43.235 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.166 * * * [progress]: [2/2] Setting up program. 0.171 * [progress]: [Phase 2 of 3] Improving. 0.172 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.172 * [simplify]: Sending expressions to egg_math: (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) 2.259 * * [progress]: iteration 1 / 4 2.259 * * * [progress]: picking best candidate 2.261 * * * * [pick]: Picked # 2.261 * * * [progress]: localizing error 2.318 * * * [progress]: generating rewritten candidates 2.318 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.341 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.348 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.451 * * * [progress]: generating series expansions 2.451 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.452 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.452 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.453 * [taylor]: Taking taylor expansion of 0.5 in k 2.453 * [backup-simplify]: Simplify 0.5 into 0.5 2.453 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.453 * [taylor]: Taking taylor expansion of 1.0 in k 2.453 * [backup-simplify]: Simplify 1.0 into 1.0 2.453 * [taylor]: Taking taylor expansion of k in k 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.453 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.453 * [taylor]: Taking taylor expansion of 2.0 in k 2.453 * [backup-simplify]: Simplify 2.0 into 2.0 2.453 * [taylor]: Taking taylor expansion of (* n PI) in k 2.453 * [taylor]: Taking taylor expansion of n in k 2.453 * [backup-simplify]: Simplify n into n 2.453 * [taylor]: Taking taylor expansion of PI in k 2.453 * [backup-simplify]: Simplify PI into PI 2.453 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.453 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.453 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.454 * [backup-simplify]: Simplify (- 0) into 0 2.454 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.455 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.455 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.455 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.455 * [taylor]: Taking taylor expansion of 0.5 in n 2.455 * [backup-simplify]: Simplify 0.5 into 0.5 2.455 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.455 * [taylor]: Taking taylor expansion of 1.0 in n 2.455 * [backup-simplify]: Simplify 1.0 into 1.0 2.455 * [taylor]: Taking taylor expansion of k in n 2.455 * [backup-simplify]: Simplify k into k 2.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.455 * [taylor]: Taking taylor expansion of 2.0 in n 2.455 * [backup-simplify]: Simplify 2.0 into 2.0 2.455 * [taylor]: Taking taylor expansion of (* n PI) in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [taylor]: Taking taylor expansion of PI in n 2.455 * [backup-simplify]: Simplify PI into PI 2.456 * [backup-simplify]: Simplify (* 0 PI) into 0 2.456 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.459 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.459 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.459 * [backup-simplify]: Simplify (- k) into (- k) 2.459 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.460 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.460 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.461 * [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)))) 2.462 * [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))))) 2.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.462 * [taylor]: Taking taylor expansion of 0.5 in n 2.462 * [backup-simplify]: Simplify 0.5 into 0.5 2.462 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.462 * [taylor]: Taking taylor expansion of 1.0 in n 2.462 * [backup-simplify]: Simplify 1.0 into 1.0 2.462 * [taylor]: Taking taylor expansion of k in n 2.462 * [backup-simplify]: Simplify k into k 2.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.462 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.462 * [taylor]: Taking taylor expansion of 2.0 in n 2.462 * [backup-simplify]: Simplify 2.0 into 2.0 2.462 * [taylor]: Taking taylor expansion of (* n PI) in n 2.462 * [taylor]: Taking taylor expansion of n in n 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [taylor]: Taking taylor expansion of PI in n 2.462 * [backup-simplify]: Simplify PI into PI 2.463 * [backup-simplify]: Simplify (* 0 PI) into 0 2.463 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.465 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.466 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.466 * [backup-simplify]: Simplify (- k) into (- k) 2.466 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.466 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.467 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.468 * [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)))) 2.468 * [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))))) 2.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.469 * [taylor]: Taking taylor expansion of 0.5 in k 2.469 * [backup-simplify]: Simplify 0.5 into 0.5 2.469 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.469 * [taylor]: Taking taylor expansion of 1.0 in k 2.469 * [backup-simplify]: Simplify 1.0 into 1.0 2.469 * [taylor]: Taking taylor expansion of k in k 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.469 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.469 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.469 * [taylor]: Taking taylor expansion of 2.0 in k 2.469 * [backup-simplify]: Simplify 2.0 into 2.0 2.469 * [taylor]: Taking taylor expansion of PI in k 2.469 * [backup-simplify]: Simplify PI into PI 2.469 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.470 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.470 * [taylor]: Taking taylor expansion of (log n) in k 2.470 * [taylor]: Taking taylor expansion of n in k 2.470 * [backup-simplify]: Simplify n into n 2.470 * [backup-simplify]: Simplify (log n) into (log n) 2.470 * [backup-simplify]: Simplify (- 0) into 0 2.471 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.472 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.472 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.473 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.474 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.474 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.476 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.477 * [backup-simplify]: Simplify (- 0) into 0 2.478 * [backup-simplify]: Simplify (+ 0 0) into 0 2.478 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.479 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.480 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.481 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.481 * [taylor]: Taking taylor expansion of 0 in k 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify (- 1) into -1 2.484 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.485 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.487 * [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)))) 2.491 * [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)))))) 2.499 * [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)))))) 2.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.505 * [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 2.506 * [backup-simplify]: Simplify (- 0) into 0 2.506 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.510 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.512 * [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 2.513 * [taylor]: Taking taylor expansion of 0 in k 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.518 * [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 2.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.530 * [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)))))) 2.535 * [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)))))) 2.547 * [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)))))) 2.548 * [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)))) 2.548 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.548 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.548 * [taylor]: Taking taylor expansion of 0.5 in k 2.548 * [backup-simplify]: Simplify 0.5 into 0.5 2.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.549 * [taylor]: Taking taylor expansion of 1.0 in k 2.549 * [backup-simplify]: Simplify 1.0 into 1.0 2.549 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.549 * [taylor]: Taking taylor expansion of k in k 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.549 * [backup-simplify]: Simplify (/ 1 1) into 1 2.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.549 * [taylor]: Taking taylor expansion of 2.0 in k 2.549 * [backup-simplify]: Simplify 2.0 into 2.0 2.549 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.549 * [taylor]: Taking taylor expansion of PI in k 2.549 * [backup-simplify]: Simplify PI into PI 2.549 * [taylor]: Taking taylor expansion of n in k 2.549 * [backup-simplify]: Simplify n into n 2.550 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.550 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.550 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.550 * [backup-simplify]: Simplify (- 1) into -1 2.551 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.551 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.551 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.552 * [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))))) 2.552 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.553 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.553 * [taylor]: Taking taylor expansion of 0.5 in n 2.553 * [backup-simplify]: Simplify 0.5 into 0.5 2.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.553 * [taylor]: Taking taylor expansion of 1.0 in n 2.553 * [backup-simplify]: Simplify 1.0 into 1.0 2.553 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.553 * [taylor]: Taking taylor expansion of k in n 2.553 * [backup-simplify]: Simplify k into k 2.553 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.553 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.553 * [taylor]: Taking taylor expansion of 2.0 in n 2.553 * [backup-simplify]: Simplify 2.0 into 2.0 2.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.553 * [taylor]: Taking taylor expansion of PI in n 2.553 * [backup-simplify]: Simplify PI into PI 2.553 * [taylor]: Taking taylor expansion of n in n 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (/ PI 1) into PI 2.554 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.555 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.555 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.556 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.556 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 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 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.560 * [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))))) 2.560 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.560 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.560 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.560 * [taylor]: Taking taylor expansion of 0.5 in n 2.560 * [backup-simplify]: Simplify 0.5 into 0.5 2.560 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.560 * [taylor]: Taking taylor expansion of 1.0 in n 2.560 * [backup-simplify]: Simplify 1.0 into 1.0 2.560 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.560 * [taylor]: Taking taylor expansion of k in n 2.560 * [backup-simplify]: Simplify k into k 2.560 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.560 * [taylor]: Taking taylor expansion of 2.0 in n 2.560 * [backup-simplify]: Simplify 2.0 into 2.0 2.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.560 * [taylor]: Taking taylor expansion of PI in n 2.560 * [backup-simplify]: Simplify PI into PI 2.560 * [taylor]: Taking taylor expansion of n in n 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [backup-simplify]: Simplify (/ PI 1) into PI 2.562 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.563 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.563 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.563 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.563 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.565 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.565 * [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)))) 2.566 * [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))))) 2.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.566 * [taylor]: Taking taylor expansion of 0.5 in k 2.566 * [backup-simplify]: Simplify 0.5 into 0.5 2.566 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.566 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.567 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.567 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.567 * [taylor]: Taking taylor expansion of 2.0 in k 2.567 * [backup-simplify]: Simplify 2.0 into 2.0 2.567 * [taylor]: Taking taylor expansion of PI in k 2.567 * [backup-simplify]: Simplify PI into PI 2.567 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.568 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.568 * [taylor]: Taking taylor expansion of (log n) in k 2.568 * [taylor]: Taking taylor expansion of n in k 2.568 * [backup-simplify]: Simplify n into n 2.568 * [backup-simplify]: Simplify (log n) into (log n) 2.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.568 * [taylor]: Taking taylor expansion of 1.0 in k 2.568 * [backup-simplify]: Simplify 1.0 into 1.0 2.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.568 * [taylor]: Taking taylor expansion of k in k 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (/ 1 1) into 1 2.568 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.569 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.569 * [backup-simplify]: Simplify (- 1) into -1 2.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.570 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.571 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.571 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.572 * [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))))) 2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.575 * [backup-simplify]: Simplify (- 0) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.577 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.578 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.578 * [taylor]: Taking taylor expansion of 0 in k 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.582 * [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 2.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.582 * [backup-simplify]: Simplify (- 0) into 0 2.582 * [backup-simplify]: Simplify (+ 0 0) into 0 2.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.585 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.587 * [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 2.587 * [taylor]: Taking taylor expansion of 0 in k 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.588 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.592 * [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 2.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.592 * [backup-simplify]: Simplify (- 0) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.593 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 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)) 2.597 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.600 * [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 2.600 * [taylor]: Taking taylor expansion of 0 in k 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [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)))) 2.602 * [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))) 2.602 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.602 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.602 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.602 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.602 * [taylor]: Taking taylor expansion of 0.5 in k 2.602 * [backup-simplify]: Simplify 0.5 into 0.5 2.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.603 * [taylor]: Taking taylor expansion of k in k 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [taylor]: Taking taylor expansion of 1.0 in k 2.603 * [backup-simplify]: Simplify 1.0 into 1.0 2.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.603 * [taylor]: Taking taylor expansion of -2.0 in k 2.603 * [backup-simplify]: Simplify -2.0 into -2.0 2.603 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.603 * [taylor]: Taking taylor expansion of PI in k 2.603 * [backup-simplify]: Simplify PI into PI 2.603 * [taylor]: Taking taylor expansion of n in k 2.603 * [backup-simplify]: Simplify n into n 2.603 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.604 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.604 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.604 * [backup-simplify]: Simplify (+ 1 0) into 1 2.605 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.605 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.605 * [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)))))) 2.605 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.605 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.605 * [taylor]: Taking taylor expansion of 0.5 in n 2.605 * [backup-simplify]: Simplify 0.5 into 0.5 2.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.605 * [taylor]: Taking taylor expansion of k in n 2.605 * [backup-simplify]: Simplify k into k 2.605 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.605 * [taylor]: Taking taylor expansion of 1.0 in n 2.605 * [backup-simplify]: Simplify 1.0 into 1.0 2.605 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.606 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.606 * [taylor]: Taking taylor expansion of -2.0 in n 2.606 * [backup-simplify]: Simplify -2.0 into -2.0 2.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.606 * [taylor]: Taking taylor expansion of PI in n 2.606 * [backup-simplify]: Simplify PI into PI 2.606 * [taylor]: Taking taylor expansion of n in n 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (/ PI 1) into PI 2.607 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.608 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.608 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.608 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.610 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.611 * [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)))) 2.613 * [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))))) 2.613 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.613 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.613 * [taylor]: Taking taylor expansion of 0.5 in n 2.613 * [backup-simplify]: Simplify 0.5 into 0.5 2.613 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.613 * [taylor]: Taking taylor expansion of k in n 2.613 * [backup-simplify]: Simplify k into k 2.613 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.613 * [taylor]: Taking taylor expansion of 1.0 in n 2.613 * [backup-simplify]: Simplify 1.0 into 1.0 2.613 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.613 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.613 * [taylor]: Taking taylor expansion of -2.0 in n 2.613 * [backup-simplify]: Simplify -2.0 into -2.0 2.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.613 * [taylor]: Taking taylor expansion of PI in n 2.613 * [backup-simplify]: Simplify PI into PI 2.613 * [taylor]: Taking taylor expansion of n in n 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.614 * [backup-simplify]: Simplify (/ PI 1) into PI 2.615 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.616 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.616 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.616 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.617 * [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 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.620 * [taylor]: Taking taylor expansion of 0.5 in k 2.620 * [backup-simplify]: Simplify 0.5 into 0.5 2.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.620 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.620 * [taylor]: Taking taylor expansion of k in k 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (/ 1 1) into 1 2.621 * [taylor]: Taking taylor expansion of 1.0 in k 2.621 * [backup-simplify]: Simplify 1.0 into 1.0 2.621 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.621 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.621 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.621 * [taylor]: Taking taylor expansion of -2.0 in k 2.621 * [backup-simplify]: Simplify -2.0 into -2.0 2.621 * [taylor]: Taking taylor expansion of PI in k 2.621 * [backup-simplify]: Simplify PI 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 * [taylor]: Taking taylor expansion of (log n) in k 2.622 * [taylor]: Taking taylor expansion of n in k 2.622 * [backup-simplify]: Simplify n into n 2.622 * [backup-simplify]: Simplify (log n) into (log n) 2.622 * [backup-simplify]: Simplify (+ 1 0) into 1 2.623 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.623 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.624 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.625 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.626 * [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))))) 2.626 * [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))))) 2.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.633 * [backup-simplify]: Simplify (+ 0 0) into 0 2.633 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.636 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 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 2.637 * [taylor]: Taking taylor expansion of 0 in k 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [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 2.641 * [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 2.645 * [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 2.645 * [taylor]: Taking taylor expansion of 0 in k 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.646 * [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 2.651 * [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 2.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.651 * [backup-simplify]: Simplify (+ 0 0) into 0 2.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.657 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.660 * [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 2.660 * [taylor]: Taking taylor expansion of 0 in k 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.661 * [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)))))) 2.661 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.661 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.662 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.662 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.662 * [taylor]: Taking taylor expansion of 1.0 in k 2.662 * [backup-simplify]: Simplify 1.0 into 1.0 2.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.662 * [taylor]: Taking taylor expansion of k in k 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [backup-simplify]: Simplify (sqrt 0) into 0 2.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.664 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.664 * [taylor]: Taking taylor expansion of 1.0 in k 2.664 * [backup-simplify]: Simplify 1.0 into 1.0 2.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.665 * [taylor]: Taking taylor expansion of k in k 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.665 * [backup-simplify]: Simplify (/ 1 1) into 1 2.665 * [backup-simplify]: Simplify (sqrt 0) into 0 2.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.667 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.669 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.674 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.676 * [backup-simplify]: Simplify (+ (* 1.0 +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.681 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.681 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.682 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.682 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.682 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.682 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.682 * [taylor]: Taking taylor expansion of 1.0 in k 2.682 * [backup-simplify]: Simplify 1.0 into 1.0 2.682 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.682 * [taylor]: Taking taylor expansion of k in k 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (sqrt 0) into 0 2.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.683 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.683 * [taylor]: Taking taylor expansion of 1.0 in k 2.683 * [backup-simplify]: Simplify 1.0 into 1.0 2.683 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.683 * [taylor]: Taking taylor expansion of k in k 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (sqrt 0) into 0 2.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.685 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.686 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.688 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.689 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.689 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.693 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.693 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.695 * [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)))))))) 2.695 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.695 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.695 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.695 * [taylor]: Taking taylor expansion of 1.0 in k 2.695 * [backup-simplify]: Simplify 1.0 into 1.0 2.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.695 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.695 * [taylor]: Taking taylor expansion of -1 in k 2.695 * [backup-simplify]: Simplify -1 into -1 2.695 * [taylor]: Taking taylor expansion of k in k 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (/ -1 1) into -1 2.695 * [backup-simplify]: Simplify (sqrt 0) into 0 2.696 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.696 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.696 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.697 * [taylor]: Taking taylor expansion of 1.0 in k 2.697 * [backup-simplify]: Simplify 1.0 into 1.0 2.697 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.697 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.697 * [taylor]: Taking taylor expansion of -1 in k 2.697 * [backup-simplify]: Simplify -1 into -1 2.697 * [taylor]: Taking taylor expansion of k in k 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (/ -1 1) into -1 2.697 * [backup-simplify]: Simplify (sqrt 0) into 0 2.698 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.698 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.702 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.702 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.710 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.711 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.712 * [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))))) 2.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.713 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.713 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.713 * [taylor]: Taking taylor expansion of 2.0 in n 2.713 * [backup-simplify]: Simplify 2.0 into 2.0 2.713 * [taylor]: Taking taylor expansion of (* n PI) in n 2.713 * [taylor]: Taking taylor expansion of n in n 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [taylor]: Taking taylor expansion of PI in n 2.713 * [backup-simplify]: Simplify PI into PI 2.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.713 * [taylor]: Taking taylor expansion of 2.0 in n 2.713 * [backup-simplify]: Simplify 2.0 into 2.0 2.713 * [taylor]: Taking taylor expansion of (* n PI) in n 2.713 * [taylor]: Taking taylor expansion of n in n 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [taylor]: Taking taylor expansion of PI in n 2.713 * [backup-simplify]: Simplify PI into PI 2.714 * [backup-simplify]: Simplify (* 0 PI) into 0 2.714 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.718 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.718 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.720 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.730 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.734 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.740 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.740 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.740 * [taylor]: Taking taylor expansion of 2.0 in n 2.740 * [backup-simplify]: Simplify 2.0 into 2.0 2.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.740 * [taylor]: Taking taylor expansion of PI in n 2.740 * [backup-simplify]: Simplify PI into PI 2.740 * [taylor]: Taking taylor expansion of n in n 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (/ PI 1) into PI 2.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.741 * [taylor]: Taking taylor expansion of 2.0 in n 2.741 * [backup-simplify]: Simplify 2.0 into 2.0 2.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.741 * [backup-simplify]: Simplify PI into PI 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (/ PI 1) into PI 2.742 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.743 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.754 * [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 2.755 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.756 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.756 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.756 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.756 * [taylor]: Taking taylor expansion of -2.0 in n 2.756 * [backup-simplify]: Simplify -2.0 into -2.0 2.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.756 * [taylor]: Taking taylor expansion of PI in n 2.756 * [backup-simplify]: Simplify PI into PI 2.756 * [taylor]: Taking taylor expansion of n in n 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify (/ PI 1) into PI 2.757 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.757 * [taylor]: Taking taylor expansion of -2.0 in n 2.757 * [backup-simplify]: Simplify -2.0 into -2.0 2.757 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.757 * [taylor]: Taking taylor expansion of PI in n 2.757 * [backup-simplify]: Simplify PI into PI 2.757 * [taylor]: Taking taylor expansion of n in n 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify (/ PI 1) into PI 2.758 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.758 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [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 2.767 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.768 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.769 * [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))))) 2.769 * [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 2.769 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 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 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.769 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.769 * [taylor]: Taking taylor expansion of k in n 2.769 * [backup-simplify]: Simplify k into k 2.769 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.769 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.770 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.770 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.770 * [taylor]: Taking taylor expansion of 0.5 in n 2.770 * [backup-simplify]: Simplify 0.5 into 0.5 2.770 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.770 * [taylor]: Taking taylor expansion of 1.0 in n 2.770 * [backup-simplify]: Simplify 1.0 into 1.0 2.770 * [taylor]: Taking taylor expansion of k in n 2.770 * [backup-simplify]: Simplify k into k 2.770 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.770 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.770 * [taylor]: Taking taylor expansion of 2.0 in n 2.770 * [backup-simplify]: Simplify 2.0 into 2.0 2.770 * [taylor]: Taking taylor expansion of (* n PI) in n 2.770 * [taylor]: Taking taylor expansion of n in n 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [taylor]: Taking taylor expansion of PI in n 2.770 * [backup-simplify]: Simplify PI into PI 2.771 * [backup-simplify]: Simplify (* 0 PI) into 0 2.771 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.774 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.776 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.776 * [backup-simplify]: Simplify (- k) into (- k) 2.776 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.776 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.777 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.779 * [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)))) 2.780 * [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))))) 2.780 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.780 * [taylor]: Taking taylor expansion of 1.0 in k 2.780 * [backup-simplify]: Simplify 1.0 into 1.0 2.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.780 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.780 * [taylor]: Taking taylor expansion of k in k 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (/ 1 1) into 1 2.781 * [backup-simplify]: Simplify (sqrt 0) into 0 2.782 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.782 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.783 * [taylor]: Taking taylor expansion of 0.5 in k 2.783 * [backup-simplify]: Simplify 0.5 into 0.5 2.783 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.783 * [taylor]: Taking taylor expansion of 1.0 in k 2.783 * [backup-simplify]: Simplify 1.0 into 1.0 2.783 * [taylor]: Taking taylor expansion of k in k 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.783 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.783 * [taylor]: Taking taylor expansion of 2.0 in k 2.783 * [backup-simplify]: Simplify 2.0 into 2.0 2.783 * [taylor]: Taking taylor expansion of (* n PI) in k 2.783 * [taylor]: Taking taylor expansion of n in k 2.783 * [backup-simplify]: Simplify n into n 2.783 * [taylor]: Taking taylor expansion of PI in k 2.783 * [backup-simplify]: Simplify PI into PI 2.783 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.783 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.783 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.785 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.785 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.785 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.785 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.785 * [taylor]: Taking taylor expansion of 1.0 in k 2.785 * [backup-simplify]: Simplify 1.0 into 1.0 2.785 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.785 * [taylor]: Taking taylor expansion of k in k 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (/ 1 1) into 1 2.786 * [backup-simplify]: Simplify (sqrt 0) into 0 2.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.788 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.788 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.788 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.788 * [taylor]: Taking taylor expansion of 0.5 in k 2.788 * [backup-simplify]: Simplify 0.5 into 0.5 2.788 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.788 * [taylor]: Taking taylor expansion of 1.0 in k 2.788 * [backup-simplify]: Simplify 1.0 into 1.0 2.788 * [taylor]: Taking taylor expansion of k in k 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.788 * [taylor]: Taking taylor expansion of 2.0 in k 2.788 * [backup-simplify]: Simplify 2.0 into 2.0 2.788 * [taylor]: Taking taylor expansion of (* n PI) in k 2.788 * [taylor]: Taking taylor expansion of n in k 2.788 * [backup-simplify]: Simplify n into n 2.788 * [taylor]: Taking taylor expansion of PI in k 2.788 * [backup-simplify]: Simplify PI into PI 2.789 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.789 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.789 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.789 * [backup-simplify]: Simplify (- 0) into 0 2.789 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.790 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.790 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.790 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.790 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.791 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.791 * [taylor]: Taking taylor expansion of 0 in n 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.791 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.792 * [backup-simplify]: Simplify (- 1) into -1 2.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.793 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.794 * [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))) 2.796 * [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))) 2.797 * [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))) 2.797 * [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 2.797 * [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 2.797 * [taylor]: Taking taylor expansion of +nan.0 in n 2.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.797 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.798 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.798 * [taylor]: Taking taylor expansion of 0.5 in n 2.798 * [backup-simplify]: Simplify 0.5 into 0.5 2.798 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.798 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.798 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.798 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.798 * [taylor]: Taking taylor expansion of 1.0 in n 2.798 * [backup-simplify]: Simplify 1.0 into 1.0 2.798 * [taylor]: Taking taylor expansion of (log PI) in n 2.798 * [taylor]: Taking taylor expansion of PI in n 2.798 * [backup-simplify]: Simplify PI into PI 2.798 * [backup-simplify]: Simplify (log PI) into (log PI) 2.799 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.800 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.800 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.800 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.800 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.800 * [taylor]: Taking taylor expansion of 1.0 in n 2.800 * [backup-simplify]: Simplify 1.0 into 1.0 2.800 * [taylor]: Taking taylor expansion of (log n) in n 2.800 * [taylor]: Taking taylor expansion of n in n 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (log 1) into 0 2.801 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.801 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.801 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.801 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.801 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [backup-simplify]: Simplify 1.0 into 1.0 2.801 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.801 * [taylor]: Taking taylor expansion of 2.0 in n 2.801 * [backup-simplify]: Simplify 2.0 into 2.0 2.801 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.802 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.803 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.803 * [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) 2.804 * [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) 2.805 * [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)) 2.806 * [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))) 2.807 * [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) 2.808 * [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)) 2.809 * [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))) 2.810 * [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))) 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.811 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.812 * [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 2.812 * [backup-simplify]: Simplify (- 0) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.814 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.814 * [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))) 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.820 * [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)))))))) 2.826 * [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)))))))) 2.826 * [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 2.826 * [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 2.826 * [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 2.826 * [taylor]: Taking taylor expansion of +nan.0 in n 2.826 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.826 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.827 * [taylor]: Taking taylor expansion of 0.5 in n 2.827 * [backup-simplify]: Simplify 0.5 into 0.5 2.827 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.827 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.827 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.827 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.827 * [taylor]: Taking taylor expansion of 1.0 in n 2.827 * [backup-simplify]: Simplify 1.0 into 1.0 2.827 * [taylor]: Taking taylor expansion of (log PI) in n 2.827 * [taylor]: Taking taylor expansion of PI in n 2.827 * [backup-simplify]: Simplify PI into PI 2.827 * [backup-simplify]: Simplify (log PI) into (log PI) 2.828 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.830 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.830 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.830 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.830 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.830 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.830 * [taylor]: Taking taylor expansion of 1.0 in n 2.830 * [backup-simplify]: Simplify 1.0 into 1.0 2.830 * [taylor]: Taking taylor expansion of (log n) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (log 1) into 0 2.831 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.831 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.832 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.832 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [backup-simplify]: Simplify 1.0 into 1.0 2.832 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.832 * [taylor]: Taking taylor expansion of 2.0 in n 2.832 * [backup-simplify]: Simplify 2.0 into 2.0 2.832 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.833 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.835 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.835 * [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) 2.837 * [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) 2.838 * [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)) 2.840 * [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))) 2.841 * [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) 2.842 * [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 2.842 * [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 2.842 * [taylor]: Taking taylor expansion of +nan.0 in n 2.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.842 * [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 2.842 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.842 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.842 * [taylor]: Taking taylor expansion of 0.5 in n 2.842 * [backup-simplify]: Simplify 0.5 into 0.5 2.842 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.842 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.842 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.842 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.842 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.842 * [taylor]: Taking taylor expansion of 1.0 in n 2.842 * [backup-simplify]: Simplify 1.0 into 1.0 2.842 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.842 * [taylor]: Taking taylor expansion of 2.0 in n 2.842 * [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)) 2.846 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.846 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.846 * [taylor]: Taking taylor expansion of 1.0 in n 2.846 * [backup-simplify]: Simplify 1.0 into 1.0 2.846 * [taylor]: Taking taylor expansion of (log PI) in n 2.846 * [taylor]: Taking taylor expansion of PI in n 2.846 * [backup-simplify]: Simplify PI into PI 2.846 * [backup-simplify]: Simplify (log PI) into (log PI) 2.847 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.849 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.849 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.849 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.849 * [taylor]: Taking taylor expansion of 1.0 in n 2.849 * [backup-simplify]: Simplify 1.0 into 1.0 2.849 * [taylor]: Taking taylor expansion of (log n) in n 2.849 * [taylor]: Taking taylor expansion of n in n 2.849 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (log 1) into 0 2.850 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.850 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.851 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.851 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.853 * [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) 2.854 * [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)) 2.856 * [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))) 2.857 * [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) 2.857 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.857 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.857 * [taylor]: Taking taylor expansion of 2.0 in n 2.857 * [backup-simplify]: Simplify 2.0 into 2.0 2.857 * [taylor]: Taking taylor expansion of (* n PI) in n 2.857 * [taylor]: Taking taylor expansion of n in n 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [taylor]: Taking taylor expansion of PI in n 2.857 * [backup-simplify]: Simplify PI into PI 2.858 * [backup-simplify]: Simplify (* 0 PI) into 0 2.858 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.860 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.862 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.863 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.865 * [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)) 2.866 * [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))) 2.872 * [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)))))) 2.876 * [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)))))))) 2.880 * [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)))))))) 2.887 * [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)))))))) 2.