32.757 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.212 * * * [progress]: [2/2] Setting up program. 0.221 * [progress]: [Phase 2 of 3] Improving. 0.221 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.222 * [simplify]: Sending expressions to egg_math: (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) 2.192 * * [progress]: iteration 1 / 4 2.192 * * * [progress]: picking best candidate 2.196 * * * * [pick]: Picked # 2.196 * * * [progress]: localizing error 2.228 * * * [progress]: generating rewritten candidates 2.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.252 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.296 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.355 * * * [progress]: generating series expansions 2.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.356 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.356 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.356 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.356 * [taylor]: Taking taylor expansion of 0.5 in k 2.356 * [backup-simplify]: Simplify 0.5 into 0.5 2.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.356 * [taylor]: Taking taylor expansion of 1.0 in k 2.356 * [backup-simplify]: Simplify 1.0 into 1.0 2.356 * [taylor]: Taking taylor expansion of k in k 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.356 * [taylor]: Taking taylor expansion of 2.0 in k 2.356 * [backup-simplify]: Simplify 2.0 into 2.0 2.356 * [taylor]: Taking taylor expansion of (* n PI) in k 2.356 * [taylor]: Taking taylor expansion of n in k 2.356 * [backup-simplify]: Simplify n into n 2.356 * [taylor]: Taking taylor expansion of PI in k 2.356 * [backup-simplify]: Simplify PI into PI 2.356 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.357 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.357 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.357 * [backup-simplify]: Simplify (- 0) into 0 2.357 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.357 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.358 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.358 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.358 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.358 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.358 * [taylor]: Taking taylor expansion of 0.5 in n 2.358 * [backup-simplify]: Simplify 0.5 into 0.5 2.358 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.358 * [taylor]: Taking taylor expansion of 1.0 in n 2.358 * [backup-simplify]: Simplify 1.0 into 1.0 2.358 * [taylor]: Taking taylor expansion of k in n 2.358 * [backup-simplify]: Simplify k into k 2.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.358 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.358 * [taylor]: Taking taylor expansion of 2.0 in n 2.358 * [backup-simplify]: Simplify 2.0 into 2.0 2.358 * [taylor]: Taking taylor expansion of (* n PI) in n 2.358 * [taylor]: Taking taylor expansion of n in n 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [taylor]: Taking taylor expansion of PI in n 2.358 * [backup-simplify]: Simplify PI into PI 2.358 * [backup-simplify]: Simplify (* 0 PI) into 0 2.359 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.360 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.361 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.361 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.361 * [backup-simplify]: Simplify (- k) into (- k) 2.362 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.362 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.363 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.363 * [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)))) 2.364 * [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))))) 2.364 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.364 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.364 * [taylor]: Taking taylor expansion of 0.5 in n 2.364 * [backup-simplify]: Simplify 0.5 into 0.5 2.364 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.364 * [taylor]: Taking taylor expansion of 1.0 in n 2.364 * [backup-simplify]: Simplify 1.0 into 1.0 2.364 * [taylor]: Taking taylor expansion of k in n 2.364 * [backup-simplify]: Simplify k into k 2.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.364 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.364 * [taylor]: Taking taylor expansion of 2.0 in n 2.364 * [backup-simplify]: Simplify 2.0 into 2.0 2.364 * [taylor]: Taking taylor expansion of (* n PI) in n 2.364 * [taylor]: Taking taylor expansion of n in n 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 1 into 1 2.364 * [taylor]: Taking taylor expansion of PI in n 2.364 * [backup-simplify]: Simplify PI into PI 2.365 * [backup-simplify]: Simplify (* 0 PI) into 0 2.365 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.367 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.368 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.368 * [backup-simplify]: Simplify (- k) into (- k) 2.368 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.368 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.369 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.370 * [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)))) 2.371 * [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))))) 2.371 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.371 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.375 * [taylor]: Taking taylor expansion of 0.5 in k 2.375 * [backup-simplify]: Simplify 0.5 into 0.5 2.375 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.375 * [taylor]: Taking taylor expansion of 1.0 in k 2.375 * [backup-simplify]: Simplify 1.0 into 1.0 2.375 * [taylor]: Taking taylor expansion of k in k 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.375 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.375 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.375 * [taylor]: Taking taylor expansion of 2.0 in k 2.375 * [backup-simplify]: Simplify 2.0 into 2.0 2.375 * [taylor]: Taking taylor expansion of PI in k 2.375 * [backup-simplify]: Simplify PI into PI 2.376 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.376 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.376 * [taylor]: Taking taylor expansion of (log n) in k 2.377 * [taylor]: Taking taylor expansion of n in k 2.377 * [backup-simplify]: Simplify n into n 2.377 * [backup-simplify]: Simplify (log n) into (log n) 2.377 * [backup-simplify]: Simplify (- 0) into 0 2.377 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.378 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.379 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.379 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.380 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.381 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.383 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.385 * [backup-simplify]: Simplify (- 0) into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.386 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.387 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.389 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.391 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.391 * [taylor]: Taking taylor expansion of 0 in k 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.395 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (- 1) into -1 2.395 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.397 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.399 * [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)))) 2.402 * [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)))))) 2.406 * [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)))))) 2.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.408 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.410 * [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 2.410 * [backup-simplify]: Simplify (- 0) into 0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.412 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.412 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.413 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.415 * [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 2.415 * [taylor]: Taking taylor expansion of 0 in k 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.417 * [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 2.418 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.419 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify (- 0) into 0 2.419 * [backup-simplify]: Simplify (+ 0 0) into 0 2.420 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.424 * [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)))))) 2.427 * [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)))))) 2.433 * [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)))))) 2.434 * [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)))) 2.434 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.434 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.434 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.434 * [taylor]: Taking taylor expansion of 0.5 in k 2.434 * [backup-simplify]: Simplify 0.5 into 0.5 2.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.434 * [taylor]: Taking taylor expansion of 1.0 in k 2.434 * [backup-simplify]: Simplify 1.0 into 1.0 2.434 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.434 * [taylor]: Taking taylor expansion of k in k 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.434 * [taylor]: Taking taylor expansion of 2.0 in k 2.435 * [backup-simplify]: Simplify 2.0 into 2.0 2.435 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.435 * [taylor]: Taking taylor expansion of PI in k 2.435 * [backup-simplify]: Simplify PI into PI 2.435 * [taylor]: Taking taylor expansion of n in k 2.435 * [backup-simplify]: Simplify n into n 2.435 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.435 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.435 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.435 * [backup-simplify]: Simplify (- 1) into -1 2.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.436 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.436 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.436 * [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))))) 2.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.436 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.436 * [taylor]: Taking taylor expansion of 0.5 in n 2.436 * [backup-simplify]: Simplify 0.5 into 0.5 2.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.436 * [taylor]: Taking taylor expansion of 1.0 in n 2.436 * [backup-simplify]: Simplify 1.0 into 1.0 2.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.436 * [taylor]: Taking taylor expansion of k in n 2.436 * [backup-simplify]: Simplify k into k 2.436 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.436 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.436 * [taylor]: Taking taylor expansion of 2.0 in n 2.436 * [backup-simplify]: Simplify 2.0 into 2.0 2.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.436 * [taylor]: Taking taylor expansion of PI in n 2.436 * [backup-simplify]: Simplify PI into PI 2.436 * [taylor]: Taking taylor expansion of n in n 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ PI 1) into PI 2.437 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.438 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.438 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.438 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.438 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.441 * [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)))) 2.442 * [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))))) 2.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.442 * [taylor]: Taking taylor expansion of 0.5 in n 2.442 * [backup-simplify]: Simplify 0.5 into 0.5 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.442 * [taylor]: Taking taylor expansion of 1.0 in n 2.442 * [backup-simplify]: Simplify 1.0 into 1.0 2.442 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.442 * [taylor]: Taking taylor expansion of k in n 2.442 * [backup-simplify]: Simplify k into k 2.442 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [backup-simplify]: Simplify 2.0 into 2.0 2.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.443 * [backup-simplify]: Simplify PI into PI 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (/ PI 1) into PI 2.444 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.445 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.445 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.445 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.445 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.448 * [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)))) 2.449 * [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))))) 2.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.449 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.449 * [taylor]: Taking taylor expansion of 0.5 in k 2.449 * [backup-simplify]: Simplify 0.5 into 0.5 2.449 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.449 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.449 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.449 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.450 * [taylor]: Taking taylor expansion of 2.0 in k 2.450 * [backup-simplify]: Simplify 2.0 into 2.0 2.450 * [taylor]: Taking taylor expansion of PI in k 2.450 * [backup-simplify]: Simplify PI into PI 2.450 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.451 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.451 * [taylor]: Taking taylor expansion of (log n) in k 2.451 * [taylor]: Taking taylor expansion of n in k 2.451 * [backup-simplify]: Simplify n into n 2.452 * [backup-simplify]: Simplify (log n) into (log n) 2.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.452 * [taylor]: Taking taylor expansion of 1.0 in k 2.452 * [backup-simplify]: Simplify 1.0 into 1.0 2.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.452 * [taylor]: Taking taylor expansion of k in k 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.453 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.454 * [backup-simplify]: Simplify (- 1) into -1 2.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.455 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.457 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.458 * [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))))) 2.460 * [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))))) 2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.464 * [backup-simplify]: Simplify (- 0) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.466 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.467 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.469 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.469 * [taylor]: Taking taylor expansion of 0 in k 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.475 * [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 2.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.476 * [backup-simplify]: Simplify (- 0) into 0 2.476 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.478 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.480 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.482 * [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 2.482 * [taylor]: Taking taylor expansion of 0 in k 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.491 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 2.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.491 * [backup-simplify]: Simplify (- 0) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.493 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.494 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.499 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.499 * [taylor]: Taking taylor expansion of 0 in k 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2.501 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 2.501 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.501 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.501 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.501 * [taylor]: Taking taylor expansion of 0.5 in k 2.501 * [backup-simplify]: Simplify 0.5 into 0.5 2.501 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.501 * [taylor]: Taking taylor expansion of k in k 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (/ 1 1) into 1 2.501 * [taylor]: Taking taylor expansion of 1.0 in k 2.501 * [backup-simplify]: Simplify 1.0 into 1.0 2.501 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.501 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.501 * [taylor]: Taking taylor expansion of -2.0 in k 2.501 * [backup-simplify]: Simplify -2.0 into -2.0 2.501 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.501 * [taylor]: Taking taylor expansion of PI in k 2.501 * [backup-simplify]: Simplify PI into PI 2.501 * [taylor]: Taking taylor expansion of n in k 2.501 * [backup-simplify]: Simplify n into n 2.501 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.502 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.502 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.502 * [backup-simplify]: Simplify (+ 1 0) into 1 2.502 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.502 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.502 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.502 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.502 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.502 * [taylor]: Taking taylor expansion of 0.5 in n 2.502 * [backup-simplify]: Simplify 0.5 into 0.5 2.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.503 * [taylor]: Taking taylor expansion of k in n 2.503 * [backup-simplify]: Simplify k into k 2.503 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [backup-simplify]: Simplify 1.0 into 1.0 2.503 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.503 * [taylor]: Taking taylor expansion of -2.0 in n 2.503 * [backup-simplify]: Simplify -2.0 into -2.0 2.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.503 * [taylor]: Taking taylor expansion of PI in n 2.503 * [backup-simplify]: Simplify PI into PI 2.503 * [taylor]: Taking taylor expansion of n in n 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.503 * [backup-simplify]: Simplify (/ PI 1) into PI 2.503 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.504 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.504 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.504 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.506 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.506 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.506 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.507 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.507 * [taylor]: Taking taylor expansion of 0.5 in n 2.507 * [backup-simplify]: Simplify 0.5 into 0.5 2.507 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.507 * [taylor]: Taking taylor expansion of k in n 2.507 * [backup-simplify]: Simplify k into k 2.507 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.507 * [taylor]: Taking taylor expansion of 1.0 in n 2.507 * [backup-simplify]: Simplify 1.0 into 1.0 2.507 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.507 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.507 * [taylor]: Taking taylor expansion of -2.0 in n 2.507 * [backup-simplify]: Simplify -2.0 into -2.0 2.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.507 * [taylor]: Taking taylor expansion of PI in n 2.507 * [backup-simplify]: Simplify PI into PI 2.507 * [taylor]: Taking taylor expansion of n in n 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (/ PI 1) into PI 2.507 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.508 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.508 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.508 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.510 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.510 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.511 * [taylor]: Taking taylor expansion of 0.5 in k 2.511 * [backup-simplify]: Simplify 0.5 into 0.5 2.511 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.511 * [taylor]: Taking taylor expansion of k in k 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (/ 1 1) into 1 2.511 * [taylor]: Taking taylor expansion of 1.0 in k 2.511 * [backup-simplify]: Simplify 1.0 into 1.0 2.511 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.511 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.511 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.511 * [taylor]: Taking taylor expansion of -2.0 in k 2.511 * [backup-simplify]: Simplify -2.0 into -2.0 2.511 * [taylor]: Taking taylor expansion of PI in k 2.511 * [backup-simplify]: Simplify PI into PI 2.512 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.512 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.512 * [taylor]: Taking taylor expansion of (log n) in k 2.512 * [taylor]: Taking taylor expansion of n in k 2.512 * [backup-simplify]: Simplify n into n 2.512 * [backup-simplify]: Simplify (log n) into (log n) 2.513 * [backup-simplify]: Simplify (+ 1 0) into 1 2.513 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.513 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.514 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.515 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.515 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.516 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.523 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.525 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.525 * [taylor]: Taking taylor expansion of 0 in k 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.531 * [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 2.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.535 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.537 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.537 * [taylor]: Taking taylor expansion of 0 in k 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.545 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 2.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.551 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.553 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.553 * [taylor]: Taking taylor expansion of 0 in k 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.555 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.555 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.555 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.555 * [taylor]: Taking taylor expansion of 2.0 in n 2.555 * [backup-simplify]: Simplify 2.0 into 2.0 2.556 * [taylor]: Taking taylor expansion of (* n PI) in n 2.556 * [taylor]: Taking taylor expansion of n in n 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of PI in n 2.556 * [backup-simplify]: Simplify PI into PI 2.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.556 * [taylor]: Taking taylor expansion of 2.0 in n 2.556 * [backup-simplify]: Simplify 2.0 into 2.0 2.556 * [taylor]: Taking taylor expansion of (* n PI) in n 2.556 * [taylor]: Taking taylor expansion of n in n 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of PI in n 2.556 * [backup-simplify]: Simplify PI into PI 2.556 * [backup-simplify]: Simplify (* 0 PI) into 0 2.557 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.560 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.560 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.562 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.562 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.565 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.567 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.570 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.577 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.579 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.579 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.579 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.579 * [taylor]: Taking taylor expansion of 2.0 in n 2.579 * [backup-simplify]: Simplify 2.0 into 2.0 2.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.579 * [taylor]: Taking taylor expansion of PI in n 2.579 * [backup-simplify]: Simplify PI into PI 2.579 * [taylor]: Taking taylor expansion of n in n 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ PI 1) into PI 2.579 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.579 * [taylor]: Taking taylor expansion of 2.0 in n 2.579 * [backup-simplify]: Simplify 2.0 into 2.0 2.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.579 * [taylor]: Taking taylor expansion of PI in n 2.579 * [backup-simplify]: Simplify PI into PI 2.580 * [taylor]: Taking taylor expansion of n in n 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (/ PI 1) into PI 2.581 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.581 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.596 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.596 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.596 * [taylor]: Taking taylor expansion of -2.0 in n 2.596 * [backup-simplify]: Simplify -2.0 into -2.0 2.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.596 * [taylor]: Taking taylor expansion of PI in n 2.596 * [backup-simplify]: Simplify PI into PI 2.596 * [taylor]: Taking taylor expansion of n in n 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (/ PI 1) into PI 2.597 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.597 * [taylor]: Taking taylor expansion of -2.0 in n 2.597 * [backup-simplify]: Simplify -2.0 into -2.0 2.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.597 * [taylor]: Taking taylor expansion of PI in n 2.597 * [backup-simplify]: Simplify PI into PI 2.597 * [taylor]: Taking taylor expansion of n in n 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (/ PI 1) into PI 2.598 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.598 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.602 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.609 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.612 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.613 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.613 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.613 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.613 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.613 * [taylor]: Taking taylor expansion of 1.0 in k 2.613 * [backup-simplify]: Simplify 1.0 into 1.0 2.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.613 * [taylor]: Taking taylor expansion of k in k 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (/ 1 1) into 1 2.614 * [backup-simplify]: Simplify (sqrt 0) into 0 2.615 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.615 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.615 * [taylor]: Taking taylor expansion of 1.0 in k 2.615 * [backup-simplify]: Simplify 1.0 into 1.0 2.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.615 * [taylor]: Taking taylor expansion of k in k 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.616 * [backup-simplify]: Simplify (/ 1 1) into 1 2.616 * [backup-simplify]: Simplify (sqrt 0) into 0 2.617 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.618 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.620 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.625 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.625 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.637 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.637 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.639 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.639 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.639 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.639 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.639 * [taylor]: Taking taylor expansion of 1.0 in k 2.639 * [backup-simplify]: Simplify 1.0 into 1.0 2.639 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.639 * [taylor]: Taking taylor expansion of k in k 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [backup-simplify]: Simplify (sqrt 0) into 0 2.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.641 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.641 * [taylor]: Taking taylor expansion of 1.0 in k 2.641 * [backup-simplify]: Simplify 1.0 into 1.0 2.641 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.641 * [taylor]: Taking taylor expansion of k in k 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 1 into 1 2.641 * [backup-simplify]: Simplify (sqrt 0) into 0 2.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.643 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.643 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.645 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.648 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.650 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.650 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.655 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.655 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.656 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 2.656 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.656 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.656 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.656 * [taylor]: Taking taylor expansion of 1.0 in k 2.656 * [backup-simplify]: Simplify 1.0 into 1.0 2.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.656 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.656 * [taylor]: Taking taylor expansion of -1 in k 2.656 * [backup-simplify]: Simplify -1 into -1 2.656 * [taylor]: Taking taylor expansion of k in k 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (/ -1 1) into -1 2.657 * [backup-simplify]: Simplify (sqrt 0) into 0 2.657 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.658 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.658 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.658 * [taylor]: Taking taylor expansion of 1.0 in k 2.658 * [backup-simplify]: Simplify 1.0 into 1.0 2.658 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.658 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.658 * [taylor]: Taking taylor expansion of -1 in k 2.658 * [backup-simplify]: Simplify -1 into -1 2.658 * [taylor]: Taking taylor expansion of k in k 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (/ -1 1) into -1 2.658 * [backup-simplify]: Simplify (sqrt 0) into 0 2.659 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.659 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.659 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.663 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.663 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.668 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.669 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.669 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.669 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.670 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 2.670 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.670 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.670 * [taylor]: Taking taylor expansion of 1.0 in n 2.670 * [backup-simplify]: Simplify 1.0 into 1.0 2.670 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.670 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.670 * [taylor]: Taking taylor expansion of k in n 2.670 * [backup-simplify]: Simplify k into k 2.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.670 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.670 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.670 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.670 * [taylor]: Taking taylor expansion of 0.5 in n 2.670 * [backup-simplify]: Simplify 0.5 into 0.5 2.670 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.670 * [taylor]: Taking taylor expansion of 1.0 in n 2.670 * [backup-simplify]: Simplify 1.0 into 1.0 2.670 * [taylor]: Taking taylor expansion of k in n 2.670 * [backup-simplify]: Simplify k into k 2.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.670 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.671 * [taylor]: Taking taylor expansion of 2.0 in n 2.671 * [backup-simplify]: Simplify 2.0 into 2.0 2.671 * [taylor]: Taking taylor expansion of (* n PI) in n 2.671 * [taylor]: Taking taylor expansion of n in n 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [taylor]: Taking taylor expansion of PI in n 2.671 * [backup-simplify]: Simplify PI into PI 2.671 * [backup-simplify]: Simplify (* 0 PI) into 0 2.671 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.673 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.674 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.674 * [backup-simplify]: Simplify (- k) into (- k) 2.674 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.674 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.676 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.677 * [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)))) 2.678 * [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))))) 2.678 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.678 * [taylor]: Taking taylor expansion of 1.0 in k 2.678 * [backup-simplify]: Simplify 1.0 into 1.0 2.678 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.678 * [taylor]: Taking taylor expansion of k in k 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (/ 1 1) into 1 2.679 * [backup-simplify]: Simplify (sqrt 0) into 0 2.