16.201 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.242 * * * [progress]: [2/2] Setting up program. 0.245 * [progress]: [Phase 2 of 3] Improving. 0.245 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.245 * [simplify]: Sending expressions to egg_math: (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) 0.247 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.248 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.250 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.252 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.258 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.280 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.281 * * [progress]: iteration 1 / 4 0.281 * * * [progress]: picking best candidate 0.283 * * * * [pick]: Picked # 0.283 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.327 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.345 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.392 * * * [progress]: generating series expansions 0.392 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.392 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 0.392 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.392 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.393 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.393 * [taylor]: Taking taylor expansion of 0.5 in k 0.393 * [backup-simplify]: Simplify 0.5 into 0.5 0.393 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.393 * [taylor]: Taking taylor expansion of 1.0 in k 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of k in k 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.393 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.393 * [taylor]: Taking taylor expansion of 2.0 in k 0.393 * [backup-simplify]: Simplify 2.0 into 2.0 0.393 * [taylor]: Taking taylor expansion of (* n PI) in k 0.393 * [taylor]: Taking taylor expansion of n in k 0.393 * [backup-simplify]: Simplify n into n 0.393 * [taylor]: Taking taylor expansion of PI in k 0.393 * [backup-simplify]: Simplify PI into PI 0.393 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.393 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.393 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.394 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.394 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.394 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.394 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.394 * [taylor]: Taking taylor expansion of 0.5 in n 0.394 * [backup-simplify]: Simplify 0.5 into 0.5 0.394 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.394 * [taylor]: Taking taylor expansion of 1.0 in n 0.394 * [backup-simplify]: Simplify 1.0 into 1.0 0.394 * [taylor]: Taking taylor expansion of k in n 0.394 * [backup-simplify]: Simplify k into k 0.394 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.394 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.394 * [taylor]: Taking taylor expansion of 2.0 in n 0.394 * [backup-simplify]: Simplify 2.0 into 2.0 0.394 * [taylor]: Taking taylor expansion of (* n PI) in n 0.394 * [taylor]: Taking taylor expansion of n in n 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [taylor]: Taking taylor expansion of PI in n 0.394 * [backup-simplify]: Simplify PI into PI 0.395 * [backup-simplify]: Simplify (* 0 PI) into 0 0.395 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.396 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.397 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.397 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.397 * [backup-simplify]: Simplify (- k) into (- k) 0.397 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.397 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.398 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.399 * [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)))) 0.399 * [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))))) 0.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.400 * [taylor]: Taking taylor expansion of 0.5 in n 0.400 * [backup-simplify]: Simplify 0.5 into 0.5 0.400 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of k in n 0.400 * [backup-simplify]: Simplify k into k 0.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.400 * [taylor]: Taking taylor expansion of 2.0 in n 0.400 * [backup-simplify]: Simplify 2.0 into 2.0 0.400 * [taylor]: Taking taylor expansion of (* n PI) in n 0.400 * [taylor]: Taking taylor expansion of n in n 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [taylor]: Taking taylor expansion of PI in n 0.400 * [backup-simplify]: Simplify PI into PI 0.400 * [backup-simplify]: Simplify (* 0 PI) into 0 0.400 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.401 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.402 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.403 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.403 * [backup-simplify]: Simplify (- k) into (- k) 0.403 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.403 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.404 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.404 * [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)))) 0.405 * [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))))) 0.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.405 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.405 * [taylor]: Taking taylor expansion of 0.5 in k 0.405 * [backup-simplify]: Simplify 0.5 into 0.5 0.405 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.405 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.405 * [taylor]: Taking taylor expansion of 1.0 in k 0.405 * [backup-simplify]: Simplify 1.0 into 1.0 0.405 * [taylor]: Taking taylor expansion of k in k 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.405 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.405 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.405 * [taylor]: Taking taylor expansion of 2.0 in k 0.405 * [backup-simplify]: Simplify 2.0 into 2.0 0.405 * [taylor]: Taking taylor expansion of PI in k 0.405 * [backup-simplify]: Simplify PI into PI 0.406 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.406 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.406 * [taylor]: Taking taylor expansion of (log n) in k 0.406 * [taylor]: Taking taylor expansion of n in k 0.406 * [backup-simplify]: Simplify n into n 0.406 * [backup-simplify]: Simplify (log n) into (log n) 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.407 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 0.408 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 0.409 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 0.409 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.410 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 0.414 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.414 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 0.415 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.416 * [taylor]: Taking taylor expansion of 0 in k 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (- 1) into -1 0.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.419 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 0.420 * [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)))) 0.422 * [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)))))) 0.424 * [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)))))) 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.427 * [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 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.429 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of 0 in k 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.433 * [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 0.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 0.440 * [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)))))) 0.443 * [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)))))) 0.449 * [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)))))) 0.450 * [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)))) 0.450 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.450 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.450 * [taylor]: Taking taylor expansion of 0.5 in k 0.450 * [backup-simplify]: Simplify 0.5 into 0.5 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.450 * [taylor]: Taking taylor expansion of 2.0 in k 0.450 * [backup-simplify]: Simplify 2.0 into 2.0 0.450 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.450 * [taylor]: Taking taylor expansion of PI in k 0.450 * [backup-simplify]: Simplify PI into PI 0.450 * [taylor]: Taking taylor expansion of n in k 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.451 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.451 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.451 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.451 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.452 * [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))))) 0.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.452 * [taylor]: Taking taylor expansion of 0.5 in n 0.452 * [backup-simplify]: Simplify 0.5 into 0.5 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.452 * [taylor]: Taking taylor expansion of k in n 0.452 * [backup-simplify]: Simplify k into k 0.452 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [backup-simplify]: Simplify 2.0 into 2.0 0.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.452 * [backup-simplify]: Simplify PI into PI 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ PI 1) into PI 0.453 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.453 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.453 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.453 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.454 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.455 * [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)))) 0.456 * [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))))) 0.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.456 * [taylor]: Taking taylor expansion of 0.5 in n 0.456 * [backup-simplify]: Simplify 0.5 into 0.5 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.456 * [taylor]: Taking taylor expansion of 1.0 in n 0.456 * [backup-simplify]: Simplify 1.0 into 1.0 0.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.456 * [taylor]: Taking taylor expansion of k in n 0.456 * [backup-simplify]: Simplify k into k 0.456 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.456 * [taylor]: Taking taylor expansion of 2.0 in n 0.456 * [backup-simplify]: Simplify 2.0 into 2.0 0.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.456 * [taylor]: Taking taylor expansion of PI in n 0.456 * [backup-simplify]: Simplify PI into PI 0.456 * [taylor]: Taking taylor expansion of n in n 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ PI 1) into PI 0.457 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.457 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.457 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.457 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.458 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.459 * [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)))) 0.460 * [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))))) 0.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.460 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.460 * [taylor]: Taking taylor expansion of 0.5 in k 0.460 * [backup-simplify]: Simplify 0.5 into 0.5 0.460 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.460 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.460 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.460 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.460 * [taylor]: Taking taylor expansion of 2.0 in k 0.460 * [backup-simplify]: Simplify 2.0 into 2.0 0.460 * [taylor]: Taking taylor expansion of PI in k 0.460 * [backup-simplify]: Simplify PI into PI 0.460 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.461 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.461 * [taylor]: Taking taylor expansion of (log n) in k 0.461 * [taylor]: Taking taylor expansion of n in k 0.461 * [backup-simplify]: Simplify n into n 0.461 * [backup-simplify]: Simplify (log n) into (log n) 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.461 * [taylor]: Taking taylor expansion of 1.0 in k 0.461 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.461 * [taylor]: Taking taylor expansion of k in k 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.462 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.463 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 0.464 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 0.465 * [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))))) 0.465 * [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))))) 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.470 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 0.475 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.475 * [taylor]: Taking taylor expansion of 0 in k 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.478 * [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 0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 0.480 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.481 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 0.482 * [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 0.482 * [taylor]: Taking taylor expansion of 0 in k 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.486 * [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 0.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 0.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.490 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 0.491 * [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 0.491 * [taylor]: Taking taylor expansion of 0 in k 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [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)))) 0.493 * [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))) 0.493 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.493 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.493 * [taylor]: Taking taylor expansion of 0.5 in k 0.493 * [backup-simplify]: Simplify 0.5 into 0.5 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.493 * [taylor]: Taking taylor expansion of k in k 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [taylor]: Taking taylor expansion of 1.0 in k 0.493 * [backup-simplify]: Simplify 1.0 into 1.0 0.493 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.493 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.493 * [taylor]: Taking taylor expansion of -2.0 in k 0.493 * [backup-simplify]: Simplify -2.0 into -2.0 0.493 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.493 * [taylor]: Taking taylor expansion of PI in k 0.493 * [backup-simplify]: Simplify PI into PI 0.493 * [taylor]: Taking taylor expansion of n in k 0.493 * [backup-simplify]: Simplify n into n 0.493 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.494 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.494 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.494 * [backup-simplify]: Simplify (+ 1 0) into 1 0.494 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.494 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.494 * [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)))))) 0.494 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [backup-simplify]: Simplify 0.5 into 0.5 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.494 * [taylor]: Taking taylor expansion of k in n 0.495 * [backup-simplify]: Simplify k into k 0.495 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.495 * [taylor]: Taking taylor expansion of 1.0 in n 0.495 * [backup-simplify]: Simplify 1.0 into 1.0 0.495 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.495 * [taylor]: Taking taylor expansion of -2.0 in n 0.495 * [backup-simplify]: Simplify -2.0 into -2.0 0.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.495 * [taylor]: Taking taylor expansion of PI in n 0.495 * [backup-simplify]: Simplify PI into PI 0.495 * [taylor]: Taking taylor expansion of n in n 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ PI 1) into PI 0.495 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.496 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.496 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.496 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.497 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.498 * [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)))) 0.498 * [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))))) 0.498 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.498 * [taylor]: Taking taylor expansion of 0.5 in n 0.498 * [backup-simplify]: Simplify 0.5 into 0.5 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.499 * [taylor]: Taking taylor expansion of k in n 0.499 * [backup-simplify]: Simplify k into k 0.499 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.499 * [taylor]: Taking taylor expansion of 1.0 in n 0.499 * [backup-simplify]: Simplify 1.0 into 1.0 0.499 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.499 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.499 * [taylor]: Taking taylor expansion of -2.0 in n 0.499 * [backup-simplify]: Simplify -2.0 into -2.0 0.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.499 * [taylor]: Taking taylor expansion of PI in n 0.499 * [backup-simplify]: Simplify PI into PI 0.499 * [taylor]: Taking taylor expansion of n in n 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ PI 1) into PI 0.499 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.500 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.500 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.500 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.501 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.502 * [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)))) 0.502 * [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))))) 0.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.502 * [taylor]: Taking taylor expansion of 0.5 in k 0.502 * [backup-simplify]: Simplify 0.5 into 0.5 0.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.502 * [taylor]: Taking taylor expansion of k in k 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [taylor]: Taking taylor expansion of 1.0 in k 0.503 * [backup-simplify]: Simplify 1.0 into 1.0 0.503 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.503 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.503 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.503 * [taylor]: Taking taylor expansion of -2.0 in k 0.503 * [backup-simplify]: Simplify -2.0 into -2.0 0.503 * [taylor]: Taking taylor expansion of PI in k 0.503 * [backup-simplify]: Simplify PI into PI 0.503 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.504 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.504 * [taylor]: Taking taylor expansion of (log n) in k 0.504 * [taylor]: Taking taylor expansion of n in k 0.504 * [backup-simplify]: Simplify n into n 0.504 * [backup-simplify]: Simplify (log n) into (log n) 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.505 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 0.505 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 0.506 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 0.507 * [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))))) 0.508 * [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))))) 0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 0.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.512 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.513 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in k 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.516 * [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 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.519 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 0.520 * [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 0.520 * [taylor]: Taking taylor expansion of 0 in k 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.524 * [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 0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 0.526 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.527 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 0.529 * [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 0.529 * [taylor]: Taking taylor expansion of 0 in k 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [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)))))) 0.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.530 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 0.530 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.530 * [taylor]: Taking taylor expansion of 1.0 in k 0.530 * [backup-simplify]: Simplify 1.0 into 1.0 0.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.530 * [taylor]: Taking taylor expansion of k in k 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (sqrt 0) into 0 0.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.532 * [taylor]: Taking taylor expansion of 1.0 in k 0.532 * [backup-simplify]: Simplify 1.0 into 1.0 0.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.532 * [taylor]: Taking taylor expansion of k in k 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (sqrt 0) into 0 0.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.533 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.534 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.538 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.538 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.541 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.542 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.543 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 0.543 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 0.543 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.543 * [taylor]: Taking taylor expansion of 1.0 in k 0.543 * [backup-simplify]: Simplify 1.0 into 1.0 0.543 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.543 * [taylor]: Taking taylor expansion of k in k 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (sqrt 0) into 0 0.544 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.544 * [taylor]: Taking taylor expansion of 1.0 in k 0.544 * [backup-simplify]: Simplify 1.0 into 1.0 0.544 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.544 * [taylor]: Taking taylor expansion of k in k 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (sqrt 0) into 0 0.545 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.545 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.546 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.548 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.549 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.549 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.553 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.553 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.554 * [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)))))))) 0.554 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 0.554 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.554 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.554 * [taylor]: Taking taylor expansion of 1.0 in k 0.554 * [backup-simplify]: Simplify 1.0 into 1.0 0.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.554 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.554 * [taylor]: Taking taylor expansion of -1 in k 0.554 * [backup-simplify]: Simplify -1 into -1 0.554 * [taylor]: Taking taylor expansion of k in k 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ -1 1) into -1 0.555 * [backup-simplify]: Simplify (sqrt 0) into 0 0.555 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.556 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.556 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.556 * [taylor]: Taking taylor expansion of 1.0 in k 0.556 * [backup-simplify]: Simplify 1.0 into 1.0 0.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.556 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.556 * [taylor]: Taking taylor expansion of -1 in k 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of k in k 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.556 * [backup-simplify]: Simplify (sqrt 0) into 0 0.557 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.557 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.557 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.561 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.570 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.570 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.571 * [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))))) 0.571 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.571 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.571 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.571 * [taylor]: Taking taylor expansion of 2.0 in n 0.571 * [backup-simplify]: Simplify 2.0 into 2.0 0.571 * [taylor]: Taking taylor expansion of (* n PI) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of PI in n 0.571 * [backup-simplify]: Simplify PI into PI 0.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.571 * [taylor]: Taking taylor expansion of 2.0 in n 0.571 * [backup-simplify]: Simplify 2.0 into 2.0 0.571 * [taylor]: Taking taylor expansion of (* n PI) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of PI in n 0.571 * [backup-simplify]: Simplify PI into PI 0.572 * [backup-simplify]: Simplify (* 0 PI) into 0 0.572 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.574 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.574 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.584 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 0.584 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [backup-simplify]: Simplify 2.0 into 2.0 0.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [backup-simplify]: Simplify PI into PI 0.584 * [taylor]: Taking taylor expansion of n in n 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ PI 1) into PI 0.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [backup-simplify]: Simplify 2.0 into 2.0 0.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [backup-simplify]: Simplify PI into PI 0.584 * [taylor]: Taking taylor expansion of n in n 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ PI 1) into PI 0.585 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.585 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [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 0.593 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 0.594 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 0.594 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.594 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.594 * [taylor]: Taking taylor expansion of -2.0 in n 0.594 * [backup-simplify]: Simplify -2.0 into -2.0 0.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.594 * [taylor]: Taking taylor expansion of PI in n 0.594 * [backup-simplify]: Simplify PI into PI 0.594 * [taylor]: Taking taylor expansion of n in n 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ PI 1) into PI 0.594 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.594 * [taylor]: Taking taylor expansion of -2.0 in n 0.594 * [backup-simplify]: Simplify -2.0 into -2.0 0.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.594 * [taylor]: Taking taylor expansion of PI in n 0.594 * [backup-simplify]: Simplify PI into PI 0.594 * [taylor]: Taking taylor expansion of n in n 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ PI 1) into PI 0.595 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.595 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [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 0.603 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 0.603 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.604 * [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))))) 0.604 * [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 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.604 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.604 * [taylor]: Taking taylor expansion of k in n 0.604 * [backup-simplify]: Simplify k into k 0.604 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.604 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.604 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.604 * [taylor]: Taking taylor expansion of 0.5 in n 0.604 * [backup-simplify]: Simplify 0.5 into 0.5 0.604 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [taylor]: Taking taylor expansion of k in n 0.604 * [backup-simplify]: Simplify k into k 0.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.604 * [backup-simplify]: Simplify 2.0 into 2.0 0.604 * [taylor]: Taking taylor expansion of (* n PI) in n 0.604 * [taylor]: Taking taylor expansion of n in n 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of PI in n 0.604 * [backup-simplify]: Simplify PI into PI 0.605 * [backup-simplify]: Simplify (* 0 PI) into 0 0.605 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.606 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.607 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.607 * [backup-simplify]: Simplify (- k) into (- k) 0.607 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.607 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.608 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.609 * [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)))) 0.609 * [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))))) 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.609 * [taylor]: Taking taylor expansion of 1.0 in k 0.609 * [backup-simplify]: Simplify 1.0 into 1.0 0.609 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.609 * [taylor]: Taking taylor expansion of k in k 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [backup-simplify]: Simplify (sqrt 0) into 0 0.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.611 * [taylor]: Taking taylor expansion of 0.5 in k 0.611 * [backup-simplify]: Simplify 0.5 into 0.5 0.611 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.611 * [taylor]: Taking taylor expansion of 1.0 in k 0.611 * [backup-simplify]: Simplify 1.0 into 1.0 0.611 * [taylor]: Taking taylor expansion of k in k 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.611 * [taylor]: Taking taylor expansion of 2.0 in k 0.611 * [backup-simplify]: Simplify 2.0 into 2.0 0.611 * [taylor]: Taking taylor expansion of (* n PI) in k 0.611 * [taylor]: Taking taylor expansion of n in k 0.611 * [backup-simplify]: Simplify n into n 0.611 * [taylor]: Taking taylor expansion of PI in k 0.611 * [backup-simplify]: Simplify PI into PI 0.611 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.611 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.611 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.612 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.612 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.612 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.612 * [taylor]: Taking taylor expansion of 1.0 in k 0.612 * [backup-simplify]: Simplify 1.0 into 1.0 0.612 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [backup-simplify]: Simplify (sqrt 0) into 0 0.614 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.614 * [taylor]: Taking taylor expansion of 0.5 in k 0.614 * [backup-simplify]: Simplify 0.5 into 0.5 0.614 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.614 * [taylor]: Taking taylor expansion of 1.0 in k 0.614 * [backup-simplify]: Simplify 1.0 into 1.0 0.614 * [taylor]: Taking taylor expansion of k in k 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.614 * [taylor]: Taking taylor expansion of 2.0 in k 0.614 * [backup-simplify]: Simplify 2.0 into 2.0 0.614 * [taylor]: Taking taylor expansion of (* n PI) in k 0.614 * [taylor]: Taking taylor expansion of n in k 0.614 * [backup-simplify]: Simplify n into n 0.614 * [taylor]: Taking taylor expansion of PI in k 0.614 * [backup-simplify]: Simplify PI into PI 0.614 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.614 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.614 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.615 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.615 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.615 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.615 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 0.615 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.616 * [taylor]: Taking taylor expansion of 0 in n 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.616 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 0.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 0.617 * [backup-simplify]: Simplify (- 1) into -1 0.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.618 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 0.618 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 0.619 * [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))) 0.620 * [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))) 0.621 * [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))) 0.621 * [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 0.621 * [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 0.621 * [taylor]: Taking taylor expansion of +nan.0 in n 0.621 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.621 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.621 * [taylor]: Taking taylor expansion of 0.5 in n 0.621 * [backup-simplify]: Simplify 0.5 into 0.5 0.621 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.621 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [backup-simplify]: Simplify 1.0 into 1.0 0.621 * [taylor]: Taking taylor expansion of (log PI) in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.621 * [backup-simplify]: Simplify PI into PI 0.621 * [backup-simplify]: Simplify (log PI) into (log PI) 0.622 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.623 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.623 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [backup-simplify]: Simplify 1.0 into 1.0 0.623 * [taylor]: Taking taylor expansion of (log n) in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (log 1) into 0 0.624 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.624 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.624 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.624 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.624 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.624 * [taylor]: Taking taylor expansion of 1.0 in n 0.624 * [backup-simplify]: Simplify 1.0 into 1.0 0.624 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.624 * [taylor]: Taking taylor expansion of 2.0 in n 0.624 * [backup-simplify]: Simplify 2.0 into 2.0 0.624 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.625 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.625 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.626 * [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) 0.627 * [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) 0.627 * [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)) 0.628 * [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))) 0.629 * [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) 0.630 * [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)) 0.631 * [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))) 0.632 * [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))) 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.634 * [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 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 0.636 * [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))) 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.640 * [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)))))))) 0.643 * [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)))))))) 0.643 * [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 0.643 * [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 0.643 * [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 0.644 * [taylor]: Taking taylor expansion of +nan.0 in n 0.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.644 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.644 * [taylor]: Taking taylor expansion of 0.5 in n 0.644 * [backup-simplify]: Simplify 0.5 into 0.5 0.644 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.644 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.644 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.644 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.644 * [taylor]: Taking taylor expansion of 1.0 in n 0.644 * [backup-simplify]: Simplify 1.0 into 1.0 0.644 * [taylor]: Taking taylor expansion of (log PI) in n 0.644 * [taylor]: Taking taylor expansion of PI in n 0.644 * [backup-simplify]: Simplify PI into PI 0.644 * [backup-simplify]: Simplify (log PI) into (log PI) 0.645 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.645 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.645 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.645 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.646 * [taylor]: Taking taylor expansion of 1.0 in n 0.646 * [backup-simplify]: Simplify 1.0 into 1.0 0.646 * [taylor]: Taking taylor expansion of (log n) in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (log 1) into 0 0.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.646 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.646 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.646 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.646 * [taylor]: Taking taylor expansion of 1.0 in n 0.646 * [backup-simplify]: Simplify 1.0 into 1.0 0.646 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.646 * [taylor]: Taking taylor expansion of 2.0 in n 0.646 * [backup-simplify]: Simplify 2.0 into 2.0 0.647 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.647 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.648 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.648 * [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) 0.649 * [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) 0.650 * [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)) 0.651 * [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))) 0.651 * [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) 0.651 * [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 0.651 * [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 0.652 * [taylor]: Taking taylor expansion of +nan.0 in n 0.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.652 * [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 0.652 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.652 * [taylor]: Taking taylor expansion of 0.5 in n 0.652 * [backup-simplify]: Simplify 0.5 into 0.5 0.652 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.652 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.652 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.652 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [backup-simplify]: Simplify 1.0 into 1.0 0.652 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.652 * [taylor]: Taking taylor expansion of 2.0 in n 0.652 * [backup-simplify]: Simplify 2.0 into 2.0 0.652 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.653 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.653 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.653 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.653 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.654 * [taylor]: Taking taylor expansion of 1.0 in n 0.654 * [backup-simplify]: Simplify 1.0 into 1.0 0.654 * [taylor]: Taking taylor expansion of (log PI) in n 0.654 * [taylor]: Taking taylor expansion of PI in n 0.654 * [backup-simplify]: Simplify PI into PI 0.654 * [backup-simplify]: Simplify (log PI) into (log PI) 0.654 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.655 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.655 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.655 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [backup-simplify]: Simplify 1.0 into 1.0 0.655 * [taylor]: Taking taylor expansion of (log n) in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (log 1) into 0 0.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.656 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.656 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.656 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.657 * [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) 0.658 * [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)) 0.662 * [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))) 0.663 * [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) 0.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.663 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.663 * [taylor]: Taking taylor expansion of 2.0 in n 0.663 * [backup-simplify]: Simplify 2.0 into 2.0 0.663 * [taylor]: Taking taylor expansion of (* n PI) in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of PI in n 0.664 * [backup-simplify]: Simplify PI into PI 0.664 * [backup-simplify]: Simplify (* 0 PI) into 0 0.664 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.665 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.666 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.666 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.667 * [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)) 0.668 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.670 * [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)) 0.671 * [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))) 0.673 * [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)))))) 0.676 * [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)))))))) 0.679 * [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)))))))) 0.683 * [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)))))))) 0.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 0.685 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 0.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.686 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.687 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 0.687 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 0.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 0.690 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 0.692 * [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 0.693 * [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 0.694 * [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 0.695 * [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 0.696 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.697 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 0.698 * [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 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 0.701 * [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))) 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.707 * [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)))))))) 0.713 * [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)))))))) 0.713 * [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 0.713 * [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 0.713 * [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 0.713 * [taylor]: Taking taylor expansion of +nan.0 in n 0.713 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.713 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.713 * [taylor]: Taking taylor expansion of 0.5 in n 0.713 * [backup-simplify]: Simplify 0.5 into 0.5 0.713 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.714 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.714 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.714 * [backup-simplify]: Simplify 1.0 into 1.0 0.714 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.714 * [taylor]: Taking taylor expansion of 2.0 in n 0.714 * [backup-simplify]: Simplify 2.0 into 2.0 0.714 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.714 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.715 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.715 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.715 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.715 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [backup-simplify]: Simplify 1.0 into 1.0 0.715 * [taylor]: Taking taylor expansion of (log n) in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (log 1) into 0 0.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.716 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.716 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.716 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.716 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.716 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.716 * [taylor]: Taking taylor expansion of 1.0 in n 0.716 * [backup-simplify]: Simplify 1.0 into 1.0 0.716 * [taylor]: Taking taylor expansion of (log PI) in n 0.716 * [taylor]: Taking taylor expansion of PI in n 0.716 * [backup-simplify]: Simplify PI into PI 0.716 * [backup-simplify]: Simplify (log PI) into (log PI) 0.717 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.718 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.718 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.719 * [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) 0.720 * [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)) 0.721 * [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))) 0.722 * [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) 0.722 * [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 0.722 * [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 0.722 * [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 0.722 * [taylor]: Taking taylor expansion of +nan.0 in n 0.722 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.722 * [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 0.722 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [backup-simplify]: Simplify 0.5 into 0.5 0.722 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.722 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.722 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.722 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.722 * [taylor]: Taking taylor expansion of 1.0 in n 0.722 * [backup-simplify]: Simplify 1.0 into 1.0 0.722 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.722 * [taylor]: Taking taylor expansion of 2.0 in n 0.722 * [backup-simplify]: Simplify 2.0 into 2.0 0.722 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.723 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.724 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.724 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.724 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.724 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.724 * [taylor]: Taking taylor expansion of 1.0 in n 0.724 * [backup-simplify]: Simplify 1.0 into 1.0 0.724 * [taylor]: Taking taylor expansion of (log PI) in n 0.724 * [taylor]: Taking taylor expansion of PI in n 0.724 * [backup-simplify]: Simplify PI into PI 0.724 * [backup-simplify]: Simplify (log PI) into (log PI) 0.725 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.726 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.726 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.726 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.726 * [taylor]: Taking taylor expansion of 1.0 in n 0.726 * [backup-simplify]: Simplify 1.0 into 1.0 0.726 * [taylor]: Taking taylor expansion of (log n) in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (log 1) into 0 0.