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.889 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.891 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.893 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.894 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.894 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.895 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.900 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.901 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.903 * [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 2.905 * [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 2.908 * [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 2.910 * [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 2.910 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.916 * [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 2.916 * [backup-simplify]: Simplify (- 0) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.922 * [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))) 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.934 * [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)))))))) 2.944 * [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)))))))) 2.944 * [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 2.944 * [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 2.944 * [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 2.944 * [taylor]: Taking taylor expansion of +nan.0 in n 2.944 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.944 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.944 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.944 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.944 * [taylor]: Taking taylor expansion of 0.5 in n 2.944 * [backup-simplify]: Simplify 0.5 into 0.5 2.944 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.944 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.944 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.944 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.944 * [taylor]: Taking taylor expansion of 1.0 in n 2.944 * [backup-simplify]: Simplify 1.0 into 1.0 2.944 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.944 * [taylor]: Taking taylor expansion of 2.0 in n 2.944 * [backup-simplify]: Simplify 2.0 into 2.0 2.945 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.945 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.946 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.946 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.946 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.946 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.946 * [taylor]: Taking taylor expansion of 1.0 in n 2.946 * [backup-simplify]: Simplify 1.0 into 1.0 2.946 * [taylor]: Taking taylor expansion of (log n) in n 2.947 * [taylor]: Taking taylor expansion of n in n 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (log 1) into 0 2.947 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.947 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.947 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.947 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.947 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.947 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.947 * [taylor]: Taking taylor expansion of 1.0 in n 2.947 * [backup-simplify]: Simplify 1.0 into 1.0 2.947 * [taylor]: Taking taylor expansion of (log PI) in n 2.947 * [taylor]: Taking taylor expansion of PI in n 2.947 * [backup-simplify]: Simplify PI into PI 2.948 * [backup-simplify]: Simplify (log PI) into (log PI) 2.948 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.949 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.950 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.951 * [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) 2.952 * [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)) 2.952 * [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))) 2.953 * [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) 2.953 * [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 2.953 * [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 2.954 * [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 2.954 * [taylor]: Taking taylor expansion of +nan.0 in n 2.954 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.954 * [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 2.954 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.954 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.954 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.954 * [taylor]: Taking taylor expansion of 0.5 in n 2.954 * [backup-simplify]: Simplify 0.5 into 0.5 2.954 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.954 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.954 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.954 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.954 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.954 * [taylor]: Taking taylor expansion of 1.0 in n 2.954 * [backup-simplify]: Simplify 1.0 into 1.0 2.954 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.954 * [taylor]: Taking taylor expansion of 2.0 in n 2.954 * [backup-simplify]: Simplify 2.0 into 2.0 2.955 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.955 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.956 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.956 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.956 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.956 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.956 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.956 * [taylor]: Taking taylor expansion of 1.0 in n 2.956 * [backup-simplify]: Simplify 1.0 into 1.0 2.956 * [taylor]: Taking taylor expansion of (log PI) in n 2.956 * [taylor]: Taking taylor expansion of PI in n 2.956 * [backup-simplify]: Simplify PI into PI 2.957 * [backup-simplify]: Simplify (log PI) into (log PI) 2.957 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.958 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.958 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.958 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.958 * [taylor]: Taking taylor expansion of 1.0 in n 2.958 * [backup-simplify]: Simplify 1.0 into 1.0 2.958 * [taylor]: Taking taylor expansion of (log n) in n 2.958 * [taylor]: Taking taylor expansion of n in n 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (log 1) into 0 2.959 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.959 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.959 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.959 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.960 * [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) 2.961 * [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)) 2.962 * [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))) 2.964 * [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) 2.964 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.964 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.964 * [taylor]: Taking taylor expansion of 2.0 in n 2.964 * [backup-simplify]: Simplify 2.0 into 2.0 2.964 * [taylor]: Taking taylor expansion of (* n PI) in n 2.964 * [taylor]: Taking taylor expansion of n in n 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [taylor]: Taking taylor expansion of PI in n 2.964 * [backup-simplify]: Simplify PI into PI 2.965 * [backup-simplify]: Simplify (* 0 PI) into 0 2.965 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.967 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.968 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.970 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.970 * [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 2.970 * [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 2.970 * [taylor]: Taking taylor expansion of +nan.0 in n 2.970 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.970 * [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 2.970 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.970 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.970 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.970 * [taylor]: Taking taylor expansion of 0.5 in n 2.970 * [backup-simplify]: Simplify 0.5 into 0.5 2.970 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.970 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.970 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.970 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.970 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.970 * [taylor]: Taking taylor expansion of 1.0 in n 2.970 * [backup-simplify]: Simplify 1.0 into 1.0 2.970 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.970 * [taylor]: Taking taylor expansion of 2.0 in n 2.970 * [backup-simplify]: Simplify 2.0 into 2.0 2.971 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.972 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.973 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.973 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.973 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.973 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.973 * [taylor]: Taking taylor expansion of 1.0 in n 2.973 * [backup-simplify]: Simplify 1.0 into 1.0 2.973 * [taylor]: Taking taylor expansion of (log PI) in n 2.973 * [taylor]: Taking taylor expansion of PI in n 2.974 * [backup-simplify]: Simplify PI into PI 2.974 * [backup-simplify]: Simplify (log PI) into (log PI) 2.975 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.977 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.977 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.977 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.977 * [taylor]: Taking taylor expansion of 1.0 in n 2.977 * [backup-simplify]: Simplify 1.0 into 1.0 2.977 * [taylor]: Taking taylor expansion of (log n) in n 2.977 * [taylor]: Taking taylor expansion of n in n 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (log 1) into 0 2.978 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.978 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.978 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.979 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.980 * [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) 2.981 * [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)) 2.983 * [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))) 2.984 * [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) 2.984 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.984 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.985 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.985 * [taylor]: Taking taylor expansion of 2.0 in n 2.985 * [backup-simplify]: Simplify 2.0 into 2.0 2.985 * [taylor]: Taking taylor expansion of (* n PI) in n 2.985 * [taylor]: Taking taylor expansion of n in n 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [taylor]: Taking taylor expansion of PI in n 2.985 * [backup-simplify]: Simplify PI into PI 2.985 * [backup-simplify]: Simplify (* 0 PI) into 0 2.986 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.989 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.990 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.992 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.994 * [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)) 2.995 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.998 * [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)) 3.001 * [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))) 3.002 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.004 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.006 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.009 * [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)) 3.012 * [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))) 3.015 * [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)))))))) 3.028 * [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)))))))))))) 3.049 * [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)))))))))))) 3.067 * [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)))))))))))))) 3.079 * [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)))))))))))))) 3.089 * [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)))))))))))))) 3.106 * [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)))))))))))))))))))))) 3.107 * [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)))))) 3.107 * [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 3.107 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.107 * [taylor]: Taking taylor expansion of 1.0 in n 3.107 * [backup-simplify]: Simplify 1.0 into 1.0 3.107 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.107 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.107 * [taylor]: Taking taylor expansion of k in n 3.107 * [backup-simplify]: Simplify k into k 3.107 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.107 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.107 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.107 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.107 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.107 * [taylor]: Taking taylor expansion of 0.5 in n 3.107 * [backup-simplify]: Simplify 0.5 into 0.5 3.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.107 * [taylor]: Taking taylor expansion of 1.0 in n 3.107 * [backup-simplify]: Simplify 1.0 into 1.0 3.107 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.107 * [taylor]: Taking taylor expansion of k in n 3.107 * [backup-simplify]: Simplify k into k 3.107 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.107 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.107 * [taylor]: Taking taylor expansion of 2.0 in n 3.107 * [backup-simplify]: Simplify 2.0 into 2.0 3.107 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.107 * [taylor]: Taking taylor expansion of PI in n 3.107 * [backup-simplify]: Simplify PI into PI 3.107 * [taylor]: Taking taylor expansion of n in n 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (/ PI 1) into PI 3.108 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.109 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.109 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.109 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.109 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.111 * [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)))) 3.111 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.111 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.111 * [taylor]: Taking taylor expansion of 1.0 in k 3.111 * [backup-simplify]: Simplify 1.0 into 1.0 3.112 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.112 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.112 * [taylor]: Taking taylor expansion of k in k 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (sqrt 0) into 0 3.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.113 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.113 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.113 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.113 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.113 * [taylor]: Taking taylor expansion of 0.5 in k 3.113 * [backup-simplify]: Simplify 0.5 into 0.5 3.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.113 * [taylor]: Taking taylor expansion of 1.0 in k 3.113 * [backup-simplify]: Simplify 1.0 into 1.0 3.113 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.113 * [taylor]: Taking taylor expansion of k in k 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ 1 1) into 1 3.113 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.113 * [taylor]: Taking taylor expansion of 2.0 in k 3.113 * [backup-simplify]: Simplify 2.0 into 2.0 3.113 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.113 * [taylor]: Taking taylor expansion of PI in k 3.113 * [backup-simplify]: Simplify PI into PI 3.113 * [taylor]: Taking taylor expansion of n in k 3.113 * [backup-simplify]: Simplify n into n 3.113 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.113 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.114 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.114 * [backup-simplify]: Simplify (- 1) into -1 3.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.114 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.114 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.115 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 3.115 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.115 * [taylor]: Taking taylor expansion of 1.0 in k 3.115 * [backup-simplify]: Simplify 1.0 into 1.0 3.115 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.115 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.115 * [taylor]: Taking taylor expansion of k in k 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (sqrt 0) into 0 3.116 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.116 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.116 * [taylor]: Taking taylor expansion of 0.5 in k 3.116 * [backup-simplify]: Simplify 0.5 into 0.5 3.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.116 * [taylor]: Taking taylor expansion of 1.0 in k 3.116 * [backup-simplify]: Simplify 1.0 into 1.0 3.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.116 * [taylor]: Taking taylor expansion of k in k 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.116 * [taylor]: Taking taylor expansion of 2.0 in k 3.116 * [backup-simplify]: Simplify 2.0 into 2.0 3.116 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.116 * [taylor]: Taking taylor expansion of PI in k 3.116 * [backup-simplify]: Simplify PI into PI 3.116 * [taylor]: Taking taylor expansion of n in k 3.116 * [backup-simplify]: Simplify n into n 3.117 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.117 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.117 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.117 * [backup-simplify]: Simplify (- 1) into -1 3.117 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.117 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.118 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.118 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 3.118 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 3.118 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.118 * [taylor]: Taking taylor expansion of 0 in n 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.119 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.119 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.119 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.119 * [taylor]: Taking taylor expansion of +nan.0 in n 3.119 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.119 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.119 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.119 * [taylor]: Taking taylor expansion of 0.5 in n 3.119 * [backup-simplify]: Simplify 0.5 into 0.5 3.119 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.119 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.119 * [taylor]: Taking taylor expansion of 2.0 in n 3.119 * [backup-simplify]: Simplify 2.0 into 2.0 3.120 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.120 * [taylor]: Taking taylor expansion of PI in n 3.120 * [backup-simplify]: Simplify PI into PI 3.120 * [taylor]: Taking taylor expansion of n in n 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (/ PI 1) into PI 3.120 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.121 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.121 * [taylor]: Taking taylor expansion of 1.0 in n 3.121 * [backup-simplify]: Simplify 1.0 into 1.0 3.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.121 * [taylor]: Taking taylor expansion of k in n 3.121 * [backup-simplify]: Simplify k into k 3.121 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.122 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.122 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.123 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.124 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.124 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.125 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.127 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.128 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.128 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.134 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.134 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.134 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.134 * [taylor]: Taking taylor expansion of +nan.0 in n 3.134 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.134 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.134 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.134 * [taylor]: Taking taylor expansion of 0.5 in n 3.134 * [backup-simplify]: Simplify 0.5 into 0.5 3.134 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.134 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.134 * [taylor]: Taking taylor expansion of 2.0 in n 3.134 * [backup-simplify]: Simplify 2.0 into 2.0 3.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.134 * [taylor]: Taking taylor expansion of PI in n 3.134 * [backup-simplify]: Simplify PI into PI 3.134 * [taylor]: Taking taylor expansion of n in n 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (/ PI 1) into PI 3.135 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.136 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.137 * [taylor]: Taking taylor expansion of 1.0 in n 3.137 * [backup-simplify]: Simplify 1.0 into 1.0 3.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.137 * [taylor]: Taking taylor expansion of k in n 3.137 * [backup-simplify]: Simplify k into k 3.137 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.138 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.138 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.140 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.141 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.142 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.143 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.143 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.144 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.145 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.149 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.153 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 3.155 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.156 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 3.156 * [backup-simplify]: Simplify (- 0) into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.160 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.160 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.160 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.160 * [taylor]: Taking taylor expansion of +nan.0 in n 3.160 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.160 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.161 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.161 * [taylor]: Taking taylor expansion of 0.5 in n 3.161 * [backup-simplify]: Simplify 0.5 into 0.5 3.161 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.161 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.161 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.161 * [taylor]: Taking taylor expansion of 2.0 in n 3.161 * [backup-simplify]: Simplify 2.0 into 2.0 3.161 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.161 * [taylor]: Taking taylor expansion of PI in n 3.161 * [backup-simplify]: Simplify PI into PI 3.161 * [taylor]: Taking taylor expansion of n in n 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (/ PI 1) into PI 3.161 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.162 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.162 * [taylor]: Taking taylor expansion of 1.0 in n 3.162 * [backup-simplify]: Simplify 1.0 into 1.0 3.162 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.162 * [taylor]: Taking taylor expansion of k in n 3.162 * [backup-simplify]: Simplify k into k 3.162 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.163 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.163 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.164 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.165 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.166 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.167 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.168 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.169 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.172 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 3.172 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 3.172 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 3.172 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.172 * [taylor]: Taking taylor expansion of 1.0 in n 3.172 * [backup-simplify]: Simplify 1.0 into 1.0 3.172 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.172 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.172 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.172 * [taylor]: Taking taylor expansion of 0.5 in n 3.172 * [backup-simplify]: Simplify 0.5 into 0.5 3.172 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.173 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.173 * [taylor]: Taking taylor expansion of k in n 3.173 * [backup-simplify]: Simplify k into k 3.173 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.173 * [taylor]: Taking taylor expansion of 1.0 in n 3.173 * [backup-simplify]: Simplify 1.0 into 1.0 3.173 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.173 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.173 * [taylor]: Taking taylor expansion of -2.0 in n 3.173 * [backup-simplify]: Simplify -2.0 into -2.0 3.173 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.173 * [taylor]: Taking taylor expansion of PI in n 3.173 * [backup-simplify]: Simplify PI into PI 3.173 * [taylor]: Taking taylor expansion of n in n 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ PI 1) into PI 3.173 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.174 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.174 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.174 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.176 * [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)))) 3.177 * [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))))) 3.177 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.177 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.177 * [taylor]: Taking taylor expansion of -1 in n 3.177 * [backup-simplify]: Simplify -1 into -1 3.177 * [taylor]: Taking taylor expansion of k in n 3.177 * [backup-simplify]: Simplify k into k 3.177 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 3.177 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 3.177 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 3.178 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 3.178 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.178 * [taylor]: Taking taylor expansion of 1.0 in k 3.178 * [backup-simplify]: Simplify 1.0 into 1.0 3.178 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.178 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.178 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.178 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.178 * [taylor]: Taking taylor expansion of 0.5 in k 3.178 * [backup-simplify]: Simplify 0.5 into 0.5 3.178 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.178 * [taylor]: Taking taylor expansion of k in k 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of 1.0 in k 3.179 * [backup-simplify]: Simplify 1.0 into 1.0 3.179 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.179 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.179 * [taylor]: Taking taylor expansion of -2.0 in k 3.179 * [backup-simplify]: Simplify -2.0 into -2.0 3.179 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.179 * [taylor]: Taking taylor expansion of PI in k 3.179 * [backup-simplify]: Simplify PI into PI 3.179 * [taylor]: Taking taylor expansion of n in k 3.179 * [backup-simplify]: Simplify n into n 3.179 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.179 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.179 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.179 * [backup-simplify]: Simplify (+ 1 0) into 1 3.179 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.180 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.180 * [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)))))) 3.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.180 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.180 * [taylor]: Taking taylor expansion of -1 in k 3.180 * [backup-simplify]: Simplify -1 into -1 3.180 * [taylor]: Taking taylor expansion of k in k 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 1 into 1 3.180 * [backup-simplify]: Simplify (/ -1 1) into -1 3.180 * [backup-simplify]: Simplify (sqrt 0) into 0 3.181 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.181 * [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))))))) 3.181 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.181 * [taylor]: Taking taylor expansion of 1.0 in k 3.181 * [backup-simplify]: Simplify 1.0 into 1.0 3.181 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.181 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.182 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.182 * [taylor]: Taking taylor expansion of 0.5 in k 3.182 * [backup-simplify]: Simplify 0.5 into 0.5 3.182 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.182 * [taylor]: Taking taylor expansion of k in k 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [backup-simplify]: Simplify (/ 1 1) into 1 3.182 * [taylor]: Taking taylor expansion of 1.0 in k 3.182 * [backup-simplify]: Simplify 1.0 into 1.0 3.182 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.182 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.182 * [taylor]: Taking taylor expansion of -2.0 in k 3.182 * [backup-simplify]: Simplify -2.0 into -2.0 3.182 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.182 * [taylor]: Taking taylor expansion of PI in k 3.182 * [backup-simplify]: Simplify PI into PI 3.182 * [taylor]: Taking taylor expansion of n in k 3.182 * [backup-simplify]: Simplify n into n 3.182 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.182 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.182 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.183 * [backup-simplify]: Simplify (+ 1 0) into 1 3.183 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.183 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.183 * [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)))))) 3.183 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.183 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.183 * [taylor]: Taking taylor expansion of -1 in k 3.183 * [backup-simplify]: Simplify -1 into -1 3.183 * [taylor]: Taking taylor expansion of k in k 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ -1 1) into -1 3.184 * [backup-simplify]: Simplify (sqrt 0) into 0 3.185 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.185 * [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))))))) 3.185 * [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))))))) 3.185 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.185 * [taylor]: Taking taylor expansion of +nan.0 in n 3.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.185 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.185 * [taylor]: Taking taylor expansion of 0.5 in n 3.185 * [backup-simplify]: Simplify 0.5 into 0.5 3.185 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.185 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.185 * [taylor]: Taking taylor expansion of k in n 3.185 * [backup-simplify]: Simplify k into k 3.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.185 * [taylor]: Taking taylor expansion of 1.0 in n 3.185 * [backup-simplify]: Simplify 1.0 into 1.0 3.185 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.185 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.185 * [taylor]: Taking taylor expansion of -2.0 in n 3.185 * [backup-simplify]: Simplify -2.0 into -2.0 3.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.185 * [taylor]: Taking taylor expansion of PI in n 3.185 * [backup-simplify]: Simplify PI into PI 3.185 * [taylor]: Taking taylor expansion of n in n 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (/ PI 1) into PI 3.186 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.187 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.187 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.189 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.189 * [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)))) 3.190 * [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))))) 3.191 * [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)))))) 3.192 * [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)))))) 3.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.195 * [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)))))))) 3.195 * [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)))))))) 3.195 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.195 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.195 * [taylor]: Taking taylor expansion of +nan.0 in n 3.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.196 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.196 * [taylor]: Taking taylor expansion of 0.5 in n 3.196 * [backup-simplify]: Simplify 0.5 into 0.5 3.196 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.196 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.196 * [taylor]: Taking taylor expansion of k in n 3.196 * [backup-simplify]: Simplify k into k 3.196 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.196 * [taylor]: Taking taylor expansion of 1.0 in n 3.196 * [backup-simplify]: Simplify 1.0 into 1.0 3.196 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.196 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.196 * [taylor]: Taking taylor expansion of -2.0 in n 3.196 * [backup-simplify]: Simplify -2.0 into -2.0 3.196 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.196 * [taylor]: Taking taylor expansion of PI in n 3.196 * [backup-simplify]: Simplify PI into PI 3.196 * [taylor]: Taking taylor expansion of n in n 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 1 into 1 3.196 * [backup-simplify]: Simplify (/ PI 1) into PI 3.197 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.197 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.197 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.199 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.200 * [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)))) 3.201 * [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))))) 3.202 * [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)))))) 3.203 * [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))))))) 3.205 * [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))))))) 3.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.212 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.216 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.218 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.225 * [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)))))))) 3.226 * [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)))))))) 3.226 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.226 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.226 * [taylor]: Taking taylor expansion of +nan.0 in n 3.226 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.226 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.226 * [taylor]: Taking taylor expansion of 0.5 in n 3.226 * [backup-simplify]: Simplify 0.5 into 0.5 3.226 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.226 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.226 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.226 * [taylor]: Taking taylor expansion of k in n 3.226 * [backup-simplify]: Simplify k into k 3.226 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.226 * [taylor]: Taking taylor expansion of 1.0 in n 3.226 * [backup-simplify]: Simplify 1.0 into 1.0 3.226 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.226 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.226 * [taylor]: Taking taylor expansion of -2.0 in n 3.226 * [backup-simplify]: Simplify -2.0 into -2.0 3.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.227 * [taylor]: Taking taylor expansion of PI in n 3.227 * [backup-simplify]: Simplify PI into PI 3.227 * [taylor]: Taking taylor expansion of n in n 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify (/ PI 1) into PI 3.228 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.229 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.229 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.232 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.233 * [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)))) 3.234 * [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))))) 3.235 * [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)))))) 3.237 * [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))))))) 3.238 * [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))))))) 3.243 * [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)))))))))))) 3.243 * * * [progress]: simplifying candidates 3.248 * [simplify]: Simplifying: (* (+ (+ (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)) (- (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 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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)))))))))))) 3.250 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ 1.0 2.0)) (pow (* (* 2.0 h2) h1) (/ h0 2.0)) (pow (* (* 2.0 h2) h1) (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0)))) (pow (* (* 2.0 h2) h1) (sqrt (/ (- 1.0 h0) 2.0))) (pow (* (* 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(sqrt (sqrt h0))) (/ 1.0 (sqrt (sqrt h0))) (/ 1 1) (/ 1.0 (sqrt h0)) (/ 1 (sqrt h0)) (/ (sqrt h0) 1.0) (/ 1.0 (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ 1.0 (sqrt (* (cbrt h0) (cbrt h0)))) (/ 1.0 (sqrt (sqrt h0))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt h0))) (/ 1.0 1) (/ (sqrt h0) (cbrt 1.0)) (/ (sqrt h0) (sqrt 1.0)) (/ (sqrt h0) 1.0) (* (* 2.0 h2) h1) (* (* 2.0 h2) h1) (+ (+ (log 2.0) (log h2)) (log h1)) (+ (log (* 2.0 h2)) (log h1)) (log (* (* 2.0 h2) h1)) (exp (* (* 2.0 h2) h1)) (* (* (* (* 2.0 2.0) 2.0) (* (* h2 h2) h2)) (* (* h1 h1) h1)) (* (* (* (* 2.0 h2) (* 2.0 h2)) (* 2.0 h2)) (* (* h1 h1) h1)) (* (cbrt (* (* 2.0 h2) h1)) (cbrt (* (* 2.0 h2) h1))) (cbrt (* (* 2.0 h2) h1)) (* (* (* (* 2.0 h2) h1) (* (* 2.0 h2) h1)) (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (* (* 2.0 h2) (* (cbrt h1) (cbrt h1))) (* (* 2.0 h2) (sqrt h1)) (* (* 2.0 h2) 1) (* h2 h1) (+ (- (log 1.0) (log (sqrt h0))) (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (+ (- (log 1.0) (log (sqrt h0))) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (+ (- (log 1.0) (log (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (- (log 1.0) (log (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (- (log 1.0) (log (sqrt h0))) (log (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (+ (log (/ 1.0 (sqrt h0))) (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (log (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (log (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (exp (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt h0) (sqrt h0)) (sqrt h0))) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (* (* (/ 1.0 (sqrt h0)) (/ 1.0 (sqrt h0))) (/ 1.0 (sqrt h0))) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (cbrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (cbrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (* (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (sqrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (sqrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* 1.0 (pow (* (* 2.0 h2) h1) (/ 1.0 2.0))) (* (sqrt h0) (pow (* (* 2.0 h2) h1) (/ h0 2.0))) (* (sqrt (/ 1.0 (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (sqrt (/ 1.0 (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (sqrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ 1.0 (sqrt h0)) (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (* (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (* (/ 1.0 (sqrt h0)) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ 1.0 (sqrt h0)) 1) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (sqrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (cbrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt (cbrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (- (+ (* h5 (* (pow h0 2) (* (pow (log (* 2.0 h2)) 2) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (+ (* h5 (* (pow h0 2) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (pow (log h1) 2)))) (+ (* h4 (* (pow h0 2) (* (log (* 2.0 h2)) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1))))) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (+ (* h3 (* h0 (* (log (* 2.0 h2)) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (* h3 (* h0 (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1)))))) (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (- (+ (* h6 h0) (- (+ (* h6 (pow h0 2)) (- h6))))) (- (+ (* h6 (/ 1 (pow h0 2))) (- (+ (* h6 (/ 1 h0)) (- (* h6 (/ 1 (pow h0 3)))))))) (- (+ (* h6 (/ 1 (pow h0 2))) (- (+ (* h6 (/ 1 h0)) (- h6))))) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (- (+ (* h6 (* (* (pow h0 2) (pow (log (* 2.0 h2)) 2)) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) h3))) (- (+ (* h6 (* (* (pow h0 2) (log (* 2.0 h2))) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) h3))) (- (+ (* h6 (* (* (pow h0 2) (* (log (* 2.0 h2)) (log h1))) (pow (* (pow h2 1.0) (* (pow 2.0 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (* (* (pow h0 2) (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (* (* h0 (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) h3))) (- (+ (* h6 (* (* (pow h0 2) (pow (log h1) 2)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (* (* h0 (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) h3)) (- (+ (* h6 (* (pow h0 2) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) h3))) (- (* h6 (* h0 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) h3)))))))))))))))))))))) (- (+ (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 3))) (- (+ (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) h0)) (- (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 2)))))))) (- (+ (* h6 (/ (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) h0)) (- (+ (* h6 (/ (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (pow h0 2))) (- (* h6 (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))))))))) 5.031 * * * [progress]: adding candidates to table 5.650 * * [progress]: iteration 2 / 4 5.650 * * * [progress]: picking best candidate 5.710 * * * * [pick]: Picked # 5.710 * * * [progress]: localizing error 5.726 * * * [progress]: generating rewritten candidates 5.726 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 5.762 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 5.801 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.858 * * * [progress]: generating series expansions 5.859 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 5.860 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 5.860 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.860 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.860 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.860 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.860 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.860 * [taylor]: Taking taylor expansion of 0.5 in k 5.861 * [backup-simplify]: Simplify 0.5 into 0.5 5.861 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.861 * [taylor]: Taking taylor expansion of 1.0 in k 5.861 * [backup-simplify]: Simplify 1.0 into 1.0 5.861 * [taylor]: Taking taylor expansion of k in k 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify 1 into 1 5.861 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.861 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.861 * [taylor]: Taking taylor expansion of 2.0 in k 5.861 * [backup-simplify]: Simplify 2.0 into 2.0 5.861 * [taylor]: Taking taylor expansion of (* n PI) in k 5.861 * [taylor]: Taking taylor expansion of n in k 5.861 * [backup-simplify]: Simplify n into n 5.861 * [taylor]: Taking taylor expansion of PI in k 5.861 * [backup-simplify]: Simplify PI into PI 5.861 * [backup-simplify]: Simplify (* n PI) into (* n PI) 5.861 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 5.861 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 5.862 * [backup-simplify]: Simplify (- 0) into 0 5.862 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.863 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.863 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 5.863 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 5.863 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.863 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.864 * [taylor]: Taking taylor expansion of 0.5 in n 5.864 * [backup-simplify]: Simplify 0.5 into 0.5 5.864 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.864 * [taylor]: Taking taylor expansion of 1.0 in n 5.864 * [backup-simplify]: Simplify 1.0 into 1.0 5.864 * [taylor]: Taking taylor expansion of k in n 5.864 * [backup-simplify]: Simplify k into k 5.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.864 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.864 * [taylor]: Taking taylor expansion of 2.0 in n 5.864 * [backup-simplify]: Simplify 2.0 into 2.0 5.864 * [taylor]: Taking taylor expansion of (* n PI) in n 5.864 * [taylor]: Taking taylor expansion of n in n 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 1 into 1 5.864 * [taylor]: Taking taylor expansion of PI in n 5.864 * [backup-simplify]: Simplify PI into PI 5.865 * [backup-simplify]: Simplify (* 0 PI) into 0 5.865 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.867 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.869 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.870 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.870 * [backup-simplify]: Simplify (- k) into (- k) 5.870 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.870 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.872 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.873 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 5.875 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 5.875 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.875 * [taylor]: Taking taylor expansion of 0.5 in n 5.875 * [backup-simplify]: Simplify 0.5 into 0.5 5.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.875 * [taylor]: Taking taylor expansion of 1.0 in n 5.875 * [backup-simplify]: Simplify 1.0 into 1.0 5.875 * [taylor]: Taking taylor expansion of k in n 5.875 * [backup-simplify]: Simplify k into k 5.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.875 * [taylor]: Taking taylor expansion of 2.0 in n 5.875 * [backup-simplify]: Simplify 2.0 into 2.0 5.875 * [taylor]: Taking taylor expansion of (* n PI) in n 5.875 * [taylor]: Taking taylor expansion of n in n 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [taylor]: Taking taylor expansion of PI in n 5.876 * [backup-simplify]: Simplify PI into PI 5.876 * [backup-simplify]: Simplify (* 0 PI) into 0 5.877 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.878 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.880 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.881 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.881 * [backup-simplify]: Simplify (- k) into (- k) 5.881 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.881 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.883 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.884 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 5.885 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 5.886 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.886 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.886 * [taylor]: Taking taylor expansion of 0.5 in k 5.886 * [backup-simplify]: Simplify 0.5 into 0.5 5.886 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.886 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.886 * [taylor]: Taking taylor expansion of 1.0 in k 5.886 * [backup-simplify]: Simplify 1.0 into 1.0 5.886 * [taylor]: Taking taylor expansion of k in k 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.886 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.886 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.886 * [taylor]: Taking taylor expansion of 2.0 in k 5.886 * [backup-simplify]: Simplify 2.0 into 2.0 5.886 * [taylor]: Taking taylor expansion of PI in k 5.886 * [backup-simplify]: Simplify PI into PI 5.887 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.888 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.888 * [taylor]: Taking taylor expansion of (log n) in k 5.888 * [taylor]: Taking taylor expansion of n in k 5.888 * [backup-simplify]: Simplify n into n 5.888 * [backup-simplify]: Simplify (log n) into (log n) 5.888 * [backup-simplify]: Simplify (- 0) into 0 5.889 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.890 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 5.891 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 5.893 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 5.900 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 5.901 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 5.