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.680 * [taylor]: Taking taylor expansion of 0.5 in k 2.680 * [backup-simplify]: Simplify 0.5 into 0.5 2.680 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.680 * [taylor]: Taking taylor expansion of 1.0 in k 2.680 * [backup-simplify]: Simplify 1.0 into 1.0 2.680 * [taylor]: Taking taylor expansion of k in k 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.680 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.680 * [taylor]: Taking taylor expansion of 2.0 in k 2.681 * [backup-simplify]: Simplify 2.0 into 2.0 2.681 * [taylor]: Taking taylor expansion of (* n PI) in k 2.681 * [taylor]: Taking taylor expansion of n in k 2.681 * [backup-simplify]: Simplify n into n 2.681 * [taylor]: Taking taylor expansion of PI in k 2.681 * [backup-simplify]: Simplify PI into PI 2.681 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.681 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.681 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.681 * [backup-simplify]: Simplify (- 0) into 0 2.682 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.682 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.682 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.682 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.682 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.682 * [taylor]: Taking taylor expansion of 1.0 in k 2.682 * [backup-simplify]: Simplify 1.0 into 1.0 2.682 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.683 * [taylor]: Taking taylor expansion of k in k 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (/ 1 1) into 1 2.683 * [backup-simplify]: Simplify (sqrt 0) into 0 2.685 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.685 * [taylor]: Taking taylor expansion of 0.5 in k 2.685 * [backup-simplify]: Simplify 0.5 into 0.5 2.685 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.685 * [taylor]: Taking taylor expansion of 1.0 in k 2.685 * [backup-simplify]: Simplify 1.0 into 1.0 2.685 * [taylor]: Taking taylor expansion of k in k 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.685 * [taylor]: Taking taylor expansion of 2.0 in k 2.685 * [backup-simplify]: Simplify 2.0 into 2.0 2.685 * [taylor]: Taking taylor expansion of (* n PI) in k 2.685 * [taylor]: Taking taylor expansion of n in k 2.685 * [backup-simplify]: Simplify n into n 2.685 * [taylor]: Taking taylor expansion of PI in k 2.685 * [backup-simplify]: Simplify PI into PI 2.685 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.685 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.685 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.686 * [backup-simplify]: Simplify (- 0) into 0 2.686 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.686 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.687 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.687 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.687 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.687 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.688 * [taylor]: Taking taylor expansion of 0 in n 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.689 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.690 * [backup-simplify]: Simplify (- 1) into -1 2.690 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.692 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.692 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.693 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.695 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.696 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.697 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.697 * [taylor]: Taking taylor expansion of +nan.0 in n 2.697 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.697 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.697 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.697 * [taylor]: Taking taylor expansion of 0.5 in n 2.697 * [backup-simplify]: Simplify 0.5 into 0.5 2.697 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.697 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.697 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.697 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.697 * [taylor]: Taking taylor expansion of 1.0 in n 2.697 * [backup-simplify]: Simplify 1.0 into 1.0 2.697 * [taylor]: Taking taylor expansion of (log PI) in n 2.697 * [taylor]: Taking taylor expansion of PI in n 2.697 * [backup-simplify]: Simplify PI into PI 2.697 * [backup-simplify]: Simplify (log PI) into (log PI) 2.698 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.700 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.700 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.700 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.700 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.700 * [taylor]: Taking taylor expansion of 1.0 in n 2.700 * [backup-simplify]: Simplify 1.0 into 1.0 2.700 * [taylor]: Taking taylor expansion of (log n) in n 2.700 * [taylor]: Taking taylor expansion of n in n 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.701 * [backup-simplify]: Simplify (log 1) into 0 2.701 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.701 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.701 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.701 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.701 * [taylor]: Taking taylor expansion of 1.0 in n 2.701 * [backup-simplify]: Simplify 1.0 into 1.0 2.701 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.701 * [taylor]: Taking taylor expansion of 2.0 in n 2.701 * [backup-simplify]: Simplify 2.0 into 2.0 2.702 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.702 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.704 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.704 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.706 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.707 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.708 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.709 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.711 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.712 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.714 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.715 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.719 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.723 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.726 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.726 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.727 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.727 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.727 * [taylor]: Taking taylor expansion of +nan.0 in n 2.727 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.727 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.727 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.727 * [taylor]: Taking taylor expansion of 0.5 in n 2.727 * [backup-simplify]: Simplify 0.5 into 0.5 2.727 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.727 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.727 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.727 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.727 * [taylor]: Taking taylor expansion of 1.0 in n 2.727 * [backup-simplify]: Simplify 1.0 into 1.0 2.727 * [taylor]: Taking taylor expansion of (log PI) in n 2.727 * [taylor]: Taking taylor expansion of PI in n 2.727 * [backup-simplify]: Simplify PI into PI 2.727 * [backup-simplify]: Simplify (log PI) into (log PI) 2.728 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.729 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.729 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.729 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.729 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.729 * [taylor]: Taking taylor expansion of 1.0 in n 2.729 * [backup-simplify]: Simplify 1.0 into 1.0 2.729 * [taylor]: Taking taylor expansion of (log n) in n 2.729 * [taylor]: Taking taylor expansion of n in n 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (log 1) into 0 2.729 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.729 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.729 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.729 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.729 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.730 * [taylor]: Taking taylor expansion of 1.0 in n 2.730 * [backup-simplify]: Simplify 1.0 into 1.0 2.730 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.730 * [taylor]: Taking taylor expansion of 2.0 in n 2.730 * [backup-simplify]: Simplify 2.0 into 2.0 2.730 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.730 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.731 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.732 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.732 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.733 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.734 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.735 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.735 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.735 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.735 * [taylor]: Taking taylor expansion of +nan.0 in n 2.735 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.735 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.735 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.735 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.735 * [taylor]: Taking taylor expansion of 0.5 in n 2.735 * [backup-simplify]: Simplify 0.5 into 0.5 2.735 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.735 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.735 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.735 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.735 * [taylor]: Taking taylor expansion of 1.0 in n 2.735 * [backup-simplify]: Simplify 1.0 into 1.0 2.735 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.735 * [taylor]: Taking taylor expansion of 2.0 in n 2.735 * [backup-simplify]: Simplify 2.0 into 2.0 2.736 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.736 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.737 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.737 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.737 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.737 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.737 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.737 * [taylor]: Taking taylor expansion of 1.0 in n 2.737 * [backup-simplify]: Simplify 1.0 into 1.0 2.737 * [taylor]: Taking taylor expansion of (log PI) in n 2.737 * [taylor]: Taking taylor expansion of PI in n 2.737 * [backup-simplify]: Simplify PI into PI 2.738 * [backup-simplify]: Simplify (log PI) into (log PI) 2.738 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.739 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.739 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.739 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.739 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.739 * [taylor]: Taking taylor expansion of 1.0 in n 2.739 * [backup-simplify]: Simplify 1.0 into 1.0 2.739 * [taylor]: Taking taylor expansion of (log n) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (log 1) into 0 2.740 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.740 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.740 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.740 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.741 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.742 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.743 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.744 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.744 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.744 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.744 * [taylor]: Taking taylor expansion of 2.0 in n 2.744 * [backup-simplify]: Simplify 2.0 into 2.0 2.744 * [taylor]: Taking taylor expansion of (* n PI) in n 2.744 * [taylor]: Taking taylor expansion of n in n 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of PI in n 2.744 * [backup-simplify]: Simplify PI into PI 2.744 * [backup-simplify]: Simplify (* 0 PI) into 0 2.744 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.745 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.746 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.750 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.751 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.752 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.754 * [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) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.755 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.756 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 2.760 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.764 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.767 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.770 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.771 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.771 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.773 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.774 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.778 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.780 * [backup-simplify]: Simplify (- 0) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.783 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.783 * [backup-simplify]: Simplify (- 0) into 0 2.783 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.785 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.786 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.792 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.802 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.802 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.802 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.802 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.802 * [taylor]: Taking taylor expansion of +nan.0 in n 2.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.802 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.802 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.802 * [taylor]: Taking taylor expansion of 0.5 in n 2.802 * [backup-simplify]: Simplify 0.5 into 0.5 2.802 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.802 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.802 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.802 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.802 * [taylor]: Taking taylor expansion of 1.0 in n 2.802 * [backup-simplify]: Simplify 1.0 into 1.0 2.802 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.802 * [taylor]: Taking taylor expansion of 2.0 in n 2.802 * [backup-simplify]: Simplify 2.0 into 2.0 2.803 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.804 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.805 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.805 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.805 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.805 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.805 * [taylor]: Taking taylor expansion of 1.0 in n 2.805 * [backup-simplify]: Simplify 1.0 into 1.0 2.805 * [taylor]: Taking taylor expansion of (log n) in n 2.805 * [taylor]: Taking taylor expansion of n in n 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (log 1) into 0 2.806 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.806 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.806 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.806 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.806 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.806 * [taylor]: Taking taylor expansion of 1.0 in n 2.806 * [backup-simplify]: Simplify 1.0 into 1.0 2.807 * [taylor]: Taking taylor expansion of (log PI) in n 2.807 * [taylor]: Taking taylor expansion of PI in n 2.807 * [backup-simplify]: Simplify PI into PI 2.807 * [backup-simplify]: Simplify (log PI) into (log PI) 2.808 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.810 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.810 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.811 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.813 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.814 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.816 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.816 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.816 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.816 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.816 * [taylor]: Taking taylor expansion of +nan.0 in n 2.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.816 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.816 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.816 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.816 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.816 * [taylor]: Taking taylor expansion of 0.5 in n 2.816 * [backup-simplify]: Simplify 0.5 into 0.5 2.816 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.816 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.816 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.817 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.817 * [taylor]: Taking taylor expansion of 1.0 in n 2.817 * [backup-simplify]: Simplify 1.0 into 1.0 2.817 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.817 * [taylor]: Taking taylor expansion of 2.0 in n 2.817 * [backup-simplify]: Simplify 2.0 into 2.0 2.817 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.818 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.820 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.820 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.820 * [taylor]: Taking taylor expansion of 1.0 in n 2.820 * [backup-simplify]: Simplify 1.0 into 1.0 2.820 * [taylor]: Taking taylor expansion of (log PI) in n 2.820 * [taylor]: Taking taylor expansion of PI in n 2.820 * [backup-simplify]: Simplify PI into PI 2.820 * [backup-simplify]: Simplify (log PI) into (log PI) 2.821 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.823 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.823 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.823 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.823 * [taylor]: Taking taylor expansion of 1.0 in n 2.823 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [taylor]: Taking taylor expansion of (log n) in n 2.823 * [taylor]: Taking taylor expansion of n in n 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (log 1) into 0 2.824 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.824 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.824 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.825 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.826 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.828 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.829 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.830 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.830 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.830 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.831 * [taylor]: Taking taylor expansion of 2.0 in n 2.831 * [backup-simplify]: Simplify 2.0 into 2.0 2.831 * [taylor]: Taking taylor expansion of (* n PI) in n 2.831 * [taylor]: Taking taylor expansion of n in n 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [taylor]: Taking taylor expansion of PI in n 2.831 * [backup-simplify]: Simplify PI into PI 2.831 * [backup-simplify]: Simplify (* 0 PI) into 0 2.832 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.835 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.836 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.836 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.836 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.836 * [taylor]: Taking taylor expansion of +nan.0 in n 2.836 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.836 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.836 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.836 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.836 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.836 * [taylor]: Taking taylor expansion of 0.5 in n 2.836 * [backup-simplify]: Simplify 0.5 into 0.5 2.836 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.836 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.836 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.837 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.837 * [taylor]: Taking taylor expansion of 1.0 in n 2.837 * [backup-simplify]: Simplify 1.0 into 1.0 2.837 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.837 * [taylor]: Taking taylor expansion of 2.0 in n 2.837 * [backup-simplify]: Simplify 2.0 into 2.0 2.837 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.838 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.839 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.840 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.840 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.840 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.840 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.840 * [taylor]: Taking taylor expansion of 1.0 in n 2.840 * [backup-simplify]: Simplify 1.0 into 1.0 2.840 * [taylor]: Taking taylor expansion of (log PI) in n 2.840 * [taylor]: Taking taylor expansion of PI in n 2.840 * [backup-simplify]: Simplify PI into PI 2.840 * [backup-simplify]: Simplify (log PI) into (log PI) 2.841 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.843 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.843 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.843 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.843 * [taylor]: Taking taylor expansion of 1.0 in n 2.843 * [backup-simplify]: Simplify 1.0 into 1.0 2.843 * [taylor]: Taking taylor expansion of (log n) in n 2.843 * [taylor]: Taking taylor expansion of n in n 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (log 1) into 0 2.844 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.844 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.844 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.845 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.846 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.847 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.848 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.850 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.850 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.850 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.850 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.850 * [taylor]: Taking taylor expansion of 2.0 in n 2.850 * [backup-simplify]: Simplify 2.0 into 2.0 2.850 * [taylor]: Taking taylor expansion of (* n PI) in n 2.850 * [taylor]: Taking taylor expansion of n in n 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * [taylor]: Taking taylor expansion of PI in n 2.850 * [backup-simplify]: Simplify PI into PI 2.851 * [backup-simplify]: Simplify (* 0 PI) into 0 2.851 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.852 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.854 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.855 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.858 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.859 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.862 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.865 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.872 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.875 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.877 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.880 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.883 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.894 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 2.909 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 2.925 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.942 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.954 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.969 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 2.970 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 2.970 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.970 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.970 * [taylor]: Taking taylor expansion of 1.0 in n 2.970 * [backup-simplify]: Simplify 1.0 into 1.0 2.970 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.970 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.970 * [taylor]: Taking taylor expansion of k in n 2.970 * [backup-simplify]: Simplify k into k 2.970 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.970 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.970 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.970 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.970 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.970 * [taylor]: Taking taylor expansion of 0.5 in n 2.970 * [backup-simplify]: Simplify 0.5 into 0.5 2.970 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.970 * [taylor]: Taking taylor expansion of 1.0 in n 2.970 * [backup-simplify]: Simplify 1.0 into 1.0 2.971 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.971 * [taylor]: Taking taylor expansion of k in n 2.971 * [backup-simplify]: Simplify k into k 2.971 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.971 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.971 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.971 * [taylor]: Taking taylor expansion of 2.0 in n 2.971 * [backup-simplify]: Simplify 2.0 into 2.0 2.971 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.971 * [taylor]: Taking taylor expansion of PI in n 2.971 * [backup-simplify]: Simplify PI into PI 2.971 * [taylor]: Taking taylor expansion of n in n 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (/ PI 1) into PI 2.971 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.972 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.972 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.972 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.972 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.973 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.974 * [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)))) 2.975 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.975 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.975 * [taylor]: Taking taylor expansion of 1.0 in k 2.975 * [backup-simplify]: Simplify 1.0 into 1.0 2.975 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.975 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.975 * [taylor]: Taking taylor expansion of k in k 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (sqrt 0) into 0 2.976 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.976 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.976 * [taylor]: Taking taylor expansion of 0.5 in k 2.976 * [backup-simplify]: Simplify 0.5 into 0.5 2.976 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.976 * [taylor]: Taking taylor expansion of 1.0 in k 2.976 * [backup-simplify]: Simplify 1.0 into 1.0 2.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.976 * [taylor]: Taking taylor expansion of k in k 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.976 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.976 * [taylor]: Taking taylor expansion of 2.0 in k 2.976 * [backup-simplify]: Simplify 2.0 into 2.0 2.976 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.976 * [taylor]: Taking taylor expansion of PI in k 2.976 * [backup-simplify]: Simplify PI into PI 2.976 * [taylor]: Taking taylor expansion of n in k 2.976 * [backup-simplify]: Simplify n into n 2.976 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.977 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.977 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.977 * [backup-simplify]: Simplify (- 1) into -1 2.977 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.978 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.978 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.978 * [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))))) 2.978 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 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 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.978 * [taylor]: Taking taylor expansion of (sqrt 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 2.979 * [backup-simplify]: Simplify (sqrt 0) into 0 2.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.980 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.980 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.980 * [taylor]: Taking taylor expansion of 0.5 in k 2.980 * [backup-simplify]: Simplify 0.5 into 0.5 2.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.980 * [taylor]: Taking taylor expansion of 1.0 in k 2.980 * [backup-simplify]: Simplify 1.0 into 1.0 2.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.980 * [taylor]: Taking taylor expansion of k in k 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (/ 1 1) into 1 2.981 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.981 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.981 * [taylor]: Taking taylor expansion of 2.0 in k 2.981 * [backup-simplify]: Simplify 2.0 into 2.0 2.981 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.981 * [taylor]: Taking taylor expansion of PI in k 2.981 * [backup-simplify]: Simplify PI into PI 2.981 * [taylor]: Taking taylor expansion of n in k 2.981 * [backup-simplify]: Simplify n into n 2.981 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.981 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.981 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.982 * [backup-simplify]: Simplify (- 1) into -1 2.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.982 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.982 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.983 * [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))))) 2.983 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.984 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.984 * [taylor]: Taking taylor expansion of 0 in n 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.985 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.985 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.985 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.985 * [taylor]: Taking taylor expansion of +nan.0 in n 2.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.985 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.985 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.985 * [taylor]: Taking taylor expansion of 0.5 in n 2.985 * [backup-simplify]: Simplify 0.5 into 0.5 2.985 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.985 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.985 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.985 * [taylor]: Taking taylor expansion of 2.0 in n 2.985 * [backup-simplify]: Simplify 2.0 into 2.0 2.985 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.985 * [taylor]: Taking taylor expansion of PI in n 2.986 * [backup-simplify]: Simplify PI into PI 2.986 * [taylor]: Taking taylor expansion of n in n 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (/ PI 1) into PI 2.986 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.987 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.988 * [taylor]: Taking taylor expansion of 1.0 in n 2.988 * [backup-simplify]: Simplify 1.0 into 1.0 2.988 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.988 * [taylor]: Taking taylor expansion of k in n 2.988 * [backup-simplify]: Simplify k into k 2.988 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.989 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.989 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.989 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.990 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.992 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.993 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.994 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.000 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.001 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.001 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.006 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.007 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.007 * [taylor]: Taking taylor expansion of +nan.0 in n 3.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.007 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.007 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.007 * [taylor]: Taking taylor expansion of 0.5 in n 3.007 * [backup-simplify]: Simplify 0.5 into 0.5 3.007 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.007 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.007 * [taylor]: Taking taylor expansion of 2.0 in n 3.007 * [backup-simplify]: Simplify 2.0 into 2.0 3.