 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 10.418 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 10.418 * [taylor]: Taking taylor expansion of 1/4 in k 10.418 * [backup-simplify]: Simplify 1/4 into 1/4 10.418 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 10.418 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 10.418 * [taylor]: Taking taylor expansion of (cbrt -1) in k 10.418 * [taylor]: Taking taylor expansion of -1 in k 10.418 * [backup-simplify]: Simplify -1 into -1 10.418 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.419 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.419 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 10.420 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 10.422 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 10.423 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 10.423 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow k 1/12)) in k 10.423 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 10.423 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 10.423 * [taylor]: Taking taylor expansion of 1.0 in k 10.424 * [backup-simplify]: Simplify 1.0 into 1.0 10.424 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 10.424 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 10.424 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 10.424 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 10.424 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 10.424 * [taylor]: Taking taylor expansion of 1/12 in k 10.424 * [backup-simplify]: Simplify 1/12 into 1/12 10.424 * [taylor]: Taking taylor expansion of (log k) in k 10.424 * [taylor]: Taking taylor expansion of k in k 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.425 * [backup-simplify]: Simplify (log 1) into 0 10.425 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.425 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 10.425 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 10.425 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) in k 10.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 10.425 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 10.425 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 10.425 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 10.425 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 10.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.425 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.425 * [taylor]: Taking taylor expansion of -1 in k 10.425 * [backup-simplify]: Simplify -1 into -1 10.425 * [taylor]: Taking taylor expansion of k in k 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 1 into 1 10.426 * [backup-simplify]: Simplify (/ -1 1) into -1 10.426 * [backup-simplify]: Simplify (sqrt 0) into 0 10.427 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.427 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 10.428 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 10.428 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 10.429 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 10.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.431 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.431 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 10.433 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 10.434 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 10.434 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12))) in k 10.434 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 10.434 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 10.434 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 10.434 * [taylor]: Taking taylor expansion of 1/4 in k 10.434 * [backup-simplify]: Simplify 1/4 into 1/4 10.434 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 10.434 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 10.434 * [taylor]: Taking taylor expansion of (cbrt -1) in k 10.434 * [taylor]: Taking taylor expansion of -1 in k 10.434 * [backup-simplify]: Simplify -1 into -1 10.434 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.434 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.435 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 10.436 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 10.437 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 10.439 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 10.439 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow k 1/12)) in k 10.439 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 10.439 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 10.439 * [taylor]: Taking taylor expansion of 1.0 in k 10.439 * [backup-simplify]: Simplify 1.0 into 1.0 10.439 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 10.440 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 10.440 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 10.440 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 10.440 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 10.440 * [taylor]: Taking taylor expansion of 1/12 in k 10.440 * [backup-simplify]: Simplify 1/12 into 1/12 10.440 * [taylor]: Taking taylor expansion of (log k) in k 10.440 * [taylor]: Taking taylor expansion of k in k 10.440 * [backup-simplify]: Simplify 0 into 0 10.440 * [backup-simplify]: Simplify 1 into 1 10.440 * [backup-simplify]: Simplify (log 1) into 0 10.440 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.440 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 10.440 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 10.441 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 10.442 * [backup-simplify]: Simplify (* (cbrt 1.0) (pow (cbrt 1.0) 2)) into (pow (cbrt 1.0) 3) 10.443 * [backup-simplify]: Simplify (* (pow (cbrt 1.0) 3) (pow k 1/12)) into (* 1.0 (pow k 1/12)) 10.444 * [backup-simplify]: Simplify (* (pow (/ 1 (cbrt -1)) 1/4) (* 1.0 (pow k 1/12))) into (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))) 10.446 * [backup-simplify]: Simplify (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) into (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) 10.448 * [backup-simplify]: Simplify (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) 10.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.449 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.449 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 10.450 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 10.450 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (cbrt 1.0))) into 0 10.451 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (pow (cbrt 1.0) 2))) into 0 10.451 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (* 0 (pow k 1/12))) into 0 10.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 10.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 10.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 10.454 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.455 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (* 0 (* 1.0 (pow k 1/12)))) into 0 10.458 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) 10.460 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) 10.