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 5.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.906 * [backup-simplify]: Simplify (- 0) into 0 5.907 * [backup-simplify]: Simplify (+ 0 0) into 0 5.907 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 5.909 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.911 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 5.913 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.913 * [taylor]: Taking taylor expansion of 0 in k 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.917 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [backup-simplify]: Simplify (- 1) into -1 5.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.920 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 5.923 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 5.926 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 5.928 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 5.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.930 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.932 * [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 5.932 * [backup-simplify]: Simplify (- 0) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 5.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.935 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 5.936 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.936 * [taylor]: Taking taylor expansion of 0 in k 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.939 * [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 5.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.941 * [backup-simplify]: Simplify (+ 0 0) into 0 5.941 * [backup-simplify]: Simplify (- 0) into 0 5.941 * [backup-simplify]: Simplify (+ 0 0) into 0 5.942 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 5.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 5.946 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 5.950 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 5.962 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 5.963 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 5.964 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.964 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.964 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.964 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.964 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.964 * [taylor]: Taking taylor expansion of 0.5 in k 5.964 * [backup-simplify]: Simplify 0.5 into 0.5 5.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.964 * [taylor]: Taking taylor expansion of 1.0 in k 5.964 * [backup-simplify]: Simplify 1.0 into 1.0 5.964 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.964 * [taylor]: Taking taylor expansion of k in k 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (/ 1 1) into 1 5.965 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.965 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.965 * [taylor]: Taking taylor expansion of 2.0 in k 5.965 * [backup-simplify]: Simplify 2.0 into 2.0 5.965 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.965 * [taylor]: Taking taylor expansion of PI in k 5.965 * [backup-simplify]: Simplify PI into PI 5.965 * [taylor]: Taking taylor expansion of n in k 5.965 * [backup-simplify]: Simplify n into n 5.965 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.965 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.965 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.966 * [backup-simplify]: Simplify (- 1) into -1 5.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.967 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.967 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.967 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 5.967 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.967 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.967 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.967 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.967 * [taylor]: Taking taylor expansion of 0.5 in n 5.967 * [backup-simplify]: Simplify 0.5 into 0.5 5.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.967 * [taylor]: Taking taylor expansion of 1.0 in n 5.967 * [backup-simplify]: Simplify 1.0 into 1.0 5.967 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.967 * [taylor]: Taking taylor expansion of k in n 5.968 * [backup-simplify]: Simplify k into k 5.968 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.968 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.968 * [taylor]: Taking taylor expansion of 2.0 in n 5.968 * [backup-simplify]: Simplify 2.0 into 2.0 5.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.968 * [taylor]: Taking taylor expansion of PI in n 5.968 * [backup-simplify]: Simplify PI into PI 5.968 * [taylor]: Taking taylor expansion of n in n 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.969 * [backup-simplify]: Simplify (/ PI 1) into PI 5.969 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.970 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.970 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.971 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.971 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.972 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.973 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.975 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.975 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.975 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.975 * [taylor]: Taking taylor expansion of 0.5 in n 5.975 * [backup-simplify]: Simplify 0.5 into 0.5 5.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.975 * [taylor]: Taking taylor expansion of 1.0 in n 5.975 * [backup-simplify]: Simplify 1.0 into 1.0 5.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.975 * [taylor]: Taking taylor expansion of k in n 5.975 * [backup-simplify]: Simplify k into k 5.976 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.976 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.976 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.976 * [taylor]: Taking taylor expansion of 2.0 in n 5.976 * [backup-simplify]: Simplify 2.0 into 2.0 5.976 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.976 * [taylor]: Taking taylor expansion of PI in n 5.976 * [backup-simplify]: Simplify PI into PI 5.976 * [taylor]: Taking taylor expansion of n in n 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (/ PI 1) into PI 5.977 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.978 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.978 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.979 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.979 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.982 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.983 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.983 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.983 * [taylor]: Taking taylor expansion of 0.5 in k 5.983 * [backup-simplify]: Simplify 0.5 into 0.5 5.983 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.983 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.983 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.984 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.984 * [taylor]: Taking taylor expansion of 2.0 in k 5.984 * [backup-simplify]: Simplify 2.0 into 2.0 5.984 * [taylor]: Taking taylor expansion of PI in k 5.984 * [backup-simplify]: Simplify PI into PI 5.984 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.985 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.985 * [taylor]: Taking taylor expansion of (log n) in k 5.985 * [taylor]: Taking taylor expansion of n in k 5.986 * [backup-simplify]: Simplify n into n 5.986 * [backup-simplify]: Simplify (log n) into (log n) 5.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.986 * [taylor]: Taking taylor expansion of 1.0 in k 5.986 * [backup-simplify]: Simplify 1.0 into 1.0 5.986 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.986 * [taylor]: Taking taylor expansion of k in k 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (/ 1 1) into 1 5.986 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.987 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 5.988 * [backup-simplify]: Simplify (- 1) into -1 5.988 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.989 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 5.991 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 5.992 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.993 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.997 * [backup-simplify]: Simplify (- 0) into 0 5.998 * [backup-simplify]: Simplify (+ 0 0) into 0 5.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.000 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.001 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.003 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.003 * [taylor]: Taking taylor expansion of 0 in k 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.009 * [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 6.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.010 * [backup-simplify]: Simplify (- 0) into 0 6.010 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.014 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.017 * [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 6.017 * [taylor]: Taking taylor expansion of 0 in k 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.022 * [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 6.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.022 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify (+ 0 0) into 0 6.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.026 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.028 * [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 6.028 * [taylor]: Taking taylor expansion of 0 in k 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [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)))) 6.029 * [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))) 6.029 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.029 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.029 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.029 * [taylor]: Taking taylor expansion of 0.5 in k 6.029 * [backup-simplify]: Simplify 0.5 into 0.5 6.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.029 * [taylor]: Taking taylor expansion of k in k 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.030 * [backup-simplify]: Simplify (/ 1 1) into 1 6.030 * [taylor]: Taking taylor expansion of 1.0 in k 6.030 * [backup-simplify]: Simplify 1.0 into 1.0 6.030 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.030 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.030 * [taylor]: Taking taylor expansion of -2.0 in k 6.030 * [backup-simplify]: Simplify -2.0 into -2.0 6.030 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.030 * [taylor]: Taking taylor expansion of PI in k 6.030 * [backup-simplify]: Simplify PI into PI 6.030 * [taylor]: Taking taylor expansion of n in k 6.030 * [backup-simplify]: Simplify n into n 6.030 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.030 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.030 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.030 * [backup-simplify]: Simplify (+ 1 0) into 1 6.031 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.031 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.031 * [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)))))) 6.031 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.031 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.031 * [taylor]: Taking taylor expansion of 0.5 in n 6.031 * [backup-simplify]: Simplify 0.5 into 0.5 6.031 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.031 * [taylor]: Taking taylor expansion of k in n 6.031 * [backup-simplify]: Simplify k into k 6.031 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.031 * [taylor]: Taking taylor expansion of 1.0 in n 6.031 * [backup-simplify]: Simplify 1.0 into 1.0 6.031 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.031 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.031 * [taylor]: Taking taylor expansion of -2.0 in n 6.031 * [backup-simplify]: Simplify -2.0 into -2.0 6.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.031 * [taylor]: Taking taylor expansion of PI in n 6.031 * [backup-simplify]: Simplify PI into PI 6.031 * [taylor]: Taking taylor expansion of n in n 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.032 * [backup-simplify]: Simplify (/ PI 1) into PI 6.037 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.038 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.038 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.039 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.039 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.040 * [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)))) 6.041 * [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))))) 6.041 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.041 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.041 * [taylor]: Taking taylor expansion of 0.5 in n 6.041 * [backup-simplify]: Simplify 0.5 into 0.5 6.041 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.041 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.041 * [taylor]: Taking taylor expansion of k in n 6.041 * [backup-simplify]: Simplify k into k 6.041 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.041 * [taylor]: Taking taylor expansion of 1.0 in n 6.041 * [backup-simplify]: Simplify 1.0 into 1.0 6.041 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.041 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.041 * [taylor]: Taking taylor expansion of -2.0 in n 6.042 * [backup-simplify]: Simplify -2.0 into -2.0 6.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.042 * [taylor]: Taking taylor expansion of PI in n 6.042 * [backup-simplify]: Simplify PI into PI 6.042 * [taylor]: Taking taylor expansion of n in n 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (/ PI 1) into PI 6.042 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.043 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.043 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.043 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.045 * [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)))) 6.046 * [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))))) 6.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.046 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.046 * [taylor]: Taking taylor expansion of 0.5 in k 6.046 * [backup-simplify]: Simplify 0.5 into 0.5 6.046 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.046 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.046 * [taylor]: Taking taylor expansion of k in k 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (/ 1 1) into 1 6.046 * [taylor]: Taking taylor expansion of 1.0 in k 6.046 * [backup-simplify]: Simplify 1.0 into 1.0 6.046 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.046 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.046 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.046 * [taylor]: Taking taylor expansion of -2.0 in k 6.046 * [backup-simplify]: Simplify -2.0 into -2.0 6.046 * [taylor]: Taking taylor expansion of PI in k 6.046 * [backup-simplify]: Simplify PI into PI 6.047 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.047 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.047 * [taylor]: Taking taylor expansion of (log n) in k 6.047 * [taylor]: Taking taylor expansion of n in k 6.047 * [backup-simplify]: Simplify n into n 6.047 * [backup-simplify]: Simplify (log n) into (log n) 6.048 * [backup-simplify]: Simplify (+ 1 0) into 1 6.048 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.048 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.049 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 6.050 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 6.051 * [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))))) 6.051 * [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))))) 6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.055 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.056 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.057 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.057 * [taylor]: Taking taylor expansion of 0 in k 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.063 * [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 6.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.064 * [backup-simplify]: Simplify (+ 0 0) into 0 6.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.068 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.070 * [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 6.070 * [taylor]: Taking taylor expansion of 0 in k 6.070 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.079 * [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 6.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.080 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.085 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 6.089 * [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 6.090 * [taylor]: Taking taylor expansion of 0 in k 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.091 * [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)))))) 6.091 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 6.092 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.092 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.092 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.092 * [taylor]: Taking taylor expansion of 2.0 in n 6.092 * [backup-simplify]: Simplify 2.0 into 2.0 6.092 * [taylor]: Taking taylor expansion of (* n PI) in n 6.092 * [taylor]: Taking taylor expansion of n in n 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of PI in n 6.092 * [backup-simplify]: Simplify PI into PI 6.092 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.092 * [taylor]: Taking taylor expansion of 2.0 in n 6.092 * [backup-simplify]: Simplify 2.0 into 2.0 6.092 * [taylor]: Taking taylor expansion of (* n PI) in n 6.092 * [taylor]: Taking taylor expansion of n in n 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of PI in n 6.092 * [backup-simplify]: Simplify PI into PI 6.093 * [backup-simplify]: Simplify (* 0 PI) into 0 6.093 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.097 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.097 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.099 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.104 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 6.111 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.115 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.116 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 6.116 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.116 * [taylor]: Taking taylor expansion of 2.0 in n 6.116 * [backup-simplify]: Simplify 2.0 into 2.0 6.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.116 * [taylor]: Taking taylor expansion of PI in n 6.116 * [backup-simplify]: Simplify PI into PI 6.116 * [taylor]: Taking taylor expansion of n in n 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (/ PI 1) into PI 6.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.117 * [taylor]: Taking taylor expansion of 2.0 in n 6.117 * [backup-simplify]: Simplify 2.0 into 2.0 6.117 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.117 * [taylor]: Taking taylor expansion of PI in n 6.117 * [backup-simplify]: Simplify PI into PI 6.117 * [taylor]: Taking taylor expansion of n in n 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (/ PI 1) into PI 6.118 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.119 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.123 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.131 * [backup-simplify]: Simplify 0 into 0 6.132 * [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 6.134 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 6.135 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 6.135 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.136 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.136 * [taylor]: Taking taylor expansion of -2.0 in n 6.136 * [backup-simplify]: Simplify -2.0 into -2.0 6.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.136 * [taylor]: Taking taylor expansion of PI in n 6.136 * [backup-simplify]: Simplify PI into PI 6.136 * [taylor]: Taking taylor expansion of n in n 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 1 into 1 6.136 * [backup-simplify]: Simplify (/ PI 1) into PI 6.136 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.136 * [taylor]: Taking taylor expansion of -2.0 in n 6.136 * [backup-simplify]: Simplify -2.0 into -2.0 6.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.136 * [taylor]: Taking taylor expansion of PI in n 6.136 * [backup-simplify]: Simplify PI into PI 6.137 * [taylor]: Taking taylor expansion of n in n 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (/ PI 1) into PI 6.138 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.138 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.140 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.142 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.145 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.147 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.150 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.150 * [backup-simplify]: Simplify 0 into 0 6.151 * [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 6.153 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 6.154 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.155 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 6.155 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 6.155 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 6.155 * [taylor]: Taking taylor expansion of 1.0 in k 6.155 * [backup-simplify]: Simplify 1.0 into 1.0 6.155 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 6.155 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.155 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.155 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.155 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.155 * [taylor]: Taking taylor expansion of 0.5 in k 6.155 * [backup-simplify]: Simplify 0.5 into 0.5 6.155 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.155 * [taylor]: Taking taylor expansion of 1.0 in k 6.155 * [backup-simplify]: Simplify 1.0 into 1.0 6.155 * [taylor]: Taking taylor expansion of k in k 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.155 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.155 * [taylor]: Taking taylor expansion of 2.0 in k 6.155 * [backup-simplify]: Simplify 2.0 into 2.0 6.155 * [taylor]: Taking taylor expansion of (* n PI) in k 6.155 * [taylor]: Taking taylor expansion of n in k 6.155 * [backup-simplify]: Simplify n into n 6.155 * [taylor]: Taking taylor expansion of PI in k 6.155 * [backup-simplify]: Simplify PI into PI 6.155 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.156 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.156 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.156 * [backup-simplify]: Simplify (- 0) into 0 6.156 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.157 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.157 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 6.157 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 6.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.157 * [taylor]: Taking taylor expansion of k in k 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [backup-simplify]: Simplify (sqrt 0) into 0 6.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.160 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 6.160 * [taylor]: Taking taylor expansion of 1.0 in n 6.160 * [backup-simplify]: Simplify 1.0 into 1.0 6.160 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 6.160 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.160 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.160 * [taylor]: Taking taylor expansion of 0.5 in n 6.160 * [backup-simplify]: Simplify 0.5 into 0.5 6.160 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.160 * [taylor]: Taking taylor expansion of 1.0 in n 6.160 * [backup-simplify]: Simplify 1.0 into 1.0 6.160 * [taylor]: Taking taylor expansion of k in n 6.160 * [backup-simplify]: Simplify k into k 6.160 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.160 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.160 * [taylor]: Taking taylor expansion of 2.0 in n 6.160 * [backup-simplify]: Simplify 2.0 into 2.0 6.160 * [taylor]: Taking taylor expansion of (* n PI) in n 6.160 * [taylor]: Taking taylor expansion of n in n 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [taylor]: Taking taylor expansion of PI in n 6.160 * [backup-simplify]: Simplify PI into PI 6.161 * [backup-simplify]: Simplify (* 0 PI) into 0 6.161 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.165 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.166 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.166 * [backup-simplify]: Simplify (- k) into (- k) 6.166 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.166 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.168 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.169 * [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)))) 6.170 * [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))))) 6.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.170 * [taylor]: Taking taylor expansion of k in n 6.170 * [backup-simplify]: Simplify k into k 6.170 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.171 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 6.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 6.171 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 6.171 * [taylor]: Taking taylor expansion of 1.0 in n 6.171 * [backup-simplify]: Simplify 1.0 into 1.0 6.171 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 6.171 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.171 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.171 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.171 * [taylor]: Taking taylor expansion of 0.5 in n 6.171 * [backup-simplify]: Simplify 0.5 into 0.5 6.171 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.171 * [taylor]: Taking taylor expansion of 1.0 in n 6.171 * [backup-simplify]: Simplify 1.0 into 1.0 6.171 * [taylor]: Taking taylor expansion of k in n 6.171 * [backup-simplify]: Simplify k into k 6.171 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.171 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.171 * [taylor]: Taking taylor expansion of 2.0 in n 6.171 * [backup-simplify]: Simplify 2.0 into 2.0 6.171 * [taylor]: Taking taylor expansion of (* n PI) in n 6.171 * [taylor]: Taking taylor expansion of n in n 6.171 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [taylor]: Taking taylor expansion of PI in n 6.172 * [backup-simplify]: Simplify PI into PI 6.172 * [backup-simplify]: Simplify (* 0 PI) into 0 6.173 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.175 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.176 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.177 * [backup-simplify]: Simplify (- k) into (- k) 6.177 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.177 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.178 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.179 * [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)))) 6.180 * [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))))) 6.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.181 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.181 * [taylor]: Taking taylor expansion of k in n 6.181 * [backup-simplify]: Simplify k into k 6.181 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.181 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 6.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 6.183 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) 6.190 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) into (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) 6.190 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 6.190 * [taylor]: Taking taylor expansion of 1.0 in k 6.190 * [backup-simplify]: Simplify 1.0 into 1.0 6.190 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 6.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.190 * [taylor]: Taking taylor expansion of k in k 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [backup-simplify]: Simplify (sqrt 0) into 0 6.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.193 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.193 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.193 * [taylor]: Taking taylor expansion of 0.5 in k 6.193 * [backup-simplify]: Simplify 0.5 into 0.5 6.193 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.193 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.193 * [taylor]: Taking taylor expansion of 1.0 in k 6.193 * [backup-simplify]: Simplify 1.0 into 1.0 6.193 * [taylor]: Taking taylor expansion of k in k 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 1 into 1 6.193 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.193 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.193 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.193 * [taylor]: Taking taylor expansion of 2.0 in k 6.193 * [backup-simplify]: Simplify 2.0 into 2.0 6.193 * [taylor]: Taking taylor expansion of PI in k 6.193 * [backup-simplify]: Simplify PI into PI 6.194 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.195 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.195 * [taylor]: Taking taylor expansion of (log n) in k 6.195 * [taylor]: Taking taylor expansion of n in k 6.195 * [backup-simplify]: Simplify n into n 6.195 * [backup-simplify]: Simplify (log n) into (log n) 6.196 * [backup-simplify]: Simplify (- 0) into 0 6.196 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.198 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.199 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 6.201 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 6.202 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.204 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) into 0 6.204 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.207 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.209 * [backup-simplify]: Simplify (- 0) into 0 6.210 * [backup-simplify]: Simplify (+ 0 0) into 0 6.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 6.212 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.213 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.215 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.217 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 6.219 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))) into 0 6.219 * [taylor]: Taking taylor expansion of 0 in k 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.223 * [backup-simplify]: Simplify (+ 0 0) into 0 6.223 * [backup-simplify]: Simplify (- 1) into -1 6.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.225 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 6.227 * [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)))) 6.230 * [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)))))) 6.233 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.234 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.234 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.238 * [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 6.239 * [backup-simplify]: Simplify (- 0) into 0 6.239 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.240 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.241 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.243 * [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 6.244 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 6.245 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))))) into 0 6.245 * [taylor]: Taking taylor expansion of 0 in k 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.248 * [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 6.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify (- 0) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.251 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.255 * [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)))))) 6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.258 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.268 * [backup-simplify]: Simplify (+ (* 0 (* (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))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) 6.276 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) 6.281 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) 6.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 6.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.285 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.291 * [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 6.292 * [backup-simplify]: Simplify (- 0) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 k))))) into 0 6.294 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.296 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.297 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.299 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 6.300 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))))) into 0 6.300 * [taylor]: Taking taylor expansion of 0 in k 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.304 * [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 6.306 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [backup-simplify]: Simplify (- 0) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.308 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))))) into 0 6.318 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3))))))) 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.341 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3)))))))) (+ (* +nan.0 (* (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))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))) 6.362 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) 6.376 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) 6.398 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) 6.399 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) (sqrt (/ 1 k))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 6.399 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 6.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.399 * [taylor]: Taking taylor expansion of 1.0 in k 6.400 * [backup-simplify]: Simplify 1.0 into 1.0 6.400 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.400 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.400 * [taylor]: Taking taylor expansion of k in k 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.400 * [backup-simplify]: Simplify (sqrt 0) into 0 6.401 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.402 * [taylor]: Taking taylor expansion of 0.5 in k 6.402 * [backup-simplify]: Simplify 0.5 into 0.5 6.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.402 * [taylor]: Taking taylor expansion of 1.0 in k 6.402 * [backup-simplify]: Simplify 1.0 into 1.0 6.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.402 * [taylor]: Taking taylor expansion of k in k 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (/ 1 1) into 1 6.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.402 * [taylor]: Taking taylor expansion of 2.0 in k 6.402 * [backup-simplify]: Simplify 2.0 into 2.0 6.402 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.403 * [taylor]: Taking taylor expansion of PI in k 6.403 * [backup-simplify]: Simplify PI into PI 6.403 * [taylor]: Taking taylor expansion of n in k 6.403 * [backup-simplify]: Simplify n into n 6.403 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.403 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.403 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.403 * [backup-simplify]: Simplify (- 1) into -1 6.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.404 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.404 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 6.405 * [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))))) 6.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.405 * [taylor]: Taking taylor expansion of 1.0 in n 6.405 * [backup-simplify]: Simplify 1.0 into 1.0 6.405 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.405 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.405 * [taylor]: Taking taylor expansion of k in n 6.405 * [backup-simplify]: Simplify k into k 6.405 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 6.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 6.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.405 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.405 * [taylor]: Taking taylor expansion of 0.5 in n 6.405 * [backup-simplify]: Simplify 0.5 into 0.5 6.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.405 * [taylor]: Taking taylor expansion of 1.0 in n 6.405 * [backup-simplify]: Simplify 1.0 into 1.0 6.405 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.405 * [taylor]: Taking taylor expansion of k in n 6.405 * [backup-simplify]: Simplify k into k 6.405 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.405 * [taylor]: Taking taylor expansion of 2.0 in n 6.406 * [backup-simplify]: Simplify 2.0 into 2.0 6.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.406 * [taylor]: Taking taylor expansion of PI in n 6.406 * [backup-simplify]: Simplify PI into PI 6.406 * [taylor]: Taking taylor expansion of n in n 6.406 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify 1 into 1 6.406 * [backup-simplify]: Simplify (/ PI 1) into PI 6.407 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.408 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.408 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.408 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.408 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.410 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.411 * [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)))) 6.412 * [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))))) 6.412 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.412 * [taylor]: Taking taylor expansion of 1.0 in n 6.412 * [backup-simplify]: Simplify 1.0 into 1.0 6.413 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.413 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.413 * [taylor]: Taking taylor expansion of k in n 6.413 * [backup-simplify]: Simplify k into k 6.413 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 6.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 6.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.413 * [taylor]: Taking taylor expansion of 0.5 in n 6.413 * [backup-simplify]: Simplify 0.5 into 0.5 6.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.413 * [taylor]: Taking taylor expansion of 1.0 in n 6.413 * [backup-simplify]: Simplify 1.0 into 1.0 6.413 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.413 * [taylor]: Taking taylor expansion of k in n 6.413 * [backup-simplify]: Simplify k into k 6.413 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.413 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.413 * [taylor]: Taking taylor expansion of 2.0 in n 6.413 * [backup-simplify]: Simplify 2.0 into 2.0 6.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.414 * [taylor]: Taking taylor expansion of PI in n 6.414 * [backup-simplify]: Simplify PI into PI 6.414 * [taylor]: Taking taylor expansion of n in n 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 1 into 1 6.414 * [backup-simplify]: Simplify (/ PI 1) into PI 6.415 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.416 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.416 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.417 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.417 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.420 * [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)))) 6.422 * [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))))) 6.424 * [backup-simplify]: Simplify (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 6.425 * [backup-simplify]: Simplify (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 6.425 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 6.425 * [taylor]: Taking taylor expansion of 1.0 in k 6.425 * [backup-simplify]: Simplify 1.0 into 1.0 6.425 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 6.425 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.425 * [taylor]: Taking taylor expansion of k in k 6.426 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify 1 into 1 6.426 * [backup-simplify]: Simplify (sqrt 0) into 0 6.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.428 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.428 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.428 * [taylor]: Taking taylor expansion of 0.5 in k 6.428 * [backup-simplify]: Simplify 0.5 into 0.5 6.428 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.428 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.428 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.428 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.428 * [taylor]: Taking taylor expansion of 2.0 in k 6.428 * [backup-simplify]: Simplify 2.0 into 2.0 6.428 * [taylor]: Taking taylor expansion of PI in k 6.428 * [backup-simplify]: Simplify PI into PI 6.429 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.430 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.430 * [taylor]: Taking taylor expansion of (log n) in k 6.430 * [taylor]: Taking taylor expansion of n in k 6.430 * [backup-simplify]: Simplify n into n 6.430 * [backup-simplify]: Simplify (log n) into (log n) 6.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.430 * [taylor]: Taking taylor expansion of 1.0 in k 6.430 * [backup-simplify]: Simplify 1.0 into 1.0 6.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.430 * [taylor]: Taking taylor expansion of k in k 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.431 * [backup-simplify]: Simplify (/ 1 1) into 1 6.431 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.432 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.433 * [backup-simplify]: Simplify (- 1) into -1 6.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.434 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 6.436 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 6.437 * [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))))) 6.439 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into 0 6.439 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.441 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.442 * [backup-simplify]: Simplify (- 0) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.444 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.446 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.447 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 6.448 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 6.448 * [taylor]: Taking taylor expansion of 0 in k 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify (+ (* 0 0) (* +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))))))) 6.450 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 6.451 * [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))))))) 6.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.452 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.457 * [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 6.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.458 * [backup-simplify]: Simplify (- 0) into 0 6.458 * [backup-simplify]: Simplify (+ 0 0) into 0 6.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.461 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.462 * [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 6.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 6.464 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 6.465 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0 6.465 * [taylor]: Taking taylor expansion of 0 in k 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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))))))) 6.471 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 6.472 * [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))))))) 6.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.481 * [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 6.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.482 * [backup-simplify]: Simplify (- 0) into 0 6.482 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.485 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.487 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.490 * [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 6.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 6.493 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))))) into 0 6.496 * [taylor]: Taking taylor expansion of 0 in k 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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))))))) 6.503 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 6.504 * [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))))))) 6.507 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) 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)))))))) 6.507 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) (sqrt (/ 1 (- k)))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 6.507 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 6.507 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.508 * [taylor]: Taking taylor expansion of 1.0 in k 6.508 * [backup-simplify]: Simplify 1.0 into 1.0 6.508 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.508 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.508 * [taylor]: Taking taylor expansion of 0.5 in k 6.508 * [backup-simplify]: Simplify 0.5 into 0.5 6.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.508 * [taylor]: Taking taylor expansion of k in k 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.508 * [backup-simplify]: Simplify (/ 1 1) into 1 6.508 * [taylor]: Taking taylor expansion of 1.0 in k 6.508 * [backup-simplify]: Simplify 1.0 into 1.0 6.508 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.508 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.508 * [taylor]: Taking taylor expansion of -2.0 in k 6.508 * [backup-simplify]: Simplify -2.0 into -2.0 6.508 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.508 * [taylor]: Taking taylor expansion of PI in k 6.508 * [backup-simplify]: Simplify PI into PI 6.508 * [taylor]: Taking taylor expansion of n in k 6.508 * [backup-simplify]: Simplify n into n 6.508 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.508 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.508 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.509 * [backup-simplify]: Simplify (+ 1 0) into 1 6.509 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.509 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.509 * [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)))))) 6.