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.726 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.727 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.727 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.728 * [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) 0.728 * [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)) 0.729 * [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))) 0.730 * [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) 0.730 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.730 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.730 * [taylor]: Taking taylor expansion of 2.0 in n 0.730 * [backup-simplify]: Simplify 2.0 into 2.0 0.730 * [taylor]: Taking taylor expansion of (* n PI) in n 0.730 * [taylor]: Taking taylor expansion of n in n 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [taylor]: Taking taylor expansion of PI in n 0.730 * [backup-simplify]: Simplify PI into PI 0.731 * [backup-simplify]: Simplify (* 0 PI) into 0 0.731 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.732 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.733 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.733 * [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 0.733 * [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 0.733 * [taylor]: Taking taylor expansion of +nan.0 in n 0.733 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.733 * [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 0.733 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.733 * [taylor]: Taking taylor expansion of 0.5 in n 0.733 * [backup-simplify]: Simplify 0.5 into 0.5 0.733 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.733 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.733 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.733 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.733 * [taylor]: Taking taylor expansion of 1.0 in n 0.733 * [backup-simplify]: Simplify 1.0 into 1.0 0.733 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.733 * [taylor]: Taking taylor expansion of 2.0 in n 0.733 * [backup-simplify]: Simplify 2.0 into 2.0 0.734 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.734 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.735 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.735 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.735 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.735 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.735 * [taylor]: Taking taylor expansion of 1.0 in n 0.735 * [backup-simplify]: Simplify 1.0 into 1.0 0.735 * [taylor]: Taking taylor expansion of (log PI) in n 0.735 * [taylor]: Taking taylor expansion of PI in n 0.735 * [backup-simplify]: Simplify PI into PI 0.735 * [backup-simplify]: Simplify (log PI) into (log PI) 0.736 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.737 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.737 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.737 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.737 * [taylor]: Taking taylor expansion of 1.0 in n 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.737 * [taylor]: Taking taylor expansion of (log n) in n 0.737 * [taylor]: Taking taylor expansion of n in n 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (log 1) into 0 0.737 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.738 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.738 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.738 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.739 * [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) 0.740 * [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)) 0.740 * [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))) 0.741 * [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) 0.741 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.741 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.741 * [taylor]: Taking taylor expansion of 2.0 in n 0.741 * [backup-simplify]: Simplify 2.0 into 2.0 0.741 * [taylor]: Taking taylor expansion of (* n PI) in n 0.741 * [taylor]: Taking taylor expansion of n in n 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of PI in n 0.741 * [backup-simplify]: Simplify PI into PI 0.742 * [backup-simplify]: Simplify (* 0 PI) into 0 0.742 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.744 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.744 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.745 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.746 * [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)) 0.747 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.749 * [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)) 0.750 * [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))) 0.751 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.752 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.753 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 0.754 * [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)) 0.759 * [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))) 0.761 * [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)))))))) 0.767 * [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)))))))))))) 0.775 * [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)))))))))))) 0.784 * [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)))))))))))))) 0.793 * [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)))))))))))))) 0.802 * [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)))))))))))))) 0.817 * [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)))))))))))))))))))))) 0.817 * [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)))))) 0.817 * [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 0.817 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.817 * [taylor]: Taking taylor expansion of 1.0 in n 0.817 * [backup-simplify]: Simplify 1.0 into 1.0 0.818 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.818 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.818 * [taylor]: Taking taylor expansion of k in n 0.818 * [backup-simplify]: Simplify k into k 0.818 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.818 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.818 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.818 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.818 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.818 * [taylor]: Taking taylor expansion of 0.5 in n 0.818 * [backup-simplify]: Simplify 0.5 into 0.5 0.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.818 * [taylor]: Taking taylor expansion of 1.0 in n 0.818 * [backup-simplify]: Simplify 1.0 into 1.0 0.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.818 * [taylor]: Taking taylor expansion of k in n 0.818 * [backup-simplify]: Simplify k into k 0.818 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.818 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.818 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.818 * [taylor]: Taking taylor expansion of 2.0 in n 0.818 * [backup-simplify]: Simplify 2.0 into 2.0 0.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.818 * [taylor]: Taking taylor expansion of PI in n 0.818 * [backup-simplify]: Simplify PI into PI 0.818 * [taylor]: Taking taylor expansion of n in n 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ PI 1) into PI 0.819 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.819 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.819 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.819 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.819 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.821 * [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)))) 0.822 * [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))))) 0.822 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.822 * [taylor]: Taking taylor expansion of 1.0 in k 0.822 * [backup-simplify]: Simplify 1.0 into 1.0 0.822 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.822 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.822 * [taylor]: Taking taylor expansion of k in k 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (sqrt 0) into 0 0.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.823 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.823 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.823 * [taylor]: Taking taylor expansion of 0.5 in k 0.823 * [backup-simplify]: Simplify 0.5 into 0.5 0.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.823 * [taylor]: Taking taylor expansion of 1.0 in k 0.823 * [backup-simplify]: Simplify 1.0 into 1.0 0.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.823 * [taylor]: Taking taylor expansion of k in k 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.824 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.824 * [taylor]: Taking taylor expansion of 2.0 in k 0.824 * [backup-simplify]: Simplify 2.0 into 2.0 0.824 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.824 * [taylor]: Taking taylor expansion of PI in k 0.824 * [backup-simplify]: Simplify PI into PI 0.824 * [taylor]: Taking taylor expansion of n in k 0.824 * [backup-simplify]: Simplify n into n 0.824 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.824 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.824 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.824 * [backup-simplify]: Simplify (- 1) into -1 0.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.825 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.825 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.825 * [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))))) 0.825 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.825 * [taylor]: Taking taylor expansion of 1.0 in k 0.825 * [backup-simplify]: Simplify 1.0 into 1.0 0.825 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.825 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.825 * [taylor]: Taking taylor expansion of k in k 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (sqrt 0) into 0 0.826 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.826 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.826 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.826 * [taylor]: Taking taylor expansion of 0.5 in k 0.826 * [backup-simplify]: Simplify 0.5 into 0.5 0.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.826 * [taylor]: Taking taylor expansion of 1.0 in k 0.826 * [backup-simplify]: Simplify 1.0 into 1.0 0.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.826 * [taylor]: Taking taylor expansion of k in k 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.827 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.827 * [taylor]: Taking taylor expansion of 2.0 in k 0.827 * [backup-simplify]: Simplify 2.0 into 2.0 0.827 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.827 * [taylor]: Taking taylor expansion of PI in k 0.827 * [backup-simplify]: Simplify PI into PI 0.827 * [taylor]: Taking taylor expansion of n in k 0.827 * [backup-simplify]: Simplify n into n 0.827 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.827 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.827 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.827 * [backup-simplify]: Simplify (- 1) into -1 0.827 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.828 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.828 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.828 * [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))))) 0.828 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 0.828 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.828 * [taylor]: Taking taylor expansion of 0 in n 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.829 * [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))))))) 0.829 * [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))))))) 0.829 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.829 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.829 * [taylor]: Taking taylor expansion of +nan.0 in n 0.829 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.829 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.829 * [taylor]: Taking taylor expansion of 0.5 in n 0.829 * [backup-simplify]: Simplify 0.5 into 0.5 0.829 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.829 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.829 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.829 * [taylor]: Taking taylor expansion of 2.0 in n 0.829 * [backup-simplify]: Simplify 2.0 into 2.0 0.830 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.830 * [taylor]: Taking taylor expansion of PI in n 0.830 * [backup-simplify]: Simplify PI into PI 0.830 * [taylor]: Taking taylor expansion of n in n 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (/ PI 1) into PI 0.830 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.831 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.831 * [taylor]: Taking taylor expansion of 1.0 in n 0.831 * [backup-simplify]: Simplify 1.0 into 1.0 0.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.831 * [taylor]: Taking taylor expansion of k in n 0.831 * [backup-simplify]: Simplify k into k 0.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.832 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.832 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.833 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.833 * [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)))) 0.834 * [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))))) 0.835 * [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)))))) 0.835 * [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))))))) 0.836 * [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))))))) 0.836 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.839 * [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))))))) 0.839 * [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))))))) 0.839 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.839 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.839 * [taylor]: Taking taylor expansion of +nan.0 in n 0.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.839 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.839 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.839 * [taylor]: Taking taylor expansion of 0.5 in n 0.839 * [backup-simplify]: Simplify 0.5 into 0.5 0.839 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.839 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.839 * [taylor]: Taking taylor expansion of 2.0 in n 0.839 * [backup-simplify]: Simplify 2.0 into 2.0 0.839 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.839 * [taylor]: Taking taylor expansion of PI in n 0.839 * [backup-simplify]: Simplify PI into PI 0.839 * [taylor]: Taking taylor expansion of n in n 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (/ PI 1) into PI 0.840 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.841 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.841 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.841 * [taylor]: Taking taylor expansion of 1.0 in n 0.841 * [backup-simplify]: Simplify 1.0 into 1.0 0.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.841 * [taylor]: Taking taylor expansion of k in n 0.841 * [backup-simplify]: Simplify k into k 0.841 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.842 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.842 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.842 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.843 * [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)))) 0.844 * [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))))) 0.845 * [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)))))) 0.848 * [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))))))) 0.849 * [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))))))) 0.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.851 * [backup-simplify]: Simplify (- 0) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.853 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 0.855 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.860 * [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))))))) 0.860 * [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))))))) 0.860 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.860 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.860 * [taylor]: Taking taylor expansion of +nan.0 in n 0.860 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.860 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.861 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.861 * [taylor]: Taking taylor expansion of 0.5 in n 0.861 * [backup-simplify]: Simplify 0.5 into 0.5 0.861 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.861 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.861 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.861 * [taylor]: Taking taylor expansion of 2.0 in n 0.861 * [backup-simplify]: Simplify 2.0 into 2.0 0.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.861 * [taylor]: Taking taylor expansion of PI in n 0.861 * [backup-simplify]: Simplify PI into PI 0.861 * [taylor]: Taking taylor expansion of n in n 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (/ PI 1) into PI 0.861 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.862 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.862 * [taylor]: Taking taylor expansion of 1.0 in n 0.862 * [backup-simplify]: Simplify 1.0 into 1.0 0.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.862 * [taylor]: Taking taylor expansion of k in n 0.862 * [backup-simplify]: Simplify k into k 0.862 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.863 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.863 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.864 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.864 * [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)))) 0.865 * [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))))) 0.866 * [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)))))) 0.866 * [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))))))) 0.867 * [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))))))) 0.870 * [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)))))))) 0.870 * [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)))) 0.871 * [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 0.871 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.871 * [taylor]: Taking taylor expansion of 1.0 in n 0.871 * [backup-simplify]: Simplify 1.0 into 1.0 0.871 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.871 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.871 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.871 * [taylor]: Taking taylor expansion of 0.5 in n 0.871 * [backup-simplify]: Simplify 0.5 into 0.5 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.871 * [taylor]: Taking taylor expansion of k in n 0.871 * [backup-simplify]: Simplify k into k 0.871 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.871 * [taylor]: Taking taylor expansion of 1.0 in n 0.871 * [backup-simplify]: Simplify 1.0 into 1.0 0.871 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.871 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.871 * [taylor]: Taking taylor expansion of -2.0 in n 0.871 * [backup-simplify]: Simplify -2.0 into -2.0 0.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.871 * [backup-simplify]: Simplify PI into PI 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (/ PI 1) into PI 0.872 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.872 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.872 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.872 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.874 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.875 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.875 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.875 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.875 * [taylor]: Taking taylor expansion of -1 in n 0.875 * [backup-simplify]: Simplify -1 into -1 0.875 * [taylor]: Taking taylor expansion of k in n 0.875 * [backup-simplify]: Simplify k into k 0.875 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 0.875 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 0.875 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 0.876 * [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))) 0.876 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.876 * [taylor]: Taking taylor expansion of 1.0 in k 0.876 * [backup-simplify]: Simplify 1.0 into 1.0 0.876 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.876 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.876 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.876 * [taylor]: Taking taylor expansion of 0.5 in k 0.876 * [backup-simplify]: Simplify 0.5 into 0.5 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.876 * [taylor]: Taking taylor expansion of k in k 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [taylor]: Taking taylor expansion of 1.0 in k 0.876 * [backup-simplify]: Simplify 1.0 into 1.0 0.876 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.876 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.876 * [taylor]: Taking taylor expansion of -2.0 in k 0.876 * [backup-simplify]: Simplify -2.0 into -2.0 0.876 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.876 * [taylor]: Taking taylor expansion of PI in k 0.876 * [backup-simplify]: Simplify PI into PI 0.876 * [taylor]: Taking taylor expansion of n in k 0.876 * [backup-simplify]: Simplify n into n 0.876 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.876 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.876 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.877 * [backup-simplify]: Simplify (+ 1 0) into 1 0.877 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.877 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.877 * [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)))))) 0.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.877 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.877 * [taylor]: Taking taylor expansion of -1 in k 0.877 * [backup-simplify]: Simplify -1 into -1 0.877 * [taylor]: Taking taylor expansion of k in k 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ -1 1) into -1 0.878 * [backup-simplify]: Simplify (sqrt 0) into 0 0.878 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.879 * [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))))))) 0.879 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.879 * [taylor]: Taking taylor expansion of 1.0 in k 0.879 * [backup-simplify]: Simplify 1.0 into 1.0 0.879 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.879 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.879 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.879 * [taylor]: Taking taylor expansion of 0.5 in k 0.879 * [backup-simplify]: Simplify 0.5 into 0.5 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.879 * [taylor]: Taking taylor expansion of k in k 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [taylor]: Taking taylor expansion of 1.0 in k 0.879 * [backup-simplify]: Simplify 1.0 into 1.0 0.879 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.879 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.879 * [taylor]: Taking taylor expansion of -2.0 in k 0.879 * [backup-simplify]: Simplify -2.0 into -2.0 0.879 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.879 * [taylor]: Taking taylor expansion of PI in k 0.879 * [backup-simplify]: Simplify PI into PI 0.879 * [taylor]: Taking taylor expansion of n in k 0.879 * [backup-simplify]: Simplify n into n 0.879 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.879 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.879 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.880 * [backup-simplify]: Simplify (+ 1 0) into 1 0.880 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.880 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.880 * [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)))))) 0.880 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.880 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.880 * [taylor]: Taking taylor expansion of -1 in k 0.880 * [backup-simplify]: Simplify -1 into -1 0.880 * [taylor]: Taking taylor expansion of k in k 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ -1 1) into -1 0.881 * [backup-simplify]: Simplify (sqrt 0) into 0 0.881 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.882 * [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))))))) 0.882 * [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))))))) 0.882 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.882 * [taylor]: Taking taylor expansion of +nan.0 in n 0.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.882 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.882 * [taylor]: Taking taylor expansion of 0.5 in n 0.882 * [backup-simplify]: Simplify 0.5 into 0.5 0.882 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.882 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.882 * [taylor]: Taking taylor expansion of k in n 0.882 * [backup-simplify]: Simplify k into k 0.882 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.882 * [taylor]: Taking taylor expansion of 1.0 in n 0.882 * [backup-simplify]: Simplify 1.0 into 1.0 0.882 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.882 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.882 * [taylor]: Taking taylor expansion of -2.0 in n 0.882 * [backup-simplify]: Simplify -2.0 into -2.0 0.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.882 * [taylor]: Taking taylor expansion of PI in n 0.882 * [backup-simplify]: Simplify PI into PI 0.882 * [taylor]: Taking taylor expansion of n in n 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ PI 1) into PI 0.883 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.883 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.884 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.885 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.886 * [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)))) 0.886 * [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))))) 0.887 * [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)))))) 0.888 * [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)))))) 0.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.891 * [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)))))))) 0.891 * [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)))))))) 0.891 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.891 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.891 * [taylor]: Taking taylor expansion of +nan.0 in n 0.891 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.891 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.891 * [taylor]: Taking taylor expansion of 0.5 in n 0.891 * [backup-simplify]: Simplify 0.5 into 0.5 0.891 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.891 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.891 * [taylor]: Taking taylor expansion of k in n 0.891 * [backup-simplify]: Simplify k into k 0.891 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.891 * [taylor]: Taking taylor expansion of 1.0 in n 0.891 * [backup-simplify]: Simplify 1.0 into 1.0 0.891 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.891 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.891 * [taylor]: Taking taylor expansion of -2.0 in n 0.891 * [backup-simplify]: Simplify -2.0 into -2.0 0.891 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.891 * [taylor]: Taking taylor expansion of PI in n 0.891 * [backup-simplify]: Simplify PI into PI 0.891 * [taylor]: Taking taylor expansion of n in n 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (/ PI 1) into PI 0.892 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.893 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.893 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.894 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.895 * [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)))) 0.896 * [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))))) 0.896 * [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)))))) 0.897 * [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))))))) 0.898 * [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))))))) 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.902 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 0.904 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.908 * [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)))))))) 0.909 * [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)))))))) 0.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.909 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.909 * [taylor]: Taking taylor expansion of +nan.0 in n 0.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.909 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.909 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.909 * [taylor]: Taking taylor expansion of 0.5 in n 0.909 * [backup-simplify]: Simplify 0.5 into 0.5 0.909 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.909 * [taylor]: Taking taylor expansion of k in n 0.909 * [backup-simplify]: Simplify k into k 0.909 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.909 * [taylor]: Taking taylor expansion of 1.0 in n 0.909 * [backup-simplify]: Simplify 1.0 into 1.0 0.909 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.909 * [taylor]: Taking taylor expansion of -2.0 in n 0.909 * [backup-simplify]: Simplify -2.0 into -2.0 0.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.909 * [taylor]: Taking taylor expansion of PI in n 0.909 * [backup-simplify]: Simplify PI into PI 0.909 * [taylor]: Taking taylor expansion of n in n 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ PI 1) into PI 0.910 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.910 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.911 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.912 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.913 * [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)))) 0.913 * [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))))) 0.914 * [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)))))) 0.915 * [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))))))) 0.916 * [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))))))) 0.918 * [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)))))))))))) 0.918 * * * [progress]: simplifying candidates 0.921 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) 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(/ (- 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)) (- (+ (* 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h2)) (/ (sqrt h1) h2) (expm1 (* (* h0 h4) h3)) (log1p (* (* h0 h4) h3)) (* (* h0 h4) h3) (* (* h0 h4) h3) (+ (+ (log h0) (log h4)) (log h3)) (+ (log (* h0 h4)) (log h3)) (log (* (* h0 h4) h3)) (exp (* (* h0 h4) h3)) (* (* (* (* h0 h0) h0) (* (* h4 h4) h4)) (* (* h3 h3) h3)) (* (* (* (* h0 h4) (* h0 h4)) (* h0 h4)) (* (* h3 h3) h3)) (* (cbrt (* (* h0 h4) h3)) (cbrt (* (* h0 h4) h3))) (cbrt (* (* h0 h4) h3)) (* (* (* (* h0 h4) h3) (* (* h0 h4) h3)) (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (* (* h0 h4) (* (cbrt h3) (cbrt h3))) (* (* h0 h4) (sqrt h3)) (* (* h0 h4) 1) (* h4 h3) (expm1 (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (log1p (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (+ (- (log h2) (log (sqrt h1))) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (+ (log (/ h2 (sqrt h1))) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (log (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (exp (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* h2 (pow (* (* h0 h4) h3) (/ h2 h0))) (* (sqrt h1) (pow (* (* h0 h4) h3) (/ h1 h0))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (* (/ h2 (sqrt h1)) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) 1) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (cbrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ 1 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ h2 h0))) (* h2 (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (- (+ (* h7 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h7 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2)))) (+ (* h6 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h5 (* h1 (* (log (* h0 h4)) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (* h5 (* h1 (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3)))))) (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (- (+ (* h9 h1) (- (+ (* h9 (pow h1 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- h9))))) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (- (+ (* h9 (* (* (pow h1 2) (pow (log (* h0 h4)) 2)) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (log (* h0 h4))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (log (* h0 h4)) (log h3))) (pow (* (pow h4 h2) (* (pow h0 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* h1 (log (* h0 h4))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (pow (log h3) 2)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* h1 (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)) (- (+ (* h9 (* (pow h1 2) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (* h9 (* h1 (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)))))))))))))))))))))) (- (+ (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (pow h1 3))) (- (+ (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) h1)) (- (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (pow h1 2)))))))) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) h1)) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (pow h1 2))) (- (* h9 (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))))))))) 0.931 * * [simplify]: iteration 0 : 981 enodes (cost 1502 ) 0.947 * * [simplify]: iteration 1 : 4021 enodes (cost 1398 ) 1.010 * * [simplify]: iteration 2 : 5003 enodes (cost 1383 ) 1.016 * * * [progress]: adding candidates to table 1.477 * * [progress]: iteration 2 / 4 1.477 * * * [progress]: picking best candidate 1.512 * * * * [pick]: Picked # 1.512 * * * [progress]: localizing error 1.528 * * * [progress]: generating rewritten candidates 1.529 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.602 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.608 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.633 * * * [progress]: generating series expansions 1.633 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.633 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.633 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.634 * [taylor]: Taking taylor expansion of 0.5 in k 1.634 * [backup-simplify]: Simplify 0.5 into 0.5 1.634 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.634 * [taylor]: Taking taylor expansion of 1.0 in k 1.634 * [backup-simplify]: Simplify 1.0 into 1.0 1.634 * [taylor]: Taking taylor expansion of k in k 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.634 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.634 * [taylor]: Taking taylor expansion of 2.0 in k 1.634 * [backup-simplify]: Simplify 2.0 into 2.0 1.634 * [taylor]: Taking taylor expansion of (* n PI) in k 1.634 * [taylor]: Taking taylor expansion of n in k 1.634 * [backup-simplify]: Simplify n into n 1.634 * [taylor]: Taking taylor expansion of PI in k 1.634 * [backup-simplify]: Simplify PI into PI 1.634 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.634 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.634 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.634 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.635 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.635 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.635 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.635 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.635 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.635 * [taylor]: Taking taylor expansion of 0.5 in n 1.635 * [backup-simplify]: Simplify 0.5 into 0.5 1.635 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.635 * [taylor]: Taking taylor expansion of 1.0 in n 1.635 * [backup-simplify]: Simplify 1.0 into 1.0 1.635 * [taylor]: Taking taylor expansion of k in n 1.635 * [backup-simplify]: Simplify k into k 1.635 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.635 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.635 * [taylor]: Taking taylor expansion of 2.0 in n 1.635 * [backup-simplify]: Simplify 2.0 into 2.0 1.635 * [taylor]: Taking taylor expansion of (* n PI) in n 1.635 * [taylor]: Taking taylor expansion of n in n 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [taylor]: Taking taylor expansion of PI in n 1.635 * [backup-simplify]: Simplify PI into PI 1.636 * [backup-simplify]: Simplify (* 0 PI) into 0 1.636 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.638 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.638 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.639 * [backup-simplify]: Simplify (- k) into (- k) 1.639 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.639 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.640 * [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)))) 1.641 * [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))))) 1.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.641 * [taylor]: Taking taylor expansion of 0.5 in n 1.641 * [backup-simplify]: Simplify 0.5 into 0.5 1.641 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [backup-simplify]: Simplify 1.0 into 1.0 1.641 * [taylor]: Taking taylor expansion of k in n 1.641 * [backup-simplify]: Simplify k into k 1.641 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.641 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.641 * [backup-simplify]: Simplify 2.0 into 2.0 1.641 * [taylor]: Taking taylor expansion of (* n PI) in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [taylor]: Taking taylor expansion of PI in n 1.641 * [backup-simplify]: Simplify PI into PI 1.641 * [backup-simplify]: Simplify (* 0 PI) into 0 1.642 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.643 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.644 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.644 * [backup-simplify]: Simplify (- k) into (- k) 1.644 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.644 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.646 * [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)))) 1.646 * [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))))) 1.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.646 * [taylor]: Taking taylor expansion of 0.5 in k 1.646 * [backup-simplify]: Simplify 0.5 into 0.5 1.646 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.646 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.646 * [taylor]: Taking taylor expansion of 1.0 in k 1.646 * [backup-simplify]: Simplify 1.0 into 1.0 1.646 * [taylor]: Taking taylor expansion of k in k 1.646 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.647 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.647 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.647 * [taylor]: Taking taylor expansion of 2.0 in k 1.647 * [backup-simplify]: Simplify 2.0 into 2.0 1.647 * [taylor]: Taking taylor expansion of PI in k 1.647 * [backup-simplify]: Simplify PI into PI 1.647 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.648 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.648 * [taylor]: Taking taylor expansion of (log n) in k 1.648 * [taylor]: Taking taylor expansion of n in k 1.648 * [backup-simplify]: Simplify n into n 1.648 * [backup-simplify]: Simplify (log n) into (log n) 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.648 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.649 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.649 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.650 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.651 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.651 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.654 * [backup-simplify]: Simplify (- 0) into 0 1.654 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.655 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.656 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.657 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.657 * [taylor]: Taking taylor expansion of 0 in k 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (- 1) into -1 1.659 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.660 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.662 * [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)))) 1.663 * [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)))))) 1.665 * [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)))))) 1.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.668 * [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 1.668 * [backup-simplify]: Simplify (- 0) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.671 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.672 * [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 1.672 * [taylor]: Taking taylor expansion of 0 in k 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.675 * [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 1.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.677 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.681 * [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)))))) 1.685 * [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)))))) 1.691 * [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)))))) 1.691 * [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)))) 1.691 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.691 * [taylor]: Taking taylor expansion of 0.5 in k 1.691 * [backup-simplify]: Simplify 0.5 into 0.5 1.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.691 * [taylor]: Taking taylor expansion of 1.0 in k 1.691 * [backup-simplify]: Simplify 1.0 into 1.0 1.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.691 * [taylor]: Taking taylor expansion of k in k 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.692 * [taylor]: Taking taylor expansion of 2.0 in k 1.692 * [backup-simplify]: Simplify 2.0 into 2.0 1.692 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.692 * [taylor]: Taking taylor expansion of PI in k 1.692 * [backup-simplify]: Simplify PI into PI 1.692 * [taylor]: Taking taylor expansion of n in k 1.692 * [backup-simplify]: Simplify n into n 1.692 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.692 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.692 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.692 * [backup-simplify]: Simplify (- 1) into -1 1.692 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.693 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.693 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.693 * [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))))) 1.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.693 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.693 * [taylor]: Taking taylor expansion of 0.5 in n 1.693 * [backup-simplify]: Simplify 0.5 into 0.5 1.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.693 * [taylor]: Taking taylor expansion of 1.0 in n 1.693 * [backup-simplify]: Simplify 1.0 into 1.0 1.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.693 * [taylor]: Taking taylor expansion of k in n 1.693 * [backup-simplify]: Simplify k into k 1.693 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.693 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.693 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.693 * [taylor]: Taking taylor expansion of 2.0 in n 1.693 * [backup-simplify]: Simplify 2.0 into 2.0 1.693 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.693 * [taylor]: Taking taylor expansion of PI in n 1.693 * [backup-simplify]: Simplify PI into PI 1.693 * [taylor]: Taking taylor expansion of n in n 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ PI 1) into PI 1.694 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.695 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.695 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.695 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.695 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.696 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.697 * [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)))) 1.697 * [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))))) 1.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.697 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.697 * [taylor]: Taking taylor expansion of 0.5 in n 1.697 * [backup-simplify]: Simplify 0.5 into 0.5 1.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.697 * [taylor]: Taking taylor expansion of 1.0 in n 1.697 * [backup-simplify]: Simplify 1.0 into 1.0 1.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.697 * [taylor]: Taking taylor expansion of k in n 1.697 * [backup-simplify]: Simplify k into k 1.698 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.698 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.698 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.698 * [taylor]: Taking taylor expansion of 2.0 in n 1.698 * [backup-simplify]: Simplify 2.0 into 2.0 1.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.698 * [taylor]: Taking taylor expansion of PI in n 1.698 * [backup-simplify]: Simplify PI into PI 1.698 * [taylor]: Taking taylor expansion of n in n 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (/ PI 1) into PI 1.698 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.699 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.699 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.699 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.699 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.701 * [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)))) 1.701 * [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))))) 1.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.701 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.701 * [taylor]: Taking taylor expansion of 0.5 in k 1.701 * [backup-simplify]: Simplify 0.5 into 0.5 1.701 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.701 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.701 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.701 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.701 * [taylor]: Taking taylor expansion of 2.0 in k 1.701 * [backup-simplify]: Simplify 2.0 into 2.0 1.701 * [taylor]: Taking taylor expansion of PI in k 1.702 * [backup-simplify]: Simplify PI into PI 1.702 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.702 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.702 * [taylor]: Taking taylor expansion of (log n) in k 1.702 * [taylor]: Taking taylor expansion of n in k 1.702 * [backup-simplify]: Simplify n into n 1.702 * [backup-simplify]: Simplify (log n) into (log n) 1.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.703 * [taylor]: Taking taylor expansion of 1.0 in k 1.703 * [backup-simplify]: Simplify 1.0 into 1.0 1.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.703 * [taylor]: Taking taylor expansion of k in k 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.703 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.704 * [backup-simplify]: Simplify (- 1) into -1 1.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.705 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.705 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.706 * [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))))) 1.707 * [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))))) 1.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.711 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.712 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.712 * [taylor]: Taking taylor expansion of 0 in k 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.715 * [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 1.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.717 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.719 * [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 1.719 * [taylor]: Taking taylor expansion of 0 in k 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.728 * [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 1.