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.007 * [taylor]: Taking taylor expansion of PI in n 3.007 * [backup-simplify]: Simplify PI into PI 3.007 * [taylor]: Taking taylor expansion of n in n 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (/ PI 1) into PI 3.008 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.009 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.009 * [taylor]: Taking taylor expansion of 1.0 in n 3.009 * [backup-simplify]: Simplify 1.0 into 1.0 3.009 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.009 * [taylor]: Taking taylor expansion of k in n 3.009 * [backup-simplify]: Simplify k into k 3.010 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.011 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.011 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.012 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.014 * [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)))) 3.015 * [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))))) 3.016 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.017 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.019 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.021 * [backup-simplify]: Simplify (- 0) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.027 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 3.031 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 3.033 * [backup-simplify]: Simplify (- 0) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.039 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.040 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.040 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.040 * [taylor]: Taking taylor expansion of +nan.0 in n 3.040 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.040 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.040 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.040 * [taylor]: Taking taylor expansion of 0.5 in n 3.040 * [backup-simplify]: Simplify 0.5 into 0.5 3.040 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.040 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.040 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.040 * [taylor]: Taking taylor expansion of 2.0 in n 3.040 * [backup-simplify]: Simplify 2.0 into 2.0 3.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.040 * [taylor]: Taking taylor expansion of PI in n 3.040 * [backup-simplify]: Simplify PI into PI 3.040 * [taylor]: Taking taylor expansion of n in n 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ PI 1) into PI 3.041 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.042 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.042 * [taylor]: Taking taylor expansion of 1.0 in n 3.042 * [backup-simplify]: Simplify 1.0 into 1.0 3.042 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.042 * [taylor]: Taking taylor expansion of k in n 3.042 * [backup-simplify]: Simplify k into k 3.042 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.044 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.044 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.045 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.046 * [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)))) 3.047 * [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))))) 3.049 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.050 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.051 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.055 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 3.056 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 3.056 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 3.056 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.056 * [taylor]: Taking taylor expansion of 1.0 in n 3.056 * [backup-simplify]: Simplify 1.0 into 1.0 3.056 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.056 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.056 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.056 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.057 * [taylor]: Taking taylor expansion of 0.5 in n 3.057 * [backup-simplify]: Simplify 0.5 into 0.5 3.057 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.057 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.057 * [taylor]: Taking taylor expansion of k in n 3.057 * [backup-simplify]: Simplify k into k 3.057 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.057 * [taylor]: Taking taylor expansion of 1.0 in n 3.057 * [backup-simplify]: Simplify 1.0 into 1.0 3.057 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.057 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.057 * [taylor]: Taking taylor expansion of -2.0 in n 3.057 * [backup-simplify]: Simplify -2.0 into -2.0 3.057 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.057 * [taylor]: Taking taylor expansion of PI in n 3.057 * [backup-simplify]: Simplify PI into PI 3.057 * [taylor]: Taking taylor expansion of n in n 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (/ PI 1) into PI 3.058 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.059 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.059 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.059 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.062 * [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)))) 3.063 * [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))))) 3.063 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.063 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.063 * [taylor]: Taking taylor expansion of -1 in n 3.063 * [backup-simplify]: Simplify -1 into -1 3.063 * [taylor]: Taking taylor expansion of k in n 3.063 * [backup-simplify]: Simplify k into k 3.063 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 3.063 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 3.064 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 3.065 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 3.065 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.065 * [taylor]: Taking taylor expansion of 1.0 in k 3.065 * [backup-simplify]: Simplify 1.0 into 1.0 3.065 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.065 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.065 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.065 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.065 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.065 * [taylor]: Taking taylor expansion of 0.5 in k 3.065 * [backup-simplify]: Simplify 0.5 into 0.5 3.065 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.065 * [taylor]: Taking taylor expansion of k in k 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify (/ 1 1) into 1 3.066 * [taylor]: Taking taylor expansion of 1.0 in k 3.066 * [backup-simplify]: Simplify 1.0 into 1.0 3.066 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.066 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.066 * [taylor]: Taking taylor expansion of -2.0 in k 3.066 * [backup-simplify]: Simplify -2.0 into -2.0 3.066 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.066 * [taylor]: Taking taylor expansion of PI in k 3.066 * [backup-simplify]: Simplify PI into PI 3.066 * [taylor]: Taking taylor expansion of n in k 3.066 * [backup-simplify]: Simplify n into n 3.066 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.066 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.066 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.067 * [backup-simplify]: Simplify (+ 1 0) into 1 3.067 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.067 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.068 * [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)))))) 3.068 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.068 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.068 * [taylor]: Taking taylor expansion of -1 in k 3.068 * [backup-simplify]: Simplify -1 into -1 3.068 * [taylor]: Taking taylor expansion of k in k 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (/ -1 1) into -1 3.069 * [backup-simplify]: Simplify (sqrt 0) into 0 3.070 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.070 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 3.070 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.070 * [taylor]: Taking taylor expansion of 1.0 in k 3.070 * [backup-simplify]: Simplify 1.0 into 1.0 3.070 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.070 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.070 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.070 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.070 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.070 * [taylor]: Taking taylor expansion of 0.5 in k 3.070 * [backup-simplify]: Simplify 0.5 into 0.5 3.070 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.071 * [taylor]: Taking taylor expansion of k in k 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (/ 1 1) into 1 3.071 * [taylor]: Taking taylor expansion of 1.0 in k 3.071 * [backup-simplify]: Simplify 1.0 into 1.0 3.071 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.071 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.071 * [taylor]: Taking taylor expansion of -2.0 in k 3.071 * [backup-simplify]: Simplify -2.0 into -2.0 3.071 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.071 * [taylor]: Taking taylor expansion of PI in k 3.071 * [backup-simplify]: Simplify PI into PI 3.071 * [taylor]: Taking taylor expansion of n in k 3.071 * [backup-simplify]: Simplify n into n 3.071 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.071 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.072 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.072 * [backup-simplify]: Simplify (+ 1 0) into 1 3.072 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.072 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.073 * [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)))))) 3.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.073 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.073 * [taylor]: Taking taylor expansion of -1 in k 3.073 * [backup-simplify]: Simplify -1 into -1 3.073 * [taylor]: Taking taylor expansion of k in k 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (/ -1 1) into -1 3.074 * [backup-simplify]: Simplify (sqrt 0) into 0 3.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.075 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 3.076 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 3.076 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.076 * [taylor]: Taking taylor expansion of +nan.0 in n 3.076 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.076 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.076 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.076 * [taylor]: Taking taylor expansion of 0.5 in n 3.076 * [backup-simplify]: Simplify 0.5 into 0.5 3.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.076 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.076 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.076 * [taylor]: Taking taylor expansion of k in n 3.076 * [backup-simplify]: Simplify k into k 3.076 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.076 * [taylor]: Taking taylor expansion of 1.0 in n 3.076 * [backup-simplify]: Simplify 1.0 into 1.0 3.076 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.076 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.076 * [taylor]: Taking taylor expansion of -2.0 in n 3.076 * [backup-simplify]: Simplify -2.0 into -2.0 3.076 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.076 * [taylor]: Taking taylor expansion of PI in n 3.076 * [backup-simplify]: Simplify PI into PI 3.076 * [taylor]: Taking taylor expansion of n in n 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.077 * [backup-simplify]: Simplify (/ PI 1) into PI 3.077 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.079 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.079 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.080 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.081 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.082 * [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)))) 3.083 * [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))))) 3.083 * [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)))))) 3.084 * [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)))))) 3.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.087 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.088 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.088 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.088 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.088 * [taylor]: Taking taylor expansion of +nan.0 in n 3.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.088 * [taylor]: Taking taylor expansion of 0.5 in n 3.088 * [backup-simplify]: Simplify 0.5 into 0.5 3.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.088 * [taylor]: Taking taylor expansion of k in n 3.088 * [backup-simplify]: Simplify k into k 3.088 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.088 * [taylor]: Taking taylor expansion of 1.0 in n 3.088 * [backup-simplify]: Simplify 1.0 into 1.0 3.088 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.088 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.088 * [taylor]: Taking taylor expansion of -2.0 in n 3.088 * [backup-simplify]: Simplify -2.0 into -2.0 3.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.088 * [taylor]: Taking taylor expansion of PI in n 3.088 * [backup-simplify]: Simplify PI into PI 3.088 * [taylor]: Taking taylor expansion of n in n 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (/ PI 1) into PI 3.089 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.090 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.090 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.091 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.092 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.093 * [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))))) 3.094 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.095 * [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))))))) 3.095 * [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))))))) 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.098 * [backup-simplify]: Simplify (+ 0 0) into 0 3.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.099 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.102 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.104 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.110 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.111 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.111 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.111 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.111 * [taylor]: Taking taylor expansion of +nan.0 in n 3.111 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.111 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.112 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) 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 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.112 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.112 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.112 * [taylor]: Taking taylor expansion of k in n 3.112 * [backup-simplify]: Simplify k into k 3.112 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 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 (/ PI n))) in n 3.112 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) 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 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [backup-simplify]: Simplify PI into PI 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ PI 1) into PI 3.113 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.114 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.114 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.117 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.118 * [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)))) 3.119 * [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))))) 3.121 * [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)))))) 3.122 * [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))))))) 3.123 * [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))))))) 3.128 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 3.128 * * * [progress]: simplifying candidates 3.139 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (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 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1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 3.141 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ 1.0 2.0)) (pow (* (* 2.0 h2) h1) (/ h0 2.0)) (pow (* (* 2.0 h2) h1) (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0)))) (pow (* (* 2.0 h2) h1) (sqrt (/ (- 1.0 h0) 2.0))) (pow (* (* 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(log (sqrt h0))) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (+ (- (log 1.0) (log (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (- (log 1.0) (log (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (- (log 1.0) (log (sqrt h0))) (log (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (+ (log (/ 1.0 (sqrt h0))) (* (+ (+ (log 2.0) (log h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (* (+ (log (* 2.0 h2)) (log h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (* (log (* (* 2.0 h2) h1)) (/ (- 1.0 h0) 2.0))) (+ (log (/ 1.0 (sqrt h0))) (log (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (log (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (exp (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt h0) (sqrt h0)) (sqrt h0))) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (* (* (/ 1.0 (sqrt h0)) (/ 1.0 (sqrt h0))) (/ 1.0 (sqrt h0))) (* (* (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (cbrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (cbrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (* (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (sqrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (sqrt (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* 1.0 (pow (* (* 2.0 h2) h1) (/ 1.0 2.0))) (* (sqrt h0) (pow (* (* 2.0 h2) h1) (/ h0 2.0))) (* (sqrt (/ 1.0 (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (sqrt (/ 1.0 (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (sqrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (/ 1.0 (sqrt h0)) (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (* (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (cbrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))))) (* (/ 1.0 (sqrt h0)) (sqrt (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0)))) (* (/ 1.0 (sqrt h0)) 1) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (/ (- 1.0 h0) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (sqrt (/ 1.0 (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (cbrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ (sqrt 1.0) (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (cbrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt (cbrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt (sqrt h0))) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (* (/ 1.0 (sqrt h0)) (pow (* (* 2.0 h2) h1) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 h2) h1) (/ (- 1.0 h0) 2.0))) (- (+ (* (/ 1.0 8.0) (* (pow h0 2) (* (pow (log (* 2.0 h2)) 2) (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1))))))) (+ (* (/ 1.0 8.0) (* (pow h0 2) (* (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1)))) (pow (log h1) 2)))) (+ (* (/ 1.0 4.0) (* (pow h0 2) (* (log (* 2.0 h2)) (* (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1)))) (log h1))))) (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1))))))) (+ (* (/ 1.0 2.0) (* h0 (* (log (* 2.0 h2)) (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1))))))) (* (/ 1.0 2.0) (* h0 (* (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1)))) (log h1)))))) (exp (* (/ 1.0 2.0) (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (- (+ (* h3 h0) (- (+ (* h3 (pow h0 2)) (- h3))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- (* h3 (/ 1 (pow h0 3)))))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- h3))))) (- (+ (* h3 (* (* (pow h0 2) (pow (log (* 2.0 h2)) 2)) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (log (* 2.0 h2))) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (* (log (* 2.0 h2)) (log h1))) (pow (* (pow h2 1.0) (* (pow 2.0 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* h0 (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (pow (log h1) 2)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* h0 (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0))) (- (+ (* h3 (* (pow h0 2) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) (/ 1.0 2.0)))) (- (* h3 (* h0 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0))))))))))))))))))))))) (- (+ (* h3 (/ (exp (* (/ 1.0 2.0) (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 3))) (- (+ (* h3 (/ (exp (* (/ 1.0 2.0) (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) h0)) (- (* h3 (/ (exp (* (/ 1.0 2.0) (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (pow h0 2)))))))) (- (+ (* h3 (/ (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) h0)) (- (+ (* h3 (/ (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (pow h0 2))) (- (* h3 (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))))))))) 4.974 * * * [progress]: adding candidates to table 5.692 * * [progress]: iteration 2 / 4 5.692 * * * [progress]: picking best candidate 5.740 * * * * [pick]: Picked # 5.741 * * * [progress]: localizing error 5.760 * * * [progress]: generating rewritten candidates 5.761 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.788 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.858 * * * [progress]: generating series expansions 5.858 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.858 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 5.858 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 5.858 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.859 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.859 * [taylor]: Taking taylor expansion of 0.5 in k 5.859 * [backup-simplify]: Simplify 0.5 into 0.5 5.859 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.859 * [taylor]: Taking taylor expansion of 1.0 in k 5.859 * [backup-simplify]: Simplify 1.0 into 1.0 5.859 * [taylor]: Taking taylor expansion of k in k 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.859 * [taylor]: Taking taylor expansion of (log n) in k 5.859 * [taylor]: Taking taylor expansion of n in k 5.859 * [backup-simplify]: Simplify n into n 5.859 * [backup-simplify]: Simplify (log n) into (log n) 5.860 * [backup-simplify]: Simplify (- 0) into 0 5.860 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.861 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.861 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 5.861 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.861 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.861 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.861 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.861 * [taylor]: Taking taylor expansion of 0.5 in n 5.861 * [backup-simplify]: Simplify 0.5 into 0.5 5.861 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.861 * [taylor]: Taking taylor expansion of 1.0 in n 5.861 * [backup-simplify]: Simplify 1.0 into 1.0 5.861 * [taylor]: Taking taylor expansion of k in n 5.862 * [backup-simplify]: Simplify k into k 5.862 * [taylor]: Taking taylor expansion of (log n) in n 5.862 * [taylor]: Taking taylor expansion of n in n 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (log 1) into 0 5.862 * [backup-simplify]: Simplify (- k) into (- k) 5.862 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.862 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.863 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.863 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.863 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.863 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.863 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.863 * [taylor]: Taking taylor expansion of 0.5 in n 5.863 * [backup-simplify]: Simplify 0.5 into 0.5 5.863 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.863 * [taylor]: Taking taylor expansion of 1.0 in n 5.863 * [backup-simplify]: Simplify 1.0 into 1.0 5.863 * [taylor]: Taking taylor expansion of k in n 5.863 * [backup-simplify]: Simplify k into k 5.863 * [taylor]: Taking taylor expansion of (log n) in n 5.863 * [taylor]: Taking taylor expansion of n in n 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 1 into 1 5.864 * [backup-simplify]: Simplify (log 1) into 0 5.864 * [backup-simplify]: Simplify (- k) into (- k) 5.864 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.864 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.865 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.865 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.865 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.865 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 5.865 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 5.865 * [taylor]: Taking taylor expansion of 0.5 in k 5.865 * [backup-simplify]: Simplify 0.5 into 0.5 5.865 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 5.865 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.865 * [taylor]: Taking taylor expansion of 1.0 in k 5.865 * [backup-simplify]: Simplify 1.0 into 1.0 5.865 * [taylor]: Taking taylor expansion of k in k 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 1 into 1 5.865 * [taylor]: Taking taylor expansion of (log n) in k 5.865 * [taylor]: Taking taylor expansion of n in k 5.865 * [backup-simplify]: Simplify n into n 5.866 * [backup-simplify]: Simplify (log n) into (log n) 5.866 * [backup-simplify]: Simplify (- 0) into 0 5.866 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.866 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.867 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 5.867 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.867 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 5.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.869 * [backup-simplify]: Simplify (- 0) into 0 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 5.870 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.870 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 5.871 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.871 * [taylor]: Taking taylor expansion of 0 in k 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.872 * [backup-simplify]: Simplify (- 1) into -1 5.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.873 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 5.874 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 5.874 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 5.874 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 5.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.878 * [backup-simplify]: Simplify (- 0) into 0 5.878 * [backup-simplify]: Simplify (+ 0 0) into 0 5.879 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 5.879 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.880 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 5.881 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.881 * [taylor]: Taking taylor expansion of 0 in k 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.884 * [backup-simplify]: Simplify (- 0) into 0 5.884 * [backup-simplify]: Simplify (+ 0 0) into 0 5.891 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 5.891 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 5.893 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 5.893 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 5.894 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 5.894 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 5.894 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.894 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.894 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.894 * [taylor]: Taking taylor expansion of 0.5 in k 5.894 * [backup-simplify]: Simplify 0.5 into 0.5 5.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.894 * [taylor]: Taking taylor expansion of 1.0 in k 5.894 * [backup-simplify]: Simplify 1.0 into 1.0 5.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.894 * [taylor]: Taking taylor expansion of k in k 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.894 * [backup-simplify]: Simplify (/ 1 1) into 1 5.894 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.894 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.894 * [taylor]: Taking taylor expansion of n in k 5.894 * [backup-simplify]: Simplify n into n 5.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.895 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.895 * [backup-simplify]: Simplify (- 1) into -1 5.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.895 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.895 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.896 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.896 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.896 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.896 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.896 * [taylor]: Taking taylor expansion of 0.5 in n 5.896 * [backup-simplify]: Simplify 0.5 into 0.5 5.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.896 * [taylor]: Taking taylor expansion of 1.0 in n 5.896 * [backup-simplify]: Simplify 1.0 into 1.0 5.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.896 * [taylor]: Taking taylor expansion of k in n 5.896 * [backup-simplify]: Simplify k into k 5.896 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.896 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.896 * [taylor]: Taking taylor expansion of n in n 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [backup-simplify]: Simplify (/ 1 1) into 1 5.896 * [backup-simplify]: Simplify (log 1) into 0 5.896 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.896 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.897 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.897 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.897 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.897 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.897 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.897 * [taylor]: Taking taylor expansion of 0.5 in n 5.897 * [backup-simplify]: Simplify 0.5 into 0.5 5.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.897 * [taylor]: Taking taylor expansion of 1.0 in n 5.897 * [backup-simplify]: Simplify 1.0 into 1.0 5.897 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.897 * [taylor]: Taking taylor expansion of k in n 5.897 * [backup-simplify]: Simplify k into k 5.897 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.897 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.897 * [taylor]: Taking taylor expansion of n in n 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.898 * [backup-simplify]: Simplify (/ 1 1) into 1 5.898 * [backup-simplify]: Simplify (log 1) into 0 5.898 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.898 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.898 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.898 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.899 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.899 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 5.899 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 5.899 * [taylor]: Taking taylor expansion of -0.5 in k 5.899 * [backup-simplify]: Simplify -0.5 into -0.5 5.899 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 5.899 * [taylor]: Taking taylor expansion of (log n) in k 5.899 * [taylor]: Taking taylor expansion of n in k 5.899 * [backup-simplify]: Simplify n into n 5.899 * [backup-simplify]: Simplify (log n) into (log n) 5.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.899 * [taylor]: Taking taylor expansion of 1.0 in k 5.899 * [backup-simplify]: Simplify 1.0 into 1.0 5.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.899 * [taylor]: Taking taylor expansion of k in k 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [backup-simplify]: Simplify (/ 1 1) into 1 5.899 * [backup-simplify]: Simplify (- 1) into -1 5.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.900 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 5.900 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 5.900 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.900 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.902 * [backup-simplify]: Simplify (- 0) into 0 5.902 * [backup-simplify]: Simplify (+ 0 0) into 0 5.902 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.902 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.903 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 5.903 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.903 * [taylor]: Taking taylor expansion of 0 in k 5.903 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.906 * [backup-simplify]: Simplify (- 0) into 0 5.906 * [backup-simplify]: Simplify (+ 0 0) into 0 5.