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.509 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.509 * [taylor]: Taking taylor expansion of -1 in k 6.509 * [backup-simplify]: Simplify -1 into -1 6.509 * [taylor]: Taking taylor expansion of k in k 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.510 * [backup-simplify]: Simplify (/ -1 1) into -1 6.510 * [backup-simplify]: Simplify (sqrt 0) into 0 6.511 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.511 * [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))))))) 6.511 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 6.511 * [taylor]: Taking taylor expansion of 1.0 in n 6.511 * [backup-simplify]: Simplify 1.0 into 1.0 6.511 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 6.511 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.511 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.511 * [taylor]: Taking taylor expansion of 0.5 in n 6.511 * [backup-simplify]: Simplify 0.5 into 0.5 6.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.511 * [taylor]: Taking taylor expansion of k in n 6.511 * [backup-simplify]: Simplify k into k 6.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.511 * [taylor]: Taking taylor expansion of 1.0 in n 6.511 * [backup-simplify]: Simplify 1.0 into 1.0 6.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.511 * [taylor]: Taking taylor expansion of -2.0 in n 6.511 * [backup-simplify]: Simplify -2.0 into -2.0 6.511 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.511 * [taylor]: Taking taylor expansion of PI in n 6.511 * [backup-simplify]: Simplify PI into PI 6.512 * [taylor]: Taking taylor expansion of n in n 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (/ PI 1) into PI 6.512 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.513 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.513 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.513 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.514 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.515 * [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)))) 6.515 * [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))))) 6.515 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.515 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.515 * [taylor]: Taking taylor expansion of -1 in n 6.515 * [backup-simplify]: Simplify -1 into -1 6.516 * [taylor]: Taking taylor expansion of k in n 6.516 * [backup-simplify]: Simplify k into k 6.516 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 6.516 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 6.516 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 6.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 6.517 * [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))) 6.517 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 6.517 * [taylor]: Taking taylor expansion of 1.0 in n 6.517 * [backup-simplify]: Simplify 1.0 into 1.0 6.517 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 6.517 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.517 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.517 * [taylor]: Taking taylor expansion of 0.5 in n 6.517 * [backup-simplify]: Simplify 0.5 into 0.5 6.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.517 * [taylor]: Taking taylor expansion of k in n 6.517 * [backup-simplify]: Simplify k into k 6.517 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.517 * [taylor]: Taking taylor expansion of 1.0 in n 6.517 * [backup-simplify]: Simplify 1.0 into 1.0 6.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.517 * [taylor]: Taking taylor expansion of -2.0 in n 6.517 * [backup-simplify]: Simplify -2.0 into -2.0 6.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.517 * [taylor]: Taking taylor expansion of PI in n 6.517 * [backup-simplify]: Simplify PI into PI 6.517 * [taylor]: Taking taylor expansion of n in n 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.518 * [backup-simplify]: Simplify (/ PI 1) into PI 6.518 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.519 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.519 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.519 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.520 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.520 * [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)))) 6.521 * [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))))) 6.521 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.521 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.521 * [taylor]: Taking taylor expansion of -1 in n 6.521 * [backup-simplify]: Simplify -1 into -1 6.521 * [taylor]: Taking taylor expansion of k in n 6.521 * [backup-simplify]: Simplify k into k 6.521 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 6.521 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 6.521 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 6.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 6.522 * [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))) 6.523 * [backup-simplify]: Simplify (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) into (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) 6.523 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 6.523 * [taylor]: Taking taylor expansion of 1.0 in k 6.523 * [backup-simplify]: Simplify 1.0 into 1.0 6.523 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 6.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.523 * [taylor]: Taking taylor expansion of 0.5 in k 6.523 * [backup-simplify]: Simplify 0.5 into 0.5 6.523 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.523 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.523 * [taylor]: Taking taylor expansion of k in k 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [taylor]: Taking taylor expansion of 1.0 in k 6.524 * [backup-simplify]: Simplify 1.0 into 1.0 6.524 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.524 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.524 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.524 * [taylor]: Taking taylor expansion of -2.0 in k 6.524 * [backup-simplify]: Simplify -2.0 into -2.0 6.524 * [taylor]: Taking taylor expansion of PI in k 6.524 * [backup-simplify]: Simplify PI into PI 6.524 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.525 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.525 * [taylor]: Taking taylor expansion of (log n) in k 6.525 * [taylor]: Taking taylor expansion of n in k 6.525 * [backup-simplify]: Simplify n into n 6.525 * [backup-simplify]: Simplify (log n) into (log n) 6.525 * [backup-simplify]: Simplify (+ 1 0) into 1 6.525 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.526 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.527 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 6.527 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 6.528 * [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))))) 6.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.528 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.528 * [taylor]: Taking taylor expansion of -1 in k 6.528 * [backup-simplify]: Simplify -1 into -1 6.528 * [taylor]: Taking taylor expansion of k in k 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (/ -1 1) into -1 6.529 * [backup-simplify]: Simplify (sqrt 0) into 0 6.530 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.531 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 6.532 * [backup-simplify]: Simplify (* 1.0 (* +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)))))) 6.534 * [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)))))) 6.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.538 * [backup-simplify]: Simplify (+ 0 0) into 0 6.538 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.540 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.541 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.543 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.545 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 6.546 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))))) into 0 6.547 * [taylor]: Taking taylor expansion of 0 in k 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.553 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 6.556 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +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))))))) 6.557 * [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))))))) 6.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.563 * [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 6.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.564 * [backup-simplify]: Simplify (+ 0 0) into 0 6.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.568 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.570 * [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 6.571 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.571 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 6.573 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 6.575 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))))) into 0 6.575 * [taylor]: Taking taylor expansion of 0 in k 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.589 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 6.593 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +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))))))) 6.594 * [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))))))) 6.598 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +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)))))))))))) 6.599 * * * [progress]: simplifying candidates 6.601 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +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)))))))))))) 6.603 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ 1.0 2.0)) (pow (* (* 2.0 h2) h1) (/ h0 2.0)) (pow (* (* 2.0 h2) h1) (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0)))) (pow (* (* 2.0 h2) h1) (sqrt (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 h2) h1) (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0))) (pow (* (* 2.0 h2) h1) (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1)) (pow (* (* 2.0 h2) h1) (/ (sqrt (- 1.0 h0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 h2) h1) (/ (sqrt (- 1.0 h0)) (sqrt 2.0))) (pow (* (* 2.0 h2) h1) (/ (sqrt (- 1.0 h0)) 1)) (pow (* (* 2.0 h2) h1) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 h2) h1) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 h2) h1) (/ 1 1)) (pow (* (* 2.0 h2) h1) (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 h2) h1) (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0))) (pow (* (* 2.0 h2) h1) (/ (+ (sqrt 1.0) (sqrt h0)) 1)) (pow (* (* 2.0 h2) h1) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 h2) h1) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 h2) h1) (/ 1 1)) (pow (* (* 2.0 h2) h1) 1) (pow (* (* 2.0 h2) h1) (- 1.0 h0)) (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)) (log (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (exp (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2)) (* (* 2.0 h2) h1) (* (* 2.0 h2) h1) (+ (+ (log 2.0) (log h2)) (log h1)) (+ (log (* 2.0 h2)) (log h1)) (log (* (* 2.0 h2) h1)) (exp (* (* 2.0 h2) h1)) (* (* (* (* 2.0 2.0) 2.0) (* (* h2 h2) h2)) (* (* h1 h1) h1)) (* (* (* (* 2.0 h2) (* 2.0 h2)) (* 2.0 h2)) (* (* h1 h1) h1)) (* (cbrt (* (* 2.0 h2) h1)) (cbrt (* (* 2.0 h2) h1))) (cbrt (* (* 2.0 h2) h1)) (* (* (* (* 2.0 h2) h1) (* (* 2.0 h2) h1)) (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (* (* 2.0 h2) (* (cbrt h1) (cbrt h1))) (* (* 2.0 h2) (sqrt h1)) (* (* 2.0 h2) 1) (* h2 h1) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (log (sqrt h0))) (- (+ (log 1.0) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (log (sqrt h0))) (- (+ (log 1.0) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (log (sqrt h0))) (- (+ (log 1.0) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (log (sqrt h0))) (- (+ (log 1.0) (log (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (log (sqrt h0))) (- (log (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (log (sqrt h0))) (log (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (exp (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (* (sqrt h0) (sqrt h0)) (sqrt h0))) (/ (* (* (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (* (sqrt h0) (sqrt h0)) (sqrt h0))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (cbrt (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (* (* (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0)) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (sqrt (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (sqrt (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt h0))) (- (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (- (sqrt h0)) (/ 1.0 (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (cbrt (sqrt h0))) (/ 1.0 (sqrt (* (cbrt h0) (cbrt h0)))) (/ (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (sqrt (cbrt h0))) (/ 1.0 (sqrt (sqrt h0))) (/ (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (sqrt (sqrt h0))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (sqrt h0)) (/ 1.0 (sqrt (sqrt h0))) (/ (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (sqrt (sqrt h0))) (/ 1.0 1) (/ (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (sqrt h0)) (/ 1 (sqrt h0)) (/ (sqrt h0) (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt (sqrt h0))) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt (sqrt h0))) (/ (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) 1) (/ (sqrt h0) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (sqrt h0) (pow (* (* 2.0 h2) h1) (/ h0 2.0))) (- (+ (* h5 (* (pow h0 2) (* (pow (log (* 2.0 h2)) 2) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (+ (* h5 (* (pow h0 2) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (pow (log h1) 2)))) (+ (* h4 (* (pow h0 2) (* (log (* 2.0 h2)) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1))))) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (+ (* h3 (* h0 (* (log (* 2.0 h2)) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (* h3 (* h0 (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1)))))) (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (- (+ (* h6 (* (pow h0 2) (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))))) (- (+ (* h6 (* (pow h0 2) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1)))) (- (+ (* h6 (* (pow h0 2) (* (log (* 2.0 h2)) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (- (+ (* h6 (* h0 (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1)))) (- (+ (* h6 (* (pow h0 2) (* (pow (log (* 2.0 h2)) 2) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (- (+ (* h6 (* h0 (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))))) (- (+ (* h6 (* (pow h0 2) (* (log (* 2.0 h2)) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1))))) (- (+ (* h6 (* h0 (* (log (* 2.0 h2)) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (- (+ (* h6 (* (pow h0 2) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (pow (log h1) 2)))) (- (* h6 (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))))))))))))))))))))))) (- (+ (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 3))) (- (+ (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) h0)) (- (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 2)))))))) (- (+ (* h6 (/ (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) h0)) (- (+ (* h6 (/ (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (pow h0 2))) (- (* h6 (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))))))))) 7.855 * * * [progress]: adding candidates to table 8.183 * * [progress]: iteration 3 / 4 8.183 * * * [progress]: picking best candidate 8.218 * * * * [pick]: Picked # 8.218 * * * [progress]: localizing error 8.237 * * * [progress]: generating rewritten candidates 8.237 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 8.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 8.298 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.316 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.368 * * * [progress]: generating series expansions 8.368 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 8.369 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 8.369 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.369 * [taylor]: Taking taylor expansion of 0.5 in k 8.369 * [backup-simplify]: Simplify 0.5 into 0.5 8.369 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.369 * [taylor]: Taking taylor expansion of 1.0 in k 8.369 * [backup-simplify]: Simplify 1.0 into 1.0 8.369 * [taylor]: Taking taylor expansion of k in k 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.369 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.369 * [taylor]: Taking taylor expansion of 2.0 in k 8.369 * [backup-simplify]: Simplify 2.0 into 2.0 8.369 * [taylor]: Taking taylor expansion of (* n PI) in k 8.369 * [taylor]: Taking taylor expansion of n in k 8.369 * [backup-simplify]: Simplify n into n 8.369 * [taylor]: Taking taylor expansion of PI in k 8.369 * [backup-simplify]: Simplify PI into PI 8.369 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.370 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.370 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.370 * [backup-simplify]: Simplify (- 0) into 0 8.370 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.370 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.370 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.371 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.371 * [taylor]: Taking taylor expansion of 0.5 in n 8.371 * [backup-simplify]: Simplify 0.5 into 0.5 8.371 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.371 * [taylor]: Taking taylor expansion of 1.0 in n 8.371 * [backup-simplify]: Simplify 1.0 into 1.0 8.371 * [taylor]: Taking taylor expansion of k in n 8.371 * [backup-simplify]: Simplify k into k 8.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.371 * [taylor]: Taking taylor expansion of 2.0 in n 8.371 * [backup-simplify]: Simplify 2.0 into 2.0 8.371 * [taylor]: Taking taylor expansion of (* n PI) in n 8.371 * [taylor]: Taking taylor expansion of n in n 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 1 into 1 8.371 * [taylor]: Taking taylor expansion of PI in n 8.371 * [backup-simplify]: Simplify PI into PI 8.371 * [backup-simplify]: Simplify (* 0 PI) into 0 8.372 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.373 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.374 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.374 * [backup-simplify]: Simplify (- k) into (- k) 8.374 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.374 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.375 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.376 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.377 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.377 * [taylor]: Taking taylor expansion of 0.5 in n 8.377 * [backup-simplify]: Simplify 0.5 into 0.5 8.377 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.377 * [taylor]: Taking taylor expansion of 1.0 in n 8.377 * [backup-simplify]: Simplify 1.0 into 1.0 8.377 * [taylor]: Taking taylor expansion of k in n 8.377 * [backup-simplify]: Simplify k into k 8.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.377 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.377 * [taylor]: Taking taylor expansion of 2.0 in n 8.377 * [backup-simplify]: Simplify 2.0 into 2.0 8.377 * [taylor]: Taking taylor expansion of (* n PI) in n 8.377 * [taylor]: Taking taylor expansion of n in n 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of PI in n 8.377 * [backup-simplify]: Simplify PI into PI 8.377 * [backup-simplify]: Simplify (* 0 PI) into 0 8.377 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.379 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.380 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.380 * [backup-simplify]: Simplify (- k) into (- k) 8.380 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.380 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.382 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.382 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.383 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.383 * [taylor]: Taking taylor expansion of 0.5 in k 8.383 * [backup-simplify]: Simplify 0.5 into 0.5 8.383 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.383 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.383 * [taylor]: Taking taylor expansion of 1.0 in k 8.383 * [backup-simplify]: Simplify 1.0 into 1.0 8.383 * [taylor]: Taking taylor expansion of k in k 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 1 into 1 8.383 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.383 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.383 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.383 * [taylor]: Taking taylor expansion of 2.0 in k 8.383 * [backup-simplify]: Simplify 2.0 into 2.0 8.383 * [taylor]: Taking taylor expansion of PI in k 8.383 * [backup-simplify]: Simplify PI into PI 8.383 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.384 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.384 * [taylor]: Taking taylor expansion of (log n) in k 8.384 * [taylor]: Taking taylor expansion of n in k 8.384 * [backup-simplify]: Simplify n into n 8.384 * [backup-simplify]: Simplify (log n) into (log n) 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.384 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.385 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.386 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.387 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 8.389 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.390 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.394 * [backup-simplify]: Simplify (- 0) into 0 8.394 * [backup-simplify]: Simplify (+ 0 0) into 0 8.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.396 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.397 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.398 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.399 * [taylor]: Taking taylor expansion of 0 in k 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.401 * [backup-simplify]: Simplify (- 1) into -1 8.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.402 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.404 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 8.406 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.408 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.414 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.416 * [backup-simplify]: Simplify (- 0) into 0 8.416 * [backup-simplify]: Simplify (+ 0 0) into 0 8.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.418 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.419 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.420 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.420 * [taylor]: Taking taylor expansion of 0 in k 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.423 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.425 * [backup-simplify]: Simplify (- 0) into 0 8.425 * [backup-simplify]: Simplify (+ 0 0) into 0 8.426 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.431 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 8.436 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 8.446 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 8.447 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 8.447 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.447 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.447 * [taylor]: Taking taylor expansion of 0.5 in k 8.447 * [backup-simplify]: Simplify 0.5 into 0.5 8.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.447 * [taylor]: Taking taylor expansion of 1.0 in k 8.447 * [backup-simplify]: Simplify 1.0 into 1.0 8.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.447 * [taylor]: Taking taylor expansion of k in k 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 1 into 1 8.448 * [backup-simplify]: Simplify (/ 1 1) into 1 8.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.448 * [taylor]: Taking taylor expansion of 2.0 in k 8.448 * [backup-simplify]: Simplify 2.0 into 2.0 8.448 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.448 * [taylor]: Taking taylor expansion of PI in k 8.448 * [backup-simplify]: Simplify PI into PI 8.448 * [taylor]: Taking taylor expansion of n in k 8.448 * [backup-simplify]: Simplify n into n 8.448 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.448 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.448 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.449 * [backup-simplify]: Simplify (- 1) into -1 8.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.449 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.450 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 8.450 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 8.450 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.450 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.450 * [taylor]: Taking taylor expansion of 0.5 in n 8.450 * [backup-simplify]: Simplify 0.5 into 0.5 8.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.450 * [taylor]: Taking taylor expansion of 1.0 in n 8.450 * [backup-simplify]: Simplify 1.0 into 1.0 8.450 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.450 * [taylor]: Taking taylor expansion of k in n 8.450 * [backup-simplify]: Simplify k into k 8.450 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.450 * [taylor]: Taking taylor expansion of 2.0 in n 8.450 * [backup-simplify]: Simplify 2.0 into 2.0 8.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.450 * [taylor]: Taking taylor expansion of PI in n 8.450 * [backup-simplify]: Simplify PI into PI 8.450 * [taylor]: Taking taylor expansion of n in n 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.451 * [backup-simplify]: Simplify (/ PI 1) into PI 8.452 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.453 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.453 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.453 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.453 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.456 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.457 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.457 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.457 * [taylor]: Taking taylor expansion of 0.5 in n 8.457 * [backup-simplify]: Simplify 0.5 into 0.5 8.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.457 * [taylor]: Taking taylor expansion of 1.0 in n 8.457 * [backup-simplify]: Simplify 1.0 into 1.0 8.457 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.457 * [taylor]: Taking taylor expansion of k in n 8.457 * [backup-simplify]: Simplify k into k 8.457 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.457 * [taylor]: Taking taylor expansion of 2.0 in n 8.457 * [backup-simplify]: Simplify 2.0 into 2.0 8.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.457 * [taylor]: Taking taylor expansion of PI in n 8.457 * [backup-simplify]: Simplify PI into PI 8.457 * [taylor]: Taking taylor expansion of n in n 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.458 * [backup-simplify]: Simplify (/ PI 1) into PI 8.458 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.459 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.459 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.459 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.459 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.460 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.461 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.461 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.461 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.461 * [taylor]: Taking taylor expansion of 0.5 in k 8.461 * [backup-simplify]: Simplify 0.5 into 0.5 8.461 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.462 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.462 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.462 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.462 * [taylor]: Taking taylor expansion of 2.0 in k 8.462 * [backup-simplify]: Simplify 2.0 into 2.0 8.462 * [taylor]: Taking taylor expansion of PI in k 8.462 * [backup-simplify]: Simplify PI into PI 8.462 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.463 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.463 * [taylor]: Taking taylor expansion of (log n) in k 8.463 * [taylor]: Taking taylor expansion of n in k 8.463 * [backup-simplify]: Simplify n into n 8.463 * [backup-simplify]: Simplify (log n) into (log n) 8.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.463 * [taylor]: Taking taylor expansion of 1.0 in k 8.463 * [backup-simplify]: Simplify 1.0 into 1.0 8.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.463 * [taylor]: Taking taylor expansion of k in k 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.463 * [backup-simplify]: Simplify (/ 1 1) into 1 8.463 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.464 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.464 * [backup-simplify]: Simplify (- 1) into -1 8.464 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.465 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.466 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 8.466 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.467 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.468 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.470 * [backup-simplify]: Simplify (- 0) into 0 8.470 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.471 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.472 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.473 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.473 * [taylor]: Taking taylor expansion of 0 in k 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.474 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.477 * [backup-simplify]: Simplify (- 0) into 0 8.477 * [backup-simplify]: Simplify (+ 0 0) into 0 8.478 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.478 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.479 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.481 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.481 * [taylor]: Taking taylor expansion of 0 in k 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.490 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.490 * [backup-simplify]: Simplify (- 0) into 0 8.491 * [backup-simplify]: Simplify (+ 0 0) into 0 8.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.493 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.495 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.498 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.498 * [taylor]: Taking taylor expansion of 0 in k 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 8.501 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 8.501 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.501 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.501 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.501 * [taylor]: Taking taylor expansion of 0.5 in k 8.501 * [backup-simplify]: Simplify 0.5 into 0.5 8.501 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.501 * [taylor]: Taking taylor expansion of k in k 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 1 into 1 8.501 * [backup-simplify]: Simplify (/ 1 1) into 1 8.501 * [taylor]: Taking taylor expansion of 1.0 in k 8.501 * [backup-simplify]: Simplify 1.0 into 1.0 8.501 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.501 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.502 * [taylor]: Taking taylor expansion of -2.0 in k 8.502 * [backup-simplify]: Simplify -2.0 into -2.0 8.502 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.502 * [taylor]: Taking taylor expansion of PI in k 8.502 * [backup-simplify]: Simplify PI into PI 8.502 * [taylor]: Taking taylor expansion of n in k 8.502 * [backup-simplify]: Simplify n into n 8.502 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.502 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.502 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.502 * [backup-simplify]: Simplify (+ 1 0) into 1 8.503 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.503 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 8.503 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 8.503 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.503 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.504 * [taylor]: Taking taylor expansion of 0.5 in n 8.504 * [backup-simplify]: Simplify 0.5 into 0.5 8.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.504 * [taylor]: Taking taylor expansion of k in n 8.504 * [backup-simplify]: Simplify k into k 8.504 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.504 * [taylor]: Taking taylor expansion of 1.0 in n 8.504 * [backup-simplify]: Simplify 1.0 into 1.0 8.504 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.504 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.504 * [taylor]: Taking taylor expansion of -2.0 in n 8.504 * [backup-simplify]: Simplify -2.0 into -2.0 8.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.504 * [taylor]: Taking taylor expansion of PI in n 8.504 * [backup-simplify]: Simplify PI into PI 8.504 * [taylor]: Taking taylor expansion of n in n 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 1 into 1 8.505 * [backup-simplify]: Simplify (/ PI 1) into PI 8.505 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.506 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.506 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.506 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.507 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.508 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.508 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.508 * [taylor]: Taking taylor expansion of 0.5 in n 8.508 * [backup-simplify]: Simplify 0.5 into 0.5 8.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.508 * [taylor]: Taking taylor expansion of k in n 8.508 * [backup-simplify]: Simplify k into k 8.508 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.508 * [taylor]: Taking taylor expansion of 1.0 in n 8.509 * [backup-simplify]: Simplify 1.0 into 1.0 8.509 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.509 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.509 * [taylor]: Taking taylor expansion of -2.0 in n 8.509 * [backup-simplify]: Simplify -2.0 into -2.0 8.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.509 * [taylor]: Taking taylor expansion of PI in n 8.509 * [backup-simplify]: Simplify PI into PI 8.509 * [taylor]: Taking taylor expansion of n in n 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (/ PI 1) into PI 8.509 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.510 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.510 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.510 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.512 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.512 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.513 * [taylor]: Taking taylor expansion of 0.5 in k 8.513 * [backup-simplify]: Simplify 0.5 into 0.5 8.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.513 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.513 * [taylor]: Taking taylor expansion of k in k 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (/ 1 1) into 1 8.513 * [taylor]: Taking taylor expansion of 1.0 in k 8.513 * [backup-simplify]: Simplify 1.0 into 1.0 8.513 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.513 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.513 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.513 * [taylor]: Taking taylor expansion of -2.0 in k 8.513 * [backup-simplify]: Simplify -2.0 into -2.0 8.513 * [taylor]: Taking taylor expansion of PI in k 8.513 * [backup-simplify]: Simplify PI into PI 8.513 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.514 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.514 * [taylor]: Taking taylor expansion of (log n) in k 8.514 * [taylor]: Taking taylor expansion of n in k 8.514 * [backup-simplify]: Simplify n into n 8.514 * [backup-simplify]: Simplify (log n) into (log n) 8.514 * [backup-simplify]: Simplify (+ 1 0) into 1 8.514 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.515 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.516 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 8.516 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 8.517 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.518 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.519 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.521 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.523 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.530 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.530 * [taylor]: Taking taylor expansion of 0 in k 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.533 * [backup-simplify]: Simplify (+ 0 0) into 0 8.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.536 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.537 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.537 * [taylor]: Taking taylor expansion of 0 in k 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.542 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.542 * [backup-simplify]: Simplify (+ 0 0) into 0 8.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.545 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.547 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.547 * [taylor]: Taking taylor expansion of 0 in k 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.548 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 8.548 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.548 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.548 * [taylor]: Taking taylor expansion of 2.0 in n 8.548 * [backup-simplify]: Simplify 2.0 into 2.0 8.548 * [taylor]: Taking taylor expansion of (* n PI) in n 8.548 * [taylor]: Taking taylor expansion of n in n 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.548 * [taylor]: Taking taylor expansion of PI in n 8.548 * [backup-simplify]: Simplify PI into PI 8.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.548 * [taylor]: Taking taylor expansion of 2.0 in n 8.548 * [backup-simplify]: Simplify 2.0 into 2.0 8.548 * [taylor]: Taking taylor expansion of (* n PI) in n 8.548 * [taylor]: Taking taylor expansion of n in n 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.548 * [taylor]: Taking taylor expansion of PI in n 8.548 * [backup-simplify]: Simplify PI into PI 8.549 * [backup-simplify]: Simplify (* 0 PI) into 0 8.549 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.549 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.551 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.551 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.552 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.552 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.554 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.555 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.555 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.557 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.557 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.562 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.562 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.562 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.562 * [taylor]: Taking taylor expansion of 2.0 in n 8.562 * [backup-simplify]: Simplify 2.0 into 2.0 8.562 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.562 * [taylor]: Taking taylor expansion of PI in n 8.562 * [backup-simplify]: Simplify PI into PI 8.562 * [taylor]: Taking taylor expansion of n in n 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (/ PI 1) into PI 8.562 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.562 * [taylor]: Taking taylor expansion of 2.0 in n 8.562 * [backup-simplify]: Simplify 2.0 into 2.0 8.562 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.562 * [taylor]: Taking taylor expansion of PI in n 8.562 * [backup-simplify]: Simplify PI into PI 8.562 * [taylor]: Taking taylor expansion of n in n 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (/ PI 1) into PI 8.563 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.563 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.569 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.570 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.570 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.572 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.573 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.573 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.573 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.573 * [taylor]: Taking taylor expansion of -2.0 in n 8.573 * [backup-simplify]: Simplify -2.0 into -2.0 8.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.573 * [taylor]: Taking taylor expansion of PI in n 8.573 * [backup-simplify]: Simplify PI into PI 8.573 * [taylor]: Taking taylor expansion of n in n 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ PI 1) into PI 8.574 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.574 * [taylor]: Taking taylor expansion of -2.0 in n 8.574 * [backup-simplify]: Simplify -2.0 into -2.0 8.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.574 * [taylor]: Taking taylor expansion of PI in n 8.574 * [backup-simplify]: Simplify PI into PI 8.574 * [taylor]: Taking taylor expansion of n in n 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (/ PI 1) into PI 8.575 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.575 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.577 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.577 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.579 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.582 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.582 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.584 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.584 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.586 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.588 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.588 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.589 * [backup-simplify]: Simplify (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) 8.589 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in (k n) around 0 8.589 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in n 8.589 * [taylor]: Taking taylor expansion of 1.0 in n 8.589 * [backup-simplify]: Simplify 1.0 into 1.0 8.589 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 8.589 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.589 * [taylor]: Taking taylor expansion of k in n 8.589 * [backup-simplify]: Simplify k into k 8.589 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 8.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 8.589 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 8.589 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.589 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.589 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.589 * [taylor]: Taking taylor expansion of 0.5 in n 8.589 * [backup-simplify]: Simplify 0.5 into 0.5 8.589 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.589 * [taylor]: Taking taylor expansion of 1.0 in n 8.589 * [backup-simplify]: Simplify 1.0 into 1.0 8.589 * [taylor]: Taking taylor expansion of k in n 8.589 * [backup-simplify]: Simplify k into k 8.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.589 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.589 * [taylor]: Taking taylor expansion of 2.0 in n 8.589 * [backup-simplify]: Simplify 2.0 into 2.0 8.589 * [taylor]: Taking taylor expansion of (* n PI) in n 8.589 * [taylor]: Taking taylor expansion of n in n 8.589 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify 1 into 1 8.589 * [taylor]: Taking taylor expansion of PI in n 8.589 * [backup-simplify]: Simplify PI into PI 8.590 * [backup-simplify]: Simplify (* 0 PI) into 0 8.590 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.592 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.592 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.592 * [backup-simplify]: Simplify (- k) into (- k) 8.592 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.592 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.593 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.594 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.595 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.596 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) 8.596 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in k 8.596 * [taylor]: Taking taylor expansion of 1.0 in k 8.596 * [backup-simplify]: Simplify 1.0 into 1.0 8.596 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.596 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.596 * [taylor]: Taking taylor expansion of k in k 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (sqrt 0) into 0 8.597 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.597 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.597 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.597 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.597 * [taylor]: Taking taylor expansion of 0.5 in k 8.597 * [backup-simplify]: Simplify 0.5 into 0.5 8.597 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.597 * [taylor]: Taking taylor expansion of 1.0 in k 8.597 * [backup-simplify]: Simplify 1.0 into 1.0 8.597 * [taylor]: Taking taylor expansion of k in k 8.597 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.597 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.597 * [taylor]: Taking taylor expansion of 2.0 in k 8.597 * [backup-simplify]: Simplify 2.0 into 2.0 8.597 * [taylor]: Taking taylor expansion of (* n PI) in k 8.597 * [taylor]: Taking taylor expansion of n in k 8.597 * [backup-simplify]: Simplify n into n 8.597 * [taylor]: Taking taylor expansion of PI in k 8.597 * [backup-simplify]: Simplify PI into PI 8.597 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.597 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.597 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.598 * [backup-simplify]: Simplify (- 0) into 0 8.598 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.598 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.598 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.598 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.599 * [backup-simplify]: Simplify (/ 1 (pow (* 2.0 (* n PI)) 0.5)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) 8.599 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in k 8.599 * [taylor]: Taking taylor expansion of 1.0 in k 8.599 * [backup-simplify]: Simplify 1.0 into 1.0 8.599 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.599 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.599 * [taylor]: Taking taylor expansion of k in k 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [backup-simplify]: Simplify (sqrt 0) into 0 8.600 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.600 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.600 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.600 * [taylor]: Taking taylor expansion of 0.5 in k 8.600 * [backup-simplify]: Simplify 0.5 into 0.5 8.600 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.600 * [taylor]: Taking taylor expansion of 1.0 in k 8.600 * [backup-simplify]: Simplify 1.0 into 1.0 8.600 * [taylor]: Taking taylor expansion of k in k 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.600 * [taylor]: Taking taylor expansion of 2.0 in k 8.600 * [backup-simplify]: Simplify 2.0 into 2.0 8.600 * [taylor]: Taking taylor expansion of (* n PI) in k 8.600 * [taylor]: Taking taylor expansion of n in k 8.600 * [backup-simplify]: Simplify n into n 8.600 * [taylor]: Taking taylor expansion of PI in k 8.600 * [backup-simplify]: Simplify PI into PI 8.600 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.600 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.600 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.601 * [backup-simplify]: Simplify (- 0) into 0 8.601 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.601 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.601 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.601 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.601 * [backup-simplify]: Simplify (/ 1 (pow (* 2.0 (* n PI)) 0.5)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) 8.602 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) into 0 8.603 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.603 * [taylor]: Taking taylor expansion of 0 in n 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 8.604 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 8.