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.732 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.733 * [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 1.733 * [taylor]: Taking taylor expansion of 0 in k 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [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)))) 1.735 * [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))) 1.735 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.735 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.735 * [taylor]: Taking taylor expansion of 0.5 in k 1.735 * [backup-simplify]: Simplify 0.5 into 0.5 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.735 * [taylor]: Taking taylor expansion of k in k 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [taylor]: Taking taylor expansion of 1.0 in k 1.735 * [backup-simplify]: Simplify 1.0 into 1.0 1.735 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.735 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.735 * [taylor]: Taking taylor expansion of -2.0 in k 1.735 * [backup-simplify]: Simplify -2.0 into -2.0 1.735 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.735 * [taylor]: Taking taylor expansion of PI in k 1.735 * [backup-simplify]: Simplify PI into PI 1.735 * [taylor]: Taking taylor expansion of n in k 1.735 * [backup-simplify]: Simplify n into n 1.735 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.735 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.735 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.736 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.736 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.736 * [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)))))) 1.736 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.736 * [taylor]: Taking taylor expansion of 0.5 in n 1.736 * [backup-simplify]: Simplify 0.5 into 0.5 1.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.736 * [taylor]: Taking taylor expansion of k in n 1.736 * [backup-simplify]: Simplify k into k 1.736 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.736 * [taylor]: Taking taylor expansion of 1.0 in n 1.736 * [backup-simplify]: Simplify 1.0 into 1.0 1.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.736 * [taylor]: Taking taylor expansion of -2.0 in n 1.736 * [backup-simplify]: Simplify -2.0 into -2.0 1.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.736 * [taylor]: Taking taylor expansion of PI in n 1.736 * [backup-simplify]: Simplify PI into PI 1.736 * [taylor]: Taking taylor expansion of n in n 1.736 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ PI 1) into PI 1.737 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.738 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.738 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.738 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.739 * [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)))) 1.740 * [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))))) 1.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.740 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.740 * [taylor]: Taking taylor expansion of 0.5 in n 1.740 * [backup-simplify]: Simplify 0.5 into 0.5 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.740 * [taylor]: Taking taylor expansion of k in n 1.740 * [backup-simplify]: Simplify k into k 1.740 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.740 * [taylor]: Taking taylor expansion of 1.0 in n 1.740 * [backup-simplify]: Simplify 1.0 into 1.0 1.740 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.740 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.740 * [taylor]: Taking taylor expansion of -2.0 in n 1.740 * [backup-simplify]: Simplify -2.0 into -2.0 1.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.740 * [backup-simplify]: Simplify PI into PI 1.740 * [taylor]: Taking taylor expansion of n in n 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ PI 1) into PI 1.741 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.742 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.742 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.742 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.743 * [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)))) 1.744 * [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))))) 1.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.744 * [taylor]: Taking taylor expansion of 0.5 in k 1.744 * [backup-simplify]: Simplify 0.5 into 0.5 1.744 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.744 * [backup-simplify]: Simplify 1.0 into 1.0 1.744 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.744 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.744 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.745 * [taylor]: Taking taylor expansion of -2.0 in k 1.745 * [backup-simplify]: Simplify -2.0 into -2.0 1.745 * [taylor]: Taking taylor expansion of PI in k 1.745 * [backup-simplify]: Simplify PI into PI 1.745 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.745 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.745 * [taylor]: Taking taylor expansion of (log n) in k 1.745 * [taylor]: Taking taylor expansion of n in k 1.745 * [backup-simplify]: Simplify n into n 1.746 * [backup-simplify]: Simplify (log n) into (log n) 1.746 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.746 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.747 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.748 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.748 * [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))))) 1.749 * [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))))) 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.753 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.754 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.754 * [taylor]: Taking taylor expansion of 0 in k 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.757 * [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 1.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.760 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.761 * [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 1.761 * [taylor]: Taking taylor expansion of 0 in k 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.765 * [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 1.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.768 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.770 * [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 1.770 * [taylor]: Taking taylor expansion of 0 in k 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [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)))))) 1.771 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.771 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) 1.771 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 1.771 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.771 * [taylor]: Taking taylor expansion of k in k 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (sqrt 0) into 0 1.772 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.772 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.772 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.772 * [taylor]: Taking taylor expansion of 1.0 in k 1.772 * [backup-simplify]: Simplify 1.0 into 1.0 1.773 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.773 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.773 * [taylor]: Taking taylor expansion of k in k 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (sqrt 0) into 0 1.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.774 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.774 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.774 * [taylor]: Taking taylor expansion of 1.0 in k 1.774 * [backup-simplify]: Simplify 1.0 into 1.0 1.775 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.776 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.776 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.780 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.781 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.787 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.788 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.796 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.800 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow k 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) k) (- (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (* k (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow k 2) (pow (sqrt 1.0) 2)))))))) 1.800 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (/ 1.0 (sqrt (/ 1 k))))) into (* (sqrt k) (pow (sqrt 1.0) 2)) 1.800 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 1.800 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.800 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.800 * [taylor]: Taking taylor expansion of k in k 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (sqrt 0) into 0 1.801 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.801 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.801 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.801 * [taylor]: Taking taylor expansion of 1.0 in k 1.801 * [backup-simplify]: Simplify 1.0 into 1.0 1.802 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.802 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.802 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.802 * [taylor]: Taking taylor expansion of k in k 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (sqrt 0) into 0 1.803 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.803 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.803 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.803 * [taylor]: Taking taylor expansion of 1.0 in k 1.803 * [backup-simplify]: Simplify 1.0 into 1.0 1.803 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.805 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.805 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.808 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.810 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 1.811 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.822 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.823 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 1.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.830 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.835 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 1.835 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (/ 1.0 (sqrt (/ 1 (- k)))))) into (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) 1.835 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 1.835 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.835 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.835 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.835 * [taylor]: Taking taylor expansion of 1.0 in k 1.835 * [backup-simplify]: Simplify 1.0 into 1.0 1.835 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.836 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.836 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.836 * [taylor]: Taking taylor expansion of -1 in k 1.836 * [backup-simplify]: Simplify -1 into -1 1.836 * [taylor]: Taking taylor expansion of k in k 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ -1 1) into -1 1.836 * [backup-simplify]: Simplify (sqrt 0) into 0 1.837 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.838 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.839 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 1.839 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.839 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.839 * [taylor]: Taking taylor expansion of 1.0 in k 1.839 * [backup-simplify]: Simplify 1.0 into 1.0 1.839 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.840 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.840 * [taylor]: Taking taylor expansion of -1 in k 1.840 * [backup-simplify]: Simplify -1 into -1 1.840 * [taylor]: Taking taylor expansion of k in k 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (/ -1 1) into -1 1.840 * [backup-simplify]: Simplify (sqrt 0) into 0 1.841 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.841 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.842 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 1.843 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 1.844 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.849 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.850 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.852 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.860 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.861 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.865 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- k))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 1.866 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.866 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.866 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.866 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [backup-simplify]: Simplify 1.0 into 1.0 1.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (/ 1 1) into 1 1.866 * [backup-simplify]: Simplify (sqrt 0) into 0 1.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.867 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.867 * [taylor]: Taking taylor expansion of 1.0 in k 1.867 * [backup-simplify]: Simplify 1.0 into 1.0 1.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (sqrt 0) into 0 1.868 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.869 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.870 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.873 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.873 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.877 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.877 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.878 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.878 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.878 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.878 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.878 * [taylor]: Taking taylor expansion of 1.0 in k 1.878 * [backup-simplify]: Simplify 1.0 into 1.0 1.878 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.878 * [taylor]: Taking taylor expansion of k in k 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (sqrt 0) into 0 1.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.879 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.879 * [taylor]: Taking taylor expansion of 1.0 in k 1.879 * [backup-simplify]: Simplify 1.0 into 1.0 1.879 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.879 * [taylor]: Taking taylor expansion of k in k 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (sqrt 0) into 0 1.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.880 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.881 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.883 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.884 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.884 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.888 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.888 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.889 * [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)))))))) 1.889 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.889 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.889 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.889 * [taylor]: Taking taylor expansion of 1.0 in k 1.889 * [backup-simplify]: Simplify 1.0 into 1.0 1.889 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.889 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.889 * [taylor]: Taking taylor expansion of -1 in k 1.889 * [backup-simplify]: Simplify -1 into -1 1.889 * [taylor]: Taking taylor expansion of k in k 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (/ -1 1) into -1 1.890 * [backup-simplify]: Simplify (sqrt 0) into 0 1.891 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.891 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.891 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.891 * [taylor]: Taking taylor expansion of 1.0 in k 1.891 * [backup-simplify]: Simplify 1.0 into 1.0 1.891 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.891 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.891 * [taylor]: Taking taylor expansion of -1 in k 1.891 * [backup-simplify]: Simplify -1 into -1 1.891 * [taylor]: Taking taylor expansion of k in k 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (/ -1 1) into -1 1.892 * [backup-simplify]: Simplify (sqrt 0) into 0 1.892 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.893 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.896 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.896 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.901 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.902 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.902 * [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))))) 1.902 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.902 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.902 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.903 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.903 * [taylor]: Taking taylor expansion of 1.0 in k 1.903 * [backup-simplify]: Simplify 1.0 into 1.0 1.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.903 * [taylor]: Taking taylor expansion of k in k 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (/ 1 1) into 1 1.903 * [backup-simplify]: Simplify (sqrt 0) into 0 1.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.904 * [backup-simplify]: Simplify 1.0 into 1.0 1.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.904 * [taylor]: Taking taylor expansion of k in k 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [backup-simplify]: Simplify (sqrt 0) into 0 1.911 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.912 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.913 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.916 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.916 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.920 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.920 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.921 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.921 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.921 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.921 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.921 * [taylor]: Taking taylor expansion of 1.0 in k 1.921 * [backup-simplify]: Simplify 1.0 into 1.0 1.922 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.922 * [taylor]: Taking taylor expansion of k in k 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (sqrt 0) into 0 1.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.923 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.923 * [taylor]: Taking taylor expansion of 1.0 in k 1.923 * [backup-simplify]: Simplify 1.0 into 1.0 1.923 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.923 * [taylor]: Taking taylor expansion of k in k 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (sqrt 0) into 0 1.924 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.924 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.925 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.927 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.928 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.928 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.931 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.931 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.932 * [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)))))))) 1.932 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.932 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.933 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.933 * [taylor]: Taking taylor expansion of 1.0 in k 1.933 * [backup-simplify]: Simplify 1.0 into 1.0 1.933 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.933 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.933 * [taylor]: Taking taylor expansion of -1 in k 1.933 * [backup-simplify]: Simplify -1 into -1 1.933 * [taylor]: Taking taylor expansion of k in k 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ -1 1) into -1 1.933 * [backup-simplify]: Simplify (sqrt 0) into 0 1.934 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.934 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.934 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.934 * [taylor]: Taking taylor expansion of 1.0 in k 1.934 * [backup-simplify]: Simplify 1.0 into 1.0 1.934 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.934 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.934 * [taylor]: Taking taylor expansion of -1 in k 1.934 * [backup-simplify]: Simplify -1 into -1 1.934 * [taylor]: Taking taylor expansion of k in k 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ -1 1) into -1 1.935 * [backup-simplify]: Simplify (sqrt 0) into 0 1.936 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.936 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.940 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.940 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.945 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.946 * [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))))) 1.946 * * * [progress]: simplifying candidates 1.950 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (log1p (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (+ 1 1) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (/ 1.0 (sqrt k))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (* (cbrt (/ 1.0 (sqrt k))) 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(sqrt (/ h2 (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt h2)) (* (sqrt h2) (sqrt (/ h2 (sqrt h1)))) (expm1 (/ h2 (sqrt h1))) (log1p (/ h2 (sqrt h1))) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (expm1 (/ h2 (sqrt h1))) (log1p (/ h2 (sqrt h1))) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (- (+ (* h7 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h7 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2)))) (+ (* h6 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h5 (* h1 (* (log (* h0 h4)) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (* h5 (* h1 (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3)))))) (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (- (+ (* h9 (pow (sqrt h2) 2)) (- (+ (* h9 (* h1 (pow (sqrt h2) 2))) (- (* h9 (* (pow h1 2) (pow (sqrt h2) 2)))))))) (- (+ (* h9 (/ (pow (sqrt h2) 2) (pow h1 3))) (- (+ (* h9 (/ (pow (sqrt h2) 2) (pow h1 2))) (- (* h9 (/ (pow (sqrt h2) 2) h1))))))) (- (+ (* h9 (/ (pow (sqrt h2) 2) (pow h1 2))) (- (+ (* h9 (pow (sqrt h2) 2)) (- (* h9 (/ (pow (sqrt h2) 2) h1))))))) (- (+ (* h9 h1) (- (+ (* h9 (pow h1 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- h9))))) (- (+ (* h9 h1) (- (+ (* h9 (pow h1 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- h9))))) 1.961 * * [simplify]: iteration 0 : 769 enodes (cost 1839 ) 1.975 * * [simplify]: iteration 1 : 3492 enodes (cost 1677 ) 2.036 * * [simplify]: iteration 2 : 5001 enodes (cost 1651 ) 2.044 * * * [progress]: adding candidates to table 2.774 * * [progress]: iteration 3 / 4 2.774 * * * [progress]: picking best candidate 2.805 * * * * [pick]: Picked # 2.805 * * * [progress]: localizing error 2.824 * * * [progress]: generating rewritten candidates 2.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.845 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.863 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.907 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.915 * * * [progress]: generating series expansions 2.915 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.916 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.916 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.916 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.916 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.916 * [taylor]: Taking taylor expansion of 0.5 in k 2.916 * [backup-simplify]: Simplify 0.5 into 0.5 2.916 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.916 * [taylor]: Taking taylor expansion of 1.0 in k 2.916 * [backup-simplify]: Simplify 1.0 into 1.0 2.917 * [taylor]: Taking taylor expansion of k in k 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.917 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.917 * [taylor]: Taking taylor expansion of 2.0 in k 2.917 * [backup-simplify]: Simplify 2.0 into 2.0 2.917 * [taylor]: Taking taylor expansion of (* n PI) in k 2.917 * [taylor]: Taking taylor expansion of n in k 2.917 * [backup-simplify]: Simplify n into n 2.917 * [taylor]: Taking taylor expansion of PI in k 2.917 * [backup-simplify]: Simplify PI into PI 2.917 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.917 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.917 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.917 * [backup-simplify]: Simplify (- 0) into 0 2.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.918 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.918 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.918 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.918 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.918 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.918 * [taylor]: Taking taylor expansion of 0.5 in n 2.918 * [backup-simplify]: Simplify 0.5 into 0.5 2.918 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.918 * [taylor]: Taking taylor expansion of 1.0 in n 2.918 * [backup-simplify]: Simplify 1.0 into 1.0 2.918 * [taylor]: Taking taylor expansion of k in n 2.918 * [backup-simplify]: Simplify k into k 2.918 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.918 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.918 * [taylor]: Taking taylor expansion of 2.0 in n 2.918 * [backup-simplify]: Simplify 2.0 into 2.0 2.918 * [taylor]: Taking taylor expansion of (* n PI) in n 2.918 * [taylor]: Taking taylor expansion of n in n 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of PI in n 2.918 * [backup-simplify]: Simplify PI into PI 2.919 * [backup-simplify]: Simplify (* 0 PI) into 0 2.919 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.921 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.921 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.921 * [backup-simplify]: Simplify (- k) into (- k) 2.921 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.921 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.923 * [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)))) 2.924 * [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))))) 2.924 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.924 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.924 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.924 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.924 * [taylor]: Taking taylor expansion of 0.5 in n 2.924 * [backup-simplify]: Simplify 0.5 into 0.5 2.924 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.924 * [taylor]: Taking taylor expansion of 1.0 in n 2.924 * [backup-simplify]: Simplify 1.0 into 1.0 2.924 * [taylor]: Taking taylor expansion of k in n 2.924 * [backup-simplify]: Simplify k into k 2.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.924 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.924 * [taylor]: Taking taylor expansion of 2.0 in n 2.924 * [backup-simplify]: Simplify 2.0 into 2.0 2.924 * [taylor]: Taking taylor expansion of (* n PI) in n 2.924 * [taylor]: Taking taylor expansion of n in n 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of PI in n 2.924 * [backup-simplify]: Simplify PI into PI 2.924 * [backup-simplify]: Simplify (* 0 PI) into 0 2.924 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.926 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.927 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.927 * [backup-simplify]: Simplify (- k) into (- k) 2.927 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.927 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.928 * [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)))) 2.929 * [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))))) 2.929 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.929 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.929 * [taylor]: Taking taylor expansion of 0.5 in k 2.929 * [backup-simplify]: Simplify 0.5 into 0.5 2.929 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.929 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.929 * [taylor]: Taking taylor expansion of 1.0 in k 2.929 * [backup-simplify]: Simplify 1.0 into 1.0 2.929 * [taylor]: Taking taylor expansion of k in k 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.929 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.929 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.929 * [taylor]: Taking taylor expansion of 2.0 in k 2.929 * [backup-simplify]: Simplify 2.0 into 2.0 2.929 * [taylor]: Taking taylor expansion of PI in k 2.929 * [backup-simplify]: Simplify PI into PI 2.930 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.930 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.930 * [taylor]: Taking taylor expansion of (log n) in k 2.930 * [taylor]: Taking taylor expansion of n in k 2.930 * [backup-simplify]: Simplify n into n 2.930 * [backup-simplify]: Simplify (log n) into (log n) 2.931 * [backup-simplify]: Simplify (- 0) into 0 2.931 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.931 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.932 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.933 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.933 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.934 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.936 * [backup-simplify]: Simplify (- 0) into 0 2.937 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.938 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.938 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.939 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.939 * [taylor]: Taking taylor expansion of 0 in k 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (- 1) into -1 2.942 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.943 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.944 * [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)))) 2.946 * [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)))))) 2.948 * [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)))))) 2.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.949 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.951 * [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 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.954 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.955 * [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 2.955 * [taylor]: Taking taylor expansion of 0 in k 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.962 * [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 2.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.966 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.968 * [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)))))) 2.971 * [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)))))) 2.977 * [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)))))) 2.977 * [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)))) 2.977 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.977 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.977 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.977 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.977 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.978 * [taylor]: Taking taylor expansion of 0.5 in k 2.978 * [backup-simplify]: Simplify 0.5 into 0.5 2.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.978 * [taylor]: Taking taylor expansion of 1.0 in k 2.978 * [backup-simplify]: Simplify 1.0 into 1.0 2.978 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.978 * [taylor]: Taking taylor expansion of k in k 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.978 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.978 * [taylor]: Taking taylor expansion of 2.0 in k 2.978 * [backup-simplify]: Simplify 2.0 into 2.0 2.978 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.978 * [taylor]: Taking taylor expansion of PI in k 2.978 * [backup-simplify]: Simplify PI into PI 2.978 * [taylor]: Taking taylor expansion of n in k 2.978 * [backup-simplify]: Simplify n into n 2.978 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.978 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.978 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.978 * [backup-simplify]: Simplify (- 1) into -1 2.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.979 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.979 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.979 * [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))))) 2.979 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.979 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.979 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.979 * [taylor]: Taking taylor expansion of 0.5 in n 2.979 * [backup-simplify]: Simplify 0.5 into 0.5 2.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.979 * [taylor]: Taking taylor expansion of 1.0 in n 2.979 * [backup-simplify]: Simplify 1.0 into 1.0 2.979 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.979 * [taylor]: Taking taylor expansion of k in n 2.979 * [backup-simplify]: Simplify k into k 2.979 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.979 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.979 * [taylor]: Taking taylor expansion of 2.0 in n 2.979 * [backup-simplify]: Simplify 2.0 into 2.0 2.979 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.979 * [taylor]: Taking taylor expansion of PI in n 2.979 * [backup-simplify]: Simplify PI into PI 2.979 * [taylor]: Taking taylor expansion of n in n 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ PI 1) into PI 2.980 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.981 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.981 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.981 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.981 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.982 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.982 * [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)))) 2.983 * [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))))) 2.983 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.983 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.983 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.983 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.983 * [taylor]: Taking taylor expansion of 0.5 in n 2.983 * [backup-simplify]: Simplify 0.5 into 0.5 2.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.983 * [taylor]: Taking taylor expansion of 1.0 in n 2.983 * [backup-simplify]: Simplify 1.0 into 1.0 2.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.983 * [taylor]: Taking taylor expansion of k in n 2.983 * [backup-simplify]: Simplify k into k 2.983 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.983 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.983 * [taylor]: Taking taylor expansion of 2.0 in n 2.983 * [backup-simplify]: Simplify 2.0 into 2.0 2.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.983 * [taylor]: Taking taylor expansion of PI in n 2.983 * [backup-simplify]: Simplify PI into PI 2.983 * [taylor]: Taking taylor expansion of n in n 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (/ PI 1) into PI 2.984 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.985 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.985 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.985 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.985 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.986 * [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)))) 2.987 * [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))))) 2.987 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.987 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.987 * [taylor]: Taking taylor expansion of 0.5 in k 2.987 * [backup-simplify]: Simplify 0.5 into 0.5 2.987 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.987 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.987 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.987 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.987 * [taylor]: Taking taylor expansion of 2.0 in k 2.987 * [backup-simplify]: Simplify 2.0 into 2.0 2.987 * [taylor]: Taking taylor expansion of PI in k 2.987 * [backup-simplify]: Simplify PI into PI 2.988 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.988 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.988 * [taylor]: Taking taylor expansion of (log n) in k 2.988 * [taylor]: Taking taylor expansion of n in k 2.988 * [backup-simplify]: Simplify n into n 2.988 * [backup-simplify]: Simplify (log n) into (log n) 2.988 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.988 * [taylor]: Taking taylor expansion of 1.0 in k 2.988 * [backup-simplify]: Simplify 1.0 into 1.0 2.988 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.988 * [taylor]: Taking taylor expansion of k in k 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.989 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.989 * [backup-simplify]: Simplify (- 1) into -1 2.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.990 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.991 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.992 * [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))))) 2.992 * [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))))) 2.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.994 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 2.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.996 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.996 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.998 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.998 * [taylor]: Taking taylor expansion of 0 in k 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.000 * [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 3.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.001 * [backup-simplify]: Simplify (- 0) into 0 3.001 * [backup-simplify]: Simplify (+ 0 0) into 0 3.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.003 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.003 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.005 * [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 3.005 * [taylor]: Taking taylor expansion of 0 in k 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.009 * [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 3.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.010 * [backup-simplify]: Simplify (+ 0 0) into 0 3.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.012 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.014 * [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 3.014 * [taylor]: Taking taylor expansion of 0 in k 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.015 * [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)))) 3.015 * [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))) 3.015 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.015 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.015 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.015 * [taylor]: Taking taylor expansion of 0.5 in k 3.015 * [backup-simplify]: Simplify 0.5 into 0.5 3.015 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.015 * [taylor]: Taking taylor expansion of k in k 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.016 * [taylor]: Taking taylor expansion of 1.0 in k 3.016 * [backup-simplify]: Simplify 1.0 into 1.0 3.016 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.016 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.016 * [taylor]: Taking taylor expansion of -2.0 in k 3.016 * [backup-simplify]: Simplify -2.0 into -2.0 3.016 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.016 * [taylor]: Taking taylor expansion of PI in k 3.016 * [backup-simplify]: Simplify PI into PI 3.016 * [taylor]: Taking taylor expansion of n in k 3.016 * [backup-simplify]: Simplify n into n 3.016 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.016 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.016 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.016 * [backup-simplify]: Simplify (+ 1 0) into 1 3.016 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.017 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.017 * [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)))))) 3.017 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.017 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.017 * [taylor]: Taking taylor expansion of 0.5 in n 3.017 * [backup-simplify]: Simplify 0.5 into 0.5 3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.017 * [taylor]: Taking taylor expansion of k in n 3.017 * [backup-simplify]: Simplify k into k 3.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.017 * [taylor]: Taking taylor expansion of 1.0 in n 3.017 * [backup-simplify]: Simplify 1.0 into 1.0 3.017 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.017 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.017 * [taylor]: Taking taylor expansion of -2.0 in n 3.017 * [backup-simplify]: Simplify -2.0 into -2.0 3.017 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.017 * [taylor]: Taking taylor expansion of PI in n 3.017 * [backup-simplify]: Simplify PI into PI 3.017 * [taylor]: Taking taylor expansion of n in n 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (/ PI 1) into PI 3.018 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.018 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.018 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.018 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.019 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.020 * [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)))) 3.021 * [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))))) 3.021 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.021 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.021 * [taylor]: Taking taylor expansion of 0.5 in n 3.021 * [backup-simplify]: Simplify 0.5 into 0.5 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.021 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.021 * [taylor]: Taking taylor expansion of k in n 3.021 * [backup-simplify]: Simplify k into k 3.021 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.021 * [taylor]: Taking taylor expansion of 1.0 in n 3.021 * [backup-simplify]: Simplify 1.0 into 1.0 3.021 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.021 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.021 * [taylor]: Taking taylor expansion of -2.0 in n 3.021 * [backup-simplify]: Simplify -2.0 into -2.0 3.021 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.021 * [taylor]: Taking taylor expansion of PI in n 3.021 * [backup-simplify]: Simplify PI into PI 3.021 * [taylor]: Taking taylor expansion of n in n 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (/ PI 1) into PI 3.022 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.022 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.022 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.022 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.024 * [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)))) 3.024 * [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))))) 3.025 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.025 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.025 * [taylor]: Taking taylor expansion of 0.5 in k 3.025 * [backup-simplify]: Simplify 0.5 into 0.5 3.025 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.025 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.025 * [taylor]: Taking taylor expansion of k in k 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.025 * [taylor]: Taking taylor expansion of 1.0 in k 3.025 * [backup-simplify]: Simplify 1.0 into 1.0 3.025 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.025 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.025 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.025 * [taylor]: Taking taylor expansion of -2.0 in k 3.025 * [backup-simplify]: Simplify -2.0 into -2.0 3.025 * [taylor]: Taking taylor expansion of PI in k 3.025 * [backup-simplify]: Simplify PI into PI 3.025 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.026 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.026 * [taylor]: Taking taylor expansion of (log n) in k 3.026 * [taylor]: Taking taylor expansion of n in k 3.026 * [backup-simplify]: Simplify n into n 3.026 * [backup-simplify]: Simplify (log n) into (log n) 3.026 * [backup-simplify]: Simplify (+ 1 0) into 1 3.026 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.027 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.028 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 3.028 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.029 * [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))))) 3.030 * [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))))) 3.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.032 * [backup-simplify]: Simplify (+ 0 0) into 0 3.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.034 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.035 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.035 * [taylor]: Taking taylor expansion of 0 in k 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.038 * [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 3.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.039 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.040 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.041 * [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 3.042 * [taylor]: Taking taylor expansion of 0 in k 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.045 * [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 3.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.055 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.056 * [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 3.056 * [taylor]: Taking taylor expansion of 0 in k 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [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)))))) 3.057 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.058 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.058 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.058 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.058 * [taylor]: Taking taylor expansion of 2.0 in n 3.058 * [backup-simplify]: Simplify 2.0 into 2.0 3.058 * [taylor]: Taking taylor expansion of (* n PI) in n 3.058 * [taylor]: Taking taylor expansion of n in n 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [taylor]: Taking taylor expansion of PI in n 3.058 * [backup-simplify]: Simplify PI into PI 3.058 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.058 * [taylor]: Taking taylor expansion of 2.0 in n 3.058 * [backup-simplify]: Simplify 2.0 into 2.0 3.058 * [taylor]: Taking taylor expansion of (* n PI) in n 3.058 * [taylor]: Taking taylor expansion of n in n 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [taylor]: Taking taylor expansion of PI in n 3.058 * [backup-simplify]: Simplify PI into PI 3.058 * [backup-simplify]: Simplify (* 0 PI) into 0 3.059 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.060 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.061 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.063 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.064 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.066 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.070 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.070 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 3.070 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.070 * [taylor]: Taking taylor expansion of 2.0 in n 3.070 * [backup-simplify]: Simplify 2.0 into 2.0 3.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.070 * [taylor]: Taking taylor expansion of PI in n 3.070 * [backup-simplify]: Simplify PI into PI 3.070 * [taylor]: Taking taylor expansion of n in n 3.070 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (/ PI 1) into PI 3.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.071 * [taylor]: Taking taylor expansion of 2.0 in n 3.071 * [backup-simplify]: Simplify 2.0 into 2.0 3.