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.907 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.907 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 5.908 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.908 * [taylor]: Taking taylor expansion of 0 in k 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.912 * [backup-simplify]: Simplify (- 0) into 0 5.912 * [backup-simplify]: Simplify (+ 0 0) into 0 5.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 5.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.913 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 5.914 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.914 * [taylor]: Taking taylor expansion of 0 in k 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 5.915 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 5.915 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.915 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.915 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.915 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.915 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.915 * [taylor]: Taking taylor expansion of 0.5 in k 5.915 * [backup-simplify]: Simplify 0.5 into 0.5 5.915 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.915 * [taylor]: Taking taylor expansion of k in k 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [backup-simplify]: Simplify (/ 1 1) into 1 5.915 * [taylor]: Taking taylor expansion of 1.0 in k 5.915 * [backup-simplify]: Simplify 1.0 into 1.0 5.915 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.915 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.915 * [taylor]: Taking taylor expansion of -1 in k 5.915 * [backup-simplify]: Simplify -1 into -1 5.915 * [taylor]: Taking taylor expansion of n in k 5.916 * [backup-simplify]: Simplify n into n 5.916 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.916 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.916 * [backup-simplify]: Simplify (+ 1 0) into 1 5.916 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.916 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.916 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.916 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.916 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.916 * [taylor]: Taking taylor expansion of 0.5 in n 5.916 * [backup-simplify]: Simplify 0.5 into 0.5 5.916 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.917 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.917 * [taylor]: Taking taylor expansion of k in n 5.917 * [backup-simplify]: Simplify k into k 5.917 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.917 * [taylor]: Taking taylor expansion of 1.0 in n 5.917 * [backup-simplify]: Simplify 1.0 into 1.0 5.917 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.917 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.917 * [taylor]: Taking taylor expansion of -1 in n 5.917 * [backup-simplify]: Simplify -1 into -1 5.917 * [taylor]: Taking taylor expansion of n in n 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 1 into 1 5.917 * [backup-simplify]: Simplify (/ -1 1) into -1 5.917 * [backup-simplify]: Simplify (log -1) into (log -1) 5.917 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.917 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.918 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.918 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.919 * [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)))) 5.919 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.919 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.919 * [taylor]: Taking taylor expansion of 0.5 in n 5.919 * [backup-simplify]: Simplify 0.5 into 0.5 5.919 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.919 * [taylor]: Taking taylor expansion of k in n 5.919 * [backup-simplify]: Simplify k into k 5.919 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.919 * [taylor]: Taking taylor expansion of 1.0 in n 5.919 * [backup-simplify]: Simplify 1.0 into 1.0 5.919 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.919 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.919 * [taylor]: Taking taylor expansion of -1 in n 5.919 * [backup-simplify]: Simplify -1 into -1 5.919 * [taylor]: Taking taylor expansion of n in n 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 1 into 1 5.919 * [backup-simplify]: Simplify (/ -1 1) into -1 5.920 * [backup-simplify]: Simplify (log -1) into (log -1) 5.920 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.920 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.921 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.921 * [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)))) 5.921 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 5.921 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 5.921 * [taylor]: Taking taylor expansion of 0.5 in k 5.921 * [backup-simplify]: Simplify 0.5 into 0.5 5.921 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 5.921 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 5.921 * [taylor]: Taking taylor expansion of (log -1) in k 5.921 * [taylor]: Taking taylor expansion of -1 in k 5.921 * [backup-simplify]: Simplify -1 into -1 5.922 * [backup-simplify]: Simplify (log -1) into (log -1) 5.922 * [taylor]: Taking taylor expansion of (log n) in k 5.922 * [taylor]: Taking taylor expansion of n in k 5.922 * [backup-simplify]: Simplify n into n 5.922 * [backup-simplify]: Simplify (log n) into (log n) 5.922 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.922 * [taylor]: Taking taylor expansion of k in k 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify (/ 1 1) into 1 5.922 * [taylor]: Taking taylor expansion of 1.0 in k 5.922 * [backup-simplify]: Simplify 1.0 into 1.0 5.922 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.922 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 5.923 * [backup-simplify]: Simplify (+ 1 0) into 1 5.923 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 5.923 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 5.924 * [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)))) 5.924 * [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)))) 5.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.926 * [backup-simplify]: Simplify (+ 0 0) into 0 5.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.928 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 5.930 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.930 * [taylor]: Taking taylor expansion of 0 in k 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.934 * [backup-simplify]: Simplify (+ 0 0) into 0 5.935 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.937 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 5.939 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.939 * [taylor]: Taking taylor expansion of 0 in k 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.946 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 5.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 5.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.949 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 5.950 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.950 * [taylor]: Taking taylor expansion of 0 in k 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 5.950 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.951 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 5.951 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 5.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.951 * [taylor]: Taking taylor expansion of 0.5 in k 5.951 * [backup-simplify]: Simplify 0.5 into 0.5 5.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.951 * [taylor]: Taking taylor expansion of 1.0 in k 5.951 * [backup-simplify]: Simplify 1.0 into 1.0 5.951 * [taylor]: Taking taylor expansion of k in k 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.951 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.951 * [taylor]: Taking taylor expansion of 2.0 in k 5.951 * [backup-simplify]: Simplify 2.0 into 2.0 5.951 * [taylor]: Taking taylor expansion of PI in k 5.951 * [backup-simplify]: Simplify PI into PI 5.951 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.952 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.952 * [backup-simplify]: Simplify (- 0) into 0 5.953 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.953 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.954 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.955 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.955 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.955 * [taylor]: Taking taylor expansion of 0.5 in k 5.956 * [backup-simplify]: Simplify 0.5 into 0.5 5.956 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.956 * [taylor]: Taking taylor expansion of 1.0 in k 5.956 * [backup-simplify]: Simplify 1.0 into 1.0 5.956 * [taylor]: Taking taylor expansion of k in k 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.956 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.956 * [taylor]: Taking taylor expansion of 2.0 in k 5.956 * [backup-simplify]: Simplify 2.0 into 2.0 5.956 * [taylor]: Taking taylor expansion of PI in k 5.956 * [backup-simplify]: Simplify PI into PI 5.956 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.957 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.957 * [backup-simplify]: Simplify (- 0) into 0 5.957 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.957 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.958 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.960 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.961 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 5.961 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.962 * [backup-simplify]: Simplify (- 1) into -1 5.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.964 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.967 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 5.980 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 5.984 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 5.985 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 5.987 * [backup-simplify]: Simplify (- 0) into 0 5.987 * [backup-simplify]: Simplify (+ 0 0) into 0 5.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.989 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 6.003 * [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))) 6.008 * [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))) 6.022 * [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)))) 6.023 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 6.023 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 6.023 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.023 * [taylor]: Taking taylor expansion of 0.5 in k 6.023 * [backup-simplify]: Simplify 0.5 into 0.5 6.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.023 * [taylor]: Taking taylor expansion of 1.0 in k 6.023 * [backup-simplify]: Simplify 1.0 into 1.0 6.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.023 * [taylor]: Taking taylor expansion of k in k 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify (/ 1 1) into 1 6.023 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.023 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.024 * [taylor]: Taking taylor expansion of 2.0 in k 6.024 * [backup-simplify]: Simplify 2.0 into 2.0 6.024 * [taylor]: Taking taylor expansion of PI in k 6.024 * [backup-simplify]: Simplify PI into PI 6.024 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.025 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.025 * [backup-simplify]: Simplify (- 1) into -1 6.025 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.026 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.027 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.027 * [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))))) 6.027 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.028 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.028 * [taylor]: Taking taylor expansion of 0.5 in k 6.028 * [backup-simplify]: Simplify 0.5 into 0.5 6.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.028 * [taylor]: Taking taylor expansion of 1.0 in k 6.028 * [backup-simplify]: Simplify 1.0 into 1.0 6.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.028 * [taylor]: Taking taylor expansion of k in k 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (/ 1 1) into 1 6.028 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.028 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.028 * [taylor]: Taking taylor expansion of 2.0 in k 6.028 * [backup-simplify]: Simplify 2.0 into 2.0 6.028 * [taylor]: Taking taylor expansion of PI in k 6.028 * [backup-simplify]: Simplify PI into PI 6.028 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.029 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.029 * [backup-simplify]: Simplify (- 1) into -1 6.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.030 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.031 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.031 * [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))))) 6.032 * [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))))) 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.033 * [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))))) 6.034 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 6.034 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 6.034 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.034 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.034 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.034 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.034 * [taylor]: Taking taylor expansion of 0.5 in k 6.034 * [backup-simplify]: Simplify 0.5 into 0.5 6.034 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.034 * [taylor]: Taking taylor expansion of k in k 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (/ 1 1) into 1 6.034 * [taylor]: Taking taylor expansion of 1.0 in k 6.034 * [backup-simplify]: Simplify 1.0 into 1.0 6.034 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.034 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.034 * [taylor]: Taking taylor expansion of 2.0 in k 6.034 * [backup-simplify]: Simplify 2.0 into 2.0 6.034 * [taylor]: Taking taylor expansion of PI in k 6.034 * [backup-simplify]: Simplify PI into PI 6.034 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.035 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.035 * [backup-simplify]: Simplify (+ 1 0) into 1 6.036 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.037 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.037 * [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)))) 6.037 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.037 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.037 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.037 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.037 * [taylor]: Taking taylor expansion of 0.5 in k 6.037 * [backup-simplify]: Simplify 0.5 into 0.5 6.037 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.038 * [taylor]: Taking taylor expansion of k in k 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [taylor]: Taking taylor expansion of 1.0 in k 6.038 * [backup-simplify]: Simplify 1.0 into 1.0 6.038 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.038 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.038 * [taylor]: Taking taylor expansion of 2.0 in k 6.038 * [backup-simplify]: Simplify 2.0 into 2.0 6.038 * [taylor]: Taking taylor expansion of PI in k 6.038 * [backup-simplify]: Simplify PI into PI 6.038 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.039 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.039 * [backup-simplify]: Simplify (+ 1 0) into 1 6.039 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.040 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.041 * [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)))) 6.042 * [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)))) 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.043 * [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))))) 6.043 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.043 * [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)))) 6.043 * [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 6.043 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 6.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 6.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 6.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 6.044 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.044 * [taylor]: Taking taylor expansion of 0.5 in n 6.044 * [backup-simplify]: Simplify 0.5 into 0.5 6.044 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.044 * [taylor]: Taking taylor expansion of 1.0 in n 6.044 * [backup-simplify]: Simplify 1.0 into 1.0 6.044 * [taylor]: Taking taylor expansion of k in n 6.044 * [backup-simplify]: Simplify k into k 6.044 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.044 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.044 * [taylor]: Taking taylor expansion of 2.0 in n 6.044 * [backup-simplify]: Simplify 2.0 into 2.0 6.044 * [taylor]: Taking taylor expansion of PI in n 6.044 * [backup-simplify]: Simplify PI into PI 6.044 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.045 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.045 * [backup-simplify]: Simplify (- k) into (- k) 6.045 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.045 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.045 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 6.046 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 6.046 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 6.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 6.046 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 6.046 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.046 * [taylor]: Taking taylor expansion of 0.5 in n 6.046 * [backup-simplify]: Simplify 0.5 into 0.5 6.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.046 * [taylor]: Taking taylor expansion of 1.0 in n 6.046 * [backup-simplify]: Simplify 1.0 into 1.0 6.046 * [taylor]: Taking taylor expansion of k in n 6.046 * [backup-simplify]: Simplify k into k 6.046 * [taylor]: Taking taylor expansion of (log n) in n 6.046 * [taylor]: Taking taylor expansion of n in n 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 1 into 1 6.047 * [backup-simplify]: Simplify (log 1) into 0 6.047 * [backup-simplify]: Simplify (- k) into (- k) 6.047 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.047 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.047 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.047 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 6.047 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 6.047 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 6.047 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.047 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.047 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.047 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.047 * [taylor]: Taking taylor expansion of 0.5 in k 6.047 * [backup-simplify]: Simplify 0.5 into 0.5 6.047 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.047 * [taylor]: Taking taylor expansion of 1.0 in k 6.047 * [backup-simplify]: Simplify 1.0 into 1.0 6.047 * [taylor]: Taking taylor expansion of k in k 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.047 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.048 * [taylor]: Taking taylor expansion of 2.0 in k 6.048 * [backup-simplify]: Simplify 2.0 into 2.0 6.048 * [taylor]: Taking taylor expansion of PI in k 6.048 * [backup-simplify]: Simplify PI into PI 6.048 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.048 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.049 * [backup-simplify]: Simplify (- 0) into 0 6.049 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.049 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.050 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.052 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.052 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.052 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.052 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.052 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.052 * [taylor]: Taking taylor expansion of 0.5 in k 6.052 * [backup-simplify]: Simplify 0.5 into 0.5 6.052 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.052 * [taylor]: Taking taylor expansion of 1.0 in k 6.052 * [backup-simplify]: Simplify 1.0 into 1.0 6.052 * [taylor]: Taking taylor expansion of k in k 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.052 * [taylor]: Taking taylor expansion of (log n) in k 6.052 * [taylor]: Taking taylor expansion of n in k 6.052 * [backup-simplify]: Simplify n into n 6.052 * [backup-simplify]: Simplify (log n) into (log n) 6.052 * [backup-simplify]: Simplify (- 0) into 0 6.053 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.053 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.053 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.053 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.053 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 6.053 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.053 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.053 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.053 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.053 * [taylor]: Taking taylor expansion of 0.5 in k 6.053 * [backup-simplify]: Simplify 0.5 into 0.5 6.053 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.053 * [taylor]: Taking taylor expansion of 1.0 in k 6.053 * [backup-simplify]: Simplify 1.0 into 1.0 6.053 * [taylor]: Taking taylor expansion of k in k 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.053 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.053 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.053 * [taylor]: Taking taylor expansion of 2.0 in k 6.053 * [backup-simplify]: Simplify 2.0 into 2.0 6.053 * [taylor]: Taking taylor expansion of PI in k 6.053 * [backup-simplify]: Simplify PI into PI 6.054 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.054 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.054 * [backup-simplify]: Simplify (- 0) into 0 6.055 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.055 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.056 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.058 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.058 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.058 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.058 * [taylor]: Taking taylor expansion of 0.5 in k 6.058 * [backup-simplify]: Simplify 0.5 into 0.5 6.058 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.058 * [taylor]: Taking taylor expansion of 1.0 in k 6.058 * [backup-simplify]: Simplify 1.0 into 1.0 6.058 * [taylor]: Taking taylor expansion of k in k 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [taylor]: Taking taylor expansion of (log n) in k 6.058 * [taylor]: Taking taylor expansion of n in k 6.058 * [backup-simplify]: Simplify n into n 6.058 * [backup-simplify]: Simplify (log n) into (log n) 6.059 * [backup-simplify]: Simplify (- 0) into 0 6.059 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.059 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.060 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.060 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.061 * [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) 6.061 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.061 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.061 * [taylor]: Taking taylor expansion of 0.5 in n 6.061 * [backup-simplify]: Simplify 0.5 into 0.5 6.061 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.061 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.061 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.061 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.061 * [taylor]: Taking taylor expansion of 1.0 in n 6.061 * [backup-simplify]: Simplify 1.0 into 1.0 6.061 * [taylor]: Taking taylor expansion of (log PI) in n 6.061 * [taylor]: Taking taylor expansion of PI in n 6.061 * [backup-simplify]: Simplify PI into PI 6.062 * [backup-simplify]: Simplify (log PI) into (log PI) 6.063 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.064 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.064 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.064 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.065 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.065 * [taylor]: Taking taylor expansion of 1.0 in n 6.065 * [backup-simplify]: Simplify 1.0 into 1.0 6.065 * [taylor]: Taking taylor expansion of (log n) in n 6.065 * [taylor]: Taking taylor expansion of n in n 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 1 into 1 6.065 * [backup-simplify]: Simplify (log 1) into 0 6.065 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.066 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.066 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.066 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.066 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.066 * [taylor]: Taking taylor expansion of 1.0 in n 6.066 * [backup-simplify]: Simplify 1.0 into 1.0 6.066 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.066 * [taylor]: Taking taylor expansion of 2.0 in n 6.066 * [backup-simplify]: Simplify 2.0 into 2.0 6.066 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.067 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.069 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.069 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.071 * [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) 6.072 * [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)) 6.074 * [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))) 6.075 * [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) 6.076 * [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) 6.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.078 * [backup-simplify]: Simplify (- 1) into -1 6.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.080 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 6.081 * [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))) 6.082 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.084 * [backup-simplify]: Simplify (- 1) into -1 6.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.085 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 6.101 * [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))) 6.109 * [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))))) 6.109 * [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 6.109 * [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 6.109 * [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 6.109 * [taylor]: Taking taylor expansion of 0.5 in n 6.110 * [backup-simplify]: Simplify 0.5 into 0.5 6.110 * [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 6.110 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.110 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.110 * [taylor]: Taking taylor expansion of 2.0 in n 6.110 * [backup-simplify]: Simplify 2.0 into 2.0 6.110 * [taylor]: Taking taylor expansion of PI in n 6.110 * [backup-simplify]: Simplify PI into PI 6.110 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.111 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.111 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.111 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.111 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.111 * [taylor]: Taking taylor expansion of 0.5 in n 6.111 * [backup-simplify]: Simplify 0.5 into 0.5 6.111 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.111 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.111 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.111 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.112 * [taylor]: Taking taylor expansion of 1.0 in n 6.112 * [backup-simplify]: Simplify 1.0 into 1.0 6.112 * [taylor]: Taking taylor expansion of (log PI) in n 6.112 * [taylor]: Taking taylor expansion of PI in n 6.112 * [backup-simplify]: Simplify PI into PI 6.112 * [backup-simplify]: Simplify (log PI) into (log PI) 6.113 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.114 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.114 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.115 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.115 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.115 * [taylor]: Taking taylor expansion of 1.0 in n 6.115 * [backup-simplify]: Simplify 1.0 into 1.0 6.115 * [taylor]: Taking taylor expansion of (log n) in n 6.115 * [taylor]: Taking taylor expansion of n in n 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [backup-simplify]: Simplify (log 1) into 0 6.116 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.116 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.116 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.116 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.116 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.116 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.116 * [taylor]: Taking taylor expansion of 1.0 in n 6.116 * [backup-simplify]: Simplify 1.0 into 1.0 6.116 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.116 * [taylor]: Taking taylor expansion of 2.0 in n 6.116 * [backup-simplify]: Simplify 2.0 into 2.0 6.116 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.117 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.130 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.131 * [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) 6.132 * [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) 6.133 * [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)) 6.134 * [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))) 6.136 * [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) 6.136 * [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 6.136 * [taylor]: Taking taylor expansion of 0.5 in n 6.136 * [backup-simplify]: Simplify 0.5 into 0.5 6.136 * [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 6.136 * [taylor]: Taking taylor expansion of (log n) in n 6.136 * [taylor]: Taking taylor expansion of n in n 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 1 into 1 6.136 * [backup-simplify]: Simplify (log 1) into 0 6.137 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.137 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.137 * [taylor]: Taking taylor expansion of 0.5 in n 6.137 * [backup-simplify]: Simplify 0.5 into 0.5 6.137 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.137 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.137 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.137 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.137 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.137 * [taylor]: Taking taylor expansion of 1.0 in n 6.137 * [backup-simplify]: Simplify 1.0 into 1.0 6.137 * [taylor]: Taking taylor expansion of (log PI) in n 6.137 * [taylor]: Taking taylor expansion of PI in n 6.137 * [backup-simplify]: Simplify PI into PI 6.137 * [backup-simplify]: Simplify (log PI) into (log PI) 6.138 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.140 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.140 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.140 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.140 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.140 * [taylor]: Taking taylor expansion of 1.0 in n 6.140 * [backup-simplify]: Simplify 1.0 into 1.0 6.140 * [taylor]: Taking taylor expansion of (log n) in n 6.140 * [taylor]: Taking taylor expansion of n in n 6.140 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify 1 into 1 6.140 * [backup-simplify]: Simplify (log 1) into 0 6.141 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.141 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.141 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.141 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.141 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.141 * [taylor]: Taking taylor expansion of 1.0 in n 6.141 * [backup-simplify]: Simplify 1.0 into 1.0 6.141 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.141 * [taylor]: Taking taylor expansion of 2.0 in n 6.141 * [backup-simplify]: Simplify 2.0 into 2.0 6.141 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.142 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.143 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.144 * [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) 6.145 * [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) 6.147 * [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)) 6.148 * [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))) 6.149 * [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) 6.152 * [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)) 6.154 * [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))) 6.155 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.156 * [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)) 6.158 * [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))) 6.162 * [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)))) 6.166 * [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))))) 6.170 * [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))))) 6.