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 8.604 * [backup-simplify]: Simplify (- 1) into -1 8.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.605 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.606 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 8.606 * [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))) 8.608 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) 8.610 * [backup-simplify]: Simplify (+ (* 0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) 8.611 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) 8.611 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 8.611 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 8.611 * [taylor]: Taking taylor expansion of +nan.0 in n 8.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.611 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 8.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 8.612 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.612 * [taylor]: Taking taylor expansion of 0.5 in n 8.612 * [backup-simplify]: Simplify 0.5 into 0.5 8.612 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.612 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.612 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.612 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.612 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.612 * [taylor]: Taking taylor expansion of 1.0 in n 8.612 * [backup-simplify]: Simplify 1.0 into 1.0 8.612 * [taylor]: Taking taylor expansion of (log PI) in n 8.612 * [taylor]: Taking taylor expansion of PI in n 8.612 * [backup-simplify]: Simplify PI into PI 8.612 * [backup-simplify]: Simplify (log PI) into (log PI) 8.613 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.614 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.614 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.614 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.614 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.614 * [taylor]: Taking taylor expansion of 1.0 in n 8.614 * [backup-simplify]: Simplify 1.0 into 1.0 8.614 * [taylor]: Taking taylor expansion of (log n) in n 8.614 * [taylor]: Taking taylor expansion of n in n 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 1 into 1 8.615 * [backup-simplify]: Simplify (log 1) into 0 8.615 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.615 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.615 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.615 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.615 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.615 * [taylor]: Taking taylor expansion of 1.0 in n 8.615 * [backup-simplify]: Simplify 1.0 into 1.0 8.615 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.615 * [taylor]: Taking taylor expansion of 2.0 in n 8.615 * [backup-simplify]: Simplify 2.0 into 2.0 8.616 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.617 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.618 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.619 * [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) 8.620 * [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) 8.622 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 8.623 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0)) 8.625 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0))) 8.626 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) 8.628 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) 8.629 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) 8.631 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) 8.631 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 8.643 * [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 8.643 * [backup-simplify]: Simplify (- 0) into 0 8.644 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.646 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 8.647 * [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))) 8.654 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* 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))) (pow (* 2.0 (* n PI)) 0.5))) (* (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) 8.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.660 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) 8.663 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) (+ (* 0 (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) 8.664 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 8.664 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 8.664 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 8.664 * [taylor]: Taking taylor expansion of +nan.0 in n 8.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.664 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 8.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 8.664 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.664 * [taylor]: Taking taylor expansion of 0.5 in n 8.664 * [backup-simplify]: Simplify 0.5 into 0.5 8.664 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.664 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.664 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.664 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.664 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.664 * [taylor]: Taking taylor expansion of 1.0 in n 8.664 * [backup-simplify]: Simplify 1.0 into 1.0 8.664 * [taylor]: Taking taylor expansion of (log PI) in n 8.664 * [taylor]: Taking taylor expansion of PI in n 8.664 * [backup-simplify]: Simplify PI into PI 8.664 * [backup-simplify]: Simplify (log PI) into (log PI) 8.665 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.666 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.666 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.666 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.666 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.666 * [taylor]: Taking taylor expansion of 1.0 in n 8.666 * [backup-simplify]: Simplify 1.0 into 1.0 8.666 * [taylor]: Taking taylor expansion of (log n) in n 8.666 * [taylor]: Taking taylor expansion of n in n 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [backup-simplify]: Simplify (log 1) into 0 8.667 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.667 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.667 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.667 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.667 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.667 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.667 * [taylor]: Taking taylor expansion of 1.0 in n 8.667 * [backup-simplify]: Simplify 1.0 into 1.0 8.667 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.667 * [taylor]: Taking taylor expansion of 2.0 in n 8.667 * [backup-simplify]: Simplify 2.0 into 2.0 8.667 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.668 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.669 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.669 * [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) 8.670 * [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) 8.671 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 8.672 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0)) 8.673 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0))) 8.674 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) 8.674 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 8.674 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 8.674 * [taylor]: Taking taylor expansion of +nan.0 in n 8.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.674 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 8.674 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 8.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 8.674 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.674 * [taylor]: Taking taylor expansion of 0.5 in n 8.674 * [backup-simplify]: Simplify 0.5 into 0.5 8.674 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.674 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.674 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.674 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.674 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.674 * [taylor]: Taking taylor expansion of 1.0 in n 8.674 * [backup-simplify]: Simplify 1.0 into 1.0 8.674 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.674 * [taylor]: Taking taylor expansion of 2.0 in n 8.674 * [backup-simplify]: Simplify 2.0 into 2.0 8.674 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.675 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.676 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.676 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.676 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.676 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.676 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.676 * [taylor]: Taking taylor expansion of 1.0 in n 8.676 * [backup-simplify]: Simplify 1.0 into 1.0 8.676 * [taylor]: Taking taylor expansion of (log PI) in n 8.676 * [taylor]: Taking taylor expansion of PI in n 8.676 * [backup-simplify]: Simplify PI into PI 8.676 * [backup-simplify]: Simplify (log PI) into (log PI) 8.677 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.678 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.678 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.678 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.678 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.678 * [taylor]: Taking taylor expansion of 1.0 in n 8.678 * [backup-simplify]: Simplify 1.0 into 1.0 8.678 * [taylor]: Taking taylor expansion of (log n) in n 8.678 * [taylor]: Taking taylor expansion of n in n 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.678 * [backup-simplify]: Simplify (log 1) into 0 8.679 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.679 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.679 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.679 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 8.680 * [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) 8.681 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 8.682 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0)) 8.684 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0))) 8.685 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) 8.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.685 * [taylor]: Taking taylor expansion of 2.0 in n 8.685 * [backup-simplify]: Simplify 2.0 into 2.0 8.685 * [taylor]: Taking taylor expansion of (* n PI) in n 8.685 * [taylor]: Taking taylor expansion of n in n 8.685 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [taylor]: Taking taylor expansion of PI in n 8.686 * [backup-simplify]: Simplify PI into PI 8.686 * [backup-simplify]: Simplify (* 0 PI) into 0 8.687 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.688 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.690 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.691 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.693 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) 8.694 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.697 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) 8.700 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) 8.702 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) into (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))) 8.709 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))))) 8.716 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))))))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))))) 8.722 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))))) 8.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 8.724 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 8.725 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 8.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.726 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 8.727 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 8.727 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 8.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 8.728 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 8.729 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 8.730 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 8.732 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) (/ 0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0))))) into 0 8.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1)))) 1) into 0 8.734 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0)))) into 0 8.736 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 8.737 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 8.737 * [backup-simplify]: Simplify (- 0) into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 8.740 * [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 8.741 * [backup-simplify]: Simplify (- 0) into 0 8.741 * [backup-simplify]: Simplify (+ 0 0) into 0 8.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 8.744 * [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))) 8.753 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* -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))) (pow (* 2.0 (* n PI)) 0.5))) (* (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) (/ (* 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))) (pow (* 2.0 (* n PI)) 0.5))) (* (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (* 0.020833333333333332 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 8.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.771 * [backup-simplify]: Simplify (+ (* 0 (* 0.020833333333333332 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 3)))) (+ (* +nan.0 (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))) 8.780 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) (+ (* 0 (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))))) 8.780 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))))) in n 8.780 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))))))) in n 8.780 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 8.780 * [taylor]: Taking taylor expansion of +nan.0 in n 8.780 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.780 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 8.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 8.780 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.780 * [taylor]: Taking taylor expansion of 0.5 in n 8.780 * [backup-simplify]: Simplify 0.5 into 0.5 8.780 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.780 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.780 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.780 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.780 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.780 * [taylor]: Taking taylor expansion of 1.0 in n 8.780 * [backup-simplify]: Simplify 1.0 into 1.0 8.780 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.780 * [taylor]: Taking taylor expansion of 2.0 in n 8.780 * [backup-simplify]: Simplify 2.0 into 2.0 8.781 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.781 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.782 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.782 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.782 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.782 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.782 * [taylor]: Taking taylor expansion of 1.0 in n 8.782 * [backup-simplify]: Simplify 1.0 into 1.0 8.782 * [taylor]: Taking taylor expansion of (log n) in n 8.782 * [taylor]: Taking taylor expansion of n in n 8.782 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify 1 into 1 8.783 * [backup-simplify]: Simplify (log 1) into 0 8.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.783 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.783 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.783 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.783 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.783 * [taylor]: Taking taylor expansion of 1.0 in n 8.783 * [backup-simplify]: Simplify 1.0 into 1.0 8.783 * [taylor]: Taking taylor expansion of (log PI) in n 8.783 * [taylor]: Taking taylor expansion of PI in n 8.783 * [backup-simplify]: Simplify PI into PI 8.783 * [backup-simplify]: Simplify (log PI) into (log PI) 8.784 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.785 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.785 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 8.786 * [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) 8.787 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 8.788 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0)) 8.789 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0))) 8.790 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) 8.790 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))) in n 8.790 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))))) in n 8.790 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 8.790 * [taylor]: Taking taylor expansion of +nan.0 in n 8.790 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.790 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 8.790 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 8.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 8.790 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.790 * [taylor]: Taking taylor expansion of 0.5 in n 8.790 * [backup-simplify]: Simplify 0.5 into 0.5 8.790 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.790 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.790 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.790 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.790 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.790 * [taylor]: Taking taylor expansion of 1.0 in n 8.790 * [backup-simplify]: Simplify 1.0 into 1.0 8.790 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.790 * [taylor]: Taking taylor expansion of 2.0 in n 8.790 * [backup-simplify]: Simplify 2.0 into 2.0 8.791 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.791 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.792 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.792 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.792 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.792 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.792 * [taylor]: Taking taylor expansion of 1.0 in n 8.792 * [backup-simplify]: Simplify 1.0 into 1.0 8.792 * [taylor]: Taking taylor expansion of (log PI) in n 8.792 * [taylor]: Taking taylor expansion of PI in n 8.792 * [backup-simplify]: Simplify PI into PI 8.792 * [backup-simplify]: Simplify (log PI) into (log PI) 8.793 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.794 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.794 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.794 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.794 * [taylor]: Taking taylor expansion of 1.0 in n 8.794 * [backup-simplify]: Simplify 1.0 into 1.0 8.794 * [taylor]: Taking taylor expansion of (log n) in n 8.794 * [taylor]: Taking taylor expansion of n in n 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [backup-simplify]: Simplify (log 1) into 0 8.795 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.795 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.795 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.795 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 8.796 * [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) 8.797 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 8.798 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0)) 8.800 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0))) 8.801 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) 8.801 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.801 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.801 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.801 * [taylor]: Taking taylor expansion of 2.0 in n 8.801 * [backup-simplify]: Simplify 2.0 into 2.0 8.802 * [taylor]: Taking taylor expansion of (* n PI) in n 8.802 * [taylor]: Taking taylor expansion of n in n 8.802 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [taylor]: Taking taylor expansion of PI in n 8.802 * [backup-simplify]: Simplify PI into PI 8.802 * [backup-simplify]: Simplify (* 0 PI) into 0 8.803 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.804 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.806 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.807 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.808 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.808 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 8.808 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 8.808 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 8.809 * [taylor]: Taking taylor expansion of +nan.0 in n 8.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.809 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 8.809 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.809 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.809 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.809 * [taylor]: Taking taylor expansion of 2.0 in n 8.809 * [backup-simplify]: Simplify 2.0 into 2.0 8.809 * [taylor]: Taking taylor expansion of (* n PI) in n 8.809 * [taylor]: Taking taylor expansion of n in n 8.809 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify 1 into 1 8.809 * [taylor]: Taking taylor expansion of PI in n 8.809 * [backup-simplify]: Simplify PI into PI 8.809 * [backup-simplify]: Simplify (* 0 PI) into 0 8.810 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.811 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.813 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.814 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.815 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 8.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 8.815 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.815 * [taylor]: Taking taylor expansion of 0.5 in n 8.815 * [backup-simplify]: Simplify 0.5 into 0.5 8.815 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.815 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.816 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.816 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.816 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.816 * [taylor]: Taking taylor expansion of 1.0 in n 8.816 * [backup-simplify]: Simplify 1.0 into 1.0 8.816 * [taylor]: Taking taylor expansion of (log PI) in n 8.816 * [taylor]: Taking taylor expansion of PI in n 8.816 * [backup-simplify]: Simplify PI into PI 8.816 * [backup-simplify]: Simplify (log PI) into (log PI) 8.817 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.819 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.819 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.819 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.819 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.819 * [taylor]: Taking taylor expansion of 1.0 in n 8.819 * [backup-simplify]: Simplify 1.0 into 1.0 8.819 * [taylor]: Taking taylor expansion of (log n) in n 8.819 * [taylor]: Taking taylor expansion of n in n 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.819 * [backup-simplify]: Simplify (log 1) into 0 8.820 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.820 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.820 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.820 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.820 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.820 * [taylor]: Taking taylor expansion of 1.0 in n 8.820 * [backup-simplify]: Simplify 1.0 into 1.0 8.820 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.821 * [taylor]: Taking taylor expansion of 2.0 in n 8.821 * [backup-simplify]: Simplify 2.0 into 2.0 8.821 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.822 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.823 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.824 * [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) 8.825 * [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) 8.826 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 8.827 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0)) 8.828 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0))) 8.829 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) 8.829 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 8.829 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 8.829 * [taylor]: Taking taylor expansion of +nan.0 in n 8.829 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.829 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 8.829 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 8.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 8.829 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.829 * [taylor]: Taking taylor expansion of 0.5 in n 8.829 * [backup-simplify]: Simplify 0.5 into 0.5 8.829 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.829 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.829 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.829 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.829 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.829 * [taylor]: Taking taylor expansion of 1.0 in n 8.829 * [backup-simplify]: Simplify 1.0 into 1.0 8.829 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.829 * [taylor]: Taking taylor expansion of 2.0 in n 8.829 * [backup-simplify]: Simplify 2.0 into 2.0 8.829 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.830 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.831 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.831 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.831 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.831 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.831 * [taylor]: Taking taylor expansion of 1.0 in n 8.831 * [backup-simplify]: Simplify 1.0 into 1.0 8.831 * [taylor]: Taking taylor expansion of (log PI) in n 8.831 * [taylor]: Taking taylor expansion of PI in n 8.831 * [backup-simplify]: Simplify PI into PI 8.831 * [backup-simplify]: Simplify (log PI) into (log PI) 8.832 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.833 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.833 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.833 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.833 * [taylor]: Taking taylor expansion of 1.0 in n 8.833 * [backup-simplify]: Simplify 1.0 into 1.0 8.833 * [taylor]: Taking taylor expansion of (log n) in n 8.833 * [taylor]: Taking taylor expansion of n in n 8.833 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify 1 into 1 8.833 * [backup-simplify]: Simplify (log 1) into 0 8.834 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.834 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.834 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.834 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 8.835 * [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) 8.836 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 8.837 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0)) 8.837 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0))) 8.838 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) 8.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.838 * [taylor]: Taking taylor expansion of 2.0 in n 8.838 * [backup-simplify]: Simplify 2.0 into 2.0 8.838 * [taylor]: Taking taylor expansion of (* n PI) in n 8.838 * [taylor]: Taking taylor expansion of n in n 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify 1 into 1 8.839 * [taylor]: Taking taylor expansion of PI in n 8.839 * [backup-simplify]: Simplify PI into PI 8.839 * [backup-simplify]: Simplify (* 0 PI) into 0 8.839 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.840 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.841 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.842 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.843 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) 8.844 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.844 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.846 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 8.847 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) 8.849 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) 8.850 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.851 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.852 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 8.854 * [backup-simplify]: Simplify (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) 8.856 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) 8.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.859 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) 8.861 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) 8.864 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) into (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))) 8.872 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))))))) into (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))) 8.893 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))) 8.905 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))) 8.918 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))) 8.941 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) 8.960 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) 8.975 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) 9.015 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) (pow (* 1 k) 3)) (+ (* (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 1 k)))) into (- (+ (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))))))))))))))))))))))) 9.016 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (* 1.0 (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) 9.016 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 9.016 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in n 9.016 * [taylor]: Taking taylor expansion of 1.0 in n 9.016 * [backup-simplify]: Simplify 1.0 into 1.0 9.016 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 9.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.016 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.016 * [taylor]: Taking taylor expansion of k in n 9.016 * [backup-simplify]: Simplify k into k 9.016 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.017 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 9.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 9.017 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 9.017 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.017 * [taylor]: Taking taylor expansion of 0.5 in n 9.017 * [backup-simplify]: Simplify 0.5 into 0.5 9.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.017 * [taylor]: Taking taylor expansion of 1.0 in n 9.017 * [backup-simplify]: Simplify 1.0 into 1.0 9.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.017 * [taylor]: Taking taylor expansion of k in n 9.017 * [backup-simplify]: Simplify k into k 9.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.017 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.017 * [taylor]: Taking taylor expansion of 2.0 in n 9.018 * [backup-simplify]: Simplify 2.0 into 2.0 9.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.018 * [taylor]: Taking taylor expansion of PI in n 9.018 * [backup-simplify]: Simplify PI into PI 9.018 * [taylor]: Taking taylor expansion of n in n 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (/ PI 1) into PI 9.019 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.020 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.020 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.020 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.020 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.023 * [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)))) 9.024 * [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))))) 9.026 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 9.026 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 9.026 * [taylor]: Taking taylor expansion of 1.0 in k 9.026 * [backup-simplify]: Simplify 1.0 into 1.0 9.026 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.026 * [taylor]: Taking taylor expansion of k in k 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (/ 1 1) into 1 9.027 * [backup-simplify]: Simplify (sqrt 0) into 0 9.028 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.028 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.028 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.028 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.029 * [taylor]: Taking taylor expansion of 0.5 in k 9.029 * [backup-simplify]: Simplify 0.5 into 0.5 9.029 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.029 * [taylor]: Taking taylor expansion of 1.0 in k 9.029 * [backup-simplify]: Simplify 1.0 into 1.0 9.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.029 * [taylor]: Taking taylor expansion of k in k 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 1 into 1 9.029 * [backup-simplify]: Simplify (/ 1 1) into 1 9.029 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.029 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.029 * [taylor]: Taking taylor expansion of 2.0 in k 9.029 * [backup-simplify]: Simplify 2.0 into 2.0 9.029 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.029 * [taylor]: Taking taylor expansion of PI in k 9.029 * [backup-simplify]: Simplify PI into PI 9.029 * [taylor]: Taking taylor expansion of n in k 9.029 * [backup-simplify]: Simplify n into n 9.029 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.030 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.030 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.030 * [backup-simplify]: Simplify (- 1) into -1 9.031 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.031 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.031 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.031 * [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))))) 9.032 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) 9.032 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 9.032 * [taylor]: Taking taylor expansion of 1.0 in k 9.032 * [backup-simplify]: Simplify 1.0 into 1.0 9.032 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.032 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.032 * [taylor]: Taking taylor expansion of k in k 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (/ 1 1) into 1 9.033 * [backup-simplify]: Simplify (sqrt 0) into 0 9.034 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.034 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.034 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.034 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.034 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.034 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.034 * [taylor]: Taking taylor expansion of 0.5 in k 9.034 * [backup-simplify]: Simplify 0.5 into 0.5 9.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.034 * [taylor]: Taking taylor expansion of 1.0 in k 9.034 * [backup-simplify]: Simplify 1.0 into 1.0 9.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.034 * [taylor]: Taking taylor expansion of k in k 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.034 * [backup-simplify]: Simplify (/ 1 1) into 1 9.034 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.034 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.034 * [taylor]: Taking taylor expansion of 2.0 in k 9.034 * [backup-simplify]: Simplify 2.0 into 2.0 9.034 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.034 * [taylor]: Taking taylor expansion of PI in k 9.034 * [backup-simplify]: Simplify PI into PI 9.034 * [taylor]: Taking taylor expansion of n in k 9.034 * [backup-simplify]: Simplify n into n 9.034 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.034 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.034 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.035 * [backup-simplify]: Simplify (- 1) into -1 9.035 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.035 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.035 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.036 * [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))))) 9.036 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) 9.036 * [backup-simplify]: Simplify (* 0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0 9.036 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.036 * [taylor]: Taking taylor expansion of 0 in n 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0 9.037 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 9.038 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 9.038 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 9.038 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.038 * [taylor]: Taking taylor expansion of +nan.0 in n 9.038 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.038 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.038 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.038 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.038 * [taylor]: Taking taylor expansion of 0.5 in n 9.038 * [backup-simplify]: Simplify 0.5 into 0.5 9.038 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.038 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.038 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.038 * [taylor]: Taking taylor expansion of 2.0 in n 9.038 * [backup-simplify]: Simplify 2.0 into 2.0 9.038 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.038 * [taylor]: Taking taylor expansion of PI in n 9.038 * [backup-simplify]: Simplify PI into PI 9.038 * [taylor]: Taking taylor expansion of n in n 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify (/ PI 1) into PI 9.039 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.039 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.039 * [taylor]: Taking taylor expansion of 1.0 in n 9.039 * [backup-simplify]: Simplify 1.0 into 1.0 9.039 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.039 * [taylor]: Taking taylor expansion of k in n 9.039 * [backup-simplify]: Simplify k into k 9.039 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.040 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.040 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.041 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 9.042 * [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)))) 9.043 * [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))))) 9.043 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 9.044 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 9.045 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 9.046 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0 9.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.049 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 9.050 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 9.050 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 9.050 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.050 * [taylor]: Taking taylor expansion of +nan.0 in n 9.050 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.050 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.050 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.050 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.050 * [taylor]: Taking taylor expansion of 0.5 in n 9.050 * [backup-simplify]: Simplify 0.5 into 0.5 9.050 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.050 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.050 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.051 * [taylor]: Taking taylor expansion of 2.0 in n 9.051 * [backup-simplify]: Simplify 2.0 into 2.0 9.051 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.051 * [taylor]: Taking taylor expansion of PI in n 9.051 * [backup-simplify]: Simplify PI into PI 9.051 * [taylor]: Taking taylor expansion of n in n 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (/ PI 1) into PI 9.051 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.052 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.052 * [taylor]: Taking taylor expansion of 1.0 in n 9.052 * [backup-simplify]: Simplify 1.0 into 1.0 9.052 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.052 * [taylor]: Taking taylor expansion of k in n 9.052 * [backup-simplify]: Simplify k into k 9.052 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.053 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.053 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.054 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 9.055 * [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)))) 9.056 * [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))))) 9.056 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 9.057 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 9.058 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 9.059 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 9.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.060 * [backup-simplify]: Simplify (- 0) into 0 9.060 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.063 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 9.066 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0 9.068 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 9.068 * [backup-simplify]: Simplify (- 0) into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0 9.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 9.078 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 9.078 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 9.079 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.079 * [taylor]: Taking taylor expansion of +nan.0 in n 9.079 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.079 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.079 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.079 * [taylor]: Taking taylor expansion of 0.5 in n 9.079 * [backup-simplify]: Simplify 0.5 into 0.5 9.079 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.079 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.079 * [taylor]: Taking taylor expansion of 2.0 in n 9.079 * [backup-simplify]: Simplify 2.0 into 2.0 9.079 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.079 * [taylor]: Taking taylor expansion of PI in n 9.079 * [backup-simplify]: Simplify PI into PI 9.079 * [taylor]: Taking taylor expansion of n in n 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (/ PI 1) into PI 9.080 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.081 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.081 * [taylor]: Taking taylor expansion of 1.0 in n 9.081 * [backup-simplify]: Simplify 1.0 into 1.0 9.081 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.081 * [taylor]: Taking taylor expansion of k in n 9.081 * [backup-simplify]: Simplify k into k 9.081 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.083 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.083 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.084 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 9.086 * [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)))) 9.087 * [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))))) 9.088 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 9.090 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 9.091 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 9.092 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 9.097 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))))))) 9.098 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (* 1.0 (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) 9.098 * [approximate]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 9.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in n 9.098 * [taylor]: Taking taylor expansion of 1.0 in n 9.098 * [backup-simplify]: Simplify 1.0 into 1.0 9.099 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 9.099 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.099 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.099 * [taylor]: Taking taylor expansion of -1 in n 9.099 * [backup-simplify]: Simplify -1 into -1 9.099 * [taylor]: Taking taylor expansion of k in n 9.099 * [backup-simplify]: Simplify k into k 9.099 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 9.099 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 9.099 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 9.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 9.099 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.099 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.099 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.099 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.099 * [taylor]: Taking taylor expansion of 0.5 in n 9.099 * [backup-simplify]: Simplify 0.5 into 0.5 9.099 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.099 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.099 * [taylor]: Taking taylor expansion of k in n 9.100 * [backup-simplify]: Simplify k into k 9.100 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.100 * [taylor]: Taking taylor expansion of 1.0 in n 9.100 * [backup-simplify]: Simplify 1.0 into 1.0 9.100 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.100 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.100 * [taylor]: Taking taylor expansion of -2.0 in n 9.100 * [backup-simplify]: Simplify -2.0 into -2.0 9.100 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.100 * [taylor]: Taking taylor expansion of PI in n 9.100 * [backup-simplify]: Simplify PI into PI 9.100 * [taylor]: Taking taylor expansion of n in n 9.100 * [backup-simplify]: Simplify 0 into 0 9.100 * [backup-simplify]: Simplify 1 into 1 9.100 * [backup-simplify]: Simplify (/ PI 1) into PI 9.101 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.102 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.102 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.102 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.105 * [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)))) 9.106 * [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))))) 9.108 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 9.108 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 9.108 * [taylor]: Taking taylor expansion of 1.0 in k 9.108 * [backup-simplify]: Simplify 1.0 into 1.0 9.108 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 9.108 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.108 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.108 * [taylor]: Taking taylor expansion of -1 in k 9.108 * [backup-simplify]: Simplify -1 into -1 9.108 * [taylor]: Taking taylor expansion of k in k 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 1 into 1 9.109 * [backup-simplify]: Simplify (/ -1 1) into -1 9.109 * [backup-simplify]: Simplify (sqrt 0) into 0 9.