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.071 * [taylor]: Taking taylor expansion of PI in n 3.071 * [backup-simplify]: Simplify PI into PI 3.071 * [taylor]: Taking taylor expansion of n in n 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (/ PI 1) into PI 3.072 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.072 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.079 * [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 3.079 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 3.080 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 3.080 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.080 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.080 * [taylor]: Taking taylor expansion of -2.0 in n 3.080 * [backup-simplify]: Simplify -2.0 into -2.0 3.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.080 * [taylor]: Taking taylor expansion of PI in n 3.080 * [backup-simplify]: Simplify PI into PI 3.080 * [taylor]: Taking taylor expansion of n in n 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ PI 1) into PI 3.081 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.081 * [taylor]: Taking taylor expansion of -2.0 in n 3.081 * [backup-simplify]: Simplify -2.0 into -2.0 3.081 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.081 * [taylor]: Taking taylor expansion of PI in n 3.081 * [backup-simplify]: Simplify PI into PI 3.081 * [taylor]: Taking taylor expansion of n in n 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ PI 1) into PI 3.081 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.082 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [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 3.089 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 3.090 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.090 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) 3.090 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in (k n) around 0 3.090 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in n 3.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.090 * [taylor]: Taking taylor expansion of k in n 3.090 * [backup-simplify]: Simplify k into k 3.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.091 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 3.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 3.091 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0)) in n 3.091 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.091 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.091 * [taylor]: Taking taylor expansion of 0.5 in n 3.091 * [backup-simplify]: Simplify 0.5 into 0.5 3.091 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.091 * [taylor]: Taking taylor expansion of 1.0 in n 3.091 * [backup-simplify]: Simplify 1.0 into 1.0 3.091 * [taylor]: Taking taylor expansion of k in n 3.091 * [backup-simplify]: Simplify k into k 3.091 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.091 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.091 * [taylor]: Taking taylor expansion of 2.0 in n 3.091 * [backup-simplify]: Simplify 2.0 into 2.0 3.091 * [taylor]: Taking taylor expansion of (* n PI) in n 3.091 * [taylor]: Taking taylor expansion of n in n 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [taylor]: Taking taylor expansion of PI in n 3.091 * [backup-simplify]: Simplify PI into PI 3.091 * [backup-simplify]: Simplify (* 0 PI) into 0 3.092 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.093 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.094 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.094 * [backup-simplify]: Simplify (- k) into (- k) 3.094 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.094 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.095 * [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)))) 3.096 * [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))))) 3.096 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.096 * [taylor]: Taking taylor expansion of 1.0 in n 3.096 * [backup-simplify]: Simplify 1.0 into 1.0 3.096 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.097 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in k 3.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.097 * [taylor]: Taking taylor expansion of k in k 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [backup-simplify]: Simplify (sqrt 0) into 0 3.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.098 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0)) in k 3.098 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.098 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.098 * [taylor]: Taking taylor expansion of 0.5 in k 3.098 * [backup-simplify]: Simplify 0.5 into 0.5 3.098 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.098 * [taylor]: Taking taylor expansion of 1.0 in k 3.098 * [backup-simplify]: Simplify 1.0 into 1.0 3.098 * [taylor]: Taking taylor expansion of k in k 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.098 * [taylor]: Taking taylor expansion of 2.0 in k 3.098 * [backup-simplify]: Simplify 2.0 into 2.0 3.099 * [taylor]: Taking taylor expansion of (* n PI) in k 3.099 * [taylor]: Taking taylor expansion of n in k 3.099 * [backup-simplify]: Simplify n into n 3.099 * [taylor]: Taking taylor expansion of PI in k 3.099 * [backup-simplify]: Simplify PI into PI 3.099 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.099 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.099 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.099 * [backup-simplify]: Simplify (- 0) into 0 3.099 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.099 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.099 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.100 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.100 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.100 * [taylor]: Taking taylor expansion of 1.0 in k 3.100 * [backup-simplify]: Simplify 1.0 into 1.0 3.100 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.100 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in k 3.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.100 * [taylor]: Taking taylor expansion of k in k 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [backup-simplify]: Simplify (sqrt 0) into 0 3.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.102 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0)) in k 3.102 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.102 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.102 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.102 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.102 * [taylor]: Taking taylor expansion of 0.5 in k 3.102 * [backup-simplify]: Simplify 0.5 into 0.5 3.102 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.102 * [taylor]: Taking taylor expansion of 1.0 in k 3.102 * [backup-simplify]: Simplify 1.0 into 1.0 3.102 * [taylor]: Taking taylor expansion of k in k 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.102 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.102 * [taylor]: Taking taylor expansion of 2.0 in k 3.102 * [backup-simplify]: Simplify 2.0 into 2.0 3.102 * [taylor]: Taking taylor expansion of (* n PI) in k 3.102 * [taylor]: Taking taylor expansion of n in k 3.102 * [backup-simplify]: Simplify n into n 3.102 * [taylor]: Taking taylor expansion of PI in k 3.102 * [backup-simplify]: Simplify PI into PI 3.102 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.102 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.102 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.102 * [backup-simplify]: Simplify (- 0) into 0 3.102 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.103 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.103 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.103 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.103 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.103 * [taylor]: Taking taylor expansion of 1.0 in k 3.103 * [backup-simplify]: Simplify 1.0 into 1.0 3.103 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.104 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) (sqrt 1.0)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)) 3.105 * [backup-simplify]: Simplify (* 0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) into 0 3.105 * [taylor]: Taking taylor expansion of 0 in n 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 3.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 3.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 3.106 * [backup-simplify]: Simplify (- 1) into -1 3.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.107 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 3.108 * [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))) 3.110 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) 0) (* (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (sqrt 1.0))) into (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI))))))) 3.112 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI)))))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 3.112 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) in n 3.112 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 3.112 * [taylor]: Taking taylor expansion of +nan.0 in n 3.112 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.112 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 3.112 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.112 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.112 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.112 * [taylor]: Taking taylor expansion of 0.5 in n 3.112 * [backup-simplify]: Simplify 0.5 into 0.5 3.112 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.112 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.112 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.112 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.112 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.112 * [taylor]: Taking taylor expansion of 1.0 in n 3.112 * [backup-simplify]: Simplify 1.0 into 1.0 3.112 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.112 * [taylor]: Taking taylor expansion of 2.0 in n 3.112 * [backup-simplify]: Simplify 2.0 into 2.0 3.112 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.113 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.114 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.114 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.114 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.114 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.114 * [taylor]: Taking taylor expansion of 1.0 in n 3.114 * [backup-simplify]: Simplify 1.0 into 1.0 3.114 * [taylor]: Taking taylor expansion of (log n) in n 3.114 * [taylor]: Taking taylor expansion of n in n 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (log 1) into 0 3.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.115 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.115 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.115 * [taylor]: Taking taylor expansion of 1.0 in n 3.115 * [backup-simplify]: Simplify 1.0 into 1.0 3.115 * [taylor]: Taking taylor expansion of (log PI) in n 3.115 * [taylor]: Taking taylor expansion of PI in n 3.115 * [backup-simplify]: Simplify PI into PI 3.115 * [backup-simplify]: Simplify (log PI) into (log PI) 3.116 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.116 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.117 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.118 * [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) 3.118 * [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)) 3.119 * [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))) 3.120 * [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) 3.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.120 * [taylor]: Taking taylor expansion of 1.0 in n 3.120 * [backup-simplify]: Simplify 1.0 into 1.0 3.120 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.122 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 3.123 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 3.124 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 3.125 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) 3.125 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.126 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 3.128 * [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 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 3.130 * [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))) 3.132 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) 0) (+ (* (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 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))) (sqrt 1.0)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 2)))) 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.138 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI)))))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 3.138 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 3.138 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 3.138 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 3.138 * [taylor]: Taking taylor expansion of +nan.0 in n 3.138 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.138 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 3.138 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.138 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.138 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.138 * [taylor]: Taking taylor expansion of 0.5 in n 3.138 * [backup-simplify]: Simplify 0.5 into 0.5 3.138 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.138 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.138 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.138 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.138 * [taylor]: Taking taylor expansion of 1.0 in n 3.138 * [backup-simplify]: Simplify 1.0 into 1.0 3.138 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.138 * [taylor]: Taking taylor expansion of 2.0 in n 3.138 * [backup-simplify]: Simplify 2.0 into 2.0 3.138 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.139 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.140 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.140 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.140 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.140 * [taylor]: Taking taylor expansion of 1.0 in n 3.140 * [backup-simplify]: Simplify 1.0 into 1.0 3.140 * [taylor]: Taking taylor expansion of (log n) in n 3.140 * [taylor]: Taking taylor expansion of n in n 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (log 1) into 0 3.140 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.141 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.141 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.141 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.141 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.141 * [taylor]: Taking taylor expansion of 1.0 in n 3.141 * [backup-simplify]: Simplify 1.0 into 1.0 3.141 * [taylor]: Taking taylor expansion of (log PI) in n 3.141 * [taylor]: Taking taylor expansion of PI in n 3.141 * [backup-simplify]: Simplify PI into PI 3.141 * [backup-simplify]: Simplify (log PI) into (log PI) 3.142 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.143 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.143 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.144 * [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) 3.151 * [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)) 3.152 * [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))) 3.152 * [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) 3.153 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.153 * [taylor]: Taking taylor expansion of 1.0 in n 3.153 * [backup-simplify]: Simplify 1.0 into 1.0 3.153 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.153 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 3.153 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.153 * [taylor]: Taking taylor expansion of +nan.0 in n 3.153 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.153 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.153 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (sqrt 1.0)) in n 3.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.153 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.153 * [taylor]: Taking taylor expansion of 2.0 in n 3.153 * [backup-simplify]: Simplify 2.0 into 2.0 3.154 * [taylor]: Taking taylor expansion of (* n PI) in n 3.154 * [taylor]: Taking taylor expansion of n in n 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [taylor]: Taking taylor expansion of PI in n 3.154 * [backup-simplify]: Simplify PI into PI 3.154 * [backup-simplify]: Simplify (* 0 PI) into 0 3.154 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.155 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.156 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.156 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.156 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.157 * [taylor]: Taking taylor expansion of 1.0 in n 3.157 * [backup-simplify]: Simplify 1.0 into 1.0 3.157 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.157 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.157 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.157 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.157 * [taylor]: Taking taylor expansion of 0.5 in n 3.157 * [backup-simplify]: Simplify 0.5 into 0.5 3.157 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.157 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.157 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.157 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.157 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.157 * [taylor]: Taking taylor expansion of 1.0 in n 3.157 * [backup-simplify]: Simplify 1.0 into 1.0 3.157 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.157 * [taylor]: Taking taylor expansion of 2.0 in n 3.157 * [backup-simplify]: Simplify 2.0 into 2.0 3.158 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.158 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.159 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.159 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.159 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.159 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.159 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.159 * [taylor]: Taking taylor expansion of 1.0 in n 3.159 * [backup-simplify]: Simplify 1.0 into 1.0 3.159 * [taylor]: Taking taylor expansion of (log n) in n 3.159 * [taylor]: Taking taylor expansion of n in n 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (log 1) into 0 3.160 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.160 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.160 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.160 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.160 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.160 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.160 * [taylor]: Taking taylor expansion of 1.0 in n 3.160 * [backup-simplify]: Simplify 1.0 into 1.0 3.160 * [taylor]: Taking taylor expansion of (log PI) in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.160 * [backup-simplify]: Simplify PI into PI 3.160 * [backup-simplify]: Simplify (log PI) into (log PI) 3.161 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.162 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.162 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.163 * [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) 3.164 * [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)) 3.165 * [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))) 3.166 * [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) 3.167 * [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) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 3.168 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 3.169 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.169 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) into (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) 3.171 * [backup-simplify]: Simplify (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (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 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 3.173 * [backup-simplify]: Simplify (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (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)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.174 * [backup-simplify]: Simplify (- (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 3.179 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 3.184 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 3.189 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 3.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 3.190 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 3.191 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 3.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.192 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.192 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 3.193 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 3.193 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 3.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 3.195 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 3.195 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 3.196 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 3.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 3.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 3.200 * [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)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.201 * [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) 0) (* 0 (sqrt 1.0))) into 0 3.203 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into 0 3.203 * [backup-simplify]: Simplify (- 0) into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.204 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 3.206 * [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 3.207 * [backup-simplify]: Simplify (- 0) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 3.209 * [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))) 3.213 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) 0) (+ (* (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 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))) 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))) (sqrt 1.0))))) into (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 3))))) 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.221 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 3)))))) (+ (* +nan.0 (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI)))))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 3.221 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 3.221 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 3.221 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 3.221 * [taylor]: Taking taylor expansion of +nan.0 in n 3.221 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.221 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 3.221 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.221 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.221 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.221 * [taylor]: Taking taylor expansion of 0.5 in n 3.221 * [backup-simplify]: Simplify 0.5 into 0.5 3.221 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.221 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.221 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.221 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.221 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.221 * [taylor]: Taking taylor expansion of 1.0 in n 3.221 * [backup-simplify]: Simplify 1.0 into 1.0 3.221 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.221 * [taylor]: Taking taylor expansion of 2.0 in n 3.221 * [backup-simplify]: Simplify 2.0 into 2.0 3.222 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.222 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.223 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.223 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.223 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.223 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.223 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.223 * [taylor]: Taking taylor expansion of 1.0 in n 3.223 * [backup-simplify]: Simplify 1.0 into 1.0 3.223 * [taylor]: Taking taylor expansion of (log n) in n 3.223 * [taylor]: Taking taylor expansion of n in n 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (log 1) into 0 3.224 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.224 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.224 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.224 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.224 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.224 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.224 * [taylor]: Taking taylor expansion of 1.0 in n 3.224 * [backup-simplify]: Simplify 1.0 into 1.0 3.224 * [taylor]: Taking taylor expansion of (log PI) in n 3.224 * [taylor]: Taking taylor expansion of PI in n 3.224 * [backup-simplify]: Simplify PI into PI 3.224 * [backup-simplify]: Simplify (log PI) into (log PI) 3.225 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.226 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.226 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.227 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 3.227 * [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)) 3.228 * [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))) 3.229 * [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) 3.229 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.229 * [taylor]: Taking taylor expansion of 1.0 in n 3.229 * [backup-simplify]: Simplify 1.0 into 1.0 3.229 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.230 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 3.230 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 3.230 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.230 * [taylor]: Taking taylor expansion of +nan.0 in n 3.230 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.230 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.230 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) in n 3.230 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.230 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.230 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.230 * [taylor]: Taking taylor expansion of 2.0 in n 3.230 * [backup-simplify]: Simplify 2.0 into 2.0 3.230 * [taylor]: Taking taylor expansion of (* n PI) in n 3.230 * [taylor]: Taking taylor expansion of n in n 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [taylor]: Taking taylor expansion of PI in n 3.230 * [backup-simplify]: Simplify PI into PI 3.230 * [backup-simplify]: Simplify (* 0 PI) into 0 3.231 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.232 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.233 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.234 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.234 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.234 * [taylor]: Taking taylor expansion of 1.0 in n 3.234 * [backup-simplify]: Simplify 1.0 into 1.0 3.234 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.235 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.235 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.235 * [taylor]: Taking taylor expansion of 0.5 in n 3.235 * [backup-simplify]: Simplify 0.5 into 0.5 3.235 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.235 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.235 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.235 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.235 * [taylor]: Taking taylor expansion of 1.0 in n 3.235 * [backup-simplify]: Simplify 1.0 into 1.0 3.235 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.235 * [taylor]: Taking taylor expansion of 2.0 in n 3.235 * [backup-simplify]: Simplify 2.0 into 2.0 3.235 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.236 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.237 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.237 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.237 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.237 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [backup-simplify]: Simplify 1.0 into 1.0 3.237 * [taylor]: Taking taylor expansion of (log n) in n 3.237 * [taylor]: Taking taylor expansion of n in n 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (log 1) into 0 3.237 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.237 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.237 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.237 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.237 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [backup-simplify]: Simplify 1.0 into 1.0 3.237 * [taylor]: Taking taylor expansion of (log PI) in n 3.237 * [taylor]: Taking taylor expansion of PI in n 3.237 * [backup-simplify]: Simplify PI into PI 3.238 * [backup-simplify]: Simplify (log PI) into (log PI) 3.238 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.239 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.240 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.240 * [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) 3.241 * [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)) 3.242 * [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))) 3.243 * [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) 3.243 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 3.243 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.243 * [taylor]: Taking taylor expansion of +nan.0 in n 3.243 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.243 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.243 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (sqrt 1.0)) in n 3.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.243 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.243 * [taylor]: Taking taylor expansion of 2.0 in n 3.243 * [backup-simplify]: Simplify 2.0 into 2.0 3.243 * [taylor]: Taking taylor expansion of (* n PI) in n 3.243 * [taylor]: Taking taylor expansion of n in n 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [taylor]: Taking taylor expansion of PI in n 3.243 * [backup-simplify]: Simplify PI into PI 3.249 * [backup-simplify]: Simplify (* 0 PI) into 0 3.249 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.251 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.252 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.252 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.252 * [taylor]: Taking taylor expansion of 1.0 in n 3.252 * [backup-simplify]: Simplify 1.0 into 1.0 3.252 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.252 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.252 * [taylor]: Taking taylor expansion of 0.5 in n 3.252 * [backup-simplify]: Simplify 0.5 into 0.5 3.252 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.253 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.253 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.253 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.253 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.253 * [taylor]: Taking taylor expansion of 1.0 in n 3.253 * [backup-simplify]: Simplify 1.0 into 1.0 3.253 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.253 * [taylor]: Taking taylor expansion of 2.0 in n 3.253 * [backup-simplify]: Simplify 2.0 into 2.0 3.253 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.253 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.254 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.254 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.254 * [taylor]: Taking taylor expansion of 1.0 in n 3.254 * [backup-simplify]: Simplify 1.0 into 1.0 3.254 * [taylor]: Taking taylor expansion of (log n) in n 3.254 * [taylor]: Taking taylor expansion of n in n 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (log 1) into 0 3.255 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.255 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.255 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.255 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.255 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.255 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.255 * [taylor]: Taking taylor expansion of 1.0 in n 3.255 * [backup-simplify]: Simplify 1.0 into 1.0 3.255 * [taylor]: Taking taylor expansion of (log PI) in n 3.255 * [taylor]: Taking taylor expansion of PI in n 3.255 * [backup-simplify]: Simplify PI into PI 3.255 * [backup-simplify]: Simplify (log PI) into (log PI) 3.256 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.257 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.257 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.258 * [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) 3.259 * [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)) 3.260 * [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))) 3.261 * [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) 3.262 * [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) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 3.263 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 3.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.266 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.267 * [backup-simplify]: Simplify (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) 3.269 * [backup-simplify]: Simplify (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (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 (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 3.271 * [backup-simplify]: Simplify (* +nan.0 (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (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) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.271 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.272 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) into (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) 3.274 * [backup-simplify]: Simplify (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (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 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 3.276 * [backup-simplify]: Simplify (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (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)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.278 * [backup-simplify]: Simplify (- (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 3.283 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) 3.293 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (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) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) 3.305 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 3.318 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 3.330 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))))))))) 3.356 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) (* 1 k)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (sqrt 1.0) (* (pow k 2) (* (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 k 2) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (log n))) (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) (sqrt 1.0)))))))))))))))))))))) 3.357 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 3.357 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.357 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.357 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.357 * [taylor]: Taking taylor expansion of k in n 3.357 * [backup-simplify]: Simplify k into k 3.357 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.357 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.357 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.357 * [taylor]: Taking taylor expansion of 1.0 in n 3.357 * [backup-simplify]: Simplify 1.0 into 1.0 3.357 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.358 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.358 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.358 * [taylor]: Taking taylor expansion of 0.5 in n 3.358 * [backup-simplify]: Simplify 0.5 into 0.5 3.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.358 * [taylor]: Taking taylor expansion of 1.0 in n 3.358 * [backup-simplify]: Simplify 1.0 into 1.0 3.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.358 * [taylor]: Taking taylor expansion of k in n 3.358 * [backup-simplify]: Simplify k into k 3.358 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.358 * [taylor]: Taking taylor expansion of 2.0 in n 3.358 * [backup-simplify]: Simplify 2.0 into 2.0 3.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.358 * [taylor]: Taking taylor expansion of PI in n 3.358 * [backup-simplify]: Simplify PI into PI 3.358 * [taylor]: Taking taylor expansion of n in n 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (/ PI 1) into PI 3.359 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.359 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.360 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.360 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.360 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.361 * [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)))) 3.362 * [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))))) 3.362 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.362 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.362 * [taylor]: Taking taylor expansion of k in k 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (sqrt 0) into 0 3.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.363 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.363 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.363 * [taylor]: Taking taylor expansion of 1.0 in k 3.363 * [backup-simplify]: Simplify 1.0 into 1.0 3.364 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.364 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.364 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.364 * [taylor]: Taking taylor expansion of 0.5 in k 3.364 * [backup-simplify]: Simplify 0.5 into 0.5 3.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.364 * [taylor]: Taking taylor expansion of 1.0 in k 3.364 * [backup-simplify]: Simplify 1.0 into 1.0 3.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.364 * [taylor]: Taking taylor expansion of k in k 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.365 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.365 * [taylor]: Taking taylor expansion of 2.0 in k 3.365 * [backup-simplify]: Simplify 2.0 into 2.0 3.365 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.365 * [taylor]: Taking taylor expansion of PI in k 3.365 * [backup-simplify]: Simplify PI into PI 3.365 * [taylor]: Taking taylor expansion of n in k 3.365 * [backup-simplify]: Simplify n into n 3.365 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.365 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.365 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.365 * [backup-simplify]: Simplify (- 1) into -1 3.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.366 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.366 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.366 * [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))))) 3.366 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.366 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.366 * [taylor]: Taking taylor expansion of k in k 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (sqrt 0) into 0 3.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.367 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.367 * [taylor]: Taking taylor expansion of 1.0 in k 3.367 * [backup-simplify]: Simplify 1.0 into 1.0 3.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.368 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.368 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.368 * [taylor]: Taking taylor expansion of 0.5 in k 3.368 * [backup-simplify]: Simplify 0.5 into 0.5 3.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.368 * [taylor]: Taking taylor expansion of 1.0 in k 3.368 * [backup-simplify]: Simplify 1.0 into 1.0 3.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.368 * [taylor]: Taking taylor expansion of k in k 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.368 * [taylor]: Taking taylor expansion of 2.0 in k 3.368 * [backup-simplify]: Simplify 2.0 into 2.0 3.368 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.368 * [taylor]: Taking taylor expansion of PI in k 3.368 * [backup-simplify]: Simplify PI into PI 3.368 * [taylor]: Taking taylor expansion of n in k 3.368 * [backup-simplify]: Simplify n into n 3.368 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.368 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.368 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.369 * [backup-simplify]: Simplify (- 1) into -1 3.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.369 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.369 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.369 * [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))))) 3.370 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) 3.370 * [backup-simplify]: Simplify (* 0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0 3.370 * [taylor]: Taking taylor expansion of 0 in n 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0 3.371 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 3.371 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 3.372 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.372 * [taylor]: Taking taylor expansion of +nan.0 in n 3.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.372 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.372 * [taylor]: Taking taylor expansion of 1.0 in n 3.372 * [backup-simplify]: Simplify 1.0 into 1.0 3.372 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.372 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.372 * [taylor]: Taking taylor expansion of 0.5 in n 3.372 * [backup-simplify]: Simplify 0.5 into 0.5 3.372 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.372 * [taylor]: Taking taylor expansion of 2.0 in n 3.372 * [backup-simplify]: Simplify 2.0 into 2.0 3.372 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.372 * [taylor]: Taking taylor expansion of PI in n 3.373 * [backup-simplify]: Simplify PI into PI 3.373 * [taylor]: Taking taylor expansion of n in n 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (/ PI 1) into PI 3.373 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.374 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.374 * [taylor]: Taking taylor expansion of 1.0 in n 3.374 * [backup-simplify]: Simplify 1.0 into 1.0 3.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.374 * [taylor]: Taking taylor expansion of k in n 3.374 * [backup-simplify]: Simplify k into k 3.374 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.375 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.375 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.376 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.376 * [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)))) 3.377 * [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))))) 3.378 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.379 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.380 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.381 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.382 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into 0 3.384 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 3.385 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 3.385 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.385 * [taylor]: Taking taylor expansion of +nan.0 in n 3.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.385 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.385 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.385 * [taylor]: Taking taylor expansion of 1.0 in n 3.385 * [backup-simplify]: Simplify 1.0 into 1.0 3.385 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.386 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.386 * [taylor]: Taking taylor expansion of 0.5 in n 3.386 * [backup-simplify]: Simplify 0.5 into 0.5 3.386 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.386 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.386 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.386 * [taylor]: Taking taylor expansion of 2.0 in n 3.386 * [backup-simplify]: Simplify 2.0 into 2.0 3.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.386 * [taylor]: Taking taylor expansion of PI in n 3.386 * [backup-simplify]: Simplify PI into PI 3.386 * [taylor]: Taking taylor expansion of n in n 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [backup-simplify]: Simplify (/ PI 1) into PI 3.386 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.387 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.387 * [taylor]: Taking taylor expansion of 1.0 in n 3.387 * [backup-simplify]: Simplify 1.0 into 1.0 3.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.387 * [taylor]: Taking taylor expansion of k in n 3.387 * [backup-simplify]: Simplify k into k 3.387 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.388 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.388 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.388 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.389 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.389 * [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)))) 3.390 * [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))))) 3.391 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.392 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.393 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.394 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.395 * [backup-simplify]: Simplify (- 0) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.398 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 3.400 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.401 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 3.402 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.404 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0 3.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 3.407 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 3.407 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.407 * [taylor]: Taking taylor expansion of +nan.0 in n 3.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.407 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.407 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.407 * [taylor]: Taking taylor expansion of 1.0 in n 3.407 * [backup-simplify]: Simplify 1.0 into 1.0 3.408 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.408 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.408 * [taylor]: Taking taylor expansion of 0.5 in n 3.408 * [backup-simplify]: Simplify 0.5 into 0.5 3.408 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.408 * [taylor]: Taking taylor expansion of 2.0 in n 3.408 * [backup-simplify]: Simplify 2.0 into 2.0 3.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.408 * [taylor]: Taking taylor expansion of PI in n 3.408 * [backup-simplify]: Simplify PI into PI 3.408 * [taylor]: Taking taylor expansion of n in n 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ PI 1) into PI 3.409 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.410 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.410 * [taylor]: Taking taylor expansion of 1.0 in n 3.410 * [backup-simplify]: Simplify 1.0 into 1.0 3.