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 6.172 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 6.173 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 6.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.175 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.176 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 6.177 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 6.177 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 6.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 6.180 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 6.181 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 6.183 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 6.185 * [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 6.187 * [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 6.190 * [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 6.190 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.192 * [backup-simplify]: Simplify (- 0) into 0 6.192 * [backup-simplify]: Simplify (+ 0 0) into 0 6.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 6.196 * [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))) 6.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.201 * [backup-simplify]: Simplify (- 0) into 0 6.201 * [backup-simplify]: Simplify (+ 0 0) into 0 6.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 6.219 * [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))) 6.237 * [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))))) 6.237 * [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 6.237 * [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 6.237 * [taylor]: Taking taylor expansion of 0.125 in n 6.237 * [backup-simplify]: Simplify 0.125 into 0.125 6.237 * [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 6.237 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 6.237 * [taylor]: Taking taylor expansion of (log n) in n 6.237 * [taylor]: Taking taylor expansion of n in n 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify (log 1) into 0 6.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.238 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.238 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.238 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.238 * [taylor]: Taking taylor expansion of 0.5 in n 6.238 * [backup-simplify]: Simplify 0.5 into 0.5 6.238 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.238 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.238 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.238 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.238 * [taylor]: Taking taylor expansion of 1.0 in n 6.238 * [backup-simplify]: Simplify 1.0 into 1.0 6.238 * [taylor]: Taking taylor expansion of (log PI) in n 6.238 * [taylor]: Taking taylor expansion of PI in n 6.238 * [backup-simplify]: Simplify PI into PI 6.238 * [backup-simplify]: Simplify (log PI) into (log PI) 6.239 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.240 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.240 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.240 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.240 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.240 * [taylor]: Taking taylor expansion of 1.0 in n 6.240 * [backup-simplify]: Simplify 1.0 into 1.0 6.240 * [taylor]: Taking taylor expansion of (log n) in n 6.240 * [taylor]: Taking taylor expansion of n in n 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (log 1) into 0 6.241 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.241 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.241 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.241 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.241 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.241 * [taylor]: Taking taylor expansion of 1.0 in n 6.241 * [backup-simplify]: Simplify 1.0 into 1.0 6.241 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.241 * [taylor]: Taking taylor expansion of 2.0 in n 6.241 * [backup-simplify]: Simplify 2.0 into 2.0 6.241 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.242 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.243 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.243 * [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) 6.244 * [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) 6.245 * [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)) 6.245 * [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))) 6.246 * [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) 6.246 * [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 6.246 * [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 6.246 * [taylor]: Taking taylor expansion of 0.25 in n 6.246 * [backup-simplify]: Simplify 0.25 into 0.25 6.246 * [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 6.246 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 6.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.247 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.247 * [taylor]: Taking taylor expansion of 2.0 in n 6.247 * [backup-simplify]: Simplify 2.0 into 2.0 6.247 * [taylor]: Taking taylor expansion of PI in n 6.247 * [backup-simplify]: Simplify PI into PI 6.247 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.247 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.248 * [taylor]: Taking taylor expansion of (log n) in n 6.248 * [taylor]: Taking taylor expansion of n in n 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (log 1) into 0 6.248 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 6.248 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 6.248 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 6.248 * [taylor]: Taking taylor expansion of 0.5 in n 6.248 * [backup-simplify]: Simplify 0.5 into 0.5 6.248 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 6.248 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 6.248 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.248 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.248 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.248 * [taylor]: Taking taylor expansion of 1.0 in n 6.248 * [backup-simplify]: Simplify 1.0 into 1.0 6.248 * [taylor]: Taking taylor expansion of (log PI) in n 6.248 * [taylor]: Taking taylor expansion of PI in n 6.248 * [backup-simplify]: Simplify PI into PI 6.248 * [backup-simplify]: Simplify (log PI) into (log PI) 6.249 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.250 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.250 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 6.250 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.250 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.250 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.250 * [taylor]: Taking taylor expansion of 1.0 in n 6.250 * [backup-simplify]: Simplify 1.0 into 1.0 6.250 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.250 * [taylor]: Taking taylor expansion of 2.0 in n 6.250 * [backup-simplify]: Simplify 2.0 into 2.0 6.250 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.251 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.252 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.252 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.252 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.252 * [taylor]: Taking taylor expansion of 1.0 in n 6.252 * [backup-simplify]: Simplify 1.0 into 1.0 6.252 * [taylor]: Taking taylor expansion of (log n) in n 6.252 * [taylor]: Taking taylor expansion of n in n 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (log 1) into 0 6.252 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.252 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.253 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.253 * [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) 6.254 * [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) 6.255 * [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)) 6.255 * [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))) 6.256 * [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) 6.256 * [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 6.256 * [taylor]: Taking taylor expansion of 0.125 in n 6.256 * [backup-simplify]: Simplify 0.125 into 0.125 6.256 * [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 6.256 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 6.256 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.256 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.256 * [taylor]: Taking taylor expansion of 2.0 in n 6.256 * [backup-simplify]: Simplify 2.0 into 2.0 6.256 * [taylor]: Taking taylor expansion of PI in n 6.256 * [backup-simplify]: Simplify PI into PI 6.257 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.257 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.257 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.257 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.257 * [taylor]: Taking taylor expansion of 0.5 in n 6.258 * [backup-simplify]: Simplify 0.5 into 0.5 6.258 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.258 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.258 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.258 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.258 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.258 * [taylor]: Taking taylor expansion of 1.0 in n 6.258 * [backup-simplify]: Simplify 1.0 into 1.0 6.258 * [taylor]: Taking taylor expansion of (log PI) in n 6.258 * [taylor]: Taking taylor expansion of PI in n 6.258 * [backup-simplify]: Simplify PI into PI 6.258 * [backup-simplify]: Simplify (log PI) into (log PI) 6.259 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.259 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.259 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.259 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.260 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.260 * [taylor]: Taking taylor expansion of 1.0 in n 6.260 * [backup-simplify]: Simplify 1.0 into 1.0 6.260 * [taylor]: Taking taylor expansion of (log n) in n 6.260 * [taylor]: Taking taylor expansion of n in n 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [backup-simplify]: Simplify (log 1) into 0 6.260 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.260 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.260 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.260 * [taylor]: Taking taylor expansion of 1.0 in n 6.260 * [backup-simplify]: Simplify 1.0 into 1.0 6.260 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.260 * [taylor]: Taking taylor expansion of 2.0 in n 6.260 * [backup-simplify]: Simplify 2.0 into 2.0 6.261 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.267 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.268 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.269 * [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) 6.270 * [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) 6.270 * [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)) 6.271 * [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))) 6.272 * [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) 6.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.273 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.273 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 6.275 * [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)) 6.276 * [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))) 6.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.278 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 6.281 * [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)) 6.282 * [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))) 6.284 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 6.286 * [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)) 6.288 * [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))) 6.291 * [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)))) 6.296 * [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))))) 6.300 * [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))))) 6.310 * [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))))) 6.311 * [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))))) 6.311 * [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 6.311 * [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 6.311 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.311 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.311 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.311 * [taylor]: Taking taylor expansion of 0.5 in n 6.311 * [backup-simplify]: Simplify 0.5 into 0.5 6.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.311 * [taylor]: Taking taylor expansion of 1.0 in n 6.311 * [backup-simplify]: Simplify 1.0 into 1.0 6.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.312 * [taylor]: Taking taylor expansion of k in n 6.312 * [backup-simplify]: Simplify k into k 6.312 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.312 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.312 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.312 * [taylor]: Taking taylor expansion of n in n 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (/ 1 1) into 1 6.312 * [backup-simplify]: Simplify (log 1) into 0 6.313 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.313 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.313 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.314 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.314 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 6.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 6.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.314 * [taylor]: Taking taylor expansion of 0.5 in n 6.314 * [backup-simplify]: Simplify 0.5 into 0.5 6.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.314 * [taylor]: Taking taylor expansion of 1.0 in n 6.314 * [backup-simplify]: Simplify 1.0 into 1.0 6.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.314 * [taylor]: Taking taylor expansion of k in n 6.314 * [backup-simplify]: Simplify k into k 6.314 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.314 * [taylor]: Taking taylor expansion of 2.0 in n 6.314 * [backup-simplify]: Simplify 2.0 into 2.0 6.314 * [taylor]: Taking taylor expansion of PI in n 6.314 * [backup-simplify]: Simplify PI into PI 6.315 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.316 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.316 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.316 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.316 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.317 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 6.319 * [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))))) 6.319 * [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 6.319 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.319 * [taylor]: Taking taylor expansion of 0.5 in k 6.319 * [backup-simplify]: Simplify 0.5 into 0.5 6.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.319 * [taylor]: Taking taylor expansion of 1.0 in k 6.319 * [backup-simplify]: Simplify 1.0 into 1.0 6.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.319 * [taylor]: Taking taylor expansion of k in k 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (/ 1 1) into 1 6.319 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.319 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.319 * [taylor]: Taking taylor expansion of n in k 6.320 * [backup-simplify]: Simplify n into n 6.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.320 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.320 * [backup-simplify]: Simplify (- 1) into -1 6.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.321 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.321 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.321 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.321 * [taylor]: Taking taylor expansion of 0.5 in k 6.321 * [backup-simplify]: Simplify 0.5 into 0.5 6.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.322 * [taylor]: Taking taylor expansion of 1.0 in k 6.322 * [backup-simplify]: Simplify 1.0 into 1.0 6.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.322 * [taylor]: Taking taylor expansion of k in k 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (/ 1 1) into 1 6.322 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.322 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.322 * [taylor]: Taking taylor expansion of 2.0 in k 6.322 * [backup-simplify]: Simplify 2.0 into 2.0 6.322 * [taylor]: Taking taylor expansion of PI in k 6.322 * [backup-simplify]: Simplify PI into PI 6.323 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.324 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.324 * [backup-simplify]: Simplify (- 1) into -1 6.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.325 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.327 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.328 * [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))))) 6.328 * [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 6.328 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.328 * [taylor]: Taking taylor expansion of 0.5 in k 6.328 * [backup-simplify]: Simplify 0.5 into 0.5 6.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.328 * [taylor]: Taking taylor expansion of 1.0 in k 6.328 * [backup-simplify]: Simplify 1.0 into 1.0 6.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.328 * [taylor]: Taking taylor expansion of k in k 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.329 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.329 * [taylor]: Taking taylor expansion of n in k 6.329 * [backup-simplify]: Simplify n into n 6.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.329 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.329 * [backup-simplify]: Simplify (- 1) into -1 6.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.330 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.330 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.330 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.330 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.330 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.330 * [taylor]: Taking taylor expansion of 0.5 in k 6.330 * [backup-simplify]: Simplify 0.5 into 0.5 6.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.330 * [taylor]: Taking taylor expansion of 1.0 in k 6.330 * [backup-simplify]: Simplify 1.0 into 1.0 6.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.330 * [taylor]: Taking taylor expansion of k in k 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (/ 1 1) into 1 6.330 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.330 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.330 * [taylor]: Taking taylor expansion of 2.0 in k 6.330 * [backup-simplify]: Simplify 2.0 into 2.0 6.330 * [taylor]: Taking taylor expansion of PI in k 6.331 * [backup-simplify]: Simplify PI into PI 6.331 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.331 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.332 * [backup-simplify]: Simplify (- 1) into -1 6.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.332 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.333 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.334 * [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))))) 6.335 * [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)))))) 6.335 * [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 6.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.335 * [taylor]: Taking taylor expansion of 0.5 in n 6.335 * [backup-simplify]: Simplify 0.5 into 0.5 6.335 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.335 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.335 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.335 * [taylor]: Taking taylor expansion of n in n 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (/ 1 1) into 1 6.336 * [backup-simplify]: Simplify (log 1) into 0 6.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.336 * [taylor]: Taking taylor expansion of 1.0 in n 6.336 * [backup-simplify]: Simplify 1.0 into 1.0 6.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.336 * [taylor]: Taking taylor expansion of k in n 6.336 * [backup-simplify]: Simplify k into k 6.336 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.336 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.336 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.336 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 6.336 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.337 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 6.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 6.337 * [taylor]: Taking taylor expansion of 0.5 in n 6.337 * [backup-simplify]: Simplify 0.5 into 0.5 6.337 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 6.337 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.337 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.337 * [taylor]: Taking taylor expansion of 2.0 in n 6.337 * [backup-simplify]: Simplify 2.0 into 2.0 6.337 * [taylor]: Taking taylor expansion of PI in n 6.337 * [backup-simplify]: Simplify PI into PI 6.337 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.338 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.338 * [taylor]: Taking taylor expansion of 1.0 in n 6.338 * [backup-simplify]: Simplify 1.0 into 1.0 6.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.338 * [taylor]: Taking taylor expansion of k in n 6.338 * [backup-simplify]: Simplify k into k 6.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.338 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.338 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.339 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 6.339 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 6.340 * [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))))) 6.341 * [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)))))) 6.342 * [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)))))) 6.342 * [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 6.342 * [taylor]: Taking taylor expansion of 0 in n 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.343 * [backup-simplify]: Simplify (- 0) into 0 6.343 * [backup-simplify]: Simplify (+ 0 0) into 0 6.344 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.345 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.346 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 6.347 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.348 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.349 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 6.350 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.351 * [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 6.351 * [backup-simplify]: Simplify 0 into 0 6.352 * [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 6.352 * [taylor]: Taking taylor expansion of 0 in n 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.353 * [backup-simplify]: Simplify (- 0) into 0 6.353 * [backup-simplify]: Simplify (+ 0 0) into 0 6.353 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.355 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.356 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.357 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 6.360 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.361 * [backup-simplify]: Simplify (- 0) into 0 6.361 * [backup-simplify]: Simplify (+ 0 0) into 0 6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.366 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 6.368 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.370 * [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 6.370 * [backup-simplify]: Simplify 0 into 0 6.372 * [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 6.372 * [taylor]: Taking taylor expansion of 0 in n 6.372 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 0 into 0 6.374 * [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)))))) 6.383 * [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)))) 6.383 * [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 6.383 * [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 6.383 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.383 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.383 * [taylor]: Taking taylor expansion of 0.5 in n 6.383 * [backup-simplify]: Simplify 0.5 into 0.5 6.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.383 * [taylor]: Taking taylor expansion of k in n 6.384 * [backup-simplify]: Simplify k into k 6.384 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.384 * [taylor]: Taking taylor expansion of 1.0 in n 6.384 * [backup-simplify]: Simplify 1.0 into 1.0 6.384 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.384 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.384 * [taylor]: Taking taylor expansion of -1 in n 6.384 * [backup-simplify]: Simplify -1 into -1 6.384 * [taylor]: Taking taylor expansion of n in n 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [backup-simplify]: Simplify (/ -1 1) into -1 6.385 * [backup-simplify]: Simplify (log -1) into (log -1) 6.385 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.385 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.386 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.386 * [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)))) 6.386 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 6.386 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 6.386 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.386 * [taylor]: Taking taylor expansion of 0.5 in n 6.386 * [backup-simplify]: Simplify 0.5 into 0.5 6.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.386 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.386 * [taylor]: Taking taylor expansion of k in n 6.387 * [backup-simplify]: Simplify k into k 6.387 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.387 * [taylor]: Taking taylor expansion of 1.0 in n 6.387 * [backup-simplify]: Simplify 1.0 into 1.0 6.387 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.387 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.387 * [taylor]: Taking taylor expansion of 2.0 in n 6.387 * [backup-simplify]: Simplify 2.0 into 2.0 6.387 * [taylor]: Taking taylor expansion of PI in n 6.387 * [backup-simplify]: Simplify PI into PI 6.387 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.388 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.388 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.388 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.388 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 6.389 * [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)))) 6.389 * [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 6.389 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.389 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.389 * [taylor]: Taking taylor expansion of 0.5 in k 6.389 * [backup-simplify]: Simplify 0.5 into 0.5 6.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.389 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.389 * [taylor]: Taking taylor expansion of k in k 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify 1 into 1 6.390 * [backup-simplify]: Simplify (/ 1 1) into 1 6.390 * [taylor]: Taking taylor expansion of 1.0 in k 6.390 * [backup-simplify]: Simplify 1.0 into 1.0 6.390 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.390 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.390 * [taylor]: Taking taylor expansion of -1 in k 6.390 * [backup-simplify]: Simplify -1 into -1 6.390 * [taylor]: Taking taylor expansion of n in k 6.390 * [backup-simplify]: Simplify n into n 6.390 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.390 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.390 * [backup-simplify]: Simplify (+ 1 0) into 1 6.390 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.391 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.391 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.391 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.391 * [taylor]: Taking taylor expansion of 0.5 in k 6.391 * [backup-simplify]: Simplify 0.5 into 0.5 6.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.391 * [taylor]: Taking taylor expansion of k in k 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify 1 into 1 6.391 * [backup-simplify]: Simplify (/ 1 1) into 1 6.391 * [taylor]: Taking taylor expansion of 1.0 in k 6.391 * [backup-simplify]: Simplify 1.0 into 1.0 6.391 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.391 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.391 * [taylor]: Taking taylor expansion of 2.0 in k 6.391 * [backup-simplify]: Simplify 2.0 into 2.0 6.391 * [taylor]: Taking taylor expansion of PI in k 6.391 * [backup-simplify]: Simplify PI into PI 6.392 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.392 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.392 * [backup-simplify]: Simplify (+ 1 0) into 1 6.393 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.394 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.394 * [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)))) 6.394 * [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 6.394 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.395 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.395 * [taylor]: Taking taylor expansion of 0.5 in k 6.395 * [backup-simplify]: Simplify 0.5 into 0.5 6.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.395 * [taylor]: Taking taylor expansion of k in k 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 1 into 1 6.395 * [backup-simplify]: Simplify (/ 1 1) into 1 6.395 * [taylor]: Taking taylor expansion of 1.0 in k 6.395 * [backup-simplify]: Simplify 1.0 into 1.0 6.395 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.395 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.395 * [taylor]: Taking taylor expansion of -1 in k 6.395 * [backup-simplify]: Simplify -1 into -1 6.395 * [taylor]: Taking taylor expansion of n in k 6.395 * [backup-simplify]: Simplify n into n 6.395 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.395 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.395 * [backup-simplify]: Simplify (+ 1 0) into 1 6.396 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.396 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.396 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.396 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.396 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.396 * [taylor]: Taking taylor expansion of 0.5 in k 6.396 * [backup-simplify]: Simplify 0.5 into 0.5 6.396 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.396 * [taylor]: Taking taylor expansion of k in k 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.396 * [backup-simplify]: Simplify (/ 1 1) into 1 6.396 * [taylor]: Taking taylor expansion of 1.0 in k 6.396 * [backup-simplify]: Simplify 1.0 into 1.0 6.396 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.396 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.396 * [taylor]: Taking taylor expansion of 2.0 in k 6.396 * [backup-simplify]: Simplify 2.0 into 2.0 6.396 * [taylor]: Taking taylor expansion of PI in k 6.396 * [backup-simplify]: Simplify PI into PI 6.397 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.397 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.398 * [backup-simplify]: Simplify (+ 1 0) into 1 6.398 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.399 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.400 * [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)))) 6.401 * [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))))) 6.401 * [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 6.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.401 * [taylor]: Taking taylor expansion of 0.5 in n 6.401 * [backup-simplify]: Simplify 0.5 into 0.5 6.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.401 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.401 * [taylor]: Taking taylor expansion of k in n 6.401 * [backup-simplify]: Simplify k into k 6.401 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.401 * [taylor]: Taking taylor expansion of 1.0 in n 6.401 * [backup-simplify]: Simplify 1.0 into 1.0 6.401 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.401 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.401 * [taylor]: Taking taylor expansion of -1 in n 6.401 * [backup-simplify]: Simplify -1 into -1 6.401 * [taylor]: Taking taylor expansion of n in n 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.401 * [backup-simplify]: Simplify (/ -1 1) into -1 6.402 * [backup-simplify]: Simplify (log -1) into (log -1) 6.402 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.403 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 6.403 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.403 * [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)))) 6.