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.110 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.110 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.110 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.110 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.111 * [taylor]: Taking taylor expansion of 0.5 in k 9.111 * [backup-simplify]: Simplify 0.5 into 0.5 9.111 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.111 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.111 * [taylor]: Taking taylor expansion of k in k 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify (/ 1 1) into 1 9.111 * [taylor]: Taking taylor expansion of 1.0 in k 9.111 * [backup-simplify]: Simplify 1.0 into 1.0 9.111 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.111 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.111 * [taylor]: Taking taylor expansion of -2.0 in k 9.111 * [backup-simplify]: Simplify -2.0 into -2.0 9.111 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.111 * [taylor]: Taking taylor expansion of PI in k 9.111 * [backup-simplify]: Simplify PI into PI 9.111 * [taylor]: Taking taylor expansion of n in k 9.111 * [backup-simplify]: Simplify n into n 9.112 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.112 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.112 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.112 * [backup-simplify]: Simplify (+ 1 0) into 1 9.113 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.113 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.113 * [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)))))) 9.113 * [backup-simplify]: Simplify (/ +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))))))) 9.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 9.113 * [taylor]: Taking taylor expansion of 1.0 in k 9.114 * [backup-simplify]: Simplify 1.0 into 1.0 9.114 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 9.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.114 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.114 * [taylor]: Taking taylor expansion of -1 in k 9.114 * [backup-simplify]: Simplify -1 into -1 9.114 * [taylor]: Taking taylor expansion of k in k 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 1 into 1 9.114 * [backup-simplify]: Simplify (/ -1 1) into -1 9.115 * [backup-simplify]: Simplify (sqrt 0) into 0 9.116 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.116 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.116 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.116 * [taylor]: Taking taylor expansion of 0.5 in k 9.116 * [backup-simplify]: Simplify 0.5 into 0.5 9.116 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.116 * [taylor]: Taking taylor expansion of k in k 9.116 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify 1 into 1 9.117 * [backup-simplify]: Simplify (/ 1 1) into 1 9.117 * [taylor]: Taking taylor expansion of 1.0 in k 9.117 * [backup-simplify]: Simplify 1.0 into 1.0 9.117 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.117 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.117 * [taylor]: Taking taylor expansion of -2.0 in k 9.117 * [backup-simplify]: Simplify -2.0 into -2.0 9.117 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.117 * [taylor]: Taking taylor expansion of PI in k 9.117 * [backup-simplify]: Simplify PI into PI 9.117 * [taylor]: Taking taylor expansion of n in k 9.117 * [backup-simplify]: Simplify n into n 9.117 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.117 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.117 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.118 * [backup-simplify]: Simplify (+ 1 0) into 1 9.118 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.118 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.119 * [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)))))) 9.119 * [backup-simplify]: Simplify (/ +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))))))) 9.119 * [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))))))) 9.119 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.120 * [taylor]: Taking taylor expansion of +nan.0 in n 9.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.120 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.120 * [taylor]: Taking taylor expansion of 0.5 in n 9.120 * [backup-simplify]: Simplify 0.5 into 0.5 9.120 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.120 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.120 * [taylor]: Taking taylor expansion of k in n 9.120 * [backup-simplify]: Simplify k into k 9.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.120 * [taylor]: Taking taylor expansion of 1.0 in n 9.120 * [backup-simplify]: Simplify 1.0 into 1.0 9.120 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.120 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.120 * [taylor]: Taking taylor expansion of -2.0 in n 9.120 * [backup-simplify]: Simplify -2.0 into -2.0 9.120 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.120 * [taylor]: Taking taylor expansion of PI in n 9.120 * [backup-simplify]: Simplify PI into PI 9.120 * [taylor]: Taking taylor expansion of n in n 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.121 * [backup-simplify]: Simplify (/ PI 1) into PI 9.121 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.123 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.123 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.133 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 9.134 * [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)))) 9.134 * [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))))) 9.135 * [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)))))) 9.136 * [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)))))) 9.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.138 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.139 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) 9.139 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (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 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) 9.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 9.139 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.139 * [taylor]: Taking taylor expansion of +nan.0 in n 9.139 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.139 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.139 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.139 * [taylor]: Taking taylor expansion of 0.5 in n 9.139 * [backup-simplify]: Simplify 0.5 into 0.5 9.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.140 * [taylor]: Taking taylor expansion of k in n 9.140 * [backup-simplify]: Simplify k into k 9.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.140 * [taylor]: Taking taylor expansion of 1.0 in n 9.140 * [backup-simplify]: Simplify 1.0 into 1.0 9.140 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.140 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.140 * [taylor]: Taking taylor expansion of -2.0 in n 9.140 * [backup-simplify]: Simplify -2.0 into -2.0 9.140 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.140 * [taylor]: Taking taylor expansion of PI in n 9.140 * [backup-simplify]: Simplify PI into PI 9.140 * [taylor]: Taking taylor expansion of n in n 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.140 * [backup-simplify]: Simplify (/ PI 1) into PI 9.140 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.141 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.141 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.143 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 9.143 * [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)))) 9.144 * [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))))) 9.145 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 9.146 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 9.147 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 9.148 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 9.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.149 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.150 * [backup-simplify]: Simplify (+ 0 0) into 0 9.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.152 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.153 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 9.154 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.156 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.160 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) 9.160 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) (+ (* 0 (- (* +nan.0 (/ 1 (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 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) 9.160 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 9.160 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.160 * [taylor]: Taking taylor expansion of +nan.0 in n 9.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.161 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.161 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.161 * [taylor]: Taking taylor expansion of 0.5 in n 9.161 * [backup-simplify]: Simplify 0.5 into 0.5 9.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.161 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.161 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.161 * [taylor]: Taking taylor expansion of k in n 9.161 * [backup-simplify]: Simplify k into k 9.161 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.161 * [taylor]: Taking taylor expansion of 1.0 in n 9.161 * [backup-simplify]: Simplify 1.0 into 1.0 9.161 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.161 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.161 * [taylor]: Taking taylor expansion of -2.0 in n 9.161 * [backup-simplify]: Simplify -2.0 into -2.0 9.161 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.161 * [taylor]: Taking taylor expansion of PI in n 9.161 * [backup-simplify]: Simplify PI into PI 9.161 * [taylor]: Taking taylor expansion of n in n 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (/ PI 1) into PI 9.162 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.162 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.162 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.164 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 9.165 * [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)))) 9.166 * [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))))) 9.166 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 9.167 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 9.168 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 9.169 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) 9.174 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (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 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))))) 9.174 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.175 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (* 1.0 (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))))) 9.175 * [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 9.175 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 9.175 * [taylor]: Taking taylor expansion of 1.0 in n 9.175 * [backup-simplify]: Simplify 1.0 into 1.0 9.175 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 9.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.175 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.175 * [taylor]: Taking taylor expansion of k in n 9.175 * [backup-simplify]: Simplify k into k 9.176 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.176 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 9.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 9.176 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.176 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.176 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.176 * [taylor]: Taking taylor expansion of 0.5 in n 9.176 * [backup-simplify]: Simplify 0.5 into 0.5 9.176 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.176 * [taylor]: Taking taylor expansion of 1.0 in n 9.176 * [backup-simplify]: Simplify 1.0 into 1.0 9.176 * [taylor]: Taking taylor expansion of k in n 9.176 * [backup-simplify]: Simplify k into k 9.176 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.176 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.176 * [taylor]: Taking taylor expansion of 2.0 in n 9.176 * [backup-simplify]: Simplify 2.0 into 2.0 9.176 * [taylor]: Taking taylor expansion of (* n PI) in n 9.176 * [taylor]: Taking taylor expansion of n in n 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [taylor]: Taking taylor expansion of PI in n 9.176 * [backup-simplify]: Simplify PI into PI 9.177 * [backup-simplify]: Simplify (* 0 PI) into 0 9.177 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.179 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.181 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.182 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.182 * [backup-simplify]: Simplify (- k) into (- k) 9.182 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.182 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.183 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.185 * [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)))) 9.186 * [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))))) 9.186 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 9.186 * [taylor]: Taking taylor expansion of 1.0 in k 9.186 * [backup-simplify]: Simplify 1.0 into 1.0 9.186 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 9.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.186 * [taylor]: Taking taylor expansion of k in k 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.187 * [backup-simplify]: Simplify (/ 1 1) into 1 9.187 * [backup-simplify]: Simplify (sqrt 0) into 0 9.188 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.189 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.189 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.189 * [taylor]: Taking taylor expansion of 0.5 in k 9.189 * [backup-simplify]: Simplify 0.5 into 0.5 9.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.189 * [taylor]: Taking taylor expansion of 1.0 in k 9.189 * [backup-simplify]: Simplify 1.0 into 1.0 9.189 * [taylor]: Taking taylor expansion of k in k 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify 1 into 1 9.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.189 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.189 * [taylor]: Taking taylor expansion of 2.0 in k 9.189 * [backup-simplify]: Simplify 2.0 into 2.0 9.189 * [taylor]: Taking taylor expansion of (* n PI) in k 9.189 * [taylor]: Taking taylor expansion of n in k 9.189 * [backup-simplify]: Simplify n into n 9.189 * [taylor]: Taking taylor expansion of PI in k 9.189 * [backup-simplify]: Simplify PI into PI 9.189 * [backup-simplify]: Simplify (* n PI) into (* n PI) 9.189 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 9.189 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 9.190 * [backup-simplify]: Simplify (- 0) into 0 9.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.191 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.191 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 9.191 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 9.191 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 9.191 * [taylor]: Taking taylor expansion of 1.0 in k 9.191 * [backup-simplify]: Simplify 1.0 into 1.0 9.191 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 9.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.191 * [taylor]: Taking taylor expansion of k in k 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.192 * [backup-simplify]: Simplify (/ 1 1) into 1 9.192 * [backup-simplify]: Simplify (sqrt 0) into 0 9.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.193 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.193 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.193 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.194 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.194 * [taylor]: Taking taylor expansion of 0.5 in k 9.194 * [backup-simplify]: Simplify 0.5 into 0.5 9.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.194 * [taylor]: Taking taylor expansion of 1.0 in k 9.194 * [backup-simplify]: Simplify 1.0 into 1.0 9.194 * [taylor]: Taking taylor expansion of k in k 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.194 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.194 * [taylor]: Taking taylor expansion of 2.0 in k 9.194 * [backup-simplify]: Simplify 2.0 into 2.0 9.194 * [taylor]: Taking taylor expansion of (* n PI) in k 9.194 * [taylor]: Taking taylor expansion of n in k 9.194 * [backup-simplify]: Simplify n into n 9.194 * [taylor]: Taking taylor expansion of PI in k 9.194 * [backup-simplify]: Simplify PI into PI 9.194 * [backup-simplify]: Simplify (* n PI) into (* n PI) 9.194 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 9.194 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 9.195 * [backup-simplify]: Simplify (- 0) into 0 9.195 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.196 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.196 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 9.196 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 9.196 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 9.197 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.197 * [taylor]: Taking taylor expansion of 0 in n 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 9.198 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 9.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 9.199 * [backup-simplify]: Simplify (- 1) into -1 9.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.201 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 9.203 * [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))) 9.204 * [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))) 9.206 * [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))) 9.206 * [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 9.206 * [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 9.206 * [taylor]: Taking taylor expansion of +nan.0 in n 9.206 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.206 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.206 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.206 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.207 * [taylor]: Taking taylor expansion of 0.5 in n 9.207 * [backup-simplify]: Simplify 0.5 into 0.5 9.207 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.207 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.207 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.207 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.207 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.207 * [taylor]: Taking taylor expansion of 1.0 in n 9.207 * [backup-simplify]: Simplify 1.0 into 1.0 9.207 * [taylor]: Taking taylor expansion of (log PI) in n 9.207 * [taylor]: Taking taylor expansion of PI in n 9.207 * [backup-simplify]: Simplify PI into PI 9.207 * [backup-simplify]: Simplify (log PI) into (log PI) 9.208 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.210 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.210 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.210 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.210 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.210 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.210 * [taylor]: Taking taylor expansion of 1.0 in n 9.210 * [backup-simplify]: Simplify 1.0 into 1.0 9.210 * [taylor]: Taking taylor expansion of (log n) in n 9.210 * [taylor]: Taking taylor expansion of n in n 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 1 into 1 9.211 * [backup-simplify]: Simplify (log 1) into 0 9.211 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.211 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.211 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.211 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.211 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.211 * [taylor]: Taking taylor expansion of 1.0 in n 9.211 * [backup-simplify]: Simplify 1.0 into 1.0 9.211 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.211 * [taylor]: Taking taylor expansion of 2.0 in n 9.212 * [backup-simplify]: Simplify 2.0 into 2.0 9.212 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.213 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.214 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.215 * [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) 9.216 * [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) 9.217 * [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)) 9.218 * [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))) 9.219 * [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) 9.220 * [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)) 9.221 * [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))) 9.222 * [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))) 9.222 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 9.223 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 9.224 * [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 9.225 * [backup-simplify]: Simplify (- 0) into 0 9.225 * [backup-simplify]: Simplify (+ 0 0) into 0 9.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 9.227 * [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))) 9.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.229 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.232 * [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)))))))) 9.235 * [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)))))))) 9.235 * [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 9.235 * [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 9.235 * [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 9.235 * [taylor]: Taking taylor expansion of +nan.0 in n 9.235 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.235 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.235 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.235 * [taylor]: Taking taylor expansion of 0.5 in n 9.235 * [backup-simplify]: Simplify 0.5 into 0.5 9.235 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.235 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.235 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.235 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.235 * [taylor]: Taking taylor expansion of 1.0 in n 9.235 * [backup-simplify]: Simplify 1.0 into 1.0 9.235 * [taylor]: Taking taylor expansion of (log PI) in n 9.235 * [taylor]: Taking taylor expansion of PI in n 9.235 * [backup-simplify]: Simplify PI into PI 9.236 * [backup-simplify]: Simplify (log PI) into (log PI) 9.236 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.237 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.237 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.237 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.237 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.237 * [taylor]: Taking taylor expansion of 1.0 in n 9.237 * [backup-simplify]: Simplify 1.0 into 1.0 9.237 * [taylor]: Taking taylor expansion of (log n) in n 9.237 * [taylor]: Taking taylor expansion of n in n 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 1 into 1 9.238 * [backup-simplify]: Simplify (log 1) into 0 9.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.238 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.238 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.238 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.238 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.238 * [taylor]: Taking taylor expansion of 1.0 in n 9.238 * [backup-simplify]: Simplify 1.0 into 1.0 9.238 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.238 * [taylor]: Taking taylor expansion of 2.0 in n 9.238 * [backup-simplify]: Simplify 2.0 into 2.0 9.239 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.239 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.240 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.240 * [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) 9.241 * [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) 9.242 * [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)) 9.243 * [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))) 9.244 * [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) 9.244 * [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 9.244 * [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 9.244 * [taylor]: Taking taylor expansion of +nan.0 in n 9.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.244 * [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 9.244 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.244 * [taylor]: Taking taylor expansion of 0.5 in n 9.244 * [backup-simplify]: Simplify 0.5 into 0.5 9.244 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.244 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.244 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.244 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.244 * [taylor]: Taking taylor expansion of 1.0 in n 9.244 * [backup-simplify]: Simplify 1.0 into 1.0 9.244 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.244 * [taylor]: Taking taylor expansion of 2.0 in n 9.244 * [backup-simplify]: Simplify 2.0 into 2.0 9.250 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.251 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.252 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.252 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.252 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.252 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.252 * [taylor]: Taking taylor expansion of 1.0 in n 9.252 * [backup-simplify]: Simplify 1.0 into 1.0 9.252 * [taylor]: Taking taylor expansion of (log PI) in n 9.252 * [taylor]: Taking taylor expansion of PI in n 9.252 * [backup-simplify]: Simplify PI into PI 9.252 * [backup-simplify]: Simplify (log PI) into (log PI) 9.253 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.254 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.254 * [taylor]: Taking taylor expansion of 1.0 in n 9.254 * [backup-simplify]: Simplify 1.0 into 1.0 9.254 * [taylor]: Taking taylor expansion of (log n) in n 9.254 * [taylor]: Taking taylor expansion of n in n 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (log 1) into 0 9.255 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.255 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.255 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.255 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.256 * [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) 9.257 * [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)) 9.258 * [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))) 9.259 * [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) 9.259 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.259 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.259 * [taylor]: Taking taylor expansion of 2.0 in n 9.259 * [backup-simplify]: Simplify 2.0 into 2.0 9.259 * [taylor]: Taking taylor expansion of (* n PI) in n 9.259 * [taylor]: Taking taylor expansion of n in n 9.259 * [backup-simplify]: Simplify 0 into 0 9.259 * [backup-simplify]: Simplify 1 into 1 9.259 * [taylor]: Taking taylor expansion of PI in n 9.259 * [backup-simplify]: Simplify PI into PI 9.259 * [backup-simplify]: Simplify (* 0 PI) into 0 9.259 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.261 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.262 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.263 * [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)) 9.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.266 * [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)) 9.268 * [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))) 9.269 * [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)))))) 9.273 * [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)))))))) 9.277 * [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)))))))) 9.283 * [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)))))))) 9.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 9.286 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 9.288 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 9.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.290 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.290 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 9.290 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 9.291 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 9.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.292 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 9.293 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 9.294 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 9.296 * [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 9.297 * [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 9.298 * [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 9.299 * [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 9.300 * [backup-simplify]: Simplify (- 0) into 0 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.301 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 9.303 * [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 9.303 * [backup-simplify]: Simplify (- 0) into 0 9.303 * [backup-simplify]: Simplify (+ 0 0) into 0 9.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 9.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 9.306 * [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))) 9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.313 * [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)))))))) 9.319 * [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)))))))) 9.319 * [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 9.319 * [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 9.320 * [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 9.320 * [taylor]: Taking taylor expansion of +nan.0 in n 9.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.320 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.320 * [taylor]: Taking taylor expansion of 0.5 in n 9.320 * [backup-simplify]: Simplify 0.5 into 0.5 9.320 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.320 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.320 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.320 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.320 * [taylor]: Taking taylor expansion of 1.0 in n 9.320 * [backup-simplify]: Simplify 1.0 into 1.0 9.320 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.320 * [taylor]: Taking taylor expansion of 2.0 in n 9.320 * [backup-simplify]: Simplify 2.0 into 2.0 9.320 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.321 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.322 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.322 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.322 * [taylor]: Taking taylor expansion of 1.0 in n 9.322 * [backup-simplify]: Simplify 1.0 into 1.0 9.322 * [taylor]: Taking taylor expansion of (log n) in n 9.322 * [taylor]: Taking taylor expansion of n in n 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify 1 into 1 9.323 * [backup-simplify]: Simplify (log 1) into 0 9.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.323 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.324 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.324 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.324 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.324 * [taylor]: Taking taylor expansion of 1.0 in n 9.324 * [backup-simplify]: Simplify 1.0 into 1.0 9.324 * [taylor]: Taking taylor expansion of (log PI) in n 9.324 * [taylor]: Taking taylor expansion of PI in n 9.324 * [backup-simplify]: Simplify PI into PI 9.324 * [backup-simplify]: Simplify (log PI) into (log PI) 9.325 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.327 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.328 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.329 * [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) 9.330 * [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)) 9.331 * [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))) 9.333 * [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) 9.333 * [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 9.333 * [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 9.333 * [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 9.333 * [taylor]: Taking taylor expansion of +nan.0 in n 9.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.333 * [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 9.333 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.333 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.333 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.333 * [taylor]: Taking taylor expansion of 0.5 in n 9.333 * [backup-simplify]: Simplify 0.5 into 0.5 9.333 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.333 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.333 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.334 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.334 * [taylor]: Taking taylor expansion of 1.0 in n 9.334 * [backup-simplify]: Simplify 1.0 into 1.0 9.334 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.334 * [taylor]: Taking taylor expansion of 2.0 in n 9.334 * [backup-simplify]: Simplify 2.0 into 2.0 9.334 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.335 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.337 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.337 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.337 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.337 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.337 * [taylor]: Taking taylor expansion of 1.0 in n 9.337 * [backup-simplify]: Simplify 1.0 into 1.0 9.337 * [taylor]: Taking taylor expansion of (log PI) in n 9.337 * [taylor]: Taking taylor expansion of PI in n 9.337 * [backup-simplify]: Simplify PI into PI 9.337 * [backup-simplify]: Simplify (log PI) into (log PI) 9.338 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.340 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.340 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.340 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.340 * [taylor]: Taking taylor expansion of 1.0 in n 9.340 * [backup-simplify]: Simplify 1.0 into 1.0 9.340 * [taylor]: Taking taylor expansion of (log n) in n 9.340 * [taylor]: Taking taylor expansion of n in n 9.340 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify 1 into 1 9.341 * [backup-simplify]: Simplify (log 1) into 0 9.341 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.341 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.342 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.343 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.344 * [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) 9.345 * [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)) 9.347 * [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))) 9.348 * [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) 9.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.348 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.348 * [taylor]: Taking taylor expansion of 2.0 in n 9.348 * [backup-simplify]: Simplify 2.0 into 2.0 9.348 * [taylor]: Taking taylor expansion of (* n PI) in n 9.348 * [taylor]: Taking taylor expansion of n in n 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.349 * [taylor]: Taking taylor expansion of PI in n 9.349 * [backup-simplify]: Simplify PI into PI 9.349 * [backup-simplify]: Simplify (* 0 PI) into 0 9.349 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.351 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.352 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.352 * [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 9.352 * [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 9.352 * [taylor]: Taking taylor expansion of +nan.0 in n 9.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.352 * [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 9.352 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.352 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.352 * [taylor]: Taking taylor expansion of 0.5 in n 9.352 * [backup-simplify]: Simplify 0.5 into 0.5 9.352 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.352 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.352 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.352 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.352 * [taylor]: Taking taylor expansion of 1.0 in n 9.352 * [backup-simplify]: Simplify 1.0 into 1.0 9.352 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.352 * [taylor]: Taking taylor expansion of 2.0 in n 9.352 * [backup-simplify]: Simplify 2.0 into 2.0 9.353 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.353 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.354 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.354 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.354 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.354 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.354 * [taylor]: Taking taylor expansion of 1.0 in n 9.354 * [backup-simplify]: Simplify 1.0 into 1.0 9.354 * [taylor]: Taking taylor expansion of (log PI) in n 9.354 * [taylor]: Taking taylor expansion of PI in n 9.354 * [backup-simplify]: Simplify PI into PI 9.355 * [backup-simplify]: Simplify (log PI) into (log PI) 9.355 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.356 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.356 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.356 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.356 * [taylor]: Taking taylor expansion of 1.0 in n 9.356 * [backup-simplify]: Simplify 1.0 into 1.0 9.356 * [taylor]: Taking taylor expansion of (log n) in n 9.356 * [taylor]: Taking taylor expansion of n in n 9.356 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify 1 into 1 9.357 * [backup-simplify]: Simplify (log 1) into 0 9.357 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.357 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.357 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.357 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.358 * [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) 9.359 * [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)) 9.366 * [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))) 9.367 * [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) 9.367 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 9.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.367 * [taylor]: Taking taylor expansion of 2.0 in n 9.367 * [backup-simplify]: Simplify 2.0 into 2.0 9.367 * [taylor]: Taking taylor expansion of (* n PI) in n 9.367 * [taylor]: Taking taylor expansion of n in n 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.367 * [taylor]: Taking taylor expansion of PI in n 9.367 * [backup-simplify]: Simplify PI into PI 9.368 * [backup-simplify]: Simplify (* 0 PI) into 0 9.368 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.370 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.371 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.372 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.373 * [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)) 9.374 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.375 * [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)) 9.377 * [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))) 9.378 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.379 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.380 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 9.382 * [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)) 9.383 * [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))) 9.386 * [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)))))))) 9.398 * [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)))))))))))) 9.414 * [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)))))))))))) 9.431 * [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)))))))))))))) 9.449 * [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)))))))))))))) 9.467 * [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)))))))))))))) 9.496 * [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)))))))))))))))))))))) 9.498 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (* 1.0 (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)))))) 9.498 * [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 9.498 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 9.498 * [taylor]: Taking taylor expansion of 1.0 in n 9.498 * [backup-simplify]: Simplify 1.0 into 1.0 9.498 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 9.498 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.498 * [taylor]: Taking taylor expansion of k in n 9.498 * [backup-simplify]: Simplify k into k 9.498 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 9.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 9.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.498 * [taylor]: Taking taylor expansion of 0.5 in n 9.498 * [backup-simplify]: Simplify 0.5 into 0.5 9.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.499 * [taylor]: Taking taylor expansion of 1.0 in n 9.499 * [backup-simplify]: Simplify 1.0 into 1.0 9.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.499 * [taylor]: Taking taylor expansion of k in n 9.499 * [backup-simplify]: Simplify k into k 9.499 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.499 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.499 * [taylor]: Taking taylor expansion of 2.0 in n 9.499 * [backup-simplify]: Simplify 2.0 into 2.0 9.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.499 * [taylor]: Taking taylor expansion of PI in n 9.499 * [backup-simplify]: Simplify PI into PI 9.499 * [taylor]: Taking taylor expansion of n in n 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify 1 into 1 9.500 * [backup-simplify]: Simplify (/ PI 1) into PI 9.500 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.501 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.501 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.501 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.501 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.504 * [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)))) 9.505 * [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))))) 9.505 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.505 * [taylor]: Taking taylor expansion of 1.0 in k 9.505 * [backup-simplify]: Simplify 1.0 into 1.0 9.505 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.506 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.506 * [taylor]: Taking taylor expansion of k in k 9.506 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (sqrt 0) into 0 9.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.508 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.508 * [taylor]: Taking taylor expansion of 0.5 in k 9.508 * [backup-simplify]: Simplify 0.5 into 0.5 9.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.508 * [taylor]: Taking taylor expansion of 1.0 in k 9.508 * [backup-simplify]: Simplify 1.0 into 1.0 9.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.508 * [taylor]: Taking taylor expansion of k in k 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (/ 1 1) into 1 9.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.508 * [taylor]: Taking taylor expansion of 2.0 in k 9.508 * [backup-simplify]: Simplify 2.0 into 2.0 9.508 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.508 * [taylor]: Taking taylor expansion of PI in k 9.508 * [backup-simplify]: Simplify PI into PI 9.509 * [taylor]: Taking taylor expansion of n in k 9.509 * [backup-simplify]: Simplify n into n 9.509 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.509 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.509 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.516 * [backup-simplify]: Simplify (- 1) into -1 9.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.517 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.517 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.517 * [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))))) 9.517 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.517 * [taylor]: Taking taylor expansion of 1.0 in k 9.517 * [backup-simplify]: Simplify 1.0 into 1.0 9.518 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.518 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.518 * [taylor]: Taking taylor expansion of k in k 9.518 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify 1 into 1 9.518 * [backup-simplify]: Simplify (sqrt 0) into 0 9.519 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.519 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.520 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.520 * [taylor]: Taking taylor expansion of 0.5 in k 9.520 * [backup-simplify]: Simplify 0.5 into 0.5 9.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.520 * [taylor]: Taking taylor expansion of 1.0 in k 9.520 * [backup-simplify]: Simplify 1.0 into 1.0 9.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.520 * [taylor]: Taking taylor expansion of k in k 9.520 * [backup-simplify]: Simplify 0 into 0 9.520 * [backup-simplify]: Simplify 1 into 1 9.520 * [backup-simplify]: Simplify (/ 1 1) into 1 9.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.520 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.520 * [taylor]: Taking taylor expansion of 2.0 in k 9.520 * [backup-simplify]: Simplify 2.0 into 2.0 9.520 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.520 * [taylor]: Taking taylor expansion of PI in k 9.520 * [backup-simplify]: Simplify PI into PI 9.520 * [taylor]: Taking taylor expansion of n in k 9.520 * [backup-simplify]: Simplify n into n 9.521 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.521 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.521 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.521 * [backup-simplify]: Simplify (- 1) into -1 9.