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.410 * [taylor]: Taking taylor expansion of k in n 3.410 * [backup-simplify]: Simplify k into k 3.410 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.411 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.411 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.411 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.412 * [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)))) 3.413 * [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))))) 3.414 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.415 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.416 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.417 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.420 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (sqrt 1.0) (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)))) (sqrt 1.0)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) (pow k 3)))))))) 3.421 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) 3.421 * [approximate]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 3.421 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.421 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in n 3.421 * [taylor]: Taking taylor expansion of (* -1.0 k) in n 3.421 * [taylor]: Taking taylor expansion of -1.0 in n 3.421 * [backup-simplify]: Simplify -1.0 into -1.0 3.421 * [taylor]: Taking taylor expansion of k in n 3.421 * [backup-simplify]: Simplify k into k 3.421 * [backup-simplify]: Simplify (* -1.0 k) into (* -1.0 k) 3.421 * [backup-simplify]: Simplify (sqrt (* -1.0 k)) into (sqrt (* -1.0 k)) 3.421 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 k)) into 0 3.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1.0 k)))) into 0 3.422 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.422 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.422 * [taylor]: Taking taylor expansion of 0.5 in n 3.422 * [backup-simplify]: Simplify 0.5 into 0.5 3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.422 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.422 * [taylor]: Taking taylor expansion of k in n 3.422 * [backup-simplify]: Simplify k into k 3.422 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.422 * [taylor]: Taking taylor expansion of 1.0 in n 3.422 * [backup-simplify]: Simplify 1.0 into 1.0 3.422 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.422 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.422 * [taylor]: Taking taylor expansion of -2.0 in n 3.422 * [backup-simplify]: Simplify -2.0 into -2.0 3.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.422 * [taylor]: Taking taylor expansion of PI in n 3.422 * [backup-simplify]: Simplify PI into PI 3.422 * [taylor]: Taking taylor expansion of n in n 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (/ PI 1) into PI 3.422 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.423 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.423 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.423 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.425 * [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)))) 3.425 * [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))))) 3.425 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.425 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.425 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 3.426 * [taylor]: Taking taylor expansion of -1.0 in k 3.426 * [backup-simplify]: Simplify -1.0 into -1.0 3.426 * [taylor]: Taking taylor expansion of k in k 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.427 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.427 * [backup-simplify]: Simplify (sqrt 0) into 0 3.428 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.428 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.428 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.428 * [taylor]: Taking taylor expansion of 0.5 in k 3.428 * [backup-simplify]: Simplify 0.5 into 0.5 3.428 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.428 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.428 * [taylor]: Taking taylor expansion of k in k 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (/ 1 1) into 1 3.428 * [taylor]: Taking taylor expansion of 1.0 in k 3.428 * [backup-simplify]: Simplify 1.0 into 1.0 3.428 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.428 * [taylor]: Taking taylor expansion of -2.0 in k 3.428 * [backup-simplify]: Simplify -2.0 into -2.0 3.428 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.428 * [taylor]: Taking taylor expansion of PI in k 3.428 * [backup-simplify]: Simplify PI into PI 3.428 * [taylor]: Taking taylor expansion of n in k 3.428 * [backup-simplify]: Simplify n into n 3.429 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.429 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.429 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.429 * [backup-simplify]: Simplify (+ 1 0) into 1 3.429 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.429 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.429 * [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)))))) 3.429 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.429 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.429 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 3.429 * [taylor]: Taking taylor expansion of -1.0 in k 3.429 * [backup-simplify]: Simplify -1.0 into -1.0 3.429 * [taylor]: Taking taylor expansion of k in k 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.431 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.431 * [backup-simplify]: Simplify (sqrt 0) into 0 3.437 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.437 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.437 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.437 * [taylor]: Taking taylor expansion of 0.5 in k 3.437 * [backup-simplify]: Simplify 0.5 into 0.5 3.437 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.437 * [taylor]: Taking taylor expansion of k in k 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.437 * [taylor]: Taking taylor expansion of 1.0 in k 3.437 * [backup-simplify]: Simplify 1.0 into 1.0 3.437 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.437 * [taylor]: Taking taylor expansion of -2.0 in k 3.437 * [backup-simplify]: Simplify -2.0 into -2.0 3.437 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.437 * [taylor]: Taking taylor expansion of PI in k 3.437 * [backup-simplify]: Simplify PI into PI 3.437 * [taylor]: Taking taylor expansion of n in k 3.437 * [backup-simplify]: Simplify n into n 3.438 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.438 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.438 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.438 * [backup-simplify]: Simplify (+ 1 0) into 1 3.438 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.438 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.438 * [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)))))) 3.439 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into 0 3.439 * [taylor]: Taking taylor expansion of 0 in n 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* 0 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)))))))) 3.439 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.439 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.439 * [taylor]: Taking taylor expansion of +nan.0 in n 3.439 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.439 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.439 * [taylor]: Taking taylor expansion of 0.5 in n 3.439 * [backup-simplify]: Simplify 0.5 into 0.5 3.439 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.439 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.439 * [taylor]: Taking taylor expansion of k in n 3.439 * [backup-simplify]: Simplify k into k 3.439 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [backup-simplify]: Simplify 1.0 into 1.0 3.439 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.439 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.439 * [taylor]: Taking taylor expansion of -2.0 in n 3.439 * [backup-simplify]: Simplify -2.0 into -2.0 3.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.439 * [taylor]: Taking taylor expansion of PI in n 3.440 * [backup-simplify]: Simplify PI into PI 3.440 * [taylor]: Taking taylor expansion of n in n 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.440 * [backup-simplify]: Simplify (/ PI 1) into PI 3.440 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.441 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.441 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.442 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.443 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.443 * [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)))) 3.444 * [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))))) 3.445 * [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)))))) 3.446 * [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))))))) 3.446 * [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))))))) 3.446 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.449 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 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)))))))) 3.449 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.449 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.449 * [taylor]: Taking taylor expansion of +nan.0 in n 3.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.449 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.449 * [taylor]: Taking taylor expansion of 0.5 in n 3.449 * [backup-simplify]: Simplify 0.5 into 0.5 3.449 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.449 * [taylor]: Taking taylor expansion of k in n 3.449 * [backup-simplify]: Simplify k into k 3.449 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.449 * [taylor]: Taking taylor expansion of 1.0 in n 3.449 * [backup-simplify]: Simplify 1.0 into 1.0 3.449 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.450 * [taylor]: Taking taylor expansion of -2.0 in n 3.450 * [backup-simplify]: Simplify -2.0 into -2.0 3.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.450 * [taylor]: Taking taylor expansion of PI in n 3.450 * [backup-simplify]: Simplify PI into PI 3.450 * [taylor]: Taking taylor expansion of n in n 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (/ PI 1) into PI 3.450 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.451 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.451 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.452 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.453 * [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)))) 3.454 * [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))))) 3.454 * [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)))))) 3.455 * [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))))))) 3.456 * [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))))))) 3.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.458 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.460 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.461 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.462 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.463 * [backup-simplify]: Simplify (- 0) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 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)))))))) 3.467 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.467 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.467 * [taylor]: Taking taylor expansion of +nan.0 in n 3.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.467 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.467 * [taylor]: Taking taylor expansion of 0.5 in n 3.467 * [backup-simplify]: Simplify 0.5 into 0.5 3.467 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.467 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.467 * [taylor]: Taking taylor expansion of k in n 3.467 * [backup-simplify]: Simplify k into k 3.467 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.467 * [taylor]: Taking taylor expansion of 1.0 in n 3.467 * [backup-simplify]: Simplify 1.0 into 1.0 3.467 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.467 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.467 * [taylor]: Taking taylor expansion of -2.0 in n 3.467 * [backup-simplify]: Simplify -2.0 into -2.0 3.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.467 * [taylor]: Taking taylor expansion of PI in n 3.467 * [backup-simplify]: Simplify PI into PI 3.467 * [taylor]: Taking taylor expansion of n in n 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (/ PI 1) into PI 3.468 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.469 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.469 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.470 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.471 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.472 * [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)))) 3.472 * [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))))) 3.473 * [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)))))) 3.474 * [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))))))) 3.474 * [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))))))) 3.477 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +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)))))) 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)))))) (pow k 3)))))))) 3.477 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.478 * [backup-simplify]: Simplify (sqrt (/ (* 1.0 1.0) k)) into (* (sqrt (/ 1 k)) (sqrt 1.0)) 3.478 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (sqrt 1.0)) in (k) around 0 3.478 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (sqrt 1.0)) in k 3.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.478 * [taylor]: Taking taylor expansion of k in k 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ 1 1) into 1 3.478 * [backup-simplify]: Simplify (sqrt 0) into 0 3.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.479 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.479 * [taylor]: Taking taylor expansion of 1.0 in k 3.479 * [backup-simplify]: Simplify 1.0 into 1.0 3.479 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (sqrt 1.0)) in k 3.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.480 * [taylor]: Taking taylor expansion of k in k 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (/ 1 1) into 1 3.480 * [backup-simplify]: Simplify (sqrt 0) into 0 3.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.481 * [taylor]: Taking taylor expansion of 1.0 in k 3.481 * [backup-simplify]: Simplify 1.0 into 1.0 3.481 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.482 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.484 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 3.490 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 3.496 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.499 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow k 2)) (+ (* (- (* +nan.0 (sqrt 1.0))) k) (- (* +nan.0 (sqrt 1.0))))) into (- (+ (* +nan.0 (* k (sqrt 1.0))) (- (+ (* +nan.0 (* (pow k 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) 3.499 * [backup-simplify]: Simplify (sqrt (/ (* 1.0 1.0) (/ 1 k))) into (* (sqrt k) (sqrt 1.0)) 3.499 * [approximate]: Taking taylor expansion of (* (sqrt k) (sqrt 1.0)) in (k) around 0 3.500 * [taylor]: Taking taylor expansion of (* (sqrt k) (sqrt 1.0)) in k 3.500 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.500 * [taylor]: Taking taylor expansion of k in k 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 1 into 1 3.500 * [backup-simplify]: Simplify (sqrt 0) into 0 3.501 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.501 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.501 * [taylor]: Taking taylor expansion of 1.0 in k 3.501 * [backup-simplify]: Simplify 1.0 into 1.0 3.501 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.501 * [taylor]: Taking taylor expansion of (* (sqrt k) (sqrt 1.0)) in k 3.501 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.501 * [taylor]: Taking taylor expansion of k in k 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.502 * [backup-simplify]: Simplify (sqrt 0) into 0 3.502 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.502 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.502 * [taylor]: Taking taylor expansion of 1.0 in k 3.502 * [backup-simplify]: Simplify 1.0 into 1.0 3.503 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.503 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.505 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.508 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 3.511 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 3.517 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.520 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (sqrt 1.0))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow k 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow k 3))) (- (* +nan.0 (/ (sqrt 1.0) k))))))) 3.520 * [backup-simplify]: Simplify (sqrt (/ (* 1.0 1.0) (/ 1 (- k)))) into (sqrt (* -1.0 k)) 3.520 * [approximate]: Taking taylor expansion of (sqrt (* -1.0 k)) in (k) around 0 3.520 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.520 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 3.520 * [taylor]: Taking taylor expansion of -1.0 in k 3.520 * [backup-simplify]: Simplify -1.0 into -1.0 3.520 * [taylor]: Taking taylor expansion of k in k 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.522 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.522 * [backup-simplify]: Simplify (sqrt 0) into 0 3.523 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.523 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.523 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 3.523 * [taylor]: Taking taylor expansion of -1.0 in k 3.523 * [backup-simplify]: Simplify -1.0 into -1.0 3.523 * [taylor]: Taking taylor expansion of k in k 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.524 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.524 * [backup-simplify]: Simplify (sqrt 0) into 0 3.525 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.526 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.534 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.534 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.537 * [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)))))))) 3.537 * * * [progress]: simplifying candidates 3.539 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (sqrt (/ (* 1.0 1.0) k)) (sqrt (/ (* 1.0 1.0) k))) (sqrt (/ (* 1.0 1.0) k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 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(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 (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (sqrt 1.0) (* (pow k 2) (* (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 k 2) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (log n))) (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) (sqrt 1.0)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) (pow k 3)))))))) (- (+ (* +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) (- 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(cbrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (cbrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ 1 h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ h2 h0))) (* (sqrt (* h2 h2)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (expm1 (sqrt (/ (* h2 h2) h1))) (log1p (sqrt (/ (* h2 h2) h1))) (log (sqrt (/ (* h2 h2) h1))) (exp (sqrt (/ (* h2 h2) h1))) (* (cbrt (sqrt (/ (* h2 h2) h1))) (cbrt (sqrt (/ (* h2 h2) h1)))) (cbrt (sqrt (/ (* h2 h2) h1))) (* (* (sqrt (/ (* h2 h2) h1)) (sqrt (/ (* h2 h2) h1))) (sqrt (/ (* h2 h2) h1))) (sqrt (* (cbrt (/ (* h2 h2) h1)) (cbrt (/ (* h2 h2) h1)))) (sqrt (cbrt (/ (* h2 h2) h1))) (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (/ h2 (* (cbrt h1) (cbrt h1)))) (sqrt (/ h2 (cbrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 1)) (sqrt (/ h2 h1)) (sqrt 1) (sqrt (/ (* h2 h2) h1)) (sqrt (* h2 h2)) (sqrt (/ 1 h1)) (sqrt (* h2 h2)) (sqrt h1) (/ 1 2) (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (sqrt (/ (* h2 h2) h1))) (- (+ (* h7 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h7 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2)))) (+ (* h6 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h5 (* h1 (* (log (* h0 h4)) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (* h5 (* h1 (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3)))))) (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (- (+ (* h9 (* (* h1 (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (sqrt h2))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* h1 (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (sqrt h2) (* (pow h1 2) (* (log (* h0 h4)) (log h3)))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* h1 (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (sqrt h2) (pow (log h3) 2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (* h9 (* (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5) (sqrt h2)))))))))))))))))))))) (- (+ (* h9 (/ (* (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (sqrt h2)) (pow h1 2))) (- (+ (* h9 (/ (* (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (sqrt h2)) h1)) (- (* h9 (/ (* (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (sqrt h2)) (pow h1 3)))))))) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) h1)) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (pow h1 2))) (- (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (pow h1 3)))))))) (- (+ (* h9 (* h1 (sqrt h2))) (- (+ (* h9 (* (pow h1 2) (sqrt h2))) (- (* h9 (sqrt h2))))))) (- (+ (* h9 (/ (sqrt h2) (pow h1 2))) (- (+ (* h9 (/ (sqrt h2) (pow h1 3))) (- (* h9 (/ (sqrt h2) h1))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) 3.548 * * [simplify]: iteration 0 : 912 enodes (cost 1255 ) 3.564 * * [simplify]: iteration 1 : 3716 enodes (cost 1173 ) 3.624 * * [simplify]: iteration 2 : 5002 enodes (cost 1153 ) 3.629 * * * [progress]: adding candidates to table 4.016 * * [progress]: iteration 4 / 4 4.016 * * * [progress]: picking best candidate 4.051 * * * * [pick]: Picked # 4.051 * * * [progress]: localizing error 4.067 * * * [progress]: generating rewritten candidates 4.067 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.075 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.110 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.184 * * * [progress]: generating series expansions 4.184 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.185 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 4.185 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.185 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.185 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.185 * [taylor]: Taking taylor expansion of 0.5 in k 4.185 * [backup-simplify]: Simplify 0.5 into 0.5 4.185 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.185 * [taylor]: Taking taylor expansion of 1.0 in k 4.185 * [backup-simplify]: Simplify 1.0 into 1.0 4.185 * [taylor]: Taking taylor expansion of k in k 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [taylor]: Taking taylor expansion of (log n) in k 4.185 * [taylor]: Taking taylor expansion of n in k 4.185 * [backup-simplify]: Simplify n into n 4.185 * [backup-simplify]: Simplify (log n) into (log n) 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.186 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.186 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.186 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.186 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.186 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.186 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.186 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.186 * [taylor]: Taking taylor expansion of 0.5 in n 4.186 * [backup-simplify]: Simplify 0.5 into 0.5 4.186 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.186 * [taylor]: Taking taylor expansion of 1.0 in n 4.186 * [backup-simplify]: Simplify 1.0 into 1.0 4.186 * [taylor]: Taking taylor expansion of k in n 4.186 * [backup-simplify]: Simplify k into k 4.186 * [taylor]: Taking taylor expansion of (log n) in n 4.186 * [taylor]: Taking taylor expansion of n in n 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (log 1) into 0 4.187 * [backup-simplify]: Simplify (- k) into (- k) 4.187 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.187 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.187 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.187 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.187 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.187 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.187 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.187 * [taylor]: Taking taylor expansion of 0.5 in n 4.187 * [backup-simplify]: Simplify 0.5 into 0.5 4.187 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.187 * [taylor]: Taking taylor expansion of 1.0 in n 4.187 * [backup-simplify]: Simplify 1.0 into 1.0 4.187 * [taylor]: Taking taylor expansion of k in n 4.187 * [backup-simplify]: Simplify k into k 4.187 * [taylor]: Taking taylor expansion of (log n) in n 4.187 * [taylor]: Taking taylor expansion of n in n 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.188 * [backup-simplify]: Simplify (log 1) into 0 4.188 * [backup-simplify]: Simplify (- k) into (- k) 4.188 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.188 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.188 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.188 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.188 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.188 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.188 * [taylor]: Taking taylor expansion of 0.5 in k 4.188 * [backup-simplify]: Simplify 0.5 into 0.5 4.188 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.188 * [taylor]: Taking taylor expansion of 1.0 in k 4.189 * [backup-simplify]: Simplify 1.0 into 1.0 4.189 * [taylor]: Taking taylor expansion of k in k 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [taylor]: Taking taylor expansion of (log n) in k 4.189 * [taylor]: Taking taylor expansion of n in k 4.189 * [backup-simplify]: Simplify n into n 4.189 * [backup-simplify]: Simplify (log n) into (log n) 4.189 * [backup-simplify]: Simplify (- 0) into 0 4.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.189 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.189 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 4.189 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.189 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 4.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.190 * [backup-simplify]: Simplify (- 0) into 0 4.191 * [backup-simplify]: Simplify (+ 0 0) into 0 4.191 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.191 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.191 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 4.192 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.192 * [taylor]: Taking taylor expansion of 0 in k 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.193 * [backup-simplify]: Simplify (- 1) into -1 4.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.193 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 4.193 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 4.193 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.194 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.195 * [backup-simplify]: Simplify (- 0) into 0 4.196 * [backup-simplify]: Simplify (+ 0 0) into 0 4.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.196 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.197 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 4.197 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.197 * [taylor]: Taking taylor expansion of 0 in k 4.197 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.199 * [backup-simplify]: Simplify (- 0) into 0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.200 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 4.200 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 4.201 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.201 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.201 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 4.202 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 4.202 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.202 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.202 * [taylor]: Taking taylor expansion of 0.5 in k 4.202 * [backup-simplify]: Simplify 0.5 into 0.5 4.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.202 * [taylor]: Taking taylor expansion of 1.0 in k 4.202 * [backup-simplify]: Simplify 1.0 into 1.0 4.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.202 * [taylor]: Taking taylor expansion of k in k 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.202 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.202 * [taylor]: Taking taylor expansion of n in k 4.202 * [backup-simplify]: Simplify n into n 4.202 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.202 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.203 * [backup-simplify]: Simplify (- 1) into -1 4.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.203 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.203 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.203 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.203 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.203 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.203 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.203 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.203 * [taylor]: Taking taylor expansion of 0.5 in n 4.203 * [backup-simplify]: Simplify 0.5 into 0.5 4.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.203 * [taylor]: Taking taylor expansion of 1.0 in n 4.203 * [backup-simplify]: Simplify 1.0 into 1.0 4.203 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.203 * [taylor]: Taking taylor expansion of k in n 4.203 * [backup-simplify]: Simplify k into k 4.204 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.204 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.204 * [taylor]: Taking taylor expansion of n in n 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (/ 1 1) into 1 4.204 * [backup-simplify]: Simplify (log 1) into 0 4.204 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.204 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.204 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.204 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.205 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.205 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.205 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.205 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.205 * [taylor]: Taking taylor expansion of 0.5 in n 4.205 * [backup-simplify]: Simplify 0.5 into 0.5 4.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.205 * [taylor]: Taking taylor expansion of 1.0 in n 4.205 * [backup-simplify]: Simplify 1.0 into 1.0 4.205 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.205 * [taylor]: Taking taylor expansion of k in n 4.205 * [backup-simplify]: Simplify k into k 4.205 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.205 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.205 * [taylor]: Taking taylor expansion of n in n 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (/ 1 1) into 1 4.205 * [backup-simplify]: Simplify (log 1) into 0 4.206 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.206 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.206 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.206 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.206 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.206 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.206 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.206 * [taylor]: Taking taylor expansion of -0.5 in k 4.206 * [backup-simplify]: Simplify -0.5 into -0.5 4.206 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.206 * [taylor]: Taking taylor expansion of (log n) in k 4.206 * [taylor]: Taking taylor expansion of n in k 4.206 * [backup-simplify]: Simplify n into n 4.206 * [backup-simplify]: Simplify (log n) into (log n) 4.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.206 * [taylor]: Taking taylor expansion of 1.0 in k 4.206 * [backup-simplify]: Simplify 1.0 into 1.0 4.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.206 * [taylor]: Taking taylor expansion of k in k 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (/ 1 1) into 1 4.207 * [backup-simplify]: Simplify (- 1) into -1 4.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.207 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 4.207 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 4.207 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.208 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.209 * [backup-simplify]: Simplify (- 0) into 0 4.209 * [backup-simplify]: Simplify (+ 0 0) into 0 4.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.210 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 4.210 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.210 * [taylor]: Taking taylor expansion of 0 in k 4.210 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.213 * [backup-simplify]: Simplify (- 0) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.214 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 4.215 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.215 * [taylor]: Taking taylor expansion of 0 in k 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.219 * [backup-simplify]: Simplify (- 0) into 0 4.219 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.221 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 4.222 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.222 * [taylor]: Taking taylor expansion of 0 in k 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 4.222 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 4.222 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.222 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.222 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.222 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.222 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.222 * [taylor]: Taking taylor expansion of 0.5 in k 4.222 * [backup-simplify]: Simplify 0.5 into 0.5 4.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.222 * [taylor]: Taking taylor expansion of k in k 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (/ 1 1) into 1 4.223 * [taylor]: Taking taylor expansion of 1.0 in k 4.223 * [backup-simplify]: Simplify 1.0 into 1.0 4.223 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.223 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.223 * [taylor]: Taking taylor expansion of -1 in k 4.223 * [backup-simplify]: Simplify -1 into -1 4.223 * [taylor]: Taking taylor expansion of n in k 4.223 * [backup-simplify]: Simplify n into n 4.223 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.223 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.223 * [backup-simplify]: Simplify (+ 1 0) into 1 4.223 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.223 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.224 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.224 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.224 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.224 * [taylor]: Taking taylor expansion of 0.5 in n 4.224 * [backup-simplify]: Simplify 0.5 into 0.5 4.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.224 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.224 * [taylor]: Taking taylor expansion of k in n 4.224 * [backup-simplify]: Simplify k into k 4.224 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.224 * [taylor]: Taking taylor expansion of 1.0 in n 4.224 * [backup-simplify]: Simplify 1.0 into 1.0 4.224 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.224 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.224 * [taylor]: Taking taylor expansion of -1 in n 4.224 * [backup-simplify]: Simplify -1 into -1 4.224 * [taylor]: Taking taylor expansion of n in n 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.224 * [backup-simplify]: Simplify (/ -1 1) into -1 4.224 * [backup-simplify]: Simplify (log -1) into (log -1) 4.225 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.225 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.225 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.226 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.226 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.226 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.226 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.226 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.226 * [taylor]: Taking taylor expansion of 0.5 in n 4.226 * [backup-simplify]: Simplify 0.5 into 0.5 4.226 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.226 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.226 * [taylor]: Taking taylor expansion of k in n 4.226 * [backup-simplify]: Simplify k into k 4.226 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.226 * [taylor]: Taking taylor expansion of 1.0 in n 4.226 * [backup-simplify]: Simplify 1.0 into 1.0 4.226 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.226 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.226 * [taylor]: Taking taylor expansion of -1 in n 4.226 * [backup-simplify]: Simplify -1 into -1 4.226 * [taylor]: Taking taylor expansion of n in n 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [backup-simplify]: Simplify (/ -1 1) into -1 4.227 * [backup-simplify]: Simplify (log -1) into (log -1) 4.227 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.227 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.228 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.228 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.228 * [taylor]: Taking taylor expansion of 0.5 in k 4.228 * [backup-simplify]: Simplify 0.5 into 0.5 4.228 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.228 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.228 * [taylor]: Taking taylor expansion of (log -1) in k 4.228 * [taylor]: Taking taylor expansion of -1 in k 4.228 * [backup-simplify]: Simplify -1 into -1 4.229 * [backup-simplify]: Simplify (log -1) into (log -1) 4.229 * [taylor]: Taking taylor expansion of (log n) in k 4.229 * [taylor]: Taking taylor expansion of n in k 4.229 * [backup-simplify]: Simplify n into n 4.229 * [backup-simplify]: Simplify (log n) into (log n) 4.229 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.229 * [taylor]: Taking taylor expansion of k in k 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (/ 1 1) into 1 4.229 * [taylor]: Taking taylor expansion of 1.0 in k 4.229 * [backup-simplify]: Simplify 1.0 into 1.0 4.229 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.229 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 4.230 * [backup-simplify]: Simplify (+ 1 0) into 1 4.230 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 4.230 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 4.230 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.231 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.233 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.233 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.234 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 4.234 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.234 * [taylor]: Taking taylor expansion of 0 in k 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.237 * [backup-simplify]: Simplify (+ 0 0) into 0 4.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.238 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 4.240 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.240 * [taylor]: Taking taylor expansion of 0 in k 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 4.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.243 * [backup-simplify]: Simplify (+ 0 0) into 0 4.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.245 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 4.246 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.246 * [taylor]: Taking taylor expansion of 0 in k 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 4.247 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.247 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 4.247 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 4.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.247 * [taylor]: Taking taylor expansion of 0.5 in k 4.247 * [backup-simplify]: Simplify 0.5 into 0.5 4.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.247 * [taylor]: Taking taylor expansion of 1.0 in k 4.248 * [backup-simplify]: Simplify 1.0 into 1.0 4.248 * [taylor]: Taking taylor expansion of k in k 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.248 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.248 * [taylor]: Taking taylor expansion of 2.0 in k 4.248 * [backup-simplify]: Simplify 2.0 into 2.0 4.248 * [taylor]: Taking taylor expansion of PI in k 4.248 * [backup-simplify]: Simplify PI into PI 4.248 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.249 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.249 * [backup-simplify]: Simplify (- 0) into 0 4.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.249 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.250 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.252 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.252 * [taylor]: Taking taylor expansion of 0.5 in k 4.252 * [backup-simplify]: Simplify 0.5 into 0.5 4.252 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.252 * [taylor]: Taking taylor expansion of 1.0 in k 4.252 * [backup-simplify]: Simplify 1.0 into 1.0 4.252 * [taylor]: Taking taylor expansion of k in k 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.252 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.252 * [taylor]: Taking taylor expansion of 2.0 in k 4.252 * [backup-simplify]: Simplify 2.0 into 2.0 4.252 * [taylor]: Taking taylor expansion of PI in k 4.252 * [backup-simplify]: Simplify PI into PI 4.252 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.253 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.253 * [backup-simplify]: Simplify (- 0) into 0 4.253 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.254 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.255 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.256 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.257 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 4.257 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.258 * [backup-simplify]: Simplify (- 1) into -1 4.259 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.260 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.268 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.278 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.279 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.281 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.291 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.295 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.305 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 4.305 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 4.305 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.305 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.305 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.306 * [taylor]: Taking taylor expansion of 0.5 in k 4.306 * [backup-simplify]: Simplify 0.5 into 0.5 4.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.306 * [taylor]: Taking taylor expansion of 1.0 in k 4.306 * [backup-simplify]: Simplify 1.0 into 1.0 4.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.306 * [taylor]: Taking taylor expansion of k in k 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify 1 into 1 4.306 * [backup-simplify]: Simplify (/ 1 1) into 1 4.306 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.306 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.306 * [taylor]: Taking taylor expansion of 2.0 in k 4.306 * [backup-simplify]: Simplify 2.0 into 2.0 4.306 * [taylor]: Taking taylor expansion of PI in k 4.306 * [backup-simplify]: Simplify PI into PI 4.306 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.307 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.307 * [backup-simplify]: Simplify (- 1) into -1 4.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.308 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.308 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.309 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.309 * [taylor]: Taking taylor expansion of 0.5 in k 4.309 * [backup-simplify]: Simplify 0.5 into 0.5 4.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.309 * [taylor]: Taking taylor expansion of 1.0 in k 4.309 * [backup-simplify]: Simplify 1.0 into 1.0 4.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.309 * [taylor]: Taking taylor expansion of k in k 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.310 * [backup-simplify]: Simplify (/ 1 1) into 1 4.310 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.310 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.310 * [taylor]: Taking taylor expansion of 2.0 in k 4.310 * [backup-simplify]: Simplify 2.0 into 2.0 4.310 * [taylor]: Taking taylor expansion of PI in k 4.310 * [backup-simplify]: Simplify PI into PI 4.310 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.311 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.311 * [backup-simplify]: Simplify (- 1) into -1 4.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.311 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.312 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.313 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.314 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.315 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 4.315 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.315 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.315 * [taylor]: Taking taylor expansion of 0.5 in k 4.315 * [backup-simplify]: Simplify 0.5 into 0.5 4.315 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.315 * [taylor]: Taking taylor expansion of k in k 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [taylor]: Taking taylor expansion of 1.0 in k 4.315 * [backup-simplify]: Simplify 1.0 into 1.0 4.315 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.315 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.315 * [taylor]: Taking taylor expansion of 2.0 in k 4.315 * [backup-simplify]: Simplify 2.0 into 2.0 4.315 * [taylor]: Taking taylor expansion of PI in k 4.315 * [backup-simplify]: Simplify PI into PI 4.316 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.316 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.317 * [backup-simplify]: Simplify (+ 1 0) into 1 4.317 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.318 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.319 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.319 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.319 * [taylor]: Taking taylor expansion of 0.5 in k 4.319 * [backup-simplify]: Simplify 0.5 into 0.5 4.319 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.319 * [taylor]: Taking taylor expansion of k in k 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [taylor]: Taking taylor expansion of 1.0 in k 4.319 * [backup-simplify]: Simplify 1.0 into 1.0 4.319 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.319 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.319 * [taylor]: Taking taylor expansion of 2.0 in k 4.319 * [backup-simplify]: Simplify 2.0 into 2.0 4.319 * [taylor]: Taking taylor expansion of PI in k 4.319 * [backup-simplify]: Simplify PI into PI 4.319 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.320 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.320 * [backup-simplify]: Simplify (+ 1 0) into 1 4.320 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.322 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.322 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.323 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.324 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.324 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 4.325 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 4.325 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.325 * [taylor]: Taking taylor expansion of 0.5 in n 4.325 * [backup-simplify]: Simplify 0.5 into 0.5 4.