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.462 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 10.462 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 10.463 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 10.464 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 10.465 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))) into 0 10.466 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (* 0 (pow k 1/12)))) into 0 10.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 10.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 10.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 10.477 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.478 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (* 0 (* 1.0 (pow k 1/12))))) into 0 10.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.482 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 10.484 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (* (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 10.486 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (pow (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))))) into (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 10.492 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (+ (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 0) (* (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) 10.497 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) 10.508 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (sqrt +nan.0))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (sqrt +nan.0))))))) (/ 1 (- k))) (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (- k)) 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))) into (- (* 1.0 (* (sqrt +nan.0) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (+ (* +nan.0 (* (pow (/ -1 (pow k 13)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (+ (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (pow (sqrt +nan.0) 3))))))))))) 10.509 * * * [progress]: simplifying candidates 10.515 * [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 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (log1p (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (+ (- (- (+ (log (cbrt 1.0)) (log (cbrt 1.0))) (log (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (- (- (+ (log (cbrt 1.0)) (log (cbrt 1.0))) (log (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (+ (- (- (log (* (cbrt 1.0) (cbrt 1.0))) (log (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (- (- (log (* (cbrt 1.0) (cbrt 1.0))) (log (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (+ (- (log (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (- (log (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (+ (log (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (log (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (log (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (exp (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* 1.0 1.0) (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* 1.0 1.0) (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (* (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt 1.0) (cbrt 1.0))) (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (* (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt 1.0) (cbrt 1.0))) (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (* (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (* (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (cbrt (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (cbrt (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))))) (cbrt (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (* (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (sqrt (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (sqrt (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (cbrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (* (cbrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (cbrt 1))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) 1)) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt 1))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt 1)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt 1))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) 1)) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt (cbrt 1))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt 1)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt 1))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1) 1)) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (cbrt 1))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt 1)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt 1))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) 1)) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt 1))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt 1)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt 1))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) 1)) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (cbrt 1))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt 1)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt 1))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ 1 1)) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) 1) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (* (cbrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (- (+ (* 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)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow k 1/3)))))) (- (* 1.0 (* (sqrt +nan.0) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (+ (* +nan.0 (* (pow (/ -1 (pow k 13)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (+ (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (pow (sqrt +nan.0) 3))))))))))) 10.531 * * [simplify]: Extracting # 0 : cost 0 10.531 * * [simplify]: Extracting # 1 : cost 0 10.532 * * [simplify]: Extracting # 2 : cost 0 10.533 * * [simplify]: Extracting # 3 : cost 0 10.534 * * [simplify]: Extracting # 4 : cost 0 10.535 * * [simplify]: Extracting # 5 : cost 0 10.536 * * [simplify]: Extracting # 6 : cost 0 10.536 * * [simplify]: Extracting # 7 : cost 0 10.537 * * [simplify]: Extracting # 8 : cost 0 10.538 * * [simplify]: Extracting # 9 : cost 0 10.539 * * [simplify]: Extracting # 10 : cost 0 10.540 * * [simplify]: Extracting # 11 : cost 0 10.547 * * [simplify]: Extracting # 12 : cost 0 10.548 * * [simplify]: Extracting # 13 : cost 0 10.549 * * [simplify]: Extracting # 14 : cost 0 10.550 * * [simplify]: Extracting # 15 : cost 0 10.551 * * [simplify]: iteration 0 : 530 enodes (cost 10247 ) 10.744 * * [simplify]: Extracting # 0 : cost 0 10.747 * * [simplify]: Extracting # 1 : cost 0 10.749 * * [simplify]: Extracting # 2 : cost 0 10.751 * * [simplify]: Extracting # 3 : cost 0 10.753 * * [simplify]: Extracting # 4 : cost 0 10.754 * * [simplify]: Extracting # 5 : cost 0 10.757 * * [simplify]: Extracting # 6 : cost 0 10.758 * * [simplify]: Extracting # 7 : cost 0 10.760 * * [simplify]: iteration 1 : 1530 enodes (cost 9876 ) 11.266 * * [simplify]: Extracting # 0 : cost 0 11.272 * * [simplify]: Extracting # 1 : cost 0 11.278 * * [simplify]: Extracting # 2 : cost 0 11.284 * * [simplify]: Extracting # 3 : cost 0 11.290 * * [simplify]: Extracting # 4 : cost 0 11.297 * * [simplify]: Extracting # 5 : cost 0 11.308 * * [simplify]: Extracting # 6 : cost 0 11.315 * * [simplify]: iteration 2 : 4915 enodes (cost 9376 ) 12.200 * * [simplify]: Extracting # 0 : cost 0 12.207 * * [simplify]: Extracting # 1 : cost 0 12.214 * * [simplify]: iteration done: 5000 enodes (cost 9376 ) 12.217 * [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))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 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 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (pow k 2/3)) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (pow (cbrt k) 3) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (pow k 2/3)) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (pow (cbrt k) 3) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log1p (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (log (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (exp (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* 1.0 1.0) (pow (sqrt (sqrt k)) 3)) (pow (sqrt (fabs (cbrt k))) 3)) (/ 1.0 (pow (sqrt (sqrt (cbrt k))) 3))) (/ (* (* 1.0 1.0) (pow (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) 3)) (* (pow (sqrt (sqrt k)) 3) (pow (sqrt (fabs (cbrt k))) 3))) (/ (* (pow (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) 3) 1.0) (pow (sqrt (sqrt (cbrt k))) 3)) (pow (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) 3) (/ (* (pow (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) 3) 1.0) (pow (sqrt (sqrt (cbrt k))) 3)) (pow (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) 3) (/ (* (pow (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) 3) 1.0) (pow (sqrt (sqrt (cbrt k))) 3)) (pow (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) 3) (* (cbrt (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (cbrt (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))))) (cbrt (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (pow (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) 3) (sqrt (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (sqrt (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))))) (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (* (cbrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (* (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (fabs (cbrt (sqrt (cbrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (* (cbrt (* (cbrt 1.0) (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt (pow k 2/3))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (cbrt (sqrt k)))))) (* (cbrt (* (cbrt 1.0) (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (fabs (cbrt (cbrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (cbrt (* (cbrt 1.0) (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (cbrt (* (cbrt 1.0) (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (cbrt (* (cbrt 1.0) (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (/ (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt (sqrt 1.0))) (fabs (cbrt (sqrt (cbrt k))))) (/ (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt (sqrt 1.0))) (sqrt (sqrt (cbrt (pow k 2/3))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt (sqrt 1.0))) (/ (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (fabs (cbrt (cbrt k)))))) (sqrt (sqrt k))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt (sqrt 1.0))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt (sqrt 1.0))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt (sqrt 1.0))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (fabs (cbrt (sqrt (cbrt k))))) (/ (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt (sqrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (fabs (cbrt (cbrt k))))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (/ (* (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt (cbrt k))))) (/ (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (sqrt (sqrt (cbrt (pow k 2/3)))) (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (cbrt (sqrt k)))))) (* (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (* (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (sqrt (fabs (cbrt (cbrt k))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (sqrt (sqrt (cbrt k)))))) (* (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))))) (/ (* (sqrt (cbrt 1.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt (cbrt k))))) (/ (* (sqrt (cbrt 1.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt (pow k 2/3))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (cbrt 1.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (fabs (cbrt (cbrt k)))))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (cbrt 1.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (cbrt 1.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (cbrt 1.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (fabs (cbrt (sqrt (cbrt k))))) (/ (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt (sqrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (fabs (cbrt (cbrt k))))) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (cbrt 1.0)) (/ (pow (cbrt 1.0) 3) (* (sqrt (sqrt k)) (sqrt (fabs (cbrt k))))) (* (cbrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (pow (cbrt 1.0) 3) (sqrt (sqrt (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (pow (cbrt 1.0) 3) (* (sqrt (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (pow (cbrt 1.0) 3) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) (/ (/ (pow (cbrt 1.0) 3) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) (/ (/ (pow (cbrt 1.0) 3) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (pow (cbrt 1.0) 3) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (pow (cbrt 1.0) 3) (* (sqrt (sqrt k)) (sqrt (fabs (cbrt k))))) (/ (pow (cbrt 1.0) 3) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (+ (* (* 0.125 (pow k 2)) (+ (* (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 (* (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (* 2.0 PI) n) 0.5)) (log n)) 0.25 (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (+ (* (log n) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (* (* (sqrt (/ 1 (fabs (cbrt k)))) (cbrt (/ 1 k))) 1.0) (* (* (sqrt (/ 1 (fabs (cbrt k)))) (cbrt (/ 1 k))) 1.0) (+ (- (* (* 1.0 (sqrt +nan.0)) (* (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 k) 1/12)) (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))))) (* (/ (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1)))))) (sqrt +nan.0)) (* +nan.0 (pow (/ -1 (pow k 13)) 1/12)))) (* (* +nan.0 (pow (/ -1 (pow k 25)) 1/12)) (- (/ (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1)))))) (sqrt +nan.0)) (/ (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1)))))) (pow (sqrt +nan.0) 3))))) 12.221 * * * [progress]: adding candidates to table 13.783 * [progress]: [Phase 3 of 3] Extracting. 13.783 * * [regime]: Finding splitpoints for: (# # # # # # # #) 13.787 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 13.787 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 13.829 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 13.869 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 13.912 * * * [regime]: Found split indices: #