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.522 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.522 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.522 * [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))))) 9.523 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 9.523 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.523 * [taylor]: Taking taylor expansion of 0 in n 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 0 into 0 9.524 * [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))))))) 9.525 * [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))))))) 9.525 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.525 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.525 * [taylor]: Taking taylor expansion of +nan.0 in n 9.525 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.525 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.525 * [taylor]: Taking taylor expansion of 0.5 in n 9.525 * [backup-simplify]: Simplify 0.5 into 0.5 9.525 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.525 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.525 * [taylor]: Taking taylor expansion of 2.0 in n 9.525 * [backup-simplify]: Simplify 2.0 into 2.0 9.525 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.525 * [taylor]: Taking taylor expansion of PI in n 9.525 * [backup-simplify]: Simplify PI into PI 9.525 * [taylor]: Taking taylor expansion of n in n 9.525 * [backup-simplify]: Simplify 0 into 0 9.525 * [backup-simplify]: Simplify 1 into 1 9.526 * [backup-simplify]: Simplify (/ PI 1) into PI 9.526 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.527 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.527 * [taylor]: Taking taylor expansion of 1.0 in n 9.527 * [backup-simplify]: Simplify 1.0 into 1.0 9.527 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.528 * [taylor]: Taking taylor expansion of k in n 9.528 * [backup-simplify]: Simplify k into k 9.528 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.529 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.529 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.529 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.530 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 9.532 * [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)))) 9.533 * [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))))) 9.534 * [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)))))) 9.536 * [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))))))) 9.537 * [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))))))) 9.537 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.541 * [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))))))) 9.543 * [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))))))) 9.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.543 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.543 * [taylor]: Taking taylor expansion of +nan.0 in n 9.543 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.543 * [taylor]: Taking taylor expansion of 0.5 in n 9.543 * [backup-simplify]: Simplify 0.5 into 0.5 9.543 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.543 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.543 * [taylor]: Taking taylor expansion of 2.0 in n 9.543 * [backup-simplify]: Simplify 2.0 into 2.0 9.543 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.543 * [taylor]: Taking taylor expansion of PI in n 9.543 * [backup-simplify]: Simplify PI into PI 9.543 * [taylor]: Taking taylor expansion of n in n 9.543 * [backup-simplify]: Simplify 0 into 0 9.543 * [backup-simplify]: Simplify 1 into 1 9.544 * [backup-simplify]: Simplify (/ PI 1) into PI 9.544 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.545 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.545 * [taylor]: Taking taylor expansion of 1.0 in n 9.545 * [backup-simplify]: Simplify 1.0 into 1.0 9.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.545 * [taylor]: Taking taylor expansion of k in n 9.545 * [backup-simplify]: Simplify k into k 9.546 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.547 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.547 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.547 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.548 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 9.550 * [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)))) 9.551 * [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))))) 9.552 * [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)))))) 9.553 * [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))))))) 9.555 * [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))))))) 9.556 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.557 * [backup-simplify]: Simplify (- 0) into 0 9.558 * [backup-simplify]: Simplify (+ 0 0) into 0 9.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.562 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.564 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 9.566 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.567 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 9.567 * [backup-simplify]: Simplify (- 0) into 0 9.567 * [backup-simplify]: Simplify 0 into 0 9.567 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.570 * [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))))))) 9.571 * [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))))))) 9.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.571 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.571 * [taylor]: Taking taylor expansion of +nan.0 in n 9.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.571 * [taylor]: Taking taylor expansion of 0.5 in n 9.571 * [backup-simplify]: Simplify 0.5 into 0.5 9.571 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.571 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.571 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.571 * [taylor]: Taking taylor expansion of 2.0 in n 9.571 * [backup-simplify]: Simplify 2.0 into 2.0 9.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.571 * [taylor]: Taking taylor expansion of PI in n 9.571 * [backup-simplify]: Simplify PI into PI 9.571 * [taylor]: Taking taylor expansion of n in n 9.571 * [backup-simplify]: Simplify 0 into 0 9.571 * [backup-simplify]: Simplify 1 into 1 9.572 * [backup-simplify]: Simplify (/ PI 1) into PI 9.572 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.573 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.573 * [taylor]: Taking taylor expansion of 1.0 in n 9.573 * [backup-simplify]: Simplify 1.0 into 1.0 9.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.573 * [taylor]: Taking taylor expansion of k in n 9.573 * [backup-simplify]: Simplify k into k 9.573 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.574 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.574 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.575 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 9.576 * [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)))) 9.577 * [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))))) 9.578 * [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)))))) 9.578 * [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))))))) 9.579 * [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))))))) 9.582 * [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)))))))) 9.583 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (* 1.0 (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)))) 9.583 * [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 9.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 9.583 * [taylor]: Taking taylor expansion of 1.0 in n 9.583 * [backup-simplify]: Simplify 1.0 into 1.0 9.583 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 9.583 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.583 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.583 * [taylor]: Taking taylor expansion of 0.5 in n 9.583 * [backup-simplify]: Simplify 0.5 into 0.5 9.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.583 * [taylor]: Taking taylor expansion of k in n 9.583 * [backup-simplify]: Simplify k into k 9.583 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.583 * [taylor]: Taking taylor expansion of 1.0 in n 9.583 * [backup-simplify]: Simplify 1.0 into 1.0 9.583 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.583 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.583 * [taylor]: Taking taylor expansion of -2.0 in n 9.583 * [backup-simplify]: Simplify -2.0 into -2.0 9.583 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.583 * [taylor]: Taking taylor expansion of PI in n 9.583 * [backup-simplify]: Simplify PI into PI 9.583 * [taylor]: Taking taylor expansion of n in n 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify 1 into 1 9.584 * [backup-simplify]: Simplify (/ PI 1) into PI 9.584 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.585 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.585 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.585 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.587 * [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)))) 9.587 * [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))))) 9.587 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.587 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.587 * [taylor]: Taking taylor expansion of -1 in n 9.587 * [backup-simplify]: Simplify -1 into -1 9.587 * [taylor]: Taking taylor expansion of k in n 9.588 * [backup-simplify]: Simplify k into k 9.588 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 9.588 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 9.588 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 9.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 9.589 * [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))) 9.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.589 * [taylor]: Taking taylor expansion of 1.0 in k 9.589 * [backup-simplify]: Simplify 1.0 into 1.0 9.589 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.589 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.589 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.589 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.589 * [taylor]: Taking taylor expansion of 0.5 in k 9.589 * [backup-simplify]: Simplify 0.5 into 0.5 9.589 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.589 * [taylor]: Taking taylor expansion of k in k 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify 1 into 1 9.589 * [backup-simplify]: Simplify (/ 1 1) into 1 9.589 * [taylor]: Taking taylor expansion of 1.0 in k 9.589 * [backup-simplify]: Simplify 1.0 into 1.0 9.589 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.589 * [taylor]: Taking taylor expansion of -2.0 in k 9.589 * [backup-simplify]: Simplify -2.0 into -2.0 9.589 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.589 * [taylor]: Taking taylor expansion of PI in k 9.589 * [backup-simplify]: Simplify PI into PI 9.589 * [taylor]: Taking taylor expansion of n in k 9.589 * [backup-simplify]: Simplify n into n 9.589 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.589 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.589 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.590 * [backup-simplify]: Simplify (+ 1 0) into 1 9.590 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.590 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.590 * [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)))))) 9.590 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.590 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.590 * [taylor]: Taking taylor expansion of -1 in k 9.590 * [backup-simplify]: Simplify -1 into -1 9.590 * [taylor]: Taking taylor expansion of k in k 9.590 * [backup-simplify]: Simplify 0 into 0 9.590 * [backup-simplify]: Simplify 1 into 1 9.591 * [backup-simplify]: Simplify (/ -1 1) into -1 9.591 * [backup-simplify]: Simplify (sqrt 0) into 0 9.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.592 * [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))))))) 9.592 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.592 * [taylor]: Taking taylor expansion of 1.0 in k 9.592 * [backup-simplify]: Simplify 1.0 into 1.0 9.592 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.592 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.592 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.592 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.592 * [taylor]: Taking taylor expansion of 0.5 in k 9.592 * [backup-simplify]: Simplify 0.5 into 0.5 9.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.592 * [taylor]: Taking taylor expansion of k in k 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (/ 1 1) into 1 9.593 * [taylor]: Taking taylor expansion of 1.0 in k 9.593 * [backup-simplify]: Simplify 1.0 into 1.0 9.593 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.593 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.593 * [taylor]: Taking taylor expansion of -2.0 in k 9.593 * [backup-simplify]: Simplify -2.0 into -2.0 9.593 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.593 * [taylor]: Taking taylor expansion of PI in k 9.593 * [backup-simplify]: Simplify PI into PI 9.593 * [taylor]: Taking taylor expansion of n in k 9.593 * [backup-simplify]: Simplify n into n 9.593 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.593 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.593 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.593 * [backup-simplify]: Simplify (+ 1 0) into 1 9.593 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.593 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.594 * [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)))))) 9.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.594 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.594 * [taylor]: Taking taylor expansion of -1 in k 9.594 * [backup-simplify]: Simplify -1 into -1 9.594 * [taylor]: Taking taylor expansion of k in k 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [backup-simplify]: Simplify (/ -1 1) into -1 9.594 * [backup-simplify]: Simplify (sqrt 0) into 0 9.595 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.595 * [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))))))) 9.596 * [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))))))) 9.596 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.596 * [taylor]: Taking taylor expansion of +nan.0 in n 9.596 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.596 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.596 * [taylor]: Taking taylor expansion of 0.5 in n 9.596 * [backup-simplify]: Simplify 0.5 into 0.5 9.596 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.596 * [taylor]: Taking taylor expansion of k in n 9.596 * [backup-simplify]: Simplify k into k 9.596 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.596 * [taylor]: Taking taylor expansion of 1.0 in n 9.596 * [backup-simplify]: Simplify 1.0 into 1.0 9.596 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.596 * [taylor]: Taking taylor expansion of -2.0 in n 9.596 * [backup-simplify]: Simplify -2.0 into -2.0 9.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.596 * [taylor]: Taking taylor expansion of PI in n 9.596 * [backup-simplify]: Simplify PI into PI 9.596 * [taylor]: Taking taylor expansion of n in n 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 1 into 1 9.596 * [backup-simplify]: Simplify (/ PI 1) into PI 9.597 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.597 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.597 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.599 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 9.600 * [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)))) 9.600 * [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))))) 9.601 * [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)))))) 9.602 * [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)))))) 9.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.604 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.605 * [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)))))))) 9.605 * [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)))))))) 9.606 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.606 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.606 * [taylor]: Taking taylor expansion of +nan.0 in n 9.606 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.606 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.606 * [taylor]: Taking taylor expansion of 0.5 in n 9.606 * [backup-simplify]: Simplify 0.5 into 0.5 9.606 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.606 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.606 * [taylor]: Taking taylor expansion of k in n 9.606 * [backup-simplify]: Simplify k into k 9.606 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.606 * [taylor]: Taking taylor expansion of 1.0 in n 9.606 * [backup-simplify]: Simplify 1.0 into 1.0 9.606 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.606 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.606 * [taylor]: Taking taylor expansion of -2.0 in n 9.606 * [backup-simplify]: Simplify -2.0 into -2.0 9.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.606 * [taylor]: Taking taylor expansion of PI in n 9.606 * [backup-simplify]: Simplify PI into PI 9.606 * [taylor]: Taking taylor expansion of n in n 9.606 * [backup-simplify]: Simplify 0 into 0 9.606 * [backup-simplify]: Simplify 1 into 1 9.606 * [backup-simplify]: Simplify (/ PI 1) into PI 9.607 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.607 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.607 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.608 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.609 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 9.610 * [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)))) 9.611 * [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))))) 9.611 * [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)))))) 9.612 * [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))))))) 9.613 * [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))))))) 9.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.614 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.615 * [backup-simplify]: Simplify (+ 0 0) into 0 9.616 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.617 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.618 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 9.619 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.620 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 9.620 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.624 * [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)))))))) 9.625 * [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)))))))) 9.625 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.625 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.625 * [taylor]: Taking taylor expansion of +nan.0 in n 9.625 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.625 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.625 * [taylor]: Taking taylor expansion of 0.5 in n 9.625 * [backup-simplify]: Simplify 0.5 into 0.5 9.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.625 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.625 * [taylor]: Taking taylor expansion of k in n 9.625 * [backup-simplify]: Simplify k into k 9.625 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.625 * [taylor]: Taking taylor expansion of 1.0 in n 9.625 * [backup-simplify]: Simplify 1.0 into 1.0 9.625 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.625 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.625 * [taylor]: Taking taylor expansion of -2.0 in n 9.625 * [backup-simplify]: Simplify -2.0 into -2.0 9.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.625 * [taylor]: Taking taylor expansion of PI in n 9.625 * [backup-simplify]: Simplify PI into PI 9.625 * [taylor]: Taking taylor expansion of n in n 9.625 * [backup-simplify]: Simplify 0 into 0 9.625 * [backup-simplify]: Simplify 1 into 1 9.626 * [backup-simplify]: Simplify (/ PI 1) into PI 9.626 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.627 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.627 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.634 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 9.635 * [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)))) 9.636 * [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))))) 9.637 * [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)))))) 9.637 * [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))))))) 9.638 * [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))))))) 9.641 * [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)))))))))))) 9.641 * * * [progress]: simplifying candidates 9.644 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (sqrt k)) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k)) (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (sqrt k)) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt k) 1.0) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 1) (- (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- (- (log (sqrt k)) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- 0 (- (log (sqrt k)) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- 0 (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- (log 1) (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- (log 1) (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- (log 1) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- (log 1) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- (log 1) (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- (log 1) (- (log (sqrt k)) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- (log 1) (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (log (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (exp (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* 1.0 1.0) 1.0) (* (* (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)))))) (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (cbrt (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (sqrt (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (sqrt (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- 1) (- (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1.0)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1.0)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1.0)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1.0)) (/ (cbrt 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1.0)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1.0)) (/ (cbrt 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (cbrt 1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (sqrt 1) (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1.0)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1.0)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) 1.0)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt 1) (/ (sqrt 1) 1.0)) (/ (sqrt 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) 1.0)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt 1) (/ 1 1.0)) (/ (sqrt 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt 1) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (/ 1 (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1.0)) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1.0)) (/ 1 (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (/ (sqrt (sqrt k)) 1.0)) (/ 1 (/ (sqrt (sqrt 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k))) 1.0)) (/ 1 (/ (sqrt (sqrt k)) 1.0)) (/ 1 (/ (sqrt 1) 1.0)) (/ 1 (/ (sqrt (sqrt k)) 1.0)) (/ 1 (/ 1 1.0)) (/ 1 1) (/ 1 (sqrt k)) (/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt 1)) (/ (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1) (/ 1 (sqrt 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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (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 (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))))))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))))))) (- (+ (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))))) (- (+ (* +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)))))))))))) 9.646 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ 1.0 2.0)) (pow (* (* 2.0 h2) h1) (/ h0 2.0)) (pow (* (* 2.0 h2) h1) (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0)))) (pow (* (* 2.0 h2) h1) (sqrt (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) 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h2) h1) (/ (- 1.0 h0) 2.0))) (exp (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2)) (* (* 2.0 h2) h1) (* (* 2.0 h2) h1) (+ (+ (log 2.0) (log h2)) (log h1)) (+ (log (* 2.0 h2)) (log h1)) (log (* (* 2.0 h2) h1)) (exp (* (* 2.0 h2) h1)) (* (* (* (* 2.0 2.0) 2.0) (* (* h2 h2) h2)) (* (* h1 h1) h1)) (* (* (* (* 2.0 h2) (* 2.0 h2)) (* 2.0 h2)) (* (* h1 h1) h1)) (* (cbrt (* (* 2.0 h2) h1)) (cbrt (* (* 2.0 h2) h1))) (cbrt (* (* 2.0 h2) h1)) (* (* (* (* 2.0 h2) h1) (* (* 2.0 h2) h1)) (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (* (* 2.0 h2) (* (cbrt h1) (cbrt h1))) (* (* 2.0 h2) (sqrt h1)) (* (* 2.0 h2) 1) (* h2 h1) (- (log (sqrt h0)) (+ (log 1.0) (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0)))) (- (log (sqrt h0)) (+ (log 1.0) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0)))) (- (log (sqrt h0)) (+ (log 1.0) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)))) (- (log (sqrt h0)) (+ (log 1.0) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)))) (- (log (sqrt h0)) (+ (log 1.0) (log (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (- (log (sqrt h0)) (log (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (log (/ (sqrt h0) (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (exp (/ (sqrt h0) (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (/ (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (/ (* (* (sqrt h0) (sqrt 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h3))) (- (+ (* h6 (* (* (pow h0 2) (log (* 2.0 h2))) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) h3))) (- (+ (* h6 (* (* (pow h0 2) (* (log (* 2.0 h2)) (log h1))) (pow (* (pow h2 1.0) (* (pow 2.0 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (* (* (pow h0 2) (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (* (* h0 (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) h3))) (- (+ (* h6 (* (* (pow h0 2) (pow (log h1) 2)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (* (* h0 (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) h3))) (- (+ (* h6 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) h3)) (- (+ (* h6 (* (pow h0 2) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) h3))) (- (* h6 (* h0 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) h3)))))))))))))))))))))) (- (+ (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 3))) (- (+ (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) h0)) (- (* h6 (/ (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 2)))))))) (- (+ (* h6 (/ (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) h0)) (- (+ (* h6 (/ (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (pow h0 2))) (- (* h6 (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))))))))) 10.343 * * * [progress]: adding candidates to table 11.124 * * [progress]: iteration 4 / 4 11.124 * * * [progress]: picking best candidate 11.167 * * * * [pick]: Picked # 11.167 * * * [progress]: localizing error 11.186 * * * [progress]: generating rewritten candidates 11.186 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 11.241 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 11.281 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 11.301 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 11.355 * * * [progress]: generating series expansions 11.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 11.356 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 11.356 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 11.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 11.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 11.356 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 11.356 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.356 * [taylor]: Taking taylor expansion of 0.25 in k 11.356 * [backup-simplify]: Simplify 0.25 into 0.25 11.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.356 * [taylor]: Taking taylor expansion of 1.0 in k 11.356 * [backup-simplify]: Simplify 1.0 into 1.0 11.356 * [taylor]: Taking taylor expansion of k in k 11.356 * [backup-simplify]: Simplify 0 into 0 11.356 * [backup-simplify]: Simplify 1 into 1 11.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 11.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 11.357 * [taylor]: Taking taylor expansion of 2.0 in k 11.357 * [backup-simplify]: Simplify 2.0 into 2.0 11.357 * [taylor]: Taking taylor expansion of (* n PI) in k 11.357 * [taylor]: Taking taylor expansion of n in k 11.357 * [backup-simplify]: Simplify n into n 11.357 * [taylor]: Taking taylor expansion of PI in k 11.357 * [backup-simplify]: Simplify PI into PI 11.357 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.357 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 11.357 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 11.357 * [backup-simplify]: Simplify (- 0) into 0 11.358 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.358 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.358 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 11.359 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 11.359 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.359 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.359 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.359 * [taylor]: Taking taylor expansion of 0.25 in n 11.359 * [backup-simplify]: Simplify 0.25 into 0.25 11.359 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.359 * [taylor]: Taking taylor expansion of 1.0 in n 11.359 * [backup-simplify]: Simplify 1.0 into 1.0 11.359 * [taylor]: Taking taylor expansion of k in n 11.359 * [backup-simplify]: Simplify k into k 11.359 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.359 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.359 * [taylor]: Taking taylor expansion of 2.0 in n 11.359 * [backup-simplify]: Simplify 2.0 into 2.0 11.359 * [taylor]: Taking taylor expansion of (* n PI) in n 11.359 * [taylor]: Taking taylor expansion of n in n 11.359 * [backup-simplify]: Simplify 0 into 0 11.359 * [backup-simplify]: Simplify 1 into 1 11.359 * [taylor]: Taking taylor expansion of PI in n 11.359 * [backup-simplify]: Simplify PI into PI 11.360 * [backup-simplify]: Simplify (* 0 PI) into 0 11.360 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.363 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.364 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.364 * [backup-simplify]: Simplify (- k) into (- k) 11.365 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.365 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.366 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.367 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.369 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.369 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.369 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.369 * [taylor]: Taking taylor expansion of 0.25 in n 11.369 * [backup-simplify]: Simplify 0.25 into 0.25 11.369 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.369 * [taylor]: Taking taylor expansion of 1.0 in n 11.369 * [backup-simplify]: Simplify 1.0 into 1.0 11.369 * [taylor]: Taking taylor expansion of k in n 11.369 * [backup-simplify]: Simplify k into k 11.369 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.369 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.369 * [taylor]: Taking taylor expansion of 2.0 in n 11.369 * [backup-simplify]: Simplify 2.0 into 2.0 11.369 * [taylor]: Taking taylor expansion of (* n PI) in n 11.369 * [taylor]: Taking taylor expansion of n in n 11.369 * [backup-simplify]: Simplify 0 into 0 11.369 * [backup-simplify]: Simplify 1 into 1 11.369 * [taylor]: Taking taylor expansion of PI in n 11.369 * [backup-simplify]: Simplify PI into PI 11.369 * [backup-simplify]: Simplify (* 0 PI) into 0 11.370 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.372 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.372 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.372 * [backup-simplify]: Simplify (- k) into (- k) 11.372 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.372 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.373 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.374 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.375 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.375 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 11.375 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 11.375 * [taylor]: Taking taylor expansion of 0.25 in k 11.375 * [backup-simplify]: Simplify 0.25 into 0.25 11.375 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 11.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.375 * [taylor]: Taking taylor expansion of 1.0 in k 11.375 * [backup-simplify]: Simplify 1.0 into 1.0 11.375 * [taylor]: Taking taylor expansion of k in k 11.375 * [backup-simplify]: Simplify 0 into 0 11.375 * [backup-simplify]: Simplify 1 into 1 11.375 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 11.375 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.375 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.375 * [taylor]: Taking taylor expansion of 2.0 in k 11.375 * [backup-simplify]: Simplify 2.0 into 2.0 11.375 * [taylor]: Taking taylor expansion of PI in k 11.375 * [backup-simplify]: Simplify PI into PI 11.375 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.376 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.376 * [taylor]: Taking taylor expansion of (log n) in k 11.376 * [taylor]: Taking taylor expansion of n in k 11.376 * [backup-simplify]: Simplify n into n 11.376 * [backup-simplify]: Simplify (log n) into (log n) 11.376 * [backup-simplify]: Simplify (- 0) into 0 11.377 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.377 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 11.378 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 11.379 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 11.379 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.380 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.381 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.383 * [backup-simplify]: Simplify (- 0) into 0 11.383 * [backup-simplify]: Simplify (+ 0 0) into 0 11.383 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 11.384 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.385 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 11.386 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.386 * [taylor]: Taking taylor expansion of 0 in k 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.389 * [backup-simplify]: Simplify (+ 0 0) into 0 11.389 * [backup-simplify]: Simplify (- 1) into -1 11.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.390 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 11.391 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 11.393 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.395 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.397 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.400 * [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 11.401 * [backup-simplify]: Simplify (- 0) into 0 11.401 * [backup-simplify]: Simplify (+ 0 0) into 0 11.402 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.404 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.405 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.408 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.408 * [taylor]: Taking taylor expansion of 0 in k 11.408 * [backup-simplify]: Simplify 0 into 0 11.408 * [backup-simplify]: Simplify 0 into 0 11.408 * [backup-simplify]: Simplify 0 into 0 11.409 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.413 * [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 11.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.422 * [backup-simplify]: Simplify (+ 0 0) into 0 11.423 * [backup-simplify]: Simplify (- 0) into 0 11.423 * [backup-simplify]: Simplify (+ 0 0) into 0 11.425 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.428 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 11.431 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.434 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.440 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 11.441 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 11.441 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 11.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 11.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 11.441 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 11.441 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 11.441 * [taylor]: Taking taylor expansion of 0.25 in k 11.441 * [backup-simplify]: Simplify 0.25 into 0.25 11.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.441 * [taylor]: Taking taylor expansion of 1.0 in k 11.441 * [backup-simplify]: Simplify 1.0 into 1.0 11.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.441 * [taylor]: Taking taylor expansion of k in k 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 1 into 1 11.441 * [backup-simplify]: Simplify (/ 1 1) into 1 11.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 11.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 11.441 * [taylor]: Taking taylor expansion of 2.0 in k 11.441 * [backup-simplify]: Simplify 2.0 into 2.0 11.442 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.442 * [taylor]: Taking taylor expansion of PI in k 11.442 * [backup-simplify]: Simplify PI into PI 11.442 * [taylor]: Taking taylor expansion of n in k 11.442 * [backup-simplify]: Simplify n into n 11.442 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.442 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 11.442 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 11.442 * [backup-simplify]: Simplify (- 1) into -1 11.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.442 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 11.443 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 11.443 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 11.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.443 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.443 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.443 * [taylor]: Taking taylor expansion of 0.25 in n 11.443 * [backup-simplify]: Simplify 0.25 into 0.25 11.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.443 * [taylor]: Taking taylor expansion of 1.0 in n 11.443 * [backup-simplify]: Simplify 1.0 into 1.0 11.443 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.443 * [taylor]: Taking taylor expansion of k in n 11.443 * [backup-simplify]: Simplify k into k 11.443 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.443 * [taylor]: Taking taylor expansion of 2.0 in n 11.443 * [backup-simplify]: Simplify 2.0 into 2.0 11.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.443 * [taylor]: Taking taylor expansion of PI in n 11.443 * [backup-simplify]: Simplify PI into PI 11.443 * [taylor]: Taking taylor expansion of n in n 11.443 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify 1 into 1 11.444 * [backup-simplify]: Simplify (/ PI 1) into PI 11.444 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.444 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.445 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.445 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.445 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.446 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.447 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.447 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.447 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.447 * [taylor]: Taking taylor expansion of 0.25 in n 11.447 * [backup-simplify]: Simplify 0.25 into 0.25 11.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.447 * [taylor]: Taking taylor expansion of 1.0 in n 11.447 * [backup-simplify]: Simplify 1.0 into 1.0 11.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.447 * [taylor]: Taking taylor expansion of k in n 11.447 * [backup-simplify]: Simplify k into k 11.447 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.447 * [taylor]: Taking taylor expansion of 2.0 in n 11.447 * [backup-simplify]: Simplify 2.0 into 2.0 11.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.447 * [taylor]: Taking taylor expansion of PI in n 11.447 * [backup-simplify]: Simplify PI into PI 11.447 * [taylor]: Taking taylor expansion of n in n 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify 1 into 1 11.448 * [backup-simplify]: Simplify (/ PI 1) into PI 11.448 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.449 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.449 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.449 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.449 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.450 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.451 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.451 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.451 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 11.451 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 11.452 * [taylor]: Taking taylor expansion of 0.25 in k 11.452 * [backup-simplify]: Simplify 0.25 into 0.25 11.452 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 11.452 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 11.452 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.452 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.452 * [taylor]: Taking taylor expansion of 2.0 in k 11.452 * [backup-simplify]: Simplify 2.0 into 2.0 11.452 * [taylor]: Taking taylor expansion of PI in k 11.452 * [backup-simplify]: Simplify PI into PI 11.452 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.453 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.453 * [taylor]: Taking taylor expansion of (log n) in k 11.453 * [taylor]: Taking taylor expansion of n in k 11.453 * [backup-simplify]: Simplify n into n 11.453 * [backup-simplify]: Simplify (log n) into (log n) 11.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.453 * [taylor]: Taking taylor expansion of 1.0 in k 11.453 * [backup-simplify]: Simplify 1.0 into 1.0 11.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.453 * [taylor]: Taking taylor expansion of k in k 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 1 into 1 11.453 * [backup-simplify]: Simplify (/ 1 1) into 1 11.453 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.454 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 11.454 * [backup-simplify]: Simplify (- 1) into -1 11.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.455 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 11.456 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 11.456 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.457 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.459 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.462 * [backup-simplify]: Simplify (- 0) into 0 11.462 * [backup-simplify]: Simplify (+ 0 0) into 0 11.462 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.464 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.465 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 11.467 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.467 * [taylor]: Taking taylor expansion of 0 in k 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 0 into 0 11.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.469 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.473 * [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 11.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.473 * [backup-simplify]: Simplify (- 0) into 0 11.474 * [backup-simplify]: Simplify (+ 0 0) into 0 11.475 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.478 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 11.480 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.480 * [taylor]: Taking taylor expansion of 0 in k 11.480 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.490 * [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 11.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.490 * [backup-simplify]: Simplify (- 0) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.492 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.493 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.495 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 11.498 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 11.498 * [taylor]: Taking taylor expansion of 0 in k 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 0 into 0 11.500 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 11.501 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 11.501 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 11.501 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 11.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 11.501 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 11.501 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 11.501 * [taylor]: Taking taylor expansion of 0.25 in k 11.501 * [backup-simplify]: Simplify 0.25 into 0.25 11.501 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.501 * [taylor]: Taking taylor expansion of k in k 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 1 into 1 11.501 * [backup-simplify]: Simplify (/ 1 1) into 1 11.501 * [taylor]: Taking taylor expansion of 1.0 in k 11.501 * [backup-simplify]: Simplify 1.0 into 1.0 11.501 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 11.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 11.502 * [taylor]: Taking taylor expansion of -2.0 in k 11.502 * [backup-simplify]: Simplify -2.0 into -2.0 11.502 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.502 * [taylor]: Taking taylor expansion of PI in k 11.502 * [backup-simplify]: Simplify PI into PI 11.502 * [taylor]: Taking taylor expansion of n in k 11.502 * [backup-simplify]: Simplify n into n 11.502 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.502 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 11.502 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 11.502 * [backup-simplify]: Simplify (+ 1 0) into 1 11.503 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 11.503 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 11.503 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 11.503 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.503 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.503 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.504 * [taylor]: Taking taylor expansion of 0.25 in n 11.504 * [backup-simplify]: Simplify 0.25 into 0.25 11.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.504 * [taylor]: Taking taylor expansion of k in n 11.504 * [backup-simplify]: Simplify k into k 11.504 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.504 * [taylor]: Taking taylor expansion of 1.0 in n 11.504 * [backup-simplify]: Simplify 1.0 into 1.0 11.504 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.504 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.504 * [taylor]: Taking taylor expansion of -2.0 in n 11.504 * [backup-simplify]: Simplify -2.0 into -2.0 11.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.504 * [taylor]: Taking taylor expansion of PI in n 11.504 * [backup-simplify]: Simplify PI into PI 11.504 * [taylor]: Taking taylor expansion of n in n 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.505 * [backup-simplify]: Simplify (/ PI 1) into PI 11.505 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.506 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.506 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.506 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.508 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.509 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.510 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.510 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.511 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.511 * [taylor]: Taking taylor expansion of 0.25 in n 11.511 * [backup-simplify]: Simplify 0.25 into 0.25 11.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.511 * [taylor]: Taking taylor expansion of k in n 11.511 * [backup-simplify]: Simplify k into k 11.