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.325 * [taylor]: Taking taylor expansion of 1.0 in n 4.325 * [backup-simplify]: Simplify 1.0 into 1.0 4.325 * [taylor]: Taking taylor expansion of k in n 4.325 * [backup-simplify]: Simplify k into k 4.325 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.325 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.325 * [taylor]: Taking taylor expansion of 2.0 in n 4.325 * [backup-simplify]: Simplify 2.0 into 2.0 4.325 * [taylor]: Taking taylor expansion of PI in n 4.325 * [backup-simplify]: Simplify PI into PI 4.325 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.326 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.326 * [backup-simplify]: Simplify (- k) into (- k) 4.326 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.326 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.327 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 4.327 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.327 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.328 * [taylor]: Taking taylor expansion of 0.5 in n 4.328 * [backup-simplify]: Simplify 0.5 into 0.5 4.328 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.328 * [taylor]: Taking taylor expansion of 1.0 in n 4.328 * [backup-simplify]: Simplify 1.0 into 1.0 4.328 * [taylor]: Taking taylor expansion of k in n 4.328 * [backup-simplify]: Simplify k into k 4.328 * [taylor]: Taking taylor expansion of (log n) in n 4.328 * [taylor]: Taking taylor expansion of n in n 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (log 1) into 0 4.328 * [backup-simplify]: Simplify (- k) into (- k) 4.328 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.328 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.329 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.329 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.329 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.329 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.329 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.329 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.329 * [taylor]: Taking taylor expansion of 0.5 in k 4.329 * [backup-simplify]: Simplify 0.5 into 0.5 4.329 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.329 * [taylor]: Taking taylor expansion of 1.0 in k 4.329 * [backup-simplify]: Simplify 1.0 into 1.0 4.329 * [taylor]: Taking taylor expansion of k in k 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.329 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.329 * [taylor]: Taking taylor expansion of 2.0 in k 4.329 * [backup-simplify]: Simplify 2.0 into 2.0 4.329 * [taylor]: Taking taylor expansion of PI in k 4.329 * [backup-simplify]: Simplify PI into PI 4.329 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.330 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.331 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.332 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.333 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.333 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.333 * [taylor]: Taking taylor expansion of 0.5 in k 4.333 * [backup-simplify]: Simplify 0.5 into 0.5 4.334 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.334 * [taylor]: Taking taylor expansion of 1.0 in k 4.334 * [backup-simplify]: Simplify 1.0 into 1.0 4.334 * [taylor]: Taking taylor expansion of k in k 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [taylor]: Taking taylor expansion of (log n) in k 4.334 * [taylor]: Taking taylor expansion of n in k 4.334 * [backup-simplify]: Simplify n into n 4.334 * [backup-simplify]: Simplify (log n) into (log n) 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.334 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.334 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.334 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.335 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.335 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.335 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.335 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.335 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.335 * [taylor]: Taking taylor expansion of 0.5 in k 4.335 * [backup-simplify]: Simplify 0.5 into 0.5 4.335 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.335 * [taylor]: Taking taylor expansion of 1.0 in k 4.335 * [backup-simplify]: Simplify 1.0 into 1.0 4.335 * [taylor]: Taking taylor expansion of k in k 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.335 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.335 * [taylor]: Taking taylor expansion of 2.0 in k 4.335 * [backup-simplify]: Simplify 2.0 into 2.0 4.335 * [taylor]: Taking taylor expansion of PI in k 4.335 * [backup-simplify]: Simplify PI into PI 4.335 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.336 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.336 * [backup-simplify]: Simplify (- 0) into 0 4.336 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.336 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.337 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.339 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.339 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.339 * [taylor]: Taking taylor expansion of 0.5 in k 4.339 * [backup-simplify]: Simplify 0.5 into 0.5 4.339 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.339 * [taylor]: Taking taylor expansion of 1.0 in k 4.339 * [backup-simplify]: Simplify 1.0 into 1.0 4.339 * [taylor]: Taking taylor expansion of k in k 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [taylor]: Taking taylor expansion of (log n) in k 4.339 * [taylor]: Taking taylor expansion of n in k 4.339 * [backup-simplify]: Simplify n into n 4.339 * [backup-simplify]: Simplify (log n) into (log n) 4.339 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.340 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.340 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.340 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.341 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 4.341 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.341 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.341 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.341 * [taylor]: Taking taylor expansion of 0.5 in n 4.341 * [backup-simplify]: Simplify 0.5 into 0.5 4.341 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.341 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.341 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.341 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.341 * [taylor]: Taking taylor expansion of 1.0 in n 4.341 * [backup-simplify]: Simplify 1.0 into 1.0 4.341 * [taylor]: Taking taylor expansion of (log PI) in n 4.341 * [taylor]: Taking taylor expansion of PI in n 4.341 * [backup-simplify]: Simplify PI into PI 4.341 * [backup-simplify]: Simplify (log PI) into (log PI) 4.342 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.343 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.343 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.343 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.343 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.343 * [taylor]: Taking taylor expansion of 1.0 in n 4.343 * [backup-simplify]: Simplify 1.0 into 1.0 4.343 * [taylor]: Taking taylor expansion of (log n) in n 4.343 * [taylor]: Taking taylor expansion of n in n 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (log 1) into 0 4.343 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.343 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.343 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.343 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.343 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.344 * [taylor]: Taking taylor expansion of 1.0 in n 4.344 * [backup-simplify]: Simplify 1.0 into 1.0 4.344 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.344 * [taylor]: Taking taylor expansion of 2.0 in n 4.344 * [backup-simplify]: Simplify 2.0 into 2.0 4.344 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.344 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.345 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.346 * [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) 4.346 * [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) 4.347 * [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)) 4.348 * [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))) 4.349 * [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) 4.350 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 4.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.350 * [backup-simplify]: Simplify (- 1) into -1 4.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.351 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 4.352 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.354 * [backup-simplify]: Simplify (- 1) into -1 4.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.355 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.357 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.363 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.374 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.374 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.374 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.374 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.374 * [taylor]: Taking taylor expansion of 0.5 in n 4.374 * [backup-simplify]: Simplify 0.5 into 0.5 4.374 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.374 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.374 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.374 * [taylor]: Taking taylor expansion of 2.0 in n 4.374 * [backup-simplify]: Simplify 2.0 into 2.0 4.374 * [taylor]: Taking taylor expansion of PI in n 4.374 * [backup-simplify]: Simplify PI into PI 4.375 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.375 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.375 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.375 * [taylor]: Taking taylor expansion of 0.5 in n 4.375 * [backup-simplify]: Simplify 0.5 into 0.5 4.375 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.375 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.375 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.376 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.376 * [taylor]: Taking taylor expansion of 1.0 in n 4.376 * [backup-simplify]: Simplify 1.0 into 1.0 4.376 * [taylor]: Taking taylor expansion of (log PI) in n 4.376 * [taylor]: Taking taylor expansion of PI in n 4.376 * [backup-simplify]: Simplify PI into PI 4.376 * [backup-simplify]: Simplify (log PI) into (log PI) 4.376 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.377 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.377 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.377 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.377 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.377 * [taylor]: Taking taylor expansion of 1.0 in n 4.377 * [backup-simplify]: Simplify 1.0 into 1.0 4.377 * [taylor]: Taking taylor expansion of (log n) in n 4.377 * [taylor]: Taking taylor expansion of n in n 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (log 1) into 0 4.378 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.378 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.378 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.378 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.378 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.378 * [taylor]: Taking taylor expansion of 1.0 in n 4.378 * [backup-simplify]: Simplify 1.0 into 1.0 4.378 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.378 * [taylor]: Taking taylor expansion of 2.0 in n 4.378 * [backup-simplify]: Simplify 2.0 into 2.0 4.378 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.379 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.380 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.381 * [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) 4.381 * [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) 4.382 * [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)) 4.383 * [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))) 4.384 * [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) 4.384 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.384 * [taylor]: Taking taylor expansion of 0.5 in n 4.384 * [backup-simplify]: Simplify 0.5 into 0.5 4.384 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.384 * [taylor]: Taking taylor expansion of (log n) in n 4.384 * [taylor]: Taking taylor expansion of n in n 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [backup-simplify]: Simplify (log 1) into 0 4.384 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.384 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.384 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.384 * [taylor]: Taking taylor expansion of 0.5 in n 4.384 * [backup-simplify]: Simplify 0.5 into 0.5 4.384 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.384 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.384 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.384 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.384 * [taylor]: Taking taylor expansion of 1.0 in n 4.384 * [backup-simplify]: Simplify 1.0 into 1.0 4.384 * [taylor]: Taking taylor expansion of (log PI) in n 4.384 * [taylor]: Taking taylor expansion of PI in n 4.384 * [backup-simplify]: Simplify PI into PI 4.385 * [backup-simplify]: Simplify (log PI) into (log PI) 4.385 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.386 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.386 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.386 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.386 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.386 * [taylor]: Taking taylor expansion of 1.0 in n 4.386 * [backup-simplify]: Simplify 1.0 into 1.0 4.386 * [taylor]: Taking taylor expansion of (log n) in n 4.386 * [taylor]: Taking taylor expansion of n in n 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (log 1) into 0 4.387 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.387 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.387 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.387 * [taylor]: Taking taylor expansion of 1.0 in n 4.387 * [backup-simplify]: Simplify 1.0 into 1.0 4.387 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.387 * [taylor]: Taking taylor expansion of 2.0 in n 4.387 * [backup-simplify]: Simplify 2.0 into 2.0 4.387 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.388 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.389 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.389 * [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) 4.390 * [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) 4.391 * [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)) 4.391 * [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))) 4.392 * [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) 4.394 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.395 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.395 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.396 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 4.397 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.399 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 4.402 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.404 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.405 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.406 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.407 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.407 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.408 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.408 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.409 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.410 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.411 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.412 * [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 4.413 * [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 4.415 * [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 4.415 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.416 * [backup-simplify]: Simplify (- 0) into 0 4.416 * [backup-simplify]: Simplify (+ 0 0) into 0 4.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 4.418 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.419 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.421 * [backup-simplify]: Simplify (- 0) into 0 4.421 * [backup-simplify]: Simplify (+ 0 0) into 0 4.421 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.430 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.440 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.440 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.440 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.440 * [taylor]: Taking taylor expansion of 0.125 in n 4.440 * [backup-simplify]: Simplify 0.125 into 0.125 4.440 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.440 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.440 * [taylor]: Taking taylor expansion of (log n) in n 4.440 * [taylor]: Taking taylor expansion of n in n 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (log 1) into 0 4.441 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.441 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.441 * [taylor]: Taking taylor expansion of 0.5 in n 4.441 * [backup-simplify]: Simplify 0.5 into 0.5 4.441 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.441 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.441 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.441 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.441 * [taylor]: Taking taylor expansion of 1.0 in n 4.441 * [backup-simplify]: Simplify 1.0 into 1.0 4.441 * [taylor]: Taking taylor expansion of (log PI) in n 4.441 * [taylor]: Taking taylor expansion of PI in n 4.441 * [backup-simplify]: Simplify PI into PI 4.441 * [backup-simplify]: Simplify (log PI) into (log PI) 4.442 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.443 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.443 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.443 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.443 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.443 * [taylor]: Taking taylor expansion of 1.0 in n 4.443 * [backup-simplify]: Simplify 1.0 into 1.0 4.443 * [taylor]: Taking taylor expansion of (log n) in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (log 1) into 0 4.443 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.443 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.444 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.444 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.444 * [taylor]: Taking taylor expansion of 1.0 in n 4.444 * [backup-simplify]: Simplify 1.0 into 1.0 4.444 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.444 * [taylor]: Taking taylor expansion of 2.0 in n 4.444 * [backup-simplify]: Simplify 2.0 into 2.0 4.444 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.444 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.445 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.446 * [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) 4.446 * [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) 4.447 * [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)) 4.448 * [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))) 4.449 * [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) 4.449 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.449 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 4.449 * [taylor]: Taking taylor expansion of 0.25 in n 4.449 * [backup-simplify]: Simplify 0.25 into 0.25 4.449 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 4.449 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 4.449 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.449 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.449 * [taylor]: Taking taylor expansion of 2.0 in n 4.449 * [backup-simplify]: Simplify 2.0 into 2.0 4.449 * [taylor]: Taking taylor expansion of PI in n 4.449 * [backup-simplify]: Simplify PI into PI 4.449 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.450 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.450 * [taylor]: Taking taylor expansion of (log n) in n 4.450 * [taylor]: Taking taylor expansion of n in n 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (log 1) into 0 4.450 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.450 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.450 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.450 * [taylor]: Taking taylor expansion of 0.5 in n 4.450 * [backup-simplify]: Simplify 0.5 into 0.5 4.450 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.450 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.450 * [taylor]: Taking taylor expansion of 1.0 in n 4.450 * [backup-simplify]: Simplify 1.0 into 1.0 4.450 * [taylor]: Taking taylor expansion of (log PI) in n 4.450 * [taylor]: Taking taylor expansion of PI in n 4.450 * [backup-simplify]: Simplify PI into PI 4.451 * [backup-simplify]: Simplify (log PI) into (log PI) 4.451 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.452 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.452 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.452 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.452 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.452 * [taylor]: Taking taylor expansion of 1.0 in n 4.452 * [backup-simplify]: Simplify 1.0 into 1.0 4.452 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.452 * [taylor]: Taking taylor expansion of 2.0 in n 4.452 * [backup-simplify]: Simplify 2.0 into 2.0 4.453 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.453 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.454 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.454 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.454 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.454 * [taylor]: Taking taylor expansion of 1.0 in n 4.454 * [backup-simplify]: Simplify 1.0 into 1.0 4.454 * [taylor]: Taking taylor expansion of (log n) in n 4.454 * [taylor]: Taking taylor expansion of n in n 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [backup-simplify]: Simplify (log 1) into 0 4.455 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.455 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.455 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.455 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.456 * [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) 4.457 * [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)) 4.457 * [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))) 4.458 * [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) 4.458 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.458 * [taylor]: Taking taylor expansion of 0.125 in n 4.458 * [backup-simplify]: Simplify 0.125 into 0.125 4.458 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.458 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.458 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.458 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.458 * [taylor]: Taking taylor expansion of 2.0 in n 4.458 * [backup-simplify]: Simplify 2.0 into 2.0 4.458 * [taylor]: Taking taylor expansion of PI in n 4.458 * [backup-simplify]: Simplify PI into PI 4.459 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.459 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.459 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.459 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.459 * [taylor]: Taking taylor expansion of 0.5 in n 4.459 * [backup-simplify]: Simplify 0.5 into 0.5 4.459 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.459 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.460 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.460 * [taylor]: Taking taylor expansion of 1.0 in n 4.460 * [backup-simplify]: Simplify 1.0 into 1.0 4.460 * [taylor]: Taking taylor expansion of (log PI) in n 4.460 * [taylor]: Taking taylor expansion of PI in n 4.460 * [backup-simplify]: Simplify PI into PI 4.460 * [backup-simplify]: Simplify (log PI) into (log PI) 4.460 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.461 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.461 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.461 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.461 * [taylor]: Taking taylor expansion of 1.0 in n 4.461 * [backup-simplify]: Simplify 1.0 into 1.0 4.461 * [taylor]: Taking taylor expansion of (log n) in n 4.461 * [taylor]: Taking taylor expansion of n in n 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (log 1) into 0 4.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.468 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.468 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.468 * [taylor]: Taking taylor expansion of 1.0 in n 4.468 * [backup-simplify]: Simplify 1.0 into 1.0 4.468 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.468 * [taylor]: Taking taylor expansion of 2.0 in n 4.468 * [backup-simplify]: Simplify 2.0 into 2.0 4.468 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.469 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.470 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.470 * [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) 4.471 * [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) 4.472 * [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)) 4.472 * [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))) 4.473 * [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) 4.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.474 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 4.475 * [backup-simplify]: Simplify (* (pow (log n) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 4.476 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.476 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.477 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 4.478 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 4.480 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 4.481 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 4.483 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.485 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.488 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 4.492 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 4.497 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 4.505 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 4.506 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 4.506 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 4.506 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.506 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.506 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.506 * [taylor]: Taking taylor expansion of 0.5 in n 4.506 * [backup-simplify]: Simplify 0.5 into 0.5 4.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.506 * [taylor]: Taking taylor expansion of 1.0 in n 4.506 * [backup-simplify]: Simplify 1.0 into 1.0 4.506 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.506 * [taylor]: Taking taylor expansion of k in n 4.506 * [backup-simplify]: Simplify k into k 4.506 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.506 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.506 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.506 * [taylor]: Taking taylor expansion of n in n 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (/ 1 1) into 1 4.507 * [backup-simplify]: Simplify (log 1) into 0 4.507 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.507 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.507 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.507 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.507 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 4.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 4.507 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.507 * [taylor]: Taking taylor expansion of 0.5 in n 4.507 * [backup-simplify]: Simplify 0.5 into 0.5 4.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.507 * [taylor]: Taking taylor expansion of 1.0 in n 4.507 * [backup-simplify]: Simplify 1.0 into 1.0 4.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.507 * [taylor]: Taking taylor expansion of k in n 4.507 * [backup-simplify]: Simplify k into k 4.507 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.507 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.507 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.508 * [taylor]: Taking taylor expansion of 2.0 in n 4.508 * [backup-simplify]: Simplify 2.0 into 2.0 4.508 * [taylor]: Taking taylor expansion of PI in n 4.508 * [backup-simplify]: Simplify PI into PI 4.508 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.508 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.508 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.509 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.509 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.509 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.510 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.510 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.510 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.510 * [taylor]: Taking taylor expansion of 0.5 in k 4.510 * [backup-simplify]: Simplify 0.5 into 0.5 4.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.510 * [taylor]: Taking taylor expansion of 1.0 in k 4.510 * [backup-simplify]: Simplify 1.0 into 1.0 4.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.510 * [taylor]: Taking taylor expansion of k in k 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (/ 1 1) into 1 4.510 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.510 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.510 * [taylor]: Taking taylor expansion of n in k 4.511 * [backup-simplify]: Simplify n into n 4.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.511 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.511 * [backup-simplify]: Simplify (- 1) into -1 4.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.511 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.511 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.512 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.512 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.512 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.512 * [taylor]: Taking taylor expansion of 0.5 in k 4.512 * [backup-simplify]: Simplify 0.5 into 0.5 4.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.512 * [taylor]: Taking taylor expansion of 1.0 in k 4.512 * [backup-simplify]: Simplify 1.0 into 1.0 4.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.512 * [taylor]: Taking taylor expansion of k in k 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 1 into 1 4.512 * [backup-simplify]: Simplify (/ 1 1) into 1 4.512 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.512 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.512 * [taylor]: Taking taylor expansion of 2.0 in k 4.512 * [backup-simplify]: Simplify 2.0 into 2.0 4.512 * [taylor]: Taking taylor expansion of PI in k 4.512 * [backup-simplify]: Simplify PI into PI 4.512 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.513 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.513 * [backup-simplify]: Simplify (- 1) into -1 4.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.514 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.515 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.515 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.515 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.515 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.515 * [taylor]: Taking taylor expansion of 0.5 in k 4.515 * [backup-simplify]: Simplify 0.5 into 0.5 4.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.516 * [taylor]: Taking taylor expansion of 1.0 in k 4.516 * [backup-simplify]: Simplify 1.0 into 1.0 4.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.516 * [taylor]: Taking taylor expansion of k in k 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [backup-simplify]: Simplify (/ 1 1) into 1 4.516 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.516 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.516 * [taylor]: Taking taylor expansion of n in k 4.516 * [backup-simplify]: Simplify n into n 4.516 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.516 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.516 * [backup-simplify]: Simplify (- 1) into -1 4.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.517 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.517 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.517 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.517 * [taylor]: Taking taylor expansion of 0.5 in k 4.517 * [backup-simplify]: Simplify 0.5 into 0.5 4.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.517 * [taylor]: Taking taylor expansion of 1.0 in k 4.517 * [backup-simplify]: Simplify 1.0 into 1.0 4.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.517 * [taylor]: Taking taylor expansion of k in k 4.517 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify 1 into 1 4.517 * [backup-simplify]: Simplify (/ 1 1) into 1 4.517 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.517 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.517 * [taylor]: Taking taylor expansion of 2.0 in k 4.517 * [backup-simplify]: Simplify 2.0 into 2.0 4.517 * [taylor]: Taking taylor expansion of PI in k 4.517 * [backup-simplify]: Simplify PI into PI 4.518 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.518 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.519 * [backup-simplify]: Simplify (- 1) into -1 4.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.519 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.520 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.521 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.522 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 4.522 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 4.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.522 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.522 * [taylor]: Taking taylor expansion of 0.5 in n 4.522 * [backup-simplify]: Simplify 0.5 into 0.5 4.522 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.522 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.522 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.522 * [taylor]: Taking taylor expansion of n in n 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [backup-simplify]: Simplify (/ 1 1) into 1 4.522 * [backup-simplify]: Simplify (log 1) into 0 4.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.522 * [taylor]: Taking taylor expansion of 1.0 in n 4.522 * [backup-simplify]: Simplify 1.0 into 1.0 4.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.522 * [taylor]: Taking taylor expansion of k in n 4.522 * [backup-simplify]: Simplify k into k 4.522 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.523 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.523 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.523 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 4.523 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.523 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.523 * [taylor]: Taking taylor expansion of 0.5 in n 4.523 * [backup-simplify]: Simplify 0.5 into 0.5 4.523 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.523 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.523 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.523 * [taylor]: Taking taylor expansion of 2.0 in n 4.523 * [backup-simplify]: Simplify 2.0 into 2.0 4.523 * [taylor]: Taking taylor expansion of PI in n 4.523 * [backup-simplify]: Simplify PI into PI 4.523 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.524 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.524 * [taylor]: Taking taylor expansion of 1.0 in n 4.524 * [backup-simplify]: Simplify 1.0 into 1.0 4.524 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.524 * [taylor]: Taking taylor expansion of k in n 4.524 * [backup-simplify]: Simplify k into k 4.524 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.524 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.524 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.525 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 4.526 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.526 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.527 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 4.528 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 4.529 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 4.529 * [taylor]: Taking taylor expansion of 0 in n 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.529 * [backup-simplify]: Simplify (- 0) into 0 4.529 * [backup-simplify]: Simplify (+ 0 0) into 0 4.530 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.531 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 4.533 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.534 * [backup-simplify]: Simplify (- 0) into 0 4.534 * [backup-simplify]: Simplify (+ 0 0) into 0 4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.535 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 4.536 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.537 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 4.538 * [taylor]: Taking taylor expansion of 0 in n 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.538 * [backup-simplify]: Simplify (- 0) into 0 4.539 * [backup-simplify]: Simplify (+ 0 0) into 0 4.539 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.541 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.542 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 4.544 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.545 * [backup-simplify]: Simplify (- 0) into 0 4.545 * [backup-simplify]: Simplify (+ 0 0) into 0 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.547 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 4.548 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.549 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 4.551 * [taylor]: Taking taylor expansion of 0 in n 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 4.552 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 4.552 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 4.552 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.552 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.552 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.552 * [taylor]: Taking taylor expansion of 0.5 in n 4.552 * [backup-simplify]: Simplify 0.5 into 0.5 4.552 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.552 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.552 * [taylor]: Taking taylor expansion of k in n 4.552 * [backup-simplify]: Simplify k into k 4.552 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.552 * [taylor]: Taking taylor expansion of 1.0 in n 4.552 * [backup-simplify]: Simplify 1.0 into 1.0 4.552 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.552 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.552 * [taylor]: Taking taylor expansion of -1 in n 4.552 * [backup-simplify]: Simplify -1 into -1 4.552 * [taylor]: Taking taylor expansion of n in n 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.553 * [backup-simplify]: Simplify (/ -1 1) into -1 4.553 * [backup-simplify]: Simplify (log -1) into (log -1) 4.553 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.553 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.554 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.554 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.554 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.554 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.554 * [taylor]: Taking taylor expansion of 0.5 in n 4.554 * [backup-simplify]: Simplify 0.5 into 0.5 4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.554 * [taylor]: Taking taylor expansion of k in n 4.554 * [backup-simplify]: Simplify k into k 4.554 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.554 * [taylor]: Taking taylor expansion of 1.0 in n 4.555 * [backup-simplify]: Simplify 1.0 into 1.0 4.555 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.555 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.555 * [taylor]: Taking taylor expansion of 2.0 in n 4.555 * [backup-simplify]: Simplify 2.0 into 2.0 4.555 * [taylor]: Taking taylor expansion of PI in n 4.555 * [backup-simplify]: Simplify PI into PI 4.555 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.555 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.556 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.556 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.556 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.557 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.557 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.557 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.557 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.557 * [taylor]: Taking taylor expansion of 0.5 in k 4.557 * [backup-simplify]: Simplify 0.5 into 0.5 4.557 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.557 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.557 * [taylor]: Taking taylor expansion of k in k 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 1 into 1 4.557 * [backup-simplify]: Simplify (/ 1 1) into 1 4.557 * [taylor]: Taking taylor expansion of 1.0 in k 4.557 * [backup-simplify]: Simplify 1.0 into 1.0 4.557 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.557 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.557 * [taylor]: Taking taylor expansion of -1 in k 4.558 * [backup-simplify]: Simplify -1 into -1 4.558 * [taylor]: Taking taylor expansion of n in k 4.558 * [backup-simplify]: Simplify n into n 4.558 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.558 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.558 * [backup-simplify]: Simplify (+ 1 0) into 1 4.558 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.558 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.558 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.558 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.558 * [taylor]: Taking taylor expansion of 0.5 in k 4.558 * [backup-simplify]: Simplify 0.5 into 0.5 4.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.558 * [taylor]: Taking taylor expansion of k in k 4.558 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.559 * [backup-simplify]: Simplify (/ 1 1) into 1 4.559 * [taylor]: Taking taylor expansion of 1.0 in k 4.559 * [backup-simplify]: Simplify 1.0 into 1.0 4.559 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.559 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.559 * [taylor]: Taking taylor expansion of 2.0 in k 4.559 * [backup-simplify]: Simplify 2.0 into 2.0 4.559 * [taylor]: Taking taylor expansion of PI in k 4.559 * [backup-simplify]: Simplify PI into PI 4.559 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.560 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.566 * [backup-simplify]: Simplify (+ 1 0) into 1 4.566 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.567 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.568 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.568 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.568 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.568 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.568 * [taylor]: Taking taylor expansion of 0.5 in k 4.568 * [backup-simplify]: Simplify 0.5 into 0.5 4.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.568 * [taylor]: Taking taylor expansion of k in k 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (/ 1 1) into 1 4.568 * [taylor]: Taking taylor expansion of 1.0 in k 4.568 * [backup-simplify]: Simplify 1.0 into 1.0 4.568 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.569 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.569 * [taylor]: Taking taylor expansion of -1 in k 4.569 * [backup-simplify]: Simplify -1 into -1 4.569 * [taylor]: Taking taylor expansion of n in k 4.569 * [backup-simplify]: Simplify n into n 4.569 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.569 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.569 * [backup-simplify]: Simplify (+ 1 0) into 1 4.569 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.569 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.569 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.569 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.569 * [taylor]: Taking taylor expansion of 0.5 in k 4.569 * [backup-simplify]: Simplify 0.5 into 0.5 4.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.570 * [taylor]: Taking taylor expansion of k in k 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify (/ 1 1) into 1 4.570 * [taylor]: Taking taylor expansion of 1.0 in k 4.570 * [backup-simplify]: Simplify 1.0 into 1.0 4.570 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.570 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.570 * [taylor]: Taking taylor expansion of 2.0 in k 4.570 * [backup-simplify]: Simplify 2.0 into 2.0 4.570 * [taylor]: Taking taylor expansion of PI in k 4.570 * [backup-simplify]: Simplify PI into PI 4.570 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.571 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.571 * [backup-simplify]: Simplify (+ 1 0) into 1 4.571 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.572 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.573 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.574 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 4.574 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.574 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.574 * [taylor]: Taking taylor expansion of 0.5 in n 4.574 * [backup-simplify]: Simplify 0.5 into 0.5 4.574 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.574 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.574 * [taylor]: Taking taylor expansion of k in n 4.574 * [backup-simplify]: Simplify k into k 4.574 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.574 * [taylor]: Taking taylor expansion of 1.0 in n 4.574 * [backup-simplify]: Simplify 1.0 into 1.0 4.574 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.574 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.574 * [taylor]: Taking taylor expansion of -1 in n 4.574 * [backup-simplify]: Simplify -1 into -1 4.574 * [taylor]: Taking taylor expansion of n in n 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (/ -1 1) into -1 4.575 * [backup-simplify]: Simplify (log -1) into (log -1) 4.575 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.575 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.576 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 4.576 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.576 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.576 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.576 * [taylor]: Taking taylor expansion of 0.5 in n 4.576 * [backup-simplify]: Simplify 0.5 into 0.5 4.576 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.576 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.576 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.576 * [taylor]: Taking taylor expansion of 2.0 in n 4.576 * [backup-simplify]: Simplify 2.0 into 2.0 4.577 * [taylor]: Taking taylor expansion of PI in n 4.577 * [backup-simplify]: Simplify PI into PI 4.577 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.577 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.577 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.577 * [taylor]: Taking taylor expansion of k in n 4.577 * [backup-simplify]: Simplify k into k 4.578 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.578 * [taylor]: Taking taylor expansion of 1.0 in n 4.578 * [backup-simplify]: Simplify 1.0 into 1.0 4.578 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.578 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 4.579 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.580 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.581 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 4.582 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 4.583 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 4.583 * [taylor]: Taking taylor expansion of 0 in n 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.583 * [backup-simplify]: Simplify (+ 0 0) into 0 4.584 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.585 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 4.587 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.589 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.589 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 4.