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 6.403 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 6.403 * [taylor]: Taking taylor expansion of 0.5 in n 6.403 * [backup-simplify]: Simplify 0.5 into 0.5 6.403 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 6.403 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.403 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.403 * [taylor]: Taking taylor expansion of 2.0 in n 6.403 * [backup-simplify]: Simplify 2.0 into 2.0 6.403 * [taylor]: Taking taylor expansion of PI in n 6.404 * [backup-simplify]: Simplify PI into PI 6.404 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.404 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.405 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.405 * [taylor]: Taking taylor expansion of k in n 6.405 * [backup-simplify]: Simplify k into k 6.405 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.405 * [taylor]: Taking taylor expansion of 1.0 in n 6.405 * [backup-simplify]: Simplify 1.0 into 1.0 6.405 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.406 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 6.406 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 6.407 * [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)))) 6.408 * [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))))) 6.409 * [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))))) 6.410 * [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 6.410 * [taylor]: Taking taylor expansion of 0 in n 6.410 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.411 * [backup-simplify]: Simplify (+ 0 0) into 0 6.411 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.413 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.415 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 6.417 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.420 * [backup-simplify]: Simplify (+ 0 0) into 0 6.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.422 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 6.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 6.424 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.426 * [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 6.426 * [backup-simplify]: Simplify 0 into 0 6.428 * [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 6.429 * [taylor]: Taking taylor expansion of 0 in n 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.429 * [backup-simplify]: Simplify (+ 0 0) into 0 6.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.437 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 6.443 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.447 * [backup-simplify]: Simplify (+ 0 0) into 0 6.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.449 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 6.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 6.452 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.454 * [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 6.454 * [backup-simplify]: Simplify 0 into 0 6.457 * [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 6.457 * [taylor]: Taking taylor expansion of 0 in n 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.459 * [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)))))) 6.459 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.459 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.459 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.459 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.459 * [taylor]: Taking taylor expansion of 1.0 in k 6.459 * [backup-simplify]: Simplify 1.0 into 1.0 6.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.459 * [taylor]: Taking taylor expansion of k in k 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (/ 1 1) into 1 6.460 * [backup-simplify]: Simplify (sqrt 0) into 0 6.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.461 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.462 * [taylor]: Taking taylor expansion of 1.0 in k 6.462 * [backup-simplify]: Simplify 1.0 into 1.0 6.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.462 * [taylor]: Taking taylor expansion of k in k 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (/ 1 1) into 1 6.462 * [backup-simplify]: Simplify (sqrt 0) into 0 6.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.464 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.466 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.472 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.472 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.476 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.476 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.477 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.477 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.478 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.478 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.478 * [taylor]: Taking taylor expansion of 1.0 in k 6.478 * [backup-simplify]: Simplify 1.0 into 1.0 6.478 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.478 * [taylor]: Taking taylor expansion of k in k 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 1 into 1 6.478 * [backup-simplify]: Simplify (sqrt 0) into 0 6.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.479 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.479 * [taylor]: Taking taylor expansion of 1.0 in k 6.479 * [backup-simplify]: Simplify 1.0 into 1.0 6.479 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.479 * [taylor]: Taking taylor expansion of k in k 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 1 into 1 6.479 * [backup-simplify]: Simplify (sqrt 0) into 0 6.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.480 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.480 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.481 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.483 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.484 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.484 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.488 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.488 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.489 * [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)))))))) 6.489 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.489 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.489 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.489 * [taylor]: Taking taylor expansion of 1.0 in k 6.489 * [backup-simplify]: Simplify 1.0 into 1.0 6.489 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.489 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.489 * [taylor]: Taking taylor expansion of -1 in k 6.489 * [backup-simplify]: Simplify -1 into -1 6.489 * [taylor]: Taking taylor expansion of k in k 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ -1 1) into -1 6.490 * [backup-simplify]: Simplify (sqrt 0) into 0 6.490 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.491 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.491 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.491 * [taylor]: Taking taylor expansion of 1.0 in k 6.491 * [backup-simplify]: Simplify 1.0 into 1.0 6.491 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.491 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.491 * [taylor]: Taking taylor expansion of -1 in k 6.491 * [backup-simplify]: Simplify -1 into -1 6.491 * [taylor]: Taking taylor expansion of k in k 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify 1 into 1 6.491 * [backup-simplify]: Simplify (/ -1 1) into -1 6.491 * [backup-simplify]: Simplify (sqrt 0) into 0 6.492 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.492 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.492 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.495 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.496 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.497 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.512 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.512 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.514 * [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))))) 6.514 * * * [progress]: simplifying candidates 6.518 * [simplify]: Simplifying: (* (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)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +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))))) 6.520 * [simplify]: Sending expressions to egg_math: (* (log h1) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (pow h1 (/ 1.0 2.0)) (pow h1 (/ h0 2.0)) (pow h1 (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0)))) (pow h1 (sqrt (/ (- 1.0 h0) 2.0))) (pow h1 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0)))) (pow h1 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0))) (pow h1 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1)) (pow h1 (/ (sqrt (- 1.0 h0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow h1 (/ (sqrt (- 1.0 h0)) (sqrt 2.0))) (pow h1 (/ (sqrt (- 1.0 h0)) 1)) (pow h1 (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow h1 (/ 1 (sqrt 2.0))) (pow h1 (/ 1 1)) (pow h1 (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow h1 (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0))) (pow h1 (/ (+ (sqrt 1.0) (sqrt h0)) 1)) (pow h1 (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow h1 (/ 1 (sqrt 2.0))) (pow h1 (/ 1 1)) (pow h1 1) (pow h1 (- 1.0 h0)) (pow (* (cbrt h1) (cbrt h1)) (/ (- 1.0 h0) 2.0)) (pow (cbrt h1) (/ (- 1.0 h0) 2.0)) (pow (sqrt h1) (/ (- 1.0 h0) 2.0)) (pow (sqrt h1) (/ (- 1.0 h0) 2.0)) (pow 1 (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)) (log (pow h1 (/ (- 1.0 h0) 2.0))) (exp (pow h1 (/ (- 1.0 h0) 2.0))) (* (cbrt (pow h1 (/ (- 1.0 h0) 2.0))) (cbrt (pow h1 (/ (- 1.0 h0) 2.0)))) (cbrt (pow h1 (/ (- 1.0 h0) 2.0))) (* (* (pow h1 (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))) (pow h1 (/ (- 1.0 h0) 2.0))) (sqrt (pow h1 (/ (- 1.0 h0) 2.0))) (sqrt (pow h1 (/ (- 1.0 h0) 2.0))) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2)) (* (+ (log 2.0) (log h2)) (/ (- 1.0 h0) 2.0)) (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (pow (* 2.0 h2) (/ 1.0 2.0)) (pow (* 2.0 h2) (/ h0 2.0)) (pow (* 2.0 h2) (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0)))) (pow (* 2.0 h2) (sqrt (/ (- 1.0 h0) 2.0))) (pow (* 2.0 h2) (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 h2) (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0))) (pow (* 2.0 h2) (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1)) (pow (* 2.0 h2) (/ (sqrt (- 1.0 h0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 h2) (/ (sqrt (- 1.0 h0)) (sqrt 2.0))) (pow (* 2.0 h2) (/ (sqrt (- 1.0 h0)) 1)) (pow (* 2.0 h2) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 h2) (/ 1 (sqrt 2.0))) (pow (* 2.0 h2) (/ 1 1)) (pow (* 2.0 h2) (/ (+ (sqrt 1.0) (sqrt h0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 h2) (/ (+ (sqrt 1.0) (sqrt h0)) (sqrt 2.0))) (pow (* 2.0 h2) (/ (+ (sqrt 1.0) (sqrt h0)) 1)) (pow (* 2.0 h2) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 h2) (/ 1 (sqrt 2.0))) (pow (* 2.0 h2) (/ 1 1)) (pow (* 2.0 h2) 1) (pow (* 2.0 h2) (- 1.0 h0)) (pow 2.0 (/ (- 1.0 h0) 2.0)) (pow h2 (/ (- 1.0 h0) 2.0)) (log (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (exp (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (* (cbrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (cbrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)))) (cbrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (* (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (* 2.0 h2) h1) (+ (* (+ (log 2.0) (log h2)) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (* (+ (log 2.0) (log h2)) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (* (+ (log 2.0) (log h2)) (/ (- 1.0 h0) 2.0)) (log (pow h1 (/ (- 1.0 h0) 2.0)))) (+ (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (log (pow h1 (/ (- 1.0 h0) 2.0)))) (+ (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (* (log (* 2.0 h2)) (/ (- 1.0 h0) 2.0)) (log (pow h1 (/ (- 1.0 h0) 2.0)))) (+ (log (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (log (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (* (log h1) (/ (- 1.0 h0) 2.0))) (+ (log (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (log (pow h1 (/ (- 1.0 h0) 2.0)))) (log (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (exp (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (* (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (* (* (pow h1 (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (cbrt (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (cbrt (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))))) (cbrt (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (* (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (sqrt (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (sqrt (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ 1.0 2.0)) (pow h1 (/ 1.0 2.0))) (* (pow (* 2.0 h2) (/ h0 2.0)) (pow h1 (/ h0 2.0))) (* (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow (sqrt h1) (/ (- 1.0 h0) 2.0))) (* (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow (sqrt h1) (/ (- 1.0 h0) 2.0))) (* (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (sqrt (pow h1 (/ (- 1.0 h0) 2.0)))) (* (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (sqrt (pow h1 (/ (- 1.0 h0) 2.0)))) (* (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2))) (* (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (sqrt h1) (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (sqrt h1) (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (sqrt (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (sqrt (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow (* (cbrt h1) (cbrt h1)) (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow (sqrt h1) (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow 1 (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (* (cbrt (pow h1 (/ (- 1.0 h0) 2.0))) (cbrt (pow h1 (/ (- 1.0 h0) 2.0))))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (sqrt (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) 1) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (/ (- 1.0 h0) 2.0) 2))) (* (pow h2 (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))) (* (cbrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow h1 (/ (- 1.0 h0) 2.0))) (* (sqrt (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0))) (pow h1 (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (- 1.0 h0) 2.0)) (pow h1 (/ 1.0 2.0))) (* (pow (* 2.0 h2) (/ 1.0 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))) (- (log 1.0) (log (sqrt h0))) (log (/ 1.0 (sqrt h0))) (exp (/ 1.0 (sqrt h0))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt h0) (sqrt h0)) (sqrt h0))) (* (cbrt (/ 1.0 (sqrt h0))) (cbrt (/ 1.0 (sqrt h0)))) (cbrt (/ 1.0 (sqrt h0))) (* (* (/ 1.0 (sqrt h0)) (/ 1.0 (sqrt h0))) (/ 1.0 (sqrt h0))) (sqrt (/ 1.0 (sqrt h0))) (sqrt (/ 1.0 (sqrt h0))) (- 1.0) (- (sqrt h0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (cbrt 1.0) (cbrt (sqrt h0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (cbrt 1.0) (sqrt (cbrt h0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt h0))) (/ (cbrt 1.0) (sqrt (sqrt h0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt h0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt h0))) (/ (cbrt 1.0) (sqrt (sqrt h0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt h0)) (/ (sqrt 1.0) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt 1.0) (cbrt (sqrt h0))) (/ (sqrt 1.0) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt 1.0) (sqrt (cbrt h0))) (/ (sqrt 1.0) (sqrt (sqrt h0))) (/ (sqrt 1.0) (sqrt (sqrt h0))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt h0)) (/ (sqrt 1.0) (sqrt (sqrt h0))) (/ (sqrt 1.0) (sqrt (sqrt h0))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt h0)) (/ 1 (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ 1.0 (cbrt (sqrt h0))) (/ 1 (sqrt (* (cbrt h0) (cbrt h0)))) (/ 1.0 (sqrt (cbrt h0))) (/ 1 (sqrt (sqrt h0))) (/ 1.0 (sqrt (sqrt h0))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt h0)) (/ 1 (sqrt (sqrt h0))) (/ 1.0 (sqrt (sqrt h0))) (/ 1 1) (/ 1.0 (sqrt h0)) (/ 1 (sqrt h0)) (/ (sqrt h0) 1.0) (/ 1.0 (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ 1.0 (sqrt (* (cbrt h0) (cbrt h0)))) (/ 1.0 (sqrt (sqrt h0))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt h0))) (/ 1.0 1) (/ (sqrt h0) (cbrt 1.0)) (/ (sqrt h0) (sqrt 1.0)) (/ (sqrt h0) 1.0) (- (+ (* (/ 1.0 8.0) (* (* (pow h0 2) (pow (log h1) 2)) (pow (pow h1 1.0) (/ 1.0 2.0)))) (pow h1 (/ 1.0 2.0))) (* (/ 1.0 2.0) (* (* h0 (log h1)) (pow (pow h1 1.0) (/ 1.0 2.0))))) (exp (* (/ -1.0 2.0) (* (- 1.0 h0) (log (/ 1 h1))))) (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log -1) (log (/ -1 h1)))))) (- (+ (* (/ 1.0 8.0) (* (* (pow h0 2) (pow (log (* 2.0 h2)) 2)) (pow (* (pow 2.0 1.0) (pow h2 1.0)) (/ 1.0 2.0)))) (pow (* 2.0 h2) (/ 1.0 2.0))) (* (/ 1.0 2.0) (* (* h0 (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (pow h2 1.0)) (/ 1.0 2.0))))) (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (log (* 2.0 h2))))) (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (log (* 2.0 h2))))) (- (+ (* (/ 1.0 8.0) (* (* (pow h0 2) (pow (log h1) 2)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (+ (* (/ 1.0 8.0) (* (* (pow h0 2) (pow (log (* 2.0 h2)) 2)) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) (/ 1.0 2.0)))) (+ (* (/ 1.0 4.0) (* (* (pow h0 2) (* (log (* 2.0 h2)) (log h1))) (pow (* (pow h2 1.0) (* (pow 2.0 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (pow (pow (pow (pow (pow (pow (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) (/ 1.0 2.0))))) (+ (* (/ 1.0 2.0) (* (* h0 (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (* (/ 1.0 2.0) (* (* h0 (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0)))))) (* (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (log (* 2.0 h2))))) (exp (* (/ -1.0 2.0) (* (- 1.0 h0) (log (/ 1 h1)))))) (* (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log -1) (log (/ -1 h1)))))) (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (log (* 2.0 h2)))))) (- (+ (* h3 h0) (- (+ (* h3 (pow h0 2)) (- h3))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- (* h3 (/ 1 (pow h0 3)))))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- h3))))) 7.864 * * * [progress]: adding candidates to table 8.616 * * [progress]: iteration 3 / 4 8.616 * * * [progress]: picking best candidate 8.662 * * * * [pick]: Picked # 8.662 * * * [progress]: localizing error 8.711 * * * [progress]: generating rewritten candidates 8.711 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 8.722 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.734 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.987 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 9.082 * * * [progress]: generating series expansions 9.083 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 9.083 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 9.083 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 9.083 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 9.083 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 9.083 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 9.083 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.083 * [taylor]: Taking taylor expansion of 0.5 in k 9.083 * [backup-simplify]: Simplify 0.5 into 0.5 9.083 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.083 * [taylor]: Taking taylor expansion of 1.0 in k 9.083 * [backup-simplify]: Simplify 1.0 into 1.0 9.083 * [taylor]: Taking taylor expansion of k in k 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [taylor]: Taking taylor expansion of (log n) in k 9.083 * [taylor]: Taking taylor expansion of n in k 9.083 * [backup-simplify]: Simplify n into n 9.083 * [backup-simplify]: Simplify (log n) into (log n) 9.084 * [backup-simplify]: Simplify (- 0) into 0 9.084 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.084 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.084 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 9.084 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.084 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.084 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.084 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.084 * [taylor]: Taking taylor expansion of 0.5 in n 9.084 * [backup-simplify]: Simplify 0.5 into 0.5 9.084 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.084 * [taylor]: Taking taylor expansion of 1.0 in n 9.084 * [backup-simplify]: Simplify 1.0 into 1.0 9.084 * [taylor]: Taking taylor expansion of k in n 9.084 * [backup-simplify]: Simplify k into k 9.084 * [taylor]: Taking taylor expansion of (log n) in n 9.084 * [taylor]: Taking taylor expansion of n in n 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (log 1) into 0 9.085 * [backup-simplify]: Simplify (- k) into (- k) 9.085 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.085 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.085 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.085 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.085 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.085 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.085 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.086 * [taylor]: Taking taylor expansion of 0.5 in n 9.086 * [backup-simplify]: Simplify 0.5 into 0.5 9.086 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.086 * [taylor]: Taking taylor expansion of 1.0 in n 9.086 * [backup-simplify]: Simplify 1.0 into 1.0 9.086 * [taylor]: Taking taylor expansion of k in n 9.086 * [backup-simplify]: Simplify k into k 9.086 * [taylor]: Taking taylor expansion of (log n) in n 9.086 * [taylor]: Taking taylor expansion of n in n 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.086 * [backup-simplify]: Simplify (log 1) into 0 9.086 * [backup-simplify]: Simplify (- k) into (- k) 9.086 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.086 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.086 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.086 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.087 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 9.087 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 9.087 * [taylor]: Taking taylor expansion of 0.5 in k 9.087 * [backup-simplify]: Simplify 0.5 into 0.5 9.087 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 9.087 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.087 * [taylor]: Taking taylor expansion of 1.0 in k 9.087 * [backup-simplify]: Simplify 1.0 into 1.0 9.087 * [taylor]: Taking taylor expansion of k in k 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 1 into 1 9.087 * [taylor]: Taking taylor expansion of (log n) in k 9.087 * [taylor]: Taking taylor expansion of n in k 9.087 * [backup-simplify]: Simplify n into n 9.087 * [backup-simplify]: Simplify (log n) into (log n) 9.087 * [backup-simplify]: Simplify (- 0) into 0 9.087 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.087 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.088 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 9.088 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.088 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 9.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.089 * [backup-simplify]: Simplify (- 0) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 9.090 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.090 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 9.090 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.090 * [taylor]: Taking taylor expansion of 0 in k 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.091 * [backup-simplify]: Simplify (- 1) into -1 9.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.092 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 9.092 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 9.092 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 9.092 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 9.094 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.094 * [backup-simplify]: Simplify (- 0) into 0 9.094 * [backup-simplify]: Simplify (+ 0 0) into 0 9.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.095 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 9.096 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.096 * [taylor]: Taking taylor expansion of 0 in k 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.098 * [backup-simplify]: Simplify (- 0) into 0 9.098 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 9.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 9.101 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 9.101 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 9.103 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 9.103 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 9.103 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.103 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 9.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 9.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.103 * [taylor]: Taking taylor expansion of 0.5 in k 9.103 * [backup-simplify]: Simplify 0.5 into 0.5 9.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.103 * [taylor]: Taking taylor expansion of 1.0 in k 9.103 * [backup-simplify]: Simplify 1.0 into 1.0 9.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.104 * [taylor]: Taking taylor expansion of k in k 9.104 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify 1 into 1 9.104 * [backup-simplify]: Simplify (/ 1 1) into 1 9.104 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 9.104 * [taylor]: Taking taylor expansion of (/ 1 n) in k 9.104 * [taylor]: Taking taylor expansion of n in k 9.104 * [backup-simplify]: Simplify n into n 9.104 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.104 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 9.105 * [backup-simplify]: Simplify (- 1) into -1 9.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.106 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.106 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 9.106 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 9.106 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.106 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.106 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.106 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.106 * [taylor]: Taking taylor expansion of 0.5 in n 9.106 * [backup-simplify]: Simplify 0.5 into 0.5 9.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.106 * [taylor]: Taking taylor expansion of 1.0 in n 9.106 * [backup-simplify]: Simplify 1.0 into 1.0 9.106 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.106 * [taylor]: Taking taylor expansion of k in n 9.107 * [backup-simplify]: Simplify k into k 9.107 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.107 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.107 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.107 * [taylor]: Taking taylor expansion of n in n 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 1 into 1 9.107 * [backup-simplify]: Simplify (/ 1 1) into 1 9.108 * [backup-simplify]: Simplify (log 1) into 0 9.108 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.108 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.108 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.108 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.109 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 9.109 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.109 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.109 * [taylor]: Taking taylor expansion of 0.5 in n 9.109 * [backup-simplify]: Simplify 0.5 into 0.5 9.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.109 * [taylor]: Taking taylor expansion of 1.0 in n 9.109 * [backup-simplify]: Simplify 1.0 into 1.0 9.109 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.109 * [taylor]: Taking taylor expansion of k in n 9.109 * [backup-simplify]: Simplify k into k 9.109 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.109 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.109 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.109 * [taylor]: Taking taylor expansion of n in n 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 1 into 1 9.110 * [backup-simplify]: Simplify (/ 1 1) into 1 9.110 * [backup-simplify]: Simplify (log 1) into 0 9.110 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.111 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.111 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.111 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.111 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 9.112 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.112 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 9.112 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 9.112 * [taylor]: Taking taylor expansion of -0.5 in k 9.112 * [backup-simplify]: Simplify -0.5 into -0.5 9.112 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 9.112 * [taylor]: Taking taylor expansion of (log n) in k 9.112 * [taylor]: Taking taylor expansion of n in k 9.112 * [backup-simplify]: Simplify n into n 9.112 * [backup-simplify]: Simplify (log n) into (log n) 9.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.112 * [taylor]: Taking taylor expansion of 1.0 in k 9.112 * [backup-simplify]: Simplify 1.0 into 1.0 9.112 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.112 * [taylor]: Taking taylor expansion of k in k 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.113 * [backup-simplify]: Simplify (/ 1 1) into 1 9.113 * [backup-simplify]: Simplify (- 1) into -1 9.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.114 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 9.114 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 9.114 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.114 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.117 * [backup-simplify]: Simplify (- 0) into 0 9.118 * [backup-simplify]: Simplify (+ 0 0) into 0 9.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.119 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 9.120 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.120 * [taylor]: Taking taylor expansion of 0 in k 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.125 * [backup-simplify]: Simplify (- 0) into 0 9.125 * [backup-simplify]: Simplify (+ 0 0) into 0 9.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.126 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.127 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 9.128 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.128 * [taylor]: Taking taylor expansion of 0 in k 9.128 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.135 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.136 * [backup-simplify]: Simplify (- 0) into 0 9.136 * [backup-simplify]: Simplify (+ 0 0) into 0 9.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.139 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 9.141 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.141 * [taylor]: Taking taylor expansion of 0 in k 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 9.141 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 9.141 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.141 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.142 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 9.142 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 9.142 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.142 * [taylor]: Taking taylor expansion of 0.5 in k 9.142 * [backup-simplify]: Simplify 0.5 into 0.5 9.142 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.142 * [taylor]: Taking taylor expansion of k in k 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [backup-simplify]: Simplify (/ 1 1) into 1 9.142 * [taylor]: Taking taylor expansion of 1.0 in k 9.142 * [backup-simplify]: Simplify 1.0 into 1.0 9.142 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 9.142 * [taylor]: Taking taylor expansion of (/ -1 n) in k 9.142 * [taylor]: Taking taylor expansion of -1 in k 9.142 * [backup-simplify]: Simplify -1 into -1 9.142 * [taylor]: Taking taylor expansion of n in k 9.142 * [backup-simplify]: Simplify n into n 9.143 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 9.143 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 9.143 * [backup-simplify]: Simplify (+ 1 0) into 1 9.143 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.144 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 9.144 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 9.144 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.144 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.144 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.144 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.144 * [taylor]: Taking taylor expansion of 0.5 in n 9.144 * [backup-simplify]: Simplify 0.5 into 0.5 9.144 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.144 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.144 * [taylor]: Taking taylor expansion of k in n 9.144 * [backup-simplify]: Simplify k into k 9.144 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.144 * [taylor]: Taking taylor expansion of 1.0 in n 9.144 * [backup-simplify]: Simplify 1.0 into 1.0 9.144 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.144 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.144 * [taylor]: Taking taylor expansion of -1 in n 9.144 * [backup-simplify]: Simplify -1 into -1 9.144 * [taylor]: Taking taylor expansion of n in n 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (/ -1 1) into -1 9.145 * [backup-simplify]: Simplify (log -1) into (log -1) 9.145 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.146 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.147 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.147 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.148 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.148 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.148 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.148 * [taylor]: Taking taylor expansion of 0.5 in n 9.148 * [backup-simplify]: Simplify 0.5 into 0.5 9.