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.511 * [taylor]: Taking taylor expansion of 1.0 in n 11.511 * [backup-simplify]: Simplify 1.0 into 1.0 11.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.511 * [taylor]: Taking taylor expansion of -2.0 in n 11.511 * [backup-simplify]: Simplify -2.0 into -2.0 11.511 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.511 * [taylor]: Taking taylor expansion of PI in n 11.511 * [backup-simplify]: Simplify PI into PI 11.511 * [taylor]: Taking taylor expansion of n in n 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 1 into 1 11.512 * [backup-simplify]: Simplify (/ PI 1) into PI 11.512 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.513 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.513 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.513 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.515 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.516 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.517 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.518 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 11.518 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 11.518 * [taylor]: Taking taylor expansion of 0.25 in k 11.518 * [backup-simplify]: Simplify 0.25 into 0.25 11.518 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 11.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.518 * [taylor]: Taking taylor expansion of k in k 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [backup-simplify]: Simplify (/ 1 1) into 1 11.518 * [taylor]: Taking taylor expansion of 1.0 in k 11.518 * [backup-simplify]: Simplify 1.0 into 1.0 11.518 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 11.518 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 11.518 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 11.518 * [taylor]: Taking taylor expansion of -2.0 in k 11.519 * [backup-simplify]: Simplify -2.0 into -2.0 11.519 * [taylor]: Taking taylor expansion of PI in k 11.519 * [backup-simplify]: Simplify PI into PI 11.519 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.520 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.520 * [taylor]: Taking taylor expansion of (log n) in k 11.520 * [taylor]: Taking taylor expansion of n in k 11.520 * [backup-simplify]: Simplify n into n 11.520 * [backup-simplify]: Simplify (log n) into (log n) 11.521 * [backup-simplify]: Simplify (+ 1 0) into 1 11.521 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.522 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 11.523 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 11.525 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 11.526 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.527 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.529 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 11.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.532 * [backup-simplify]: Simplify (+ 0 0) into 0 11.532 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.535 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 11.537 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.537 * [taylor]: Taking taylor expansion of 0 in k 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.539 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.543 * [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 11.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.543 * [backup-simplify]: Simplify (+ 0 0) into 0 11.544 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.546 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.547 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 11.550 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.550 * [taylor]: Taking taylor expansion of 0 in k 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.556 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.560 * [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 11.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.560 * [backup-simplify]: Simplify (+ 0 0) into 0 11.561 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.562 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.563 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 11.565 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 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 11.565 * [taylor]: Taking taylor expansion of 0 in k 11.565 * [backup-simplify]: Simplify 0 into 0 11.565 * [backup-simplify]: Simplify 0 into 0 11.566 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 11.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 11.566 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 11.566 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 11.566 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 11.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 11.566 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 11.566 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.566 * [taylor]: Taking taylor expansion of 0.25 in k 11.566 * [backup-simplify]: Simplify 0.25 into 0.25 11.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.566 * [taylor]: Taking taylor expansion of 1.0 in k 11.566 * [backup-simplify]: Simplify 1.0 into 1.0 11.566 * [taylor]: Taking taylor expansion of k in k 11.566 * [backup-simplify]: Simplify 0 into 0 11.566 * [backup-simplify]: Simplify 1 into 1 11.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 11.566 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 11.566 * [taylor]: Taking taylor expansion of 2.0 in k 11.566 * [backup-simplify]: Simplify 2.0 into 2.0 11.566 * [taylor]: Taking taylor expansion of (* n PI) in k 11.566 * [taylor]: Taking taylor expansion of n in k 11.567 * [backup-simplify]: Simplify n into n 11.567 * [taylor]: Taking taylor expansion of PI in k 11.567 * [backup-simplify]: Simplify PI into PI 11.567 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.567 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 11.567 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 11.567 * [backup-simplify]: Simplify (- 0) into 0 11.567 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.567 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.568 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 11.568 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 11.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.568 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.568 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.568 * [taylor]: Taking taylor expansion of 0.25 in n 11.568 * [backup-simplify]: Simplify 0.25 into 0.25 11.568 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.568 * [taylor]: Taking taylor expansion of 1.0 in n 11.568 * [backup-simplify]: Simplify 1.0 into 1.0 11.568 * [taylor]: Taking taylor expansion of k in n 11.568 * [backup-simplify]: Simplify k into k 11.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.568 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.568 * [taylor]: Taking taylor expansion of 2.0 in n 11.568 * [backup-simplify]: Simplify 2.0 into 2.0 11.568 * [taylor]: Taking taylor expansion of (* n PI) in n 11.568 * [taylor]: Taking taylor expansion of n in n 11.568 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify 1 into 1 11.568 * [taylor]: Taking taylor expansion of PI in n 11.568 * [backup-simplify]: Simplify PI into PI 11.568 * [backup-simplify]: Simplify (* 0 PI) into 0 11.569 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.571 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.571 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.571 * [backup-simplify]: Simplify (- k) into (- k) 11.571 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.571 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.572 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.573 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.574 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.574 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.574 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.574 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.574 * [taylor]: Taking taylor expansion of 0.25 in n 11.574 * [backup-simplify]: Simplify 0.25 into 0.25 11.574 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.574 * [taylor]: Taking taylor expansion of 1.0 in n 11.574 * [backup-simplify]: Simplify 1.0 into 1.0 11.574 * [taylor]: Taking taylor expansion of k in n 11.574 * [backup-simplify]: Simplify k into k 11.574 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.574 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.574 * [taylor]: Taking taylor expansion of 2.0 in n 11.574 * [backup-simplify]: Simplify 2.0 into 2.0 11.574 * [taylor]: Taking taylor expansion of (* n PI) in n 11.574 * [taylor]: Taking taylor expansion of n in n 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify 1 into 1 11.574 * [taylor]: Taking taylor expansion of PI in n 11.574 * [backup-simplify]: Simplify PI into PI 11.574 * [backup-simplify]: Simplify (* 0 PI) into 0 11.575 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.576 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.576 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.577 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.577 * [backup-simplify]: Simplify (- k) into (- k) 11.577 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.577 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.578 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.579 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.580 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.580 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 11.580 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 11.580 * [taylor]: Taking taylor expansion of 0.25 in k 11.580 * [backup-simplify]: Simplify 0.25 into 0.25 11.580 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 11.580 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.580 * [taylor]: Taking taylor expansion of 1.0 in k 11.580 * [backup-simplify]: Simplify 1.0 into 1.0 11.580 * [taylor]: Taking taylor expansion of k in k 11.580 * [backup-simplify]: Simplify 0 into 0 11.580 * [backup-simplify]: Simplify 1 into 1 11.580 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 11.580 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.580 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.580 * [taylor]: Taking taylor expansion of 2.0 in k 11.580 * [backup-simplify]: Simplify 2.0 into 2.0 11.580 * [taylor]: Taking taylor expansion of PI in k 11.580 * [backup-simplify]: Simplify PI into PI 11.580 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.581 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.581 * [taylor]: Taking taylor expansion of (log n) in k 11.581 * [taylor]: Taking taylor expansion of n in k 11.581 * [backup-simplify]: Simplify n into n 11.581 * [backup-simplify]: Simplify (log n) into (log n) 11.581 * [backup-simplify]: Simplify (- 0) into 0 11.582 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.583 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 11.584 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 11.584 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 11.585 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.586 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.588 * [backup-simplify]: Simplify (- 0) into 0 11.588 * [backup-simplify]: Simplify (+ 0 0) into 0 11.589 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 11.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.590 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 11.592 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.592 * [taylor]: Taking taylor expansion of 0 in k 11.592 * [backup-simplify]: Simplify 0 into 0 11.592 * [backup-simplify]: Simplify 0 into 0 11.592 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.594 * [backup-simplify]: Simplify (+ 0 0) into 0 11.594 * [backup-simplify]: Simplify (- 1) into -1 11.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.595 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 11.597 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 11.599 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.601 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.602 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.604 * [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 11.604 * [backup-simplify]: Simplify (- 0) into 0 11.605 * [backup-simplify]: Simplify (+ 0 0) into 0 11.605 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.606 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.607 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.609 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.609 * [taylor]: Taking taylor expansion of 0 in k 11.609 * [backup-simplify]: Simplify 0 into 0 11.609 * [backup-simplify]: Simplify 0 into 0 11.609 * [backup-simplify]: Simplify 0 into 0 11.609 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.611 * [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 11.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.612 * [backup-simplify]: Simplify (+ 0 0) into 0 11.613 * [backup-simplify]: Simplify (- 0) into 0 11.613 * [backup-simplify]: Simplify (+ 0 0) into 0 11.614 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.616 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 11.618 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.621 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.628 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 11.628 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 11.628 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 11.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 11.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 11.628 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 11.628 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 11.628 * [taylor]: Taking taylor expansion of 0.25 in k 11.628 * [backup-simplify]: Simplify 0.25 into 0.25 11.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.628 * [taylor]: Taking taylor expansion of 1.0 in k 11.628 * [backup-simplify]: Simplify 1.0 into 1.0 11.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.629 * [taylor]: Taking taylor expansion of k in k 11.629 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify 1 into 1 11.629 * [backup-simplify]: Simplify (/ 1 1) into 1 11.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 11.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 11.629 * [taylor]: Taking taylor expansion of 2.0 in k 11.629 * [backup-simplify]: Simplify 2.0 into 2.0 11.629 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.629 * [taylor]: Taking taylor expansion of PI in k 11.629 * [backup-simplify]: Simplify PI into PI 11.629 * [taylor]: Taking taylor expansion of n in k 11.629 * [backup-simplify]: Simplify n into n 11.629 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.629 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 11.629 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 11.629 * [backup-simplify]: Simplify (- 1) into -1 11.630 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.630 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 11.630 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 11.630 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 11.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.630 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.630 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.630 * [taylor]: Taking taylor expansion of 0.25 in n 11.630 * [backup-simplify]: Simplify 0.25 into 0.25 11.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.630 * [taylor]: Taking taylor expansion of 1.0 in n 11.630 * [backup-simplify]: Simplify 1.0 into 1.0 11.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.630 * [taylor]: Taking taylor expansion of k in n 11.630 * [backup-simplify]: Simplify k into k 11.630 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.630 * [taylor]: Taking taylor expansion of 2.0 in n 11.631 * [backup-simplify]: Simplify 2.0 into 2.0 11.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.631 * [taylor]: Taking taylor expansion of PI in n 11.631 * [backup-simplify]: Simplify PI into PI 11.631 * [taylor]: Taking taylor expansion of n in n 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify 1 into 1 11.631 * [backup-simplify]: Simplify (/ PI 1) into PI 11.631 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.632 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.632 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.632 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.632 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.634 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.634 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.635 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.635 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.635 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.635 * [taylor]: Taking taylor expansion of 0.25 in n 11.635 * [backup-simplify]: Simplify 0.25 into 0.25 11.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.635 * [taylor]: Taking taylor expansion of 1.0 in n 11.635 * [backup-simplify]: Simplify 1.0 into 1.0 11.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.635 * [taylor]: Taking taylor expansion of k in n 11.635 * [backup-simplify]: Simplify k into k 11.635 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.635 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.635 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.635 * [taylor]: Taking taylor expansion of 2.0 in n 11.635 * [backup-simplify]: Simplify 2.0 into 2.0 11.635 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.635 * [taylor]: Taking taylor expansion of PI in n 11.635 * [backup-simplify]: Simplify PI into PI 11.635 * [taylor]: Taking taylor expansion of n in n 11.635 * [backup-simplify]: Simplify 0 into 0 11.635 * [backup-simplify]: Simplify 1 into 1 11.635 * [backup-simplify]: Simplify (/ PI 1) into PI 11.636 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.636 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.636 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.636 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.636 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.637 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.638 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.639 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.639 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 11.639 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 11.639 * [taylor]: Taking taylor expansion of 0.25 in k 11.639 * [backup-simplify]: Simplify 0.25 into 0.25 11.639 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 11.639 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 11.639 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.639 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.639 * [taylor]: Taking taylor expansion of 2.0 in k 11.639 * [backup-simplify]: Simplify 2.0 into 2.0 11.639 * [taylor]: Taking taylor expansion of PI in k 11.639 * [backup-simplify]: Simplify PI into PI 11.639 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.640 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.640 * [taylor]: Taking taylor expansion of (log n) in k 11.640 * [taylor]: Taking taylor expansion of n in k 11.640 * [backup-simplify]: Simplify n into n 11.640 * [backup-simplify]: Simplify (log n) into (log n) 11.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.640 * [taylor]: Taking taylor expansion of 1.0 in k 11.640 * [backup-simplify]: Simplify 1.0 into 1.0 11.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.640 * [taylor]: Taking taylor expansion of k in k 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify 1 into 1 11.641 * [backup-simplify]: Simplify (/ 1 1) into 1 11.641 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.641 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 11.642 * [backup-simplify]: Simplify (- 1) into -1 11.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.642 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 11.643 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 11.644 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.645 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.651 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.653 * [backup-simplify]: Simplify (- 0) into 0 11.653 * [backup-simplify]: Simplify (+ 0 0) into 0 11.653 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.654 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.655 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 11.656 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.656 * [taylor]: Taking taylor expansion of 0 in k 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.657 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.659 * [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 11.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.660 * [backup-simplify]: Simplify (- 0) into 0 11.660 * [backup-simplify]: Simplify (+ 0 0) into 0 11.660 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.661 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.663 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 11.664 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.664 * [taylor]: Taking taylor expansion of 0 in k 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 0 into 0 11.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.669 * [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 11.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.669 * [backup-simplify]: Simplify (- 0) into 0 11.670 * [backup-simplify]: Simplify (+ 0 0) into 0 11.670 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.673 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 11.674 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 11.674 * [taylor]: Taking taylor expansion of 0 in k 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.675 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 11.676 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 11.676 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 11.676 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 11.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 11.676 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 11.676 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 11.676 * [taylor]: Taking taylor expansion of 0.25 in k 11.676 * [backup-simplify]: Simplify 0.25 into 0.25 11.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.676 * [taylor]: Taking taylor expansion of k in k 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [backup-simplify]: Simplify (/ 1 1) into 1 11.676 * [taylor]: Taking taylor expansion of 1.0 in k 11.676 * [backup-simplify]: Simplify 1.0 into 1.0 11.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 11.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 11.676 * [taylor]: Taking taylor expansion of -2.0 in k 11.676 * [backup-simplify]: Simplify -2.0 into -2.0 11.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.676 * [taylor]: Taking taylor expansion of PI in k 11.676 * [backup-simplify]: Simplify PI into PI 11.676 * [taylor]: Taking taylor expansion of n in k 11.676 * [backup-simplify]: Simplify n into n 11.676 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.676 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 11.676 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 11.677 * [backup-simplify]: Simplify (+ 1 0) into 1 11.677 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 11.677 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 11.677 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 11.677 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.677 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.677 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.677 * [taylor]: Taking taylor expansion of 0.25 in n 11.677 * [backup-simplify]: Simplify 0.25 into 0.25 11.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.677 * [taylor]: Taking taylor expansion of k in n 11.678 * [backup-simplify]: Simplify k into k 11.678 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.678 * [taylor]: Taking taylor expansion of 1.0 in n 11.678 * [backup-simplify]: Simplify 1.0 into 1.0 11.678 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.678 * [taylor]: Taking taylor expansion of -2.0 in n 11.678 * [backup-simplify]: Simplify -2.0 into -2.0 11.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.678 * [taylor]: Taking taylor expansion of PI in n 11.678 * [backup-simplify]: Simplify PI into PI 11.678 * [taylor]: Taking taylor expansion of n in n 11.678 * [backup-simplify]: Simplify 0 into 0 11.678 * [backup-simplify]: Simplify 1 into 1 11.678 * [backup-simplify]: Simplify (/ PI 1) into PI 11.678 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.679 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.679 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.679 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.681 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.682 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.682 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.682 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.682 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.682 * [taylor]: Taking taylor expansion of 0.25 in n 11.682 * [backup-simplify]: Simplify 0.25 into 0.25 11.682 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.682 * [taylor]: Taking taylor expansion of k in n 11.682 * [backup-simplify]: Simplify k into k 11.682 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.682 * [taylor]: Taking taylor expansion of 1.0 in n 11.682 * [backup-simplify]: Simplify 1.0 into 1.0 11.682 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.682 * [taylor]: Taking taylor expansion of -2.0 in n 11.682 * [backup-simplify]: Simplify -2.0 into -2.0 11.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.682 * [taylor]: Taking taylor expansion of PI in n 11.682 * [backup-simplify]: Simplify PI into PI 11.682 * [taylor]: Taking taylor expansion of n in n 11.682 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify 1 into 1 11.682 * [backup-simplify]: Simplify (/ PI 1) into PI 11.683 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.683 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.684 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.684 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.685 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.686 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.686 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 11.686 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 11.686 * [taylor]: Taking taylor expansion of 0.25 in k 11.686 * [backup-simplify]: Simplify 0.25 into 0.25 11.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 11.686 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.686 * [taylor]: Taking taylor expansion of k in k 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 1 into 1 11.687 * [backup-simplify]: Simplify (/ 1 1) into 1 11.687 * [taylor]: Taking taylor expansion of 1.0 in k 11.687 * [backup-simplify]: Simplify 1.0 into 1.0 11.687 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 11.687 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 11.687 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 11.687 * [taylor]: Taking taylor expansion of -2.0 in k 11.687 * [backup-simplify]: Simplify -2.0 into -2.0 11.687 * [taylor]: Taking taylor expansion of PI in k 11.687 * [backup-simplify]: Simplify PI into PI 11.687 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.688 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.688 * [taylor]: Taking taylor expansion of (log n) in k 11.688 * [taylor]: Taking taylor expansion of n in k 11.688 * [backup-simplify]: Simplify n into n 11.688 * [backup-simplify]: Simplify (log n) into (log n) 11.688 * [backup-simplify]: Simplify (+ 1 0) into 1 11.688 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.689 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 11.690 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 11.690 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 11.691 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.692 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.693 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 11.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.694 * [backup-simplify]: Simplify (+ 0 0) into 0 11.695 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.696 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.696 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 11.698 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.698 * [taylor]: Taking taylor expansion of 0 in k 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.700 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.704 * [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 11.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.705 * [backup-simplify]: Simplify (+ 0 0) into 0 11.705 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.709 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 11.711 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.712 * [taylor]: Taking taylor expansion of 0 in k 11.712 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.721 * [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 11.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.722 * [backup-simplify]: Simplify (+ 0 0) into 0 11.723 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.727 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 11.729 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 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 11.729 * [taylor]: Taking taylor expansion of 0 in k 11.729 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 11.730 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 11.731 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.731 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 11.731 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.731 * [taylor]: Taking taylor expansion of 2.0 in n 11.731 * [backup-simplify]: Simplify 2.0 into 2.0 11.731 * [taylor]: Taking taylor expansion of (* n PI) in n 11.731 * [taylor]: Taking taylor expansion of n in n 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [taylor]: Taking taylor expansion of PI in n 11.731 * [backup-simplify]: Simplify PI into PI 11.731 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.731 * [taylor]: Taking taylor expansion of 2.0 in n 11.731 * [backup-simplify]: Simplify 2.0 into 2.0 11.731 * [taylor]: Taking taylor expansion of (* n PI) in n 11.731 * [taylor]: Taking taylor expansion of n in n 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [taylor]: Taking taylor expansion of PI in n 11.731 * [backup-simplify]: Simplify PI into PI 11.731 * [backup-simplify]: Simplify (* 0 PI) into 0 11.732 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.732 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.734 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.734 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.735 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.735 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.736 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.736 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.738 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.740 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 11.740 * [backup-simplify]: Simplify 0 into 0 11.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.742 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 11.742 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 11.744 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 11.744 * [backup-simplify]: Simplify 0 into 0 11.744 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.745 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 11.745 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 11.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.745 * [taylor]: Taking taylor expansion of 2.0 in n 11.745 * [backup-simplify]: Simplify 2.0 into 2.0 11.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.745 * [taylor]: Taking taylor expansion of PI in n 11.745 * [backup-simplify]: Simplify PI into PI 11.745 * [taylor]: Taking taylor expansion of n in n 11.745 * [backup-simplify]: Simplify 0 into 0 11.745 * [backup-simplify]: Simplify 1 into 1 11.745 * [backup-simplify]: Simplify (/ PI 1) into PI 11.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.745 * [taylor]: Taking taylor expansion of 2.0 in n 11.745 * [backup-simplify]: Simplify 2.0 into 2.0 11.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.745 * [taylor]: Taking taylor expansion of PI in n 11.745 * [backup-simplify]: Simplify PI into PI 11.745 * [taylor]: Taking taylor expansion of n in n 11.745 * [backup-simplify]: Simplify 0 into 0 11.745 * [backup-simplify]: Simplify 1 into 1 11.745 * [backup-simplify]: Simplify (/ PI 1) into PI 11.746 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.746 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.748 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.748 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.750 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.750 * [backup-simplify]: Simplify 0 into 0 11.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.751 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.751 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.753 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [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 11.754 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.754 * [backup-simplify]: Simplify 0 into 0 11.755 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 11.760 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 11.761 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 11.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.761 * [taylor]: Taking taylor expansion of -2.0 in n 11.761 * [backup-simplify]: Simplify -2.0 into -2.0 11.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.761 * [taylor]: Taking taylor expansion of PI in n 11.761 * [backup-simplify]: Simplify PI into PI 11.761 * [taylor]: Taking taylor expansion of n in n 11.761 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify 1 into 1 11.761 * [backup-simplify]: Simplify (/ PI 1) into PI 11.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.761 * [taylor]: Taking taylor expansion of -2.0 in n 11.761 * [backup-simplify]: Simplify -2.0 into -2.0 11.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.761 * [taylor]: Taking taylor expansion of PI in n 11.761 * [backup-simplify]: Simplify PI into PI 11.761 * [taylor]: Taking taylor expansion of n in n 11.761 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify 1 into 1 11.762 * [backup-simplify]: Simplify (/ PI 1) into PI 11.762 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.762 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.763 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.763 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.765 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.765 * [backup-simplify]: Simplify 0 into 0 11.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.767 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.767 * [backup-simplify]: Simplify 0 into 0 11.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.769 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.769 * [backup-simplify]: Simplify 0 into 0 11.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.772 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.772 * [backup-simplify]: Simplify 0 into 0 11.773 * [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 11.775 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.775 * [backup-simplify]: Simplify 0 into 0 11.776 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 11.776 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 11.776 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.776 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 11.776 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.776 * [taylor]: Taking taylor expansion of 2.0 in n 11.776 * [backup-simplify]: Simplify 2.0 into 2.0 11.776 * [taylor]: Taking taylor expansion of (* n PI) in n 11.777 * [taylor]: Taking taylor expansion of n in n 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.777 * [taylor]: Taking taylor expansion of PI in n 11.777 * [backup-simplify]: Simplify PI into PI 11.777 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.777 * [taylor]: Taking taylor expansion of 2.0 in n 11.777 * [backup-simplify]: Simplify 2.0 into 2.0 11.777 * [taylor]: Taking taylor expansion of (* n PI) in n 11.777 * [taylor]: Taking taylor expansion of n in n 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.777 * [taylor]: Taking taylor expansion of PI in n 11.777 * [backup-simplify]: Simplify PI into PI 11.777 * [backup-simplify]: Simplify (* 0 PI) into 0 11.778 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.778 * [backup-simplify]: Simplify 0 into 0 11.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.781 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.782 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.784 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.786 * [backup-simplify]: Simplify 0 into 0 11.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 11.789 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.792 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 11.792 * [backup-simplify]: Simplify 0 into 0 11.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.794 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 11.797 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 11.797 * [backup-simplify]: Simplify 0 into 0 11.797 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.797 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 11.797 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 11.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.797 * [taylor]: Taking taylor expansion of 2.0 in n 11.797 * [backup-simplify]: Simplify 2.0 into 2.0 11.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.798 * [taylor]: Taking taylor expansion of PI in n 11.798 * [backup-simplify]: Simplify PI into PI 11.798 * [taylor]: Taking taylor expansion of n in n 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 1 into 1 11.798 * [backup-simplify]: Simplify (/ PI 1) into PI 11.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.798 * [taylor]: Taking taylor expansion of 2.0 in n 11.798 * [backup-simplify]: Simplify 2.0 into 2.0 11.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.798 * [taylor]: Taking taylor expansion of PI in n 11.798 * [backup-simplify]: Simplify PI into PI 11.798 * [taylor]: Taking taylor expansion of n in n 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 1 into 1 11.798 * [backup-simplify]: Simplify (/ PI 1) into PI 11.799 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.799 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.800 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.800 * [backup-simplify]: Simplify 0 into 0 11.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.802 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.802 * [backup-simplify]: Simplify 0 into 0 11.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.803 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.803 * [backup-simplify]: Simplify 0 into 0 11.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.804 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.804 * [backup-simplify]: Simplify 0 into 0 11.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.806 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.806 * [backup-simplify]: Simplify 0 into 0 11.807 * [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 11.808 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 11.808 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 11.808 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 11.808 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.808 * [taylor]: Taking taylor expansion of -2.0 in n 11.808 * [backup-simplify]: Simplify -2.0 into -2.0 11.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.808 * [taylor]: Taking taylor expansion of PI in n 11.808 * [backup-simplify]: Simplify PI into PI 11.808 * [taylor]: Taking taylor expansion of n in n 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify 1 into 1 11.809 * [backup-simplify]: Simplify (/ PI 1) into PI 11.809 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.809 * [taylor]: Taking taylor expansion of -2.0 in n 11.809 * [backup-simplify]: Simplify -2.0 into -2.0 11.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.809 * [taylor]: Taking taylor expansion of PI in n 11.809 * [backup-simplify]: Simplify PI into PI 11.809 * [taylor]: Taking taylor expansion of n in n 11.809 * [backup-simplify]: Simplify 0 into 0 11.809 * [backup-simplify]: Simplify 1 into 1 11.809 * [backup-simplify]: Simplify (/ PI 1) into PI 11.810 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.810 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.811 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.811 * [backup-simplify]: Simplify 0 into 0 11.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.812 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.812 * [backup-simplify]: Simplify 0 into 0 11.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.813 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.813 * [backup-simplify]: Simplify 0 into 0 11.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.815 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.815 * [backup-simplify]: Simplify 0 into 0 11.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.816 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.816 * [backup-simplify]: Simplify 0 into 0 11.817 * [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 11.818 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.818 * [backup-simplify]: Simplify 0 into 0 11.818 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 11.818 * * * [progress]: simplifying candidates 11.822 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 11.823 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (/ (- 1.0 h0) 2.0) 2)) (* (+ (log (* 2.0 h2)) (log h1)) (/ (/ 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(* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0)) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (sqrt (- 1.0 h0)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (sqrt (- 1.0 h0)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) 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h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0)) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) 1) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) 1) 1)) (pow (* (* 2.0 h2) h1) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 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(cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (sqrt (/ (- 1.0 h0) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (sqrt (/ (- 1.0 h0) 2.0)) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (sqrt (/ (- 1.0 h0) 2.0)) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0)) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (* (cbrt (- 1.0 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2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 h2) h1) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ 1 1) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0)) 1)) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) 1) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ (+ (sqrt 1.0) (sqrt h0)) 1) 1)) (pow (* (* 2.0 h2) h1) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 h2) h1) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 h2) h1) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (/ 1 1) 1)) (pow (* (* 2.0 h2) h1) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ 1 (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ 1 1)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) (sqrt 2))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 1)) (pow (* (* 2.0 h2) h1) 1) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2)) (log (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (exp (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (cbrt (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (cbrt (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2)))) (cbrt (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (* (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (sqrt (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (sqrt (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (pow (* (* 2.0 h2) h1) (/ (/ (/ (- 1.0 h0) 2.0) 2) 2)) (pow (* (* 2.0 h2) h1) (/ (/ (/ (- 1.0 h0) 2.0) 2) 2)) (* (* 2.0 h2) h1) (* (* 2.0 h2) h1) (+ (+ (log 2.0) (log h2)) (log h1)) (+ (log (* 2.0 h2)) (log h1)) (log (* (* 2.0 h2) h1)) (exp (* (* 2.0 h2) h1)) (* (* (* (* 2.0 2.0) 2.0) (* (* h2 h2) h2)) (* (* h1 h1) h1)) (* (* (* (* 2.0 h2) (* 2.0 h2)) (* 2.0 h2)) (* (* h1 h1) h1)) (* (cbrt (* (* 2.0 h2) h1)) (cbrt (* (* 2.0 h2) h1))) (cbrt (* (* 2.0 h2) h1)) (* (* (* (* 2.0 h2) h1) (* (* 2.0 h2) h1)) (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (* (* 2.0 h2) (* (cbrt h1) (cbrt h1))) (* (* 2.0 h2) (sqrt h1)) (* (* 2.0 h2) 1) (* h2 h1) (* (* 2.0 h2) h1) (* (* 2.0 h2) h1) (+ (+ (log 2.0) (log h2)) (log h1)) (+ (log (* 2.0 h2)) (log h1)) (log (* (* 2.0 h2) h1)) (exp (* (* 2.0 h2) h1)) (* (* (* (* 2.0 2.0) 2.0) (* (* h2 h2) h2)) (* (* h1 h1) h1)) (* (* (* (* 2.0 h2) (* 2.0 h2)) (* 2.0 h2)) (* (* h1 h1) h1)) (* (cbrt (* (* 2.0 h2) h1)) (cbrt (* (* 2.0 h2) h1))) (cbrt (* (* 2.0 h2) h1)) (* (* (* (* 2.0 h2) h1) (* (* 2.0 h2) h1)) (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (* (* 2.0 h2) (* (cbrt h1) (cbrt h1))) (* (* 2.0 h2) (sqrt h1)) (* (* 2.0 h2) 1) (* h2 h1) (- (+ (* h4 (* (pow h0 2) (* (pow (log (* 2.0 h2)) 2) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (+ (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (+ (* h5 (* (pow h0 2) (* (log (* 2.0 h2)) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1))))) (* h4 (* (pow h0 2) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (pow (log h1) 2))))))) (+ (* h3 (* h0 (* (log (* 2.0 h2)) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (* h3 (* h0 (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1)))))) (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (- (+ (* h4 (* (pow h0 2) (* (pow (log (* 2.0 h2)) 2) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (+ (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (+ (* h5 (* (pow h0 2) (* (log (* 2.0 h2)) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1))))) (* h4 (* (pow h0 2) (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (pow (log h1) 2))))))) (+ (* h3 (* h0 (* (log (* 2.0 h2)) (exp (* h3 (+ (log (* 2.0 h2)) (log h1))))))) (* h3 (* h0 (* (exp (* h3 (+ (log (* 2.0 h2)) (log h1)))) (log h1)))))) (exp (* h3 (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (exp (* h3 (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) 13.066 * * * [progress]: adding candidates to table 14.075 * [progress]: [Phase 3 of 3] Extracting. 14.075 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 14.082 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 14.082 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 14.135 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 14.163 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 14.240 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 14.310 * * * [regime]: Found split indices: #