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 4.591 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.592 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 4.593 * [taylor]: Taking taylor expansion of 0 in n 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.594 * [backup-simplify]: Simplify (+ 0 0) into 0 4.594 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.597 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 4.599 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.603 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 4.603 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 4.604 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.606 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 4.606 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 4.607 * [taylor]: Taking taylor expansion of 0 in n 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 4.608 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.609 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) into (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) 4.609 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 4.609 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 4.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.609 * [taylor]: Taking taylor expansion of k in n 4.609 * [backup-simplify]: Simplify k into k 4.609 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.609 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.609 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 4.609 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.609 * [taylor]: Taking taylor expansion of 1.0 in n 4.609 * [backup-simplify]: Simplify 1.0 into 1.0 4.610 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.610 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.610 * [taylor]: Taking taylor expansion of 0.5 in n 4.610 * [backup-simplify]: Simplify 0.5 into 0.5 4.610 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.610 * [taylor]: Taking taylor expansion of 1.0 in n 4.610 * [backup-simplify]: Simplify 1.0 into 1.0 4.610 * [taylor]: Taking taylor expansion of k in n 4.610 * [backup-simplify]: Simplify k into k 4.610 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.610 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.610 * [taylor]: Taking taylor expansion of 2.0 in n 4.610 * [backup-simplify]: Simplify 2.0 into 2.0 4.610 * [taylor]: Taking taylor expansion of PI in n 4.610 * [backup-simplify]: Simplify PI into PI 4.611 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.611 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.611 * [backup-simplify]: Simplify (- k) into (- k) 4.611 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.611 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.612 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 4.613 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.613 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.613 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.613 * [taylor]: Taking taylor expansion of 0.5 in n 4.613 * [backup-simplify]: Simplify 0.5 into 0.5 4.613 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.613 * [taylor]: Taking taylor expansion of 1.0 in n 4.613 * [backup-simplify]: Simplify 1.0 into 1.0 4.613 * [taylor]: Taking taylor expansion of k in n 4.613 * [backup-simplify]: Simplify k into k 4.613 * [taylor]: Taking taylor expansion of (log n) in n 4.613 * [taylor]: Taking taylor expansion of n in n 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify (log 1) into 0 4.613 * [backup-simplify]: Simplify (- k) into (- k) 4.613 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.613 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.613 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.614 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.614 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.614 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.614 * [taylor]: Taking taylor expansion of k in k 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [backup-simplify]: Simplify (/ 1 1) into 1 4.614 * [backup-simplify]: Simplify (sqrt 0) into 0 4.615 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.615 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.615 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.615 * [taylor]: Taking taylor expansion of 1.0 in k 4.615 * [backup-simplify]: Simplify 1.0 into 1.0 4.615 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.616 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.616 * [taylor]: Taking taylor expansion of 0.5 in k 4.616 * [backup-simplify]: Simplify 0.5 into 0.5 4.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.616 * [taylor]: Taking taylor expansion of 1.0 in k 4.616 * [backup-simplify]: Simplify 1.0 into 1.0 4.616 * [taylor]: Taking taylor expansion of k in k 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.616 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.616 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.616 * [taylor]: Taking taylor expansion of 2.0 in k 4.616 * [backup-simplify]: Simplify 2.0 into 2.0 4.616 * [taylor]: Taking taylor expansion of PI in k 4.616 * [backup-simplify]: Simplify PI into PI 4.616 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.617 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.617 * [backup-simplify]: Simplify (- 0) into 0 4.617 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.618 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.619 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.620 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.620 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.620 * [taylor]: Taking taylor expansion of 0.5 in k 4.620 * [backup-simplify]: Simplify 0.5 into 0.5 4.620 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.620 * [taylor]: Taking taylor expansion of 1.0 in k 4.620 * [backup-simplify]: Simplify 1.0 into 1.0 4.620 * [taylor]: Taking taylor expansion of k in k 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.620 * [taylor]: Taking taylor expansion of (log n) in k 4.620 * [taylor]: Taking taylor expansion of n in k 4.620 * [backup-simplify]: Simplify n into n 4.620 * [backup-simplify]: Simplify (log n) into (log n) 4.621 * [backup-simplify]: Simplify (- 0) into 0 4.621 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.621 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.621 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.621 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.621 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.621 * [taylor]: Taking taylor expansion of k in k 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [backup-simplify]: Simplify (sqrt 0) into 0 4.622 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.622 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.623 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.623 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [backup-simplify]: Simplify 1.0 into 1.0 4.623 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.623 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.623 * [taylor]: Taking taylor expansion of 0.5 in k 4.623 * [backup-simplify]: Simplify 0.5 into 0.5 4.623 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.623 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [backup-simplify]: Simplify 1.0 into 1.0 4.623 * [taylor]: Taking taylor expansion of k in k 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.623 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.623 * [taylor]: Taking taylor expansion of 2.0 in k 4.623 * [backup-simplify]: Simplify 2.0 into 2.0 4.623 * [taylor]: Taking taylor expansion of PI in k 4.623 * [backup-simplify]: Simplify PI into PI 4.624 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.624 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.625 * [backup-simplify]: Simplify (- 0) into 0 4.625 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.625 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.626 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.627 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.627 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.628 * [taylor]: Taking taylor expansion of 0.5 in k 4.628 * [backup-simplify]: Simplify 0.5 into 0.5 4.628 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.628 * [taylor]: Taking taylor expansion of 1.0 in k 4.628 * [backup-simplify]: Simplify 1.0 into 1.0 4.628 * [taylor]: Taking taylor expansion of k in k 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [taylor]: Taking taylor expansion of (log n) in k 4.628 * [taylor]: Taking taylor expansion of n in k 4.628 * [backup-simplify]: Simplify n into n 4.628 * [backup-simplify]: Simplify (log n) into (log n) 4.628 * [backup-simplify]: Simplify (- 0) into 0 4.628 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.628 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.629 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.629 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.629 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 4.631 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)) 4.632 * [backup-simplify]: Simplify (* 0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) into 0 4.632 * [taylor]: Taking taylor expansion of 0 in n 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.632 * [backup-simplify]: Simplify (- 1) into -1 4.633 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.633 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 4.634 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.635 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.636 * [backup-simplify]: Simplify (- 1) into -1 4.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.637 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.646 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.650 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.654 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 4.665 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 4.665 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) in n 4.665 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 4.665 * [taylor]: Taking taylor expansion of +nan.0 in n 4.665 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.665 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 4.665 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.665 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.665 * [taylor]: Taking taylor expansion of 0.5 in n 4.665 * [backup-simplify]: Simplify 0.5 into 0.5 4.665 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.665 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.665 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.665 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.665 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.665 * [taylor]: Taking taylor expansion of 1.0 in n 4.665 * [backup-simplify]: Simplify 1.0 into 1.0 4.665 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.665 * [taylor]: Taking taylor expansion of 2.0 in n 4.665 * [backup-simplify]: Simplify 2.0 into 2.0 4.666 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.666 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.667 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.667 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.667 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.667 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.667 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.667 * [taylor]: Taking taylor expansion of 1.0 in n 4.667 * [backup-simplify]: Simplify 1.0 into 1.0 4.667 * [taylor]: Taking taylor expansion of (log n) in n 4.667 * [taylor]: Taking taylor expansion of n in n 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (log 1) into 0 4.668 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.668 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.668 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.668 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.668 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.668 * [taylor]: Taking taylor expansion of 1.0 in n 4.668 * [backup-simplify]: Simplify 1.0 into 1.0 4.668 * [taylor]: Taking taylor expansion of (log PI) in n 4.668 * [taylor]: Taking taylor expansion of PI in n 4.668 * [backup-simplify]: Simplify PI into PI 4.668 * [backup-simplify]: Simplify (log PI) into (log PI) 4.669 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.670 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.670 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.671 * [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) 4.671 * [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)) 4.672 * [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))) 4.673 * [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) 4.673 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.673 * [taylor]: Taking taylor expansion of 1.0 in n 4.673 * [backup-simplify]: Simplify 1.0 into 1.0 4.673 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.675 * [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) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 4.676 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 4.677 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 4.678 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) 4.678 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.679 * [backup-simplify]: Simplify (- 0) into 0 4.680 * [backup-simplify]: Simplify (+ 0 0) into 0 4.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.681 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 4.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.682 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.684 * [backup-simplify]: Simplify (- 0) into 0 4.684 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.686 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.694 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.703 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.704 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.712 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))) 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.724 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) (+ (* +nan.0 (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 4.725 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 4.725 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 4.725 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 4.725 * [taylor]: Taking taylor expansion of +nan.0 in n 4.725 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.725 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 4.725 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.725 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.725 * [taylor]: Taking taylor expansion of 0.5 in n 4.725 * [backup-simplify]: Simplify 0.5 into 0.5 4.725 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.725 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.725 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.725 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.725 * [taylor]: Taking taylor expansion of 1.0 in n 4.725 * [backup-simplify]: Simplify 1.0 into 1.0 4.725 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.725 * [taylor]: Taking taylor expansion of 2.0 in n 4.725 * [backup-simplify]: Simplify 2.0 into 2.0 4.725 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.726 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.727 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.727 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.727 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.727 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.727 * [taylor]: Taking taylor expansion of 1.0 in n 4.727 * [backup-simplify]: Simplify 1.0 into 1.0 4.727 * [taylor]: Taking taylor expansion of (log n) in n 4.727 * [taylor]: Taking taylor expansion of n in n 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (log 1) into 0 4.727 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.727 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.727 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.727 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.727 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.727 * [taylor]: Taking taylor expansion of 1.0 in n 4.727 * [backup-simplify]: Simplify 1.0 into 1.0 4.727 * [taylor]: Taking taylor expansion of (log PI) in n 4.728 * [taylor]: Taking taylor expansion of PI in n 4.728 * [backup-simplify]: Simplify PI into PI 4.728 * [backup-simplify]: Simplify (log PI) into (log PI) 4.728 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.729 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.730 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.730 * [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) 4.731 * [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)) 4.732 * [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))) 4.733 * [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) 4.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.733 * [taylor]: Taking taylor expansion of 1.0 in n 4.733 * [backup-simplify]: Simplify 1.0 into 1.0 4.733 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.734 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 4.734 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.734 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) in n 4.734 * [taylor]: Taking taylor expansion of +nan.0 in n 4.734 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.734 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n))) in n 4.734 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.734 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.734 * [taylor]: Taking taylor expansion of 0.5 in n 4.734 * [backup-simplify]: Simplify 0.5 into 0.5 4.734 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.734 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.734 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.734 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.734 * [taylor]: Taking taylor expansion of 1.0 in n 4.734 * [backup-simplify]: Simplify 1.0 into 1.0 4.734 * [taylor]: Taking taylor expansion of (log PI) in n 4.734 * [taylor]: Taking taylor expansion of PI in n 4.734 * [backup-simplify]: Simplify PI into PI 4.734 * [backup-simplify]: Simplify (log PI) into (log PI) 4.735 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.736 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.736 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.736 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.736 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.736 * [taylor]: Taking taylor expansion of 1.0 in n 4.736 * [backup-simplify]: Simplify 1.0 into 1.0 4.736 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.736 * [taylor]: Taking taylor expansion of 2.0 in n 4.736 * [backup-simplify]: Simplify 2.0 into 2.0 4.736 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.737 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.738 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.738 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.738 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.738 * [taylor]: Taking taylor expansion of 1.0 in n 4.738 * [backup-simplify]: Simplify 1.0 into 1.0 4.738 * [taylor]: Taking taylor expansion of (log n) in n 4.738 * [taylor]: Taking taylor expansion of n in n 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (log 1) into 0 4.738 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.738 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.738 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.739 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.739 * [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) 4.740 * [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)) 4.741 * [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))) 4.742 * [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) 4.742 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (log n)) in n 4.742 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.742 * [taylor]: Taking taylor expansion of 1.0 in n 4.742 * [backup-simplify]: Simplify 1.0 into 1.0 4.742 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.743 * [taylor]: Taking taylor expansion of (log n) in n 4.743 * [taylor]: Taking taylor expansion of n in n 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify (log 1) into 0 4.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.743 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.743 * [taylor]: Taking taylor expansion of +nan.0 in n 4.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.743 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.743 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (sqrt 1.0)) in n 4.743 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.743 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.743 * [taylor]: Taking taylor expansion of 2.0 in n 4.743 * [backup-simplify]: Simplify 2.0 into 2.0 4.743 * [taylor]: Taking taylor expansion of PI in n 4.743 * [backup-simplify]: Simplify PI into PI 4.743 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.744 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.744 * [taylor]: Taking taylor expansion of 1.0 in n 4.744 * [backup-simplify]: Simplify 1.0 into 1.0 4.744 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.745 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.745 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.745 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.745 * [taylor]: Taking taylor expansion of 0.5 in n 4.745 * [backup-simplify]: Simplify 0.5 into 0.5 4.745 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.745 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.745 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.745 * [taylor]: Taking taylor expansion of 1.0 in n 4.745 * [backup-simplify]: Simplify 1.0 into 1.0 4.745 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.745 * [taylor]: Taking taylor expansion of 2.0 in n 4.745 * [backup-simplify]: Simplify 2.0 into 2.0 4.745 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.746 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.747 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.747 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.747 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.747 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.747 * [taylor]: Taking taylor expansion of 1.0 in n 4.747 * [backup-simplify]: Simplify 1.0 into 1.0 4.747 * [taylor]: Taking taylor expansion of (log n) in n 4.747 * [taylor]: Taking taylor expansion of n in n 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (log 1) into 0 4.747 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.747 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.747 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.747 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.747 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.747 * [taylor]: Taking taylor expansion of 1.0 in n 4.747 * [backup-simplify]: Simplify 1.0 into 1.0 4.747 * [taylor]: Taking taylor expansion of (log PI) in n 4.747 * [taylor]: Taking taylor expansion of PI in n 4.747 * [backup-simplify]: Simplify PI into PI 4.748 * [backup-simplify]: Simplify (log PI) into (log PI) 4.748 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.749 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.750 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.750 * [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) 4.751 * [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)) 4.752 * [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))) 4.753 * [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) 4.760 * [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) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 4.761 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 4.762 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.762 * [backup-simplify]: Simplify (* (sqrt 1.0) (log n)) into (* (sqrt 1.0) (log n)) 4.763 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (sqrt 1.0) (log n))) into (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.764 * [backup-simplify]: Simplify (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.766 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (sqrt 1.0)) into (* (log (* 2.0 PI)) (sqrt 1.0)) 4.768 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (sqrt 1.0)) (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 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.770 * [backup-simplify]: Simplify (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (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) (* (log (* 2.0 PI)) (sqrt 1.0)))) 4.772 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))) into (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) 4.776 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))) 4.779 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 4.784 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 4.789 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 4.793 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 4.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.795 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.795 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.796 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.797 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.797 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.798 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 4.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.799 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.800 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.800 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 4.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 4.803 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 4.804 * [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)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.805 * [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) 0) (* 0 (sqrt 1.0))) into 0 4.806 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into 0 4.807 * [backup-simplify]: Simplify (- 0) into 0 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 0 into 0 4.808 * [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 4.808 * [backup-simplify]: Simplify (- 0) into 0 4.809 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.810 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 4.811 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 4.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.815 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 4.815 * [backup-simplify]: Simplify (- 0) into 0 4.815 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 4.827 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.841 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))))) into (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) 4.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.863 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) (+ (* 0 (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.020833333333333332 (* (* (pow (log n) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (* (pow (log n) 2) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.020833333333333332 (* (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.885 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (* (pow (log n) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (* (pow (log n) 2) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.020833333333333332 (* (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) (+ (* +nan.0 (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 4.885 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) in n 4.885 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) in n 4.885 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 4.885 * [taylor]: Taking taylor expansion of +nan.0 in n 4.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.885 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 4.885 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.885 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.885 * [taylor]: Taking taylor expansion of 0.5 in n 4.885 * [backup-simplify]: Simplify 0.5 into 0.5 4.885 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.885 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.885 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.886 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.886 * [taylor]: Taking taylor expansion of 1.0 in n 4.886 * [backup-simplify]: Simplify 1.0 into 1.0 4.886 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.886 * [taylor]: Taking taylor expansion of 2.0 in n 4.886 * [backup-simplify]: Simplify 2.0 into 2.0 4.886 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.886 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.887 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.887 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.887 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.887 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.887 * [taylor]: Taking taylor expansion of 1.0 in n 4.887 * [backup-simplify]: Simplify 1.0 into 1.0 4.887 * [taylor]: Taking taylor expansion of (log n) in n 4.887 * [taylor]: Taking taylor expansion of n in n 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 1 into 1 4.888 * [backup-simplify]: Simplify (log 1) into 0 4.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.888 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.888 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.888 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.888 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.888 * [taylor]: Taking taylor expansion of 1.0 in n 4.888 * [backup-simplify]: Simplify 1.0 into 1.0 4.888 * [taylor]: Taking taylor expansion of (log PI) in n 4.888 * [taylor]: Taking taylor expansion of PI in n 4.888 * [backup-simplify]: Simplify PI into PI 4.888 * [backup-simplify]: Simplify (log PI) into (log PI) 4.889 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.890 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.890 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.891 * [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) 4.892 * [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)) 4.893 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.893 * [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) 4.893 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.894 * [taylor]: Taking taylor expansion of 1.0 in n 4.894 * [backup-simplify]: Simplify 1.0 into 1.0 4.894 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.894 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) in n 4.894 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) in n 4.894 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) in n 4.894 * [taylor]: Taking taylor expansion of +nan.0 in n 4.894 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.894 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n))) in n 4.894 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.894 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.894 * [taylor]: Taking taylor expansion of 0.5 in n 4.894 * [backup-simplify]: Simplify 0.5 into 0.5 4.894 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.895 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.895 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.895 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.895 * [taylor]: Taking taylor expansion of 1.0 in n 4.895 * [backup-simplify]: Simplify 1.0 into 1.0 4.895 * [taylor]: Taking taylor expansion of (log PI) in n 4.895 * [taylor]: Taking taylor expansion of PI in n 4.895 * [backup-simplify]: Simplify PI into PI 4.895 * [backup-simplify]: Simplify (log PI) into (log PI) 4.895 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.896 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.896 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.896 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.896 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.896 * [taylor]: Taking taylor expansion of 1.0 in n 4.896 * [backup-simplify]: Simplify 1.0 into 1.0 4.896 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.896 * [taylor]: Taking taylor expansion of 2.0 in n 4.896 * [backup-simplify]: Simplify 2.0 into 2.0 4.897 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.897 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.898 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.898 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.898 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.898 * [taylor]: Taking taylor expansion of 1.0 in n 4.898 * [backup-simplify]: Simplify 1.0 into 1.0 4.898 * [taylor]: Taking taylor expansion of (log n) in n 4.898 * [taylor]: Taking taylor expansion of n in n 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (log 1) into 0 4.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.899 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.899 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.899 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.900 * [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) 4.901 * [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)) 4.901 * [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))) 4.902 * [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) 4.902 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (log n)) in n 4.902 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.902 * [taylor]: Taking taylor expansion of 1.0 in n 4.902 * [backup-simplify]: Simplify 1.0 into 1.0 4.903 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.903 * [taylor]: Taking taylor expansion of (log n) in n 4.903 * [taylor]: Taking taylor expansion of n in n 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [backup-simplify]: Simplify (log 1) into 0 4.903 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) in n 4.903 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) in n 4.903 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) in n 4.903 * [taylor]: Taking taylor expansion of +nan.0 in n 4.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.903 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) in n 4.903 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.903 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.904 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.904 * [taylor]: Taking taylor expansion of 0.5 in n 4.904 * [backup-simplify]: Simplify 0.5 into 0.5 4.904 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.904 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.904 * [taylor]: Taking taylor expansion of 1.0 in n 4.904 * [backup-simplify]: Simplify 1.0 into 1.0 4.904 * [taylor]: Taking taylor expansion of (log PI) in n 4.904 * [taylor]: Taking taylor expansion of PI in n 4.904 * [backup-simplify]: Simplify PI into PI 4.904 * [backup-simplify]: Simplify (log PI) into (log PI) 4.905 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.905 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.905 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.905 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.906 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.906 * [taylor]: Taking taylor expansion of 1.0 in n 4.906 * [backup-simplify]: Simplify 1.0 into 1.0 4.906 * [taylor]: Taking taylor expansion of (log n) in n 4.906 * [taylor]: Taking taylor expansion of n in n 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 1 into 1 4.906 * [backup-simplify]: Simplify (log 1) into 0 4.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.906 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.906 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.906 * [taylor]: Taking taylor expansion of 1.0 in n 4.906 * [backup-simplify]: Simplify 1.0 into 1.0 4.906 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.906 * [taylor]: Taking taylor expansion of 2.0 in n 4.906 * [backup-simplify]: Simplify 2.0 into 2.0 4.907 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.907 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.908 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.908 * [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) 4.909 * [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) 4.910 * [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)) 4.911 * [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))) 4.911 * [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) 4.911 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) in n 4.911 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.912 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.912 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.912 * [taylor]: Taking taylor expansion of 2.0 in n 4.912 * [backup-simplify]: Simplify 2.0 into 2.0 4.912 * [taylor]: Taking taylor expansion of PI in n 4.912 * [backup-simplify]: Simplify PI into PI 4.912 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.912 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.912 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.913 * [taylor]: Taking taylor expansion of 1.0 in n 4.913 * [backup-simplify]: Simplify 1.0 into 1.0 4.913 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.913 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 4.913 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 4.913 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.913 * [taylor]: Taking taylor expansion of +nan.0 in n 4.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.913 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.913 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (sqrt 1.0)) in n 4.913 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.913 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.913 * [taylor]: Taking taylor expansion of 2.0 in n 4.913 * [backup-simplify]: Simplify 2.0 into 2.0 4.913 * [taylor]: Taking taylor expansion of PI in n 4.913 * [backup-simplify]: Simplify PI into PI 4.914 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.914 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.914 * [taylor]: Taking taylor expansion of 1.0 in n 4.914 * [backup-simplify]: Simplify 1.0 into 1.0 4.915 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.915 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.915 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.915 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.915 * [taylor]: Taking taylor expansion of 0.5 in n 4.915 * [backup-simplify]: Simplify 0.5 into 0.5 4.915 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.915 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.915 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.915 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.915 * [taylor]: Taking taylor expansion of 1.0 in n 4.915 * [backup-simplify]: Simplify 1.0 into 1.0 4.915 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.915 * [taylor]: Taking taylor expansion of 2.0 in n 4.915 * [backup-simplify]: Simplify 2.0 into 2.0 4.915 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.916 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.917 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.917 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.917 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.917 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.917 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.917 * [taylor]: Taking taylor expansion of 1.0 in n 4.917 * [backup-simplify]: Simplify 1.0 into 1.0 4.917 * [taylor]: Taking taylor expansion of (log n) in n 4.917 * [taylor]: Taking taylor expansion of n in n 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (log 1) into 0 4.917 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.918 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.918 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.918 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.918 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.918 * [taylor]: Taking taylor expansion of 1.0 in n 4.918 * [backup-simplify]: Simplify 1.0 into 1.0 4.918 * [taylor]: Taking taylor expansion of (log PI) in n 4.918 * [taylor]: Taking taylor expansion of PI in n 4.918 * [backup-simplify]: Simplify PI into PI 4.918 * [backup-simplify]: Simplify (log PI) into (log PI) 4.919 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.919 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.920 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.921 * [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) 4.921 * [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)) 4.922 * [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))) 4.923 * [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) 4.923 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 4.923 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.923 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.923 * [taylor]: Taking taylor expansion of +nan.0 in n 4.923 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.923 * [taylor]: Taking taylor expansion of (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.923 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (sqrt 1.0)) in n 4.923 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.923 * [taylor]: Taking taylor expansion of (log n) in n 4.923 * [taylor]: Taking taylor expansion of n in n 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 1 into 1 4.923 * [backup-simplify]: Simplify (log 1) into 0 4.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.924 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.924 * [taylor]: Taking taylor expansion of 1.0 in n 4.924 * [backup-simplify]: Simplify 1.0 into 1.0 4.924 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.924 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.924 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.924 * [taylor]: Taking taylor expansion of 0.5 in n 4.924 * [backup-simplify]: Simplify 0.5 into 0.5 4.925 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.925 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.925 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.925 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.925 * [taylor]: Taking taylor expansion of 1.0 in n 4.925 * [backup-simplify]: Simplify 1.0 into 1.0 4.925 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.925 * [taylor]: Taking taylor expansion of 2.0 in n 4.925 * [backup-simplify]: Simplify 2.0 into 2.0 4.925 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.925 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.926 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.926 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.926 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.926 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.926 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.926 * [taylor]: Taking taylor expansion of 1.0 in n 4.926 * [backup-simplify]: Simplify 1.0 into 1.0 4.926 * [taylor]: Taking taylor expansion of (log n) in n 4.926 * [taylor]: Taking taylor expansion of n in n 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.927 * [backup-simplify]: Simplify (log 1) into 0 4.927 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.927 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.927 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.927 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.927 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.927 * [taylor]: Taking taylor expansion of 1.0 in n 4.927 * [backup-simplify]: Simplify 1.0 into 1.0 4.927 * [taylor]: Taking taylor expansion of (log PI) in n 4.927 * [taylor]: Taking taylor expansion of PI in n 4.927 * [backup-simplify]: Simplify PI into PI 4.927 * [backup-simplify]: Simplify (log PI) into (log PI) 4.928 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.929 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.929 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.930 * [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) 4.931 * [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)) 4.932 * [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))) 4.933 * [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) 4.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.933 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.933 * [taylor]: Taking taylor expansion of +nan.0 in n 4.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.933 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.933 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) in n 4.933 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.933 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.933 * [taylor]: Taking taylor expansion of 2.0 in n 4.933 * [backup-simplify]: Simplify 2.0 into 2.0 4.933 * [taylor]: Taking taylor expansion of PI in n 4.933 * [backup-simplify]: Simplify PI into PI 4.933 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.934 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.934 * [taylor]: Taking taylor expansion of (* (log n) (sqrt 1.0)) in n 4.934 * [taylor]: Taking taylor expansion of (log n) in n 4.934 * [taylor]: Taking taylor expansion of n in n 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (log 1) into 0 4.934 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.934 * [taylor]: Taking taylor expansion of 1.0 in n 4.934 * [backup-simplify]: Simplify 1.0 into 1.0 4.934 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.935 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.935 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.935 * [taylor]: Taking taylor expansion of 0.5 in n 4.935 * [backup-simplify]: Simplify 0.5 into 0.5 4.935 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.935 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.935 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.935 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.935 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.935 * [taylor]: Taking taylor expansion of 1.0 in n 4.935 * [backup-simplify]: Simplify 1.0 into 1.0 4.935 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.935 * [taylor]: Taking taylor expansion of 2.0 in n 4.935 * [backup-simplify]: Simplify 2.0 into 2.0 4.935 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.936 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.937 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.937 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.937 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.937 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.937 * [taylor]: Taking taylor expansion of 1.0 in n 4.937 * [backup-simplify]: Simplify 1.0 into 1.0 4.937 * [taylor]: Taking taylor expansion of (log n) in n 4.937 * [taylor]: Taking taylor expansion of n in n 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (log 1) into 0 4.937 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.937 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.937 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.937 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.938 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.938 * [taylor]: Taking taylor expansion of 1.0 in n 4.938 * [backup-simplify]: Simplify 1.0 into 1.0 4.938 * [taylor]: Taking taylor expansion of (log PI) in n 4.938 * [taylor]: Taking taylor expansion of PI in n 4.938 * [backup-simplify]: Simplify PI into PI 4.938 * [backup-simplify]: Simplify (log PI) into (log PI) 4.938 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.940 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.940 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.941 * [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) 4.941 * [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)) 4.942 * [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))) 4.943 * [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) 4.950 * [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) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 4.951 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 4.951 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.952 * [backup-simplify]: Simplify (* (sqrt 1.0) (log n)) into (* (sqrt 1.0) (log n)) 4.953 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (sqrt 1.0) (log n))) into (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.954 * [backup-simplify]: Simplify (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.955 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 4.957 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) into (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) 4.960 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) into (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.962 * [backup-simplify]: Simplify (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (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) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.964 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (sqrt 1.0)) into (* (log (* 2.0 PI)) (sqrt 1.0)) 4.966 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (sqrt 1.0)) (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 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.968 * [backup-simplify]: Simplify (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (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) (* (log (* 2.0 PI)) (sqrt 1.0)))) 4.