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.148 * [taylor]: Taking taylor expansion of k in n 9.148 * [backup-simplify]: Simplify k into k 9.148 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.148 * [taylor]: Taking taylor expansion of 1.0 in n 9.148 * [backup-simplify]: Simplify 1.0 into 1.0 9.148 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.148 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.148 * [taylor]: Taking taylor expansion of -1 in n 9.148 * [backup-simplify]: Simplify -1 into -1 9.148 * [taylor]: Taking taylor expansion of n in n 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (/ -1 1) into -1 9.149 * [backup-simplify]: Simplify (log -1) into (log -1) 9.149 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.149 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.151 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.151 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 9.151 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 9.151 * [taylor]: Taking taylor expansion of 0.5 in k 9.151 * [backup-simplify]: Simplify 0.5 into 0.5 9.151 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 9.151 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 9.152 * [taylor]: Taking taylor expansion of (log -1) in k 9.152 * [taylor]: Taking taylor expansion of -1 in k 9.152 * [backup-simplify]: Simplify -1 into -1 9.152 * [backup-simplify]: Simplify (log -1) into (log -1) 9.152 * [taylor]: Taking taylor expansion of (log n) in k 9.152 * [taylor]: Taking taylor expansion of n in k 9.152 * [backup-simplify]: Simplify n into n 9.152 * [backup-simplify]: Simplify (log n) into (log n) 9.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.152 * [taylor]: Taking taylor expansion of k in k 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (/ 1 1) into 1 9.153 * [taylor]: Taking taylor expansion of 1.0 in k 9.153 * [backup-simplify]: Simplify 1.0 into 1.0 9.153 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.153 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 9.162 * [backup-simplify]: Simplify (+ 1 0) into 1 9.163 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 9.164 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 9.164 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.165 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.168 * [backup-simplify]: Simplify (+ 0 0) into 0 9.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.170 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 9.170 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.171 * [taylor]: Taking taylor expansion of 0 in k 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.173 * [backup-simplify]: Simplify (+ 0 0) into 0 9.174 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.174 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.175 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 9.176 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.176 * [taylor]: Taking taylor expansion of 0 in k 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.179 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 9.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.180 * [backup-simplify]: Simplify (+ 0 0) into 0 9.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.182 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 9.183 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.183 * [taylor]: Taking taylor expansion of 0 in k 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 9.184 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.184 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.184 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.184 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.184 * [taylor]: Taking taylor expansion of 1.0 in k 9.184 * [backup-simplify]: Simplify 1.0 into 1.0 9.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.184 * [taylor]: Taking taylor expansion of k in k 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [backup-simplify]: Simplify (/ 1 1) into 1 9.185 * [backup-simplify]: Simplify (sqrt 0) into 0 9.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.186 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.186 * [taylor]: Taking taylor expansion of 1.0 in k 9.186 * [backup-simplify]: Simplify 1.0 into 1.0 9.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.186 * [taylor]: Taking taylor expansion of k in k 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (/ 1 1) into 1 9.186 * [backup-simplify]: Simplify (sqrt 0) into 0 9.187 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.187 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.187 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.188 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.192 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.192 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.196 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.196 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.197 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.197 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.198 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.198 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.198 * [taylor]: Taking taylor expansion of 1.0 in k 9.198 * [backup-simplify]: Simplify 1.0 into 1.0 9.198 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.198 * [taylor]: Taking taylor expansion of k in k 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 1 into 1 9.198 * [backup-simplify]: Simplify (sqrt 0) into 0 9.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.199 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.199 * [taylor]: Taking taylor expansion of 1.0 in k 9.200 * [backup-simplify]: Simplify 1.0 into 1.0 9.200 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.200 * [taylor]: Taking taylor expansion of k in k 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (sqrt 0) into 0 9.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.202 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.204 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.207 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.208 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.209 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.215 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.215 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.217 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 9.217 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.217 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.217 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.217 * [taylor]: Taking taylor expansion of 1.0 in k 9.217 * [backup-simplify]: Simplify 1.0 into 1.0 9.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.217 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.217 * [taylor]: Taking taylor expansion of -1 in k 9.217 * [backup-simplify]: Simplify -1 into -1 9.218 * [taylor]: Taking taylor expansion of k in k 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify 1 into 1 9.218 * [backup-simplify]: Simplify (/ -1 1) into -1 9.218 * [backup-simplify]: Simplify (sqrt 0) into 0 9.220 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.220 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.220 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.220 * [taylor]: Taking taylor expansion of 1.0 in k 9.220 * [backup-simplify]: Simplify 1.0 into 1.0 9.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.220 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.220 * [taylor]: Taking taylor expansion of -1 in k 9.220 * [backup-simplify]: Simplify -1 into -1 9.220 * [taylor]: Taking taylor expansion of k in k 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (/ -1 1) into -1 9.221 * [backup-simplify]: Simplify (sqrt 0) into 0 9.223 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.223 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.223 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.230 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.230 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.239 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.240 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.241 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 9.241 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.243 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) 9.243 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in (k n) around 0 9.243 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in n 9.243 * [taylor]: Taking taylor expansion of 1.0 in n 9.243 * [backup-simplify]: Simplify 1.0 into 1.0 9.243 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in n 9.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.243 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.243 * [taylor]: Taking taylor expansion of k in n 9.243 * [backup-simplify]: Simplify k into k 9.243 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.243 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 9.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 9.244 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 9.244 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.244 * [taylor]: Taking taylor expansion of 0.5 in n 9.244 * [backup-simplify]: Simplify 0.5 into 0.5 9.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.244 * [taylor]: Taking taylor expansion of 1.0 in n 9.244 * [backup-simplify]: Simplify 1.0 into 1.0 9.244 * [taylor]: Taking taylor expansion of k in n 9.244 * [backup-simplify]: Simplify k into k 9.244 * [taylor]: Taking taylor expansion of (log n) in n 9.244 * [taylor]: Taking taylor expansion of n in n 9.244 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify 1 into 1 9.245 * [backup-simplify]: Simplify (log 1) into 0 9.245 * [backup-simplify]: Simplify (- k) into (- k) 9.245 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.245 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.245 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.245 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.246 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.246 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 9.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 9.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 9.246 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 9.246 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 9.246 * [taylor]: Taking taylor expansion of 0.25 in n 9.246 * [backup-simplify]: Simplify 0.25 into 0.25 9.246 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.246 * [taylor]: Taking taylor expansion of 1.0 in n 9.246 * [backup-simplify]: Simplify 1.0 into 1.0 9.246 * [taylor]: Taking taylor expansion of k in n 9.246 * [backup-simplify]: Simplify k into k 9.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 9.246 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 9.246 * [taylor]: Taking taylor expansion of 2.0 in n 9.246 * [backup-simplify]: Simplify 2.0 into 2.0 9.246 * [taylor]: Taking taylor expansion of PI in n 9.246 * [backup-simplify]: Simplify PI into PI 9.247 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.248 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.248 * [backup-simplify]: Simplify (- k) into (- k) 9.248 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.248 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 9.249 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 9.250 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 9.250 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 9.250 * [taylor]: Taking taylor expansion of 1.0 in k 9.250 * [backup-simplify]: Simplify 1.0 into 1.0 9.251 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 9.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.251 * [taylor]: Taking taylor expansion of k in k 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.251 * [backup-simplify]: Simplify (/ 1 1) into 1 9.251 * [backup-simplify]: Simplify (sqrt 0) into 0 9.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.253 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 9.253 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 9.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 9.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 9.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.253 * [taylor]: Taking taylor expansion of 0.5 in k 9.253 * [backup-simplify]: Simplify 0.5 into 0.5 9.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.253 * [taylor]: Taking taylor expansion of 1.0 in k 9.253 * [backup-simplify]: Simplify 1.0 into 1.0 9.253 * [taylor]: Taking taylor expansion of k in k 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.253 * [taylor]: Taking taylor expansion of (log n) in k 9.253 * [taylor]: Taking taylor expansion of n in k 9.253 * [backup-simplify]: Simplify n into n 9.253 * [backup-simplify]: Simplify (log n) into (log n) 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.255 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.255 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 9.255 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.255 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 9.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 9.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.255 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 9.255 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 9.255 * [taylor]: Taking taylor expansion of 0.25 in k 9.255 * [backup-simplify]: Simplify 0.25 into 0.25 9.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.255 * [taylor]: Taking taylor expansion of 1.0 in k 9.255 * [backup-simplify]: Simplify 1.0 into 1.0 9.255 * [taylor]: Taking taylor expansion of k in k 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.255 * [taylor]: Taking taylor expansion of 2.0 in k 9.255 * [backup-simplify]: Simplify 2.0 into 2.0 9.255 * [taylor]: Taking taylor expansion of PI in k 9.255 * [backup-simplify]: Simplify PI into PI 9.256 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.257 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.257 * [backup-simplify]: Simplify (- 0) into 0 9.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.258 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 9.260 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 9.263 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 9.263 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 9.263 * [taylor]: Taking taylor expansion of 1.0 in k 9.263 * [backup-simplify]: Simplify 1.0 into 1.0 9.263 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 9.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.263 * [taylor]: Taking taylor expansion of k in k 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.264 * [backup-simplify]: Simplify (/ 1 1) into 1 9.264 * [backup-simplify]: Simplify (sqrt 0) into 0 9.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.265 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 9.265 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 9.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 9.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 9.266 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.266 * [taylor]: Taking taylor expansion of 0.5 in k 9.266 * [backup-simplify]: Simplify 0.5 into 0.5 9.266 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.266 * [taylor]: Taking taylor expansion of 1.0 in k 9.266 * [backup-simplify]: Simplify 1.0 into 1.0 9.266 * [taylor]: Taking taylor expansion of k in k 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.266 * [taylor]: Taking taylor expansion of (log n) in k 9.266 * [taylor]: Taking taylor expansion of n in k 9.266 * [backup-simplify]: Simplify n into n 9.266 * [backup-simplify]: Simplify (log n) into (log n) 9.267 * [backup-simplify]: Simplify (- 0) into 0 9.267 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.268 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.268 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 9.268 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.268 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 9.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 9.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.268 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 9.268 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 9.268 * [taylor]: Taking taylor expansion of 0.25 in k 9.268 * [backup-simplify]: Simplify 0.25 into 0.25 9.268 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.268 * [taylor]: Taking taylor expansion of 1.0 in k 9.268 * [backup-simplify]: Simplify 1.0 into 1.0 9.268 * [taylor]: Taking taylor expansion of k in k 9.268 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify 1 into 1 9.268 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.268 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.268 * [taylor]: Taking taylor expansion of 2.0 in k 9.268 * [backup-simplify]: Simplify 2.0 into 2.0 9.268 * [taylor]: Taking taylor expansion of PI in k 9.268 * [backup-simplify]: Simplify PI into PI 9.269 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.270 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.270 * [backup-simplify]: Simplify (- 0) into 0 9.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.271 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 9.273 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 9.276 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 9.279 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 9.282 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 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) 9.284 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 9.284 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.284 * [taylor]: Taking taylor expansion of 0 in n 9.284 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.287 * [backup-simplify]: Simplify (- 1) into -1 9.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.289 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 9.302 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 9.316 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 9.338 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 9.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.340 * [backup-simplify]: Simplify (- 1) into -1 9.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.342 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.343 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 9.343 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 9.356 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 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))) (pow (* (pow PI 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 9.361 * [backup-simplify]: Simplify (+ (* 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 9.363 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 9.363 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.363 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.363 * [taylor]: Taking taylor expansion of +nan.0 in n 9.363 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.363 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.363 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.363 * [taylor]: Taking taylor expansion of 0.5 in n 9.364 * [backup-simplify]: Simplify 0.5 into 0.5 9.364 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.364 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.364 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.364 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.364 * [taylor]: Taking taylor expansion of 1.0 in n 9.364 * [backup-simplify]: Simplify 1.0 into 1.0 9.364 * [taylor]: Taking taylor expansion of (log PI) in n 9.364 * [taylor]: Taking taylor expansion of PI in n 9.364 * [backup-simplify]: Simplify PI into PI 9.364 * [backup-simplify]: Simplify (log PI) into (log PI) 9.365 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.367 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.367 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.367 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.367 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.367 * [taylor]: Taking taylor expansion of 1.0 in n 9.367 * [backup-simplify]: Simplify 1.0 into 1.0 9.367 * [taylor]: Taking taylor expansion of (log n) in n 9.367 * [taylor]: Taking taylor expansion of n in n 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.368 * [backup-simplify]: Simplify (log 1) into 0 9.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.368 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.368 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.369 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.369 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.369 * [taylor]: Taking taylor expansion of 1.0 in n 9.369 * [backup-simplify]: Simplify 1.0 into 1.0 9.369 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.369 * [taylor]: Taking taylor expansion of 2.0 in n 9.369 * [backup-simplify]: Simplify 2.0 into 2.0 9.369 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.370 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.372 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.372 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 9.373 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 9.375 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 9.376 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 9.378 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.379 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 9.381 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 9.382 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 9.382 * [backup-simplify]: Simplify 0 into 0 9.383 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 9.387 * [backup-simplify]: Simplify (- 0) into 0 9.388 * [backup-simplify]: Simplify (+ 0 0) into 0 9.389 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.390 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 9.406 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 9.463 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.466 * [backup-simplify]: Simplify (- 0) into 0 9.466 * [backup-simplify]: Simplify (+ 0 0) into 0 9.467 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 9.470 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 9.486 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 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))) (- (* 0.5 (* (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))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 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))))) 9.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.497 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 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)))))) (+ (* +nan.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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 9.501 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 9.501 * [taylor]: Taking taylor expansion of (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 9.501 * [taylor]: Taking taylor expansion of (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 9.502 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.502 * [taylor]: Taking taylor expansion of +nan.0 in n 9.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.502 * [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 9.502 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 9.502 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 9.502 * [taylor]: Taking taylor expansion of 2.0 in n 9.502 * [backup-simplify]: Simplify 2.0 into 2.0 9.502 * [taylor]: Taking taylor expansion of PI in n 9.502 * [backup-simplify]: Simplify PI into PI 9.502 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.503 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.503 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.503 * [taylor]: Taking taylor expansion of 0.5 in n 9.503 * [backup-simplify]: Simplify 0.5 into 0.5 9.503 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.503 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.503 * [taylor]: Taking taylor expansion of 1.0 in n 9.503 * [backup-simplify]: Simplify 1.0 into 1.0 9.503 * [taylor]: Taking taylor expansion of (log PI) in n 9.503 * [taylor]: Taking taylor expansion of PI in n 9.503 * [backup-simplify]: Simplify PI into PI 9.503 * [backup-simplify]: Simplify (log PI) into (log PI) 9.504 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.505 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.505 * [taylor]: Taking taylor expansion of 1.0 in n 9.505 * [backup-simplify]: Simplify 1.0 into 1.0 9.505 * [taylor]: Taking taylor expansion of (log n) in n 9.505 * [taylor]: Taking taylor expansion of n in n 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.505 * [backup-simplify]: Simplify (log 1) into 0 9.505 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.505 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.505 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.506 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.506 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.506 * [taylor]: Taking taylor expansion of 1.0 in n 9.506 * [backup-simplify]: Simplify 1.0 into 1.0 9.506 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.506 * [taylor]: Taking taylor expansion of 2.0 in n 9.506 * [backup-simplify]: Simplify 2.0 into 2.0 9.506 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.506 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.507 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.508 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 9.508 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 9.510 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 9.511 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 9.512 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.512 * [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 n)))))) in n 9.512 * [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 n))))) in n 9.513 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.513 * [taylor]: Taking taylor expansion of +nan.0 in n 9.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.513 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.513 * [taylor]: Taking taylor expansion of 0.5 in n 9.513 * [backup-simplify]: Simplify 0.5 into 0.5 9.513 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.513 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.513 * [taylor]: Taking taylor expansion of 1.0 in n 9.513 * [backup-simplify]: Simplify 1.0 into 1.0 9.513 * [taylor]: Taking taylor expansion of (log PI) in n 9.513 * [taylor]: Taking taylor expansion of PI in n 9.513 * [backup-simplify]: Simplify PI into PI 9.514 * [backup-simplify]: Simplify (log PI) into (log PI) 9.514 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.516 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.516 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.516 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.516 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.516 * [taylor]: Taking taylor expansion of 1.0 in n 9.516 * [backup-simplify]: Simplify 1.0 into 1.0 9.516 * [taylor]: Taking taylor expansion of (log n) in n 9.516 * [taylor]: Taking taylor expansion of n in n 9.516 * [backup-simplify]: Simplify 0 into 0 9.516 * [backup-simplify]: Simplify 1 into 1 9.517 * [backup-simplify]: Simplify (log 1) into 0 9.517 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.517 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.517 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.517 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.518 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.518 * [taylor]: Taking taylor expansion of 1.0 in n 9.518 * [backup-simplify]: Simplify 1.0 into 1.0 9.518 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.518 * [taylor]: Taking taylor expansion of 2.0 in n 9.518 * [backup-simplify]: Simplify 2.0 into 2.0 9.518 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.519 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.521 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.522 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 9.523 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 9.524 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 9.525 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 9.527 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.527 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 9.527 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 9.527 * [taylor]: Taking taylor expansion of +nan.0 in n 9.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.527 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 9.527 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.527 * [taylor]: Taking taylor expansion of 0.5 in n 9.527 * [backup-simplify]: Simplify 0.5 into 0.5 9.527 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.528 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.528 * [taylor]: Taking taylor expansion of 1.0 in n 9.528 * [backup-simplify]: Simplify 1.0 into 1.0 9.528 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.528 * [taylor]: Taking taylor expansion of 2.0 in n 9.528 * [backup-simplify]: Simplify 2.0 into 2.0 9.528 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.529 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.531 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.531 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.531 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.531 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.531 * [taylor]: Taking taylor expansion of 1.0 in n 9.531 * [backup-simplify]: Simplify 1.0 into 1.0 9.531 * [taylor]: Taking taylor expansion of (log PI) in n 9.531 * [taylor]: Taking taylor expansion of PI in n 9.531 * [backup-simplify]: Simplify PI into PI 9.531 * [backup-simplify]: Simplify (log PI) into (log PI) 9.532 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.534 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.534 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.534 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.534 * [taylor]: Taking taylor expansion of 1.0 in n 9.534 * [backup-simplify]: Simplify 1.0 into 1.0 9.534 * [taylor]: Taking taylor expansion of (log n) in n 9.534 * [taylor]: Taking taylor expansion of n in n 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify 1 into 1 9.534 * [backup-simplify]: Simplify (log 1) into 0 9.535 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.535 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.535 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.536 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.537 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 9.538 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 9.540 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 9.541 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.541 * [taylor]: Taking taylor expansion of (log n) in n 9.541 * [taylor]: Taking taylor expansion of n in n 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 1 into 1 9.542 * [backup-simplify]: Simplify (log 1) into 0 9.544 * [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)) 9.547 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 9.548 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 9.549 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.550 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 9.551 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 9.553 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 9.556 * [backup-simplify]: Simplify (+ (* +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))))) 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)))))) 9.559 * [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))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 9.563 * [backup-simplify]: Simplify (+ (* +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 (* (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))))))) 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 (* (log n) (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))))))) 9.566 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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))) (- (* +nan.