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.969 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 4.969 * [backup-simplify]: Simplify (* (pow (log n) 2) (sqrt 1.0)) into (* (sqrt 1.0) (pow (log n) 2)) 4.970 * [backup-simplify]: Simplify (* (* (sqrt 1.0) (pow (log n) 2)) (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 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2))) 4.971 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) 4.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.972 * [backup-simplify]: Simplify (* (log n) (sqrt 1.0)) into (* (sqrt 1.0) (log n)) 4.972 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))) into (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))) 4.974 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))) (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 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) 4.976 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) 4.978 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))) 4.981 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) 4.984 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) 4.989 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 4.995 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (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) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))) 5.003 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) 5.012 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) into (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))) 5.022 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) 5.032 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))) 5.048 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 5.061 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) 5.073 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) 5.092 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) (* 1 k)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (sqrt 1.0))) (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)) (sqrt 1.0))) (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 n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow k 2) (sqrt 1.0)) (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) (* (sqrt 1.0) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (* k (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 5.093 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 k))) (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) 5.093 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 5.093 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in n 5.093 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.093 * [taylor]: Taking taylor expansion of k in n 5.093 * [backup-simplify]: Simplify k into k 5.093 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.093 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.093 * [taylor]: Taking taylor expansion of 1.0 in n 5.093 * [backup-simplify]: Simplify 1.0 into 1.0 5.094 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.094 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.094 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 5.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 5.094 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.094 * [taylor]: Taking taylor expansion of 0.5 in n 5.094 * [backup-simplify]: Simplify 0.5 into 0.5 5.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.094 * [taylor]: Taking taylor expansion of 1.0 in n 5.094 * [backup-simplify]: Simplify 1.0 into 1.0 5.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.094 * [taylor]: Taking taylor expansion of k in n 5.094 * [backup-simplify]: Simplify k into k 5.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.094 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.094 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.094 * [taylor]: Taking taylor expansion of 2.0 in n 5.094 * [backup-simplify]: Simplify 2.0 into 2.0 5.094 * [taylor]: Taking taylor expansion of PI in n 5.094 * [backup-simplify]: Simplify PI into PI 5.095 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.095 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.095 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.095 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.095 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.096 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.097 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.097 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.097 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.097 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.097 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.097 * [taylor]: Taking taylor expansion of 0.5 in n 5.097 * [backup-simplify]: Simplify 0.5 into 0.5 5.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.097 * [taylor]: Taking taylor expansion of 1.0 in n 5.097 * [backup-simplify]: Simplify 1.0 into 1.0 5.097 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.097 * [taylor]: Taking taylor expansion of k in n 5.097 * [backup-simplify]: Simplify k into k 5.097 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.097 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.097 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.097 * [taylor]: Taking taylor expansion of n in n 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify (/ 1 1) into 1 5.097 * [backup-simplify]: Simplify (log 1) into 0 5.097 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.098 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.098 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.098 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.098 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.098 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in k 5.098 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.098 * [taylor]: Taking taylor expansion of k in k 5.098 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify 1 into 1 5.098 * [backup-simplify]: Simplify (sqrt 0) into 0 5.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.099 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.099 * [taylor]: Taking taylor expansion of 1.0 in k 5.099 * [backup-simplify]: Simplify 1.0 into 1.0 5.100 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.100 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.100 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.100 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.100 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.100 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.100 * [taylor]: Taking taylor expansion of 0.5 in k 5.100 * [backup-simplify]: Simplify 0.5 into 0.5 5.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.100 * [taylor]: Taking taylor expansion of 1.0 in k 5.100 * [backup-simplify]: Simplify 1.0 into 1.0 5.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.100 * [taylor]: Taking taylor expansion of k in k 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (/ 1 1) into 1 5.100 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.100 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.100 * [taylor]: Taking taylor expansion of 2.0 in k 5.100 * [backup-simplify]: Simplify 2.0 into 2.0 5.101 * [taylor]: Taking taylor expansion of PI in k 5.101 * [backup-simplify]: Simplify PI into PI 5.101 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.101 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.102 * [backup-simplify]: Simplify (- 1) into -1 5.102 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.102 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.103 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.104 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.104 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.104 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.104 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.104 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.104 * [taylor]: Taking taylor expansion of 0.5 in k 5.104 * [backup-simplify]: Simplify 0.5 into 0.5 5.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.104 * [taylor]: Taking taylor expansion of 1.0 in k 5.104 * [backup-simplify]: Simplify 1.0 into 1.0 5.104 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.104 * [taylor]: Taking taylor expansion of k in k 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (/ 1 1) into 1 5.104 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.104 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.104 * [taylor]: Taking taylor expansion of n in k 5.104 * [backup-simplify]: Simplify n into n 5.104 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.104 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.105 * [backup-simplify]: Simplify (- 1) into -1 5.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.105 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.105 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.105 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.105 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in k 5.105 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.105 * [taylor]: Taking taylor expansion of k in k 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (sqrt 0) into 0 5.106 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.106 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.106 * [taylor]: Taking taylor expansion of 1.0 in k 5.106 * [backup-simplify]: Simplify 1.0 into 1.0 5.107 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.107 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.107 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.107 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.107 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.107 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.107 * [taylor]: Taking taylor expansion of 0.5 in k 5.107 * [backup-simplify]: Simplify 0.5 into 0.5 5.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.107 * [taylor]: Taking taylor expansion of 1.0 in k 5.107 * [backup-simplify]: Simplify 1.0 into 1.0 5.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.107 * [taylor]: Taking taylor expansion of k in k 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.107 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.107 * [taylor]: Taking taylor expansion of 2.0 in k 5.107 * [backup-simplify]: Simplify 2.0 into 2.0 5.107 * [taylor]: Taking taylor expansion of PI in k 5.107 * [backup-simplify]: Simplify PI into PI 5.108 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.108 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.109 * [backup-simplify]: Simplify (- 1) into -1 5.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.109 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.110 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.111 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.111 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.111 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.111 * [taylor]: Taking taylor expansion of 0.5 in k 5.111 * [backup-simplify]: Simplify 0.5 into 0.5 5.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.111 * [taylor]: Taking taylor expansion of 1.0 in k 5.111 * [backup-simplify]: Simplify 1.0 into 1.0 5.111 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.111 * [taylor]: Taking taylor expansion of k in k 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [backup-simplify]: Simplify (/ 1 1) into 1 5.111 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.111 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.111 * [taylor]: Taking taylor expansion of n in k 5.111 * [backup-simplify]: Simplify n into n 5.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.111 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.112 * [backup-simplify]: Simplify (- 1) into -1 5.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.112 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.112 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.112 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.113 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 5.114 * [backup-simplify]: Simplify (* (sqrt 1.0) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 5.115 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into 0 5.115 * [taylor]: Taking taylor expansion of 0 in n 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))) into 0 5.117 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 5.118 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.119 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) in n 5.119 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) in n 5.119 * [taylor]: Taking taylor expansion of +nan.0 in n 5.119 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.119 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) in n 5.119 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.119 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.119 * [taylor]: Taking taylor expansion of 0.5 in n 5.119 * [backup-simplify]: Simplify 0.5 into 0.5 5.119 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.119 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.119 * [taylor]: Taking taylor expansion of n in n 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (/ 1 1) into 1 5.119 * [backup-simplify]: Simplify (log 1) into 0 5.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.119 * [taylor]: Taking taylor expansion of 1.0 in n 5.119 * [backup-simplify]: Simplify 1.0 into 1.0 5.119 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.119 * [taylor]: Taking taylor expansion of k in n 5.119 * [backup-simplify]: Simplify k into k 5.119 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.120 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.120 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.120 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 5.120 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.120 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.120 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) in n 5.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.120 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.120 * [taylor]: Taking taylor expansion of 0.5 in n 5.120 * [backup-simplify]: Simplify 0.5 into 0.5 5.120 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.120 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.120 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.120 * [taylor]: Taking taylor expansion of 2.0 in n 5.120 * [backup-simplify]: Simplify 2.0 into 2.0 5.120 * [taylor]: Taking taylor expansion of PI in n 5.120 * [backup-simplify]: Simplify PI into PI 5.121 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.121 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [backup-simplify]: Simplify 1.0 into 1.0 5.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.121 * [taylor]: Taking taylor expansion of k in n 5.121 * [backup-simplify]: Simplify k into k 5.121 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.121 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.121 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.122 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 5.123 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.123 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.123 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.123 * [taylor]: Taking taylor expansion of 1.0 in n 5.123 * [backup-simplify]: Simplify 1.0 into 1.0 5.129 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.130 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) 5.131 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 5.132 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) 5.133 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.134 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.135 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))) into 0 5.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 5.137 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 5.139 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.141 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) in n 5.141 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) in n 5.141 * [taylor]: Taking taylor expansion of +nan.0 in n 5.141 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.141 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) in n 5.141 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.141 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.141 * [taylor]: Taking taylor expansion of 0.5 in n 5.141 * [backup-simplify]: Simplify 0.5 into 0.5 5.141 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.141 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.141 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.141 * [taylor]: Taking taylor expansion of n in n 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.141 * [backup-simplify]: Simplify (log 1) into 0 5.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.141 * [taylor]: Taking taylor expansion of 1.0 in n 5.141 * [backup-simplify]: Simplify 1.0 into 1.0 5.141 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.141 * [taylor]: Taking taylor expansion of k in n 5.141 * [backup-simplify]: Simplify k into k 5.142 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.142 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.142 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.142 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 5.142 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.142 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.142 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) in n 5.142 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.142 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.142 * [taylor]: Taking taylor expansion of 0.5 in n 5.142 * [backup-simplify]: Simplify 0.5 into 0.5 5.142 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.142 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.142 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.142 * [taylor]: Taking taylor expansion of 2.0 in n 5.142 * [backup-simplify]: Simplify 2.0 into 2.0 5.142 * [taylor]: Taking taylor expansion of PI in n 5.142 * [backup-simplify]: Simplify PI into PI 5.143 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.143 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.143 * [taylor]: Taking taylor expansion of 1.0 in n 5.143 * [backup-simplify]: Simplify 1.0 into 1.0 5.143 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.143 * [taylor]: Taking taylor expansion of k in n 5.143 * [backup-simplify]: Simplify k into k 5.143 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.143 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.144 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.144 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 5.145 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.145 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.146 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.146 * [taylor]: Taking taylor expansion of 1.0 in n 5.146 * [backup-simplify]: Simplify 1.0 into 1.0 5.146 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.147 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) 5.148 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 5.149 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) 5.150 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.151 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.152 * [backup-simplify]: Simplify (- 0) into 0 5.152 * [backup-simplify]: Simplify (+ 0 0) into 0 5.152 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.154 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 5.156 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.156 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (sqrt 1.0))) into 0 5.157 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.157 * [backup-simplify]: Simplify (- 0) into 0 5.157 * [backup-simplify]: Simplify (+ 0 0) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.158 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 5.159 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.160 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into 0 5.162 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into 0 5.162 * [backup-simplify]: Simplify (- 0) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) into 0 5.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 5.165 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))))) into 0 5.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.169 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) in n 5.169 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) in n 5.169 * [taylor]: Taking taylor expansion of +nan.0 in n 5.169 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.169 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) in n 5.169 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.169 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.169 * [taylor]: Taking taylor expansion of 0.5 in n 5.169 * [backup-simplify]: Simplify 0.5 into 0.5 5.169 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.169 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.169 * [taylor]: Taking taylor expansion of n in n 5.169 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (/ 1 1) into 1 5.170 * [backup-simplify]: Simplify (log 1) into 0 5.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.170 * [taylor]: Taking taylor expansion of 1.0 in n 5.170 * [backup-simplify]: Simplify 1.0 into 1.0 5.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.170 * [taylor]: Taking taylor expansion of k in n 5.170 * [backup-simplify]: Simplify k into k 5.170 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.170 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.170 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.171 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 5.171 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.171 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.171 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) in n 5.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.171 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.171 * [taylor]: Taking taylor expansion of 0.5 in n 5.171 * [backup-simplify]: Simplify 0.5 into 0.5 5.171 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.171 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.171 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.171 * [taylor]: Taking taylor expansion of 2.0 in n 5.171 * [backup-simplify]: Simplify 2.0 into 2.0 5.171 * [taylor]: Taking taylor expansion of PI in n 5.171 * [backup-simplify]: Simplify PI into PI 5.171 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.172 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.172 * [taylor]: Taking taylor expansion of 1.0 in n 5.172 * [backup-simplify]: Simplify 1.0 into 1.0 5.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.172 * [taylor]: Taking taylor expansion of k in n 5.172 * [backup-simplify]: Simplify k into k 5.172 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.172 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.172 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.173 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 5.173 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.174 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.174 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.174 * [taylor]: Taking taylor expansion of 1.0 in n 5.174 * [backup-simplify]: Simplify 1.0 into 1.0 5.174 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.176 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) 5.177 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 5.178 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) 5.179 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.180 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 5.184 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (sqrt 1.0))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (sqrt 1.0))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (sqrt 1.0))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k)) (- (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2)))))))) 5.185 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 (- k)))) (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) 5.185 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 5.185 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in n 5.185 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.185 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.185 * [taylor]: Taking taylor expansion of 0.5 in n 5.185 * [backup-simplify]: Simplify 0.5 into 0.5 5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.185 * [taylor]: Taking taylor expansion of k in n 5.185 * [backup-simplify]: Simplify k into k 5.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.185 * [taylor]: Taking taylor expansion of 1.0 in n 5.185 * [backup-simplify]: Simplify 1.0 into 1.0 5.185 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.185 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.185 * [taylor]: Taking taylor expansion of -1 in n 5.185 * [backup-simplify]: Simplify -1 into -1 5.185 * [taylor]: Taking taylor expansion of n in n 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.185 * [backup-simplify]: Simplify (/ -1 1) into -1 5.186 * [backup-simplify]: Simplify (log -1) into (log -1) 5.186 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.186 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.186 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.187 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 5.187 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 5.187 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in n 5.187 * [taylor]: Taking taylor expansion of (* -1.0 k) in n 5.187 * [taylor]: Taking taylor expansion of -1.0 in n 5.187 * [backup-simplify]: Simplify -1.0 into -1.0 5.187 * [taylor]: Taking taylor expansion of k in n 5.187 * [backup-simplify]: Simplify k into k 5.187 * [backup-simplify]: Simplify (* -1.0 k) into (* -1.0 k) 5.187 * [backup-simplify]: Simplify (sqrt (* -1.0 k)) into (sqrt (* -1.0 k)) 5.187 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 k)) into 0 5.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1.0 k)))) into 0 5.187 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 5.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 5.187 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.187 * [taylor]: Taking taylor expansion of 0.5 in n 5.187 * [backup-simplify]: Simplify 0.5 into 0.5 5.188 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.188 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.188 * [taylor]: Taking taylor expansion of k in n 5.188 * [backup-simplify]: Simplify k into k 5.188 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.188 * [taylor]: Taking taylor expansion of 1.0 in n 5.188 * [backup-simplify]: Simplify 1.0 into 1.0 5.188 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.188 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.188 * [taylor]: Taking taylor expansion of 2.0 in n 5.188 * [backup-simplify]: Simplify 2.0 into 2.0 5.188 * [taylor]: Taking taylor expansion of PI in n 5.188 * [backup-simplify]: Simplify PI into PI 5.188 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.189 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.189 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.189 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.189 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.190 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.190 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in k 5.190 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.190 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.190 * [taylor]: Taking taylor expansion of 0.5 in k 5.190 * [backup-simplify]: Simplify 0.5 into 0.5 5.190 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.190 * [taylor]: Taking taylor expansion of k in k 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (/ 1 1) into 1 5.190 * [taylor]: Taking taylor expansion of 1.0 in k 5.190 * [backup-simplify]: Simplify 1.0 into 1.0 5.191 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.191 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.191 * [taylor]: Taking taylor expansion of -1 in k 5.191 * [backup-simplify]: Simplify -1 into -1 5.191 * [taylor]: Taking taylor expansion of n in k 5.191 * [backup-simplify]: Simplify n into n 5.191 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.191 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.191 * [backup-simplify]: Simplify (+ 1 0) into 1 5.191 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.191 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.191 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.191 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.191 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 5.191 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 5.191 * [taylor]: Taking taylor expansion of -1.0 in k 5.191 * [backup-simplify]: Simplify -1.0 into -1.0 5.191 * [taylor]: Taking taylor expansion of k in k 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (* -1.0 0) into 0 5.192 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 5.193 * [backup-simplify]: Simplify (sqrt 0) into 0 5.194 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 5.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.194 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.194 * [taylor]: Taking taylor expansion of 0.5 in k 5.194 * [backup-simplify]: Simplify 0.5 into 0.5 5.194 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.194 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.194 * [taylor]: Taking taylor expansion of k in k 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [backup-simplify]: Simplify (/ 1 1) into 1 5.194 * [taylor]: Taking taylor expansion of 1.0 in k 5.194 * [backup-simplify]: Simplify 1.0 into 1.0 5.194 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.194 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.194 * [taylor]: Taking taylor expansion of 2.0 in k 5.194 * [backup-simplify]: Simplify 2.0 into 2.0 5.194 * [taylor]: Taking taylor expansion of PI in k 5.194 * [backup-simplify]: Simplify PI into PI 5.195 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.197 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.197 * [backup-simplify]: Simplify (+ 1 0) into 1 5.197 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.198 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.199 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.199 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in k 5.199 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.199 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.199 * [taylor]: Taking taylor expansion of 0.5 in k 5.199 * [backup-simplify]: Simplify 0.5 into 0.5 5.199 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.199 * [taylor]: Taking taylor expansion of k in k 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (/ 1 1) into 1 5.199 * [taylor]: Taking taylor expansion of 1.0 in k 5.199 * [backup-simplify]: Simplify 1.0 into 1.0 5.199 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.199 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.199 * [taylor]: Taking taylor expansion of -1 in k 5.199 * [backup-simplify]: Simplify -1 into -1 5.199 * [taylor]: Taking taylor expansion of n in k 5.199 * [backup-simplify]: Simplify n into n 5.199 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.199 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.200 * [backup-simplify]: Simplify (+ 1 0) into 1 5.200 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.200 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.200 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.200 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.200 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 5.200 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 5.200 * [taylor]: Taking taylor expansion of -1.0 in k 5.200 * [backup-simplify]: Simplify -1.0 into -1.0 5.200 * [taylor]: Taking taylor expansion of k in k 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (* -1.0 0) into 0 5.201 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 5.201 * [backup-simplify]: Simplify (sqrt 0) into 0 5.202 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 5.202 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.202 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.202 * [taylor]: Taking taylor expansion of 0.5 in k 5.203 * [backup-simplify]: Simplify 0.5 into 0.5 5.203 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.203 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.203 * [taylor]: Taking taylor expansion of k in k 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 1 into 1 5.203 * [backup-simplify]: Simplify (/ 1 1) into 1 5.203 * [taylor]: Taking taylor expansion of 1.0 in k 5.203 * [backup-simplify]: Simplify 1.0 into 1.0 5.203 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.203 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.203 * [taylor]: Taking taylor expansion of 2.0 in k 5.203 * [backup-simplify]: Simplify 2.0 into 2.0 5.203 * [taylor]: Taking taylor expansion of PI in k 5.203 * [backup-simplify]: Simplify PI into PI 5.203 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.204 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.204 * [backup-simplify]: Simplify (+ 1 0) into 1 5.204 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.205 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.206 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.207 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 5.207 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) into 0 5.207 * [taylor]: Taking taylor expansion of 0 in n 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 5.209 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 5.209 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 5.209 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 5.209 * [taylor]: Taking taylor expansion of +nan.0 in n 5.209 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.209 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.209 * [taylor]: Taking taylor expansion of 0.5 in n 5.209 * [backup-simplify]: Simplify 0.5 into 0.5 5.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.209 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.209 * [taylor]: Taking taylor expansion of k in n 5.209 * [backup-simplify]: Simplify k into k 5.209 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.209 * [taylor]: Taking taylor expansion of 1.0 in n 5.209 * [backup-simplify]: Simplify 1.0 into 1.0 5.209 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.209 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.209 * [taylor]: Taking taylor expansion of -1 in n 5.209 * [backup-simplify]: Simplify -1 into -1 5.209 * [taylor]: Taking taylor expansion of n in n 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (/ -1 1) into -1 5.210 * [backup-simplify]: Simplify (log -1) into (log -1) 5.210 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.211 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 5.211 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.211 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 5.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.211 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.211 * [taylor]: Taking taylor expansion of 0.5 in n 5.211 * [backup-simplify]: Simplify 0.5 into 0.5 5.211 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.211 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.211 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.211 * [taylor]: Taking taylor expansion of 2.0 in n 5.211 * [backup-simplify]: Simplify 2.0 into 2.0 5.211 * [taylor]: Taking taylor expansion of PI in n 5.211 * [backup-simplify]: Simplify PI into PI 5.212 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.212 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.212 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.212 * [taylor]: Taking taylor expansion of k in n 5.212 * [backup-simplify]: Simplify k into k 5.212 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.212 * [taylor]: Taking taylor expansion of 1.0 in n 5.212 * [backup-simplify]: Simplify 1.0 into 1.0 5.213 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.213 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 5.214 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.214 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.215 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 5.216 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 5.218 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 5.219 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.221 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 5.230 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 5.230 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 5.230 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 5.230 * [taylor]: Taking taylor expansion of +nan.0 in n 5.230 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.230 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.230 * [taylor]: Taking taylor expansion of 0.5 in n 5.231 * [backup-simplify]: Simplify 0.5 into 0.5 5.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.231 * [taylor]: Taking taylor expansion of k in n 5.231 * [backup-simplify]: Simplify k into k 5.231 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.231 * [taylor]: Taking taylor expansion of 1.0 in n 5.231 * [backup-simplify]: Simplify 1.0 into 1.0 5.231 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.231 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.231 * [taylor]: Taking taylor expansion of -1 in n 5.231 * [backup-simplify]: Simplify -1 into -1 5.231 * [taylor]: Taking taylor expansion of n in n 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (/ -1 1) into -1 5.231 * [backup-simplify]: Simplify (log -1) into (log -1) 5.231 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.232 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 5.232 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.233 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 5.233 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.233 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.233 * [taylor]: Taking taylor expansion of 0.5 in n 5.233 * [backup-simplify]: Simplify 0.5 into 0.5 5.233 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.233 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.233 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.233 * [taylor]: Taking taylor expansion of 2.0 in n 5.233 * [backup-simplify]: Simplify 2.0 into 2.0 5.233 * [taylor]: Taking taylor expansion of PI in n 5.233 * [backup-simplify]: Simplify PI into PI 5.233 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.234 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.234 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.234 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.234 * [taylor]: Taking taylor expansion of k in n 5.234 * [backup-simplify]: Simplify k into k 5.234 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.234 * [taylor]: Taking taylor expansion of 1.0 in n 5.234 * [backup-simplify]: Simplify 1.0 into 1.0 5.234 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.235 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 5.236 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.236 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.237 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 5.238 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 5.239 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 5.240 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 5.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.241 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.243 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 5.245 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.246 * [backup-simplify]: Simplify (+ 0 0) into 0 5.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.247 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 5.247 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 5.248 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.249 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 5.250 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 5.257 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 5.257 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 5.257 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 5.257 * [taylor]: Taking taylor expansion of +nan.0 in n 5.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.258 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.258 * [taylor]: Taking taylor expansion of 0.5 in n 5.258 * [backup-simplify]: Simplify 0.5 into 0.5 5.258 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.258 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.258 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.258 * [taylor]: Taking taylor expansion of k in n 5.258 * [backup-simplify]: Simplify k into k 5.258 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.258 * [taylor]: Taking taylor expansion of 1.0 in n 5.258 * [backup-simplify]: Simplify 1.0 into 1.0 5.258 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.258 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.258 * [taylor]: Taking taylor expansion of -1 in n 5.258 * [backup-simplify]: Simplify -1 into -1 5.258 * [taylor]: Taking taylor expansion of n in n 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (/ -1 1) into -1 5.258 * [backup-simplify]: Simplify (log -1) into (log -1) 5.258 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.259 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 5.260 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.260 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 5.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.260 * [taylor]: Taking taylor expansion of 0.5 in n 5.260 * [backup-simplify]: Simplify 0.5 into 0.5 5.260 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.260 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.260 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.260 * [taylor]: Taking taylor expansion of 2.0 in n 5.260 * [backup-simplify]: Simplify 2.0 into 2.0 5.260 * [taylor]: Taking taylor expansion of PI in n 5.260 * [backup-simplify]: Simplify PI into PI 5.260 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.261 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.261 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.261 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.261 * [taylor]: Taking taylor expansion of k in n 5.261 * [backup-simplify]: Simplify k into k 5.261 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.261 * [taylor]: Taking taylor expansion of 1.0 in n 5.261 * [backup-simplify]: Simplify 1.0 into 1.0 5.261 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.262 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 5.262 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.263 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.264 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 5.265 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 5.266 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 5.267 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 5.271 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k))))))) 5.271 * * * [progress]: simplifying candidates 5.274 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 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n))))))) k)) (- (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k))))))) 5.275 * [simplify]: Sending expressions to egg_math: (expm1 (pow h3 (/ (- h2 h1) h0))) (log1p (pow h3 (/ (- h2 h1) h0))) (* (log h3) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow h3 (/ h2 h0)) (pow h3 (/ h1 h0)) (pow h3 (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow h3 (sqrt (/ (- h2 h1) h0))) (pow h3 (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow h3 (/ (* (cbrt (- h2 h1)) 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h0) (log h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0)))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0)))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0)))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (* (log h3) (/ (- h2 h1) h0))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (* (log h3) (/ (- h2 h1) h0))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (log (pow h3 (/ (- h2 h1) h0)))) (log (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (exp (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) 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h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* h1 (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5) (sqrt h2))) (- (+ (* h9 (* (* (pow h1 2) (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5) (* (sqrt h2) (* (pow h1 2) (* (log (* h0 h4)) (log h3)))))) (- (+ (* h9 (* (* h1 (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* h1 (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (* h9 (* (* (pow h1 2) (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)))))))))))))))))))))) (- (+ (* h9 (/ (* (sqrt h2) (* (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) (pow h1 3))) (- (+ (* h9 (/ (* (sqrt h2) (* (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) h1)) (- (* h9 (/ (* (sqrt h2) (* (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) (pow h1 2)))))))) (- (+ (* h9 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4)))))) (pow h1 2))) (- (+ (* h9 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4)))))) (pow h1 3))) (- (* h9 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4)))))) h1))))))) 5.285 * * [simplify]: iteration 0 : 1034 enodes (cost 1864 ) 5.302 * * [simplify]: iteration 1 : 4155 enodes (cost 1727 ) 5.368 * * [simplify]: iteration 2 : 5001 enodes (cost 1718 ) 5.375 * * * [progress]: adding candidates to table 5.918 * [progress]: [Phase 3 of 3] Extracting. 5.918 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 5.921 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.921 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 5.966 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 5.999 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # #) 6.048 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 6.092 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 6.137 * * * [regime]: Found split indices: #