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)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 9.570 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (log n) (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))))))) 9.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 9.572 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 9.573 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 9.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.574 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 9.574 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 9.575 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 9.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.582 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 9.583 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 9.584 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 9.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 9.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 9.588 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.589 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 9.589 * [backup-simplify]: Simplify (- 0) into 0 9.589 * [backup-simplify]: Simplify 0 into 0 9.590 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.597 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 9.598 * [backup-simplify]: Simplify (- 0) into 0 9.598 * [backup-simplify]: Simplify (+ 0 0) into 0 9.599 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 9.601 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 9.621 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 9.704 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))))) into (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 9.707 * [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 9.708 * [backup-simplify]: Simplify (- 0) into 0 9.708 * [backup-simplify]: Simplify (+ 0 0) into 0 9.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 9.711 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 9.713 * [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))) 9.756 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (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)))) (+ (* (* 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))))) (* (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 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))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 9.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.788 * [backup-simplify]: Simplify (+ (* 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))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 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)))))) (+ (* +nan.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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +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)) (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +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 (* 2.0 PI)) (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) (pow (log n) 2)))))))))))))) 9.814 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +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 (* 2.0 PI)) (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) (pow (log n) 2))))))))))))))) (+ (* 0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 9.814 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 9.814 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 9.814 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 9.814 * [taylor]: Taking taylor expansion of +nan.0 in n 9.815 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.815 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.815 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.815 * [taylor]: Taking taylor expansion of 0.5 in n 9.815 * [backup-simplify]: Simplify 0.5 into 0.5 9.815 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.815 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.815 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.815 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.815 * [taylor]: Taking taylor expansion of 1.0 in n 9.815 * [backup-simplify]: Simplify 1.0 into 1.0 9.815 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.815 * [taylor]: Taking taylor expansion of 2.0 in n 9.815 * [backup-simplify]: Simplify 2.0 into 2.0 9.815 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.816 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.818 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.818 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.818 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.818 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.818 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.818 * [taylor]: Taking taylor expansion of 1.0 in n 9.818 * [backup-simplify]: Simplify 1.0 into 1.0 9.818 * [taylor]: Taking taylor expansion of (log n) in n 9.818 * [taylor]: Taking taylor expansion of n in n 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify 1 into 1 9.819 * [backup-simplify]: Simplify (log 1) into 0 9.819 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.819 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.819 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.819 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.819 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.819 * [taylor]: Taking taylor expansion of 1.0 in n 9.819 * [backup-simplify]: Simplify 1.0 into 1.0 9.820 * [taylor]: Taking taylor expansion of (log PI) in n 9.820 * [taylor]: Taking taylor expansion of PI in n 9.820 * [backup-simplify]: Simplify PI into PI 9.820 * [backup-simplify]: Simplify (log PI) into (log PI) 9.821 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.823 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.823 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.825 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 9.826 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 9.827 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 9.829 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.829 * [taylor]: Taking taylor expansion of (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 9.829 * [taylor]: Taking taylor expansion of (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 9.829 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.829 * [taylor]: Taking taylor expansion of +nan.0 in n 9.829 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.829 * [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 9.829 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 9.829 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 9.829 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 9.829 * [taylor]: Taking taylor expansion of 2.0 in n 9.830 * [backup-simplify]: Simplify 2.0 into 2.0 9.830 * [taylor]: Taking taylor expansion of PI in n 9.830 * [backup-simplify]: Simplify PI into PI 9.830 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.831 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.831 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.831 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.831 * [taylor]: Taking taylor expansion of 0.5 in n 9.831 * [backup-simplify]: Simplify 0.5 into 0.5 9.831 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.831 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.831 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.831 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.831 * [taylor]: Taking taylor expansion of 1.0 in n 9.832 * [backup-simplify]: Simplify 1.0 into 1.0 9.832 * [taylor]: Taking taylor expansion of (log PI) in n 9.832 * [taylor]: Taking taylor expansion of PI in n 9.832 * [backup-simplify]: Simplify PI into PI 9.832 * [backup-simplify]: Simplify (log PI) into (log PI) 9.833 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.835 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.835 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.835 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.835 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.835 * [taylor]: Taking taylor expansion of 1.0 in n 9.835 * [backup-simplify]: Simplify 1.0 into 1.0 9.835 * [taylor]: Taking taylor expansion of (log n) in n 9.835 * [taylor]: Taking taylor expansion of n in n 9.835 * [backup-simplify]: Simplify 0 into 0 9.835 * [backup-simplify]: Simplify 1 into 1 9.835 * [backup-simplify]: Simplify (log 1) into 0 9.836 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.836 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.836 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.836 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.836 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.836 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.836 * [taylor]: Taking taylor expansion of 1.0 in n 9.836 * [backup-simplify]: Simplify 1.0 into 1.0 9.836 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.836 * [taylor]: Taking taylor expansion of 2.0 in n 9.836 * [backup-simplify]: Simplify 2.0 into 2.0 9.836 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.837 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.839 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.840 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 9.841 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 9.843 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 9.844 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 9.845 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.845 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 9.846 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 9.846 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 9.846 * [taylor]: Taking taylor expansion of +nan.0 in n 9.846 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.846 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 9.846 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.846 * [taylor]: Taking taylor expansion of 0.5 in n 9.846 * [backup-simplify]: Simplify 0.5 into 0.5 9.846 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.846 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.846 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.846 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.846 * [taylor]: Taking taylor expansion of 1.0 in n 9.846 * [backup-simplify]: Simplify 1.0 into 1.0 9.846 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.846 * [taylor]: Taking taylor expansion of 2.0 in n 9.846 * [backup-simplify]: Simplify 2.0 into 2.0 9.847 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.848 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.849 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.849 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.849 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.849 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.849 * [taylor]: Taking taylor expansion of 1.0 in n 9.849 * [backup-simplify]: Simplify 1.0 into 1.0 9.849 * [taylor]: Taking taylor expansion of (log PI) in n 9.849 * [taylor]: Taking taylor expansion of PI in n 9.850 * [backup-simplify]: Simplify PI into PI 9.850 * [backup-simplify]: Simplify (log PI) into (log PI) 9.851 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.853 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.853 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.853 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.853 * [taylor]: Taking taylor expansion of 1.0 in n 9.853 * [backup-simplify]: Simplify 1.0 into 1.0 9.853 * [taylor]: Taking taylor expansion of (log n) in n 9.853 * [taylor]: Taking taylor expansion of n in n 9.853 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify 1 into 1 9.853 * [backup-simplify]: Simplify (log 1) into 0 9.854 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.854 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.854 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.854 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.856 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 9.857 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 9.858 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 9.860 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.860 * [taylor]: Taking taylor expansion of (log n) in n 9.860 * [taylor]: Taking taylor expansion of n in n 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 1 into 1 9.860 * [backup-simplify]: Simplify (log 1) into 0 9.860 * [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 n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 9.861 * [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 n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 9.861 * [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 n) 2))) in n 9.861 * [taylor]: Taking taylor expansion of +nan.0 in n 9.861 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.861 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 9.861 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.861 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.861 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.861 * [taylor]: Taking taylor expansion of 0.5 in n 9.861 * [backup-simplify]: Simplify 0.5 into 0.5 9.861 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.861 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.861 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.861 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.861 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.861 * [taylor]: Taking taylor expansion of 1.0 in n 9.861 * [backup-simplify]: Simplify 1.0 into 1.0 9.861 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.861 * [taylor]: Taking taylor expansion of 2.0 in n 9.861 * [backup-simplify]: Simplify 2.0 into 2.0 9.862 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.863 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.864 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.864 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.864 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.864 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.864 * [taylor]: Taking taylor expansion of 1.0 in n 9.864 * [backup-simplify]: Simplify 1.0 into 1.0 9.864 * [taylor]: Taking taylor expansion of (log PI) in n 9.864 * [taylor]: Taking taylor expansion of PI in n 9.864 * [backup-simplify]: Simplify PI into PI 9.865 * [backup-simplify]: Simplify (log PI) into (log PI) 9.866 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.868 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.868 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.868 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.868 * [taylor]: Taking taylor expansion of 1.0 in n 9.868 * [backup-simplify]: Simplify 1.0 into 1.0 9.868 * [taylor]: Taking taylor expansion of (log n) in n 9.868 * [taylor]: Taking taylor expansion of n in n 9.868 * [backup-simplify]: Simplify 0 into 0 9.868 * [backup-simplify]: Simplify 1 into 1 9.868 * [backup-simplify]: Simplify (log 1) into 0 9.869 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.869 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.869 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.869 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 9.870 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 9.871 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 9.872 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 9.872 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.873 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 9.873 * [taylor]: Taking taylor expansion of (log n) in n 9.873 * [taylor]: Taking taylor expansion of n in n 9.873 * [backup-simplify]: Simplify 0 into 0 9.873 * [backup-simplify]: Simplify 1 into 1 9.873 * [backup-simplify]: Simplify (log 1) into 0 9.873 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.873 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)))))) in n 9.873 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (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))))) in n 9.873 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.873 * [taylor]: Taking taylor expansion of +nan.0 in n 9.873 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.873 * [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 9.873 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 9.873 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 9.873 * [taylor]: Taking taylor expansion of 2.0 in n 9.873 * [backup-simplify]: Simplify 2.0 into 2.0 9.873 * [taylor]: Taking taylor expansion of PI in n 9.873 * [backup-simplify]: Simplify PI into PI 9.874 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.874 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.874 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.874 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.874 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.874 * [taylor]: Taking taylor expansion of 0.5 in n 9.875 * [backup-simplify]: Simplify 0.5 into 0.5 9.875 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.875 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.875 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.875 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.875 * [taylor]: Taking taylor expansion of 1.0 in n 9.875 * [backup-simplify]: Simplify 1.0 into 1.0 9.875 * [taylor]: Taking taylor expansion of (log PI) in n 9.875 * [taylor]: Taking taylor expansion of PI in n 9.875 * [backup-simplify]: Simplify PI into PI 9.875 * [backup-simplify]: Simplify (log PI) into (log PI) 9.876 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.876 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.877 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.877 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.877 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.877 * [taylor]: Taking taylor expansion of 1.0 in n 9.877 * [backup-simplify]: Simplify 1.0 into 1.0 9.877 * [taylor]: Taking taylor expansion of (log n) in n 9.877 * [taylor]: Taking taylor expansion of n in n 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.877 * [backup-simplify]: Simplify (log 1) into 0 9.877 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.877 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.877 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.877 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.877 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.877 * [taylor]: Taking taylor expansion of 1.0 in n 9.877 * [backup-simplify]: Simplify 1.0 into 1.0 9.877 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.877 * [taylor]: Taking taylor expansion of 2.0 in n 9.877 * [backup-simplify]: Simplify 2.0 into 2.0 9.878 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.878 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.879 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.880 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 9.880 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 9.887 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 9.888 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 9.889 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.889 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 9.889 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 9.889 * [taylor]: Taking taylor expansion of +nan.0 in n 9.889 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.889 * [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 9.889 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 9.889 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 9.889 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 9.889 * [taylor]: Taking taylor expansion of 2.0 in n 9.889 * [backup-simplify]: Simplify 2.0 into 2.0 9.889 * [taylor]: Taking taylor expansion of PI in n 9.889 * [backup-simplify]: Simplify PI into PI 9.889 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.890 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.890 * [taylor]: Taking taylor expansion of (log n) in n 9.890 * [taylor]: Taking taylor expansion of n in n 9.890 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify 1 into 1 9.891 * [backup-simplify]: Simplify (log 1) into 0 9.891 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 9.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 9.891 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 9.891 * [taylor]: Taking taylor expansion of 0.5 in n 9.891 * [backup-simplify]: Simplify 0.5 into 0.5 9.891 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 9.891 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 9.891 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.891 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.891 * [taylor]: Taking taylor expansion of 1.0 in n 9.891 * [backup-simplify]: Simplify 1.0 into 1.0 9.891 * [taylor]: Taking taylor expansion of (log PI) in n 9.891 * [taylor]: Taking taylor expansion of PI in n 9.891 * [backup-simplify]: Simplify PI into PI 9.891 * [backup-simplify]: Simplify (log PI) into (log PI) 9.892 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 9.893 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 9.893 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 9.893 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.893 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.893 * [taylor]: Taking taylor expansion of 1.0 in n 9.893 * [backup-simplify]: Simplify 1.0 into 1.0 9.893 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.893 * [taylor]: Taking taylor expansion of 2.0 in n 9.893 * [backup-simplify]: Simplify 2.0 into 2.0 9.893 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.894 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 9.895 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 9.895 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.895 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.895 * [taylor]: Taking taylor expansion of 1.0 in n 9.895 * [backup-simplify]: Simplify 1.0 into 1.0 9.895 * [taylor]: Taking taylor expansion of (log n) in n 9.895 * [taylor]: Taking taylor expansion of n in n 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [backup-simplify]: Simplify (log 1) into 0 9.895 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.895 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.896 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 9.896 * [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) 9.897 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 9.898 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 9.899 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 9.901 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 9.902 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 9.905 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 9.909 * [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)) 9.912 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log (* 2.0 PI)) 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))) 9.912 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.914 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 9.916 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 9.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.917 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 9.918 * [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 n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 9.920 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 9.922 * [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)) 9.925 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 9.925 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.927 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 9.929 * [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)) 9.932 * [backup-simplify]: Simplify (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 9.935 * [backup-simplify]: Simplify (- (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 9.940 * [backup-simplify]: Simplify (+ (* +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 (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) 9.946 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (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)))))) 9.954 * [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 (* 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 (* (* (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 (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 9.962 * [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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) 9.972 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (log (* 2.0 PI)) (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))))))))) 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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) 9.984 * [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)) (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 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) 9.998 * [backup-simplify]: Simplify (+ (* +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 (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 (* (* (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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)))))))))))) 10.015 * [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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)) (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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 10.032 * [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)) (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)) (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 (* (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 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))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 10.059 * [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 (* (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 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))) (- (* +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)) (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 (* (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)))))))))))))) 10.069 * [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 (* (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 (* (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)))))))))))))) 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 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 n) (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)))))))))))))) 10.084 * [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 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 n) (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)))))))))))))) (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 (* (log n) (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))))))) (* 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)) (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 k 2) (log (* 2.0 PI))) (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 (* (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)))))))))))))))))))))) 10.086 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))))) into (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) 10.086 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in (k n) around 0 10.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in n 10.086 * [taylor]: Taking taylor expansion of 1.0 in n 10.086 * [backup-simplify]: Simplify 1.0 into 1.0 10.086 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in n 10.086 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.086 * [taylor]: Taking taylor expansion of k in n 10.086 * [backup-simplify]: Simplify k into k 10.086 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 10.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 10.086 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 10.086 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.086 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.086 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.086 * [taylor]: Taking taylor expansion of 0.5 in n 10.086 * [backup-simplify]: Simplify 0.5 into 0.5 10.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.086 * [taylor]: Taking taylor expansion of 1.0 in n 10.086 * [backup-simplify]: Simplify 1.0 into 1.0 10.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.086 * [taylor]: Taking taylor expansion of k in n 10.086 * [backup-simplify]: Simplify k into k 10.086 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.086 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.086 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.086 * [taylor]: Taking taylor expansion of n in n 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (/ 1 1) into 1 10.087 * [backup-simplify]: Simplify (log 1) into 0 10.087 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.087 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.087 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.087 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.087 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.087 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 10.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 10.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 10.087 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 10.088 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 10.088 * [taylor]: Taking taylor expansion of 0.25 in n 10.088 * [backup-simplify]: Simplify 0.25 into 0.25 10.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.088 * [taylor]: Taking taylor expansion of 1.0 in n 10.088 * [backup-simplify]: Simplify 1.0 into 1.0 10.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.088 * [taylor]: Taking taylor expansion of k in n 10.088 * [backup-simplify]: Simplify k into k 10.088 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.088 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.088 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.088 * [taylor]: Taking taylor expansion of 2.0 in n 10.088 * [backup-simplify]: Simplify 2.0 into 2.0 10.088 * [taylor]: Taking taylor expansion of PI in n 10.088 * [backup-simplify]: Simplify PI into PI 10.088 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.089 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.089 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.089 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.089 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 10.090 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 10.090 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.090 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 10.090 * [taylor]: Taking taylor expansion of 1.0 in k 10.090 * [backup-simplify]: Simplify 1.0 into 1.0 10.090 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 10.091 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.091 * [taylor]: Taking taylor expansion of k in k 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [backup-simplify]: Simplify (sqrt 0) into 0 10.092 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.092 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 10.092 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.092 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.092 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.092 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.092 * [taylor]: Taking taylor expansion of 0.5 in k 10.092 * [backup-simplify]: Simplify 0.5 into 0.5 10.092 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.092 * [taylor]: Taking taylor expansion of 1.0 in k 10.092 * [backup-simplify]: Simplify 1.0 into 1.0 10.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.092 * [taylor]: Taking taylor expansion of k in k 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 1 into 1 10.092 * [backup-simplify]: Simplify (/ 1 1) into 1 10.092 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.092 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.092 * [taylor]: Taking taylor expansion of n in k 10.092 * [backup-simplify]: Simplify n into n 10.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.092 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.093 * [backup-simplify]: Simplify (- 1) into -1 10.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.093 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.093 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.094 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.094 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 10.094 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.094 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.094 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.094 * [taylor]: Taking taylor expansion of 0.25 in k 10.094 * [backup-simplify]: Simplify 0.25 into 0.25 10.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.094 * [taylor]: Taking taylor expansion of 1.0 in k 10.094 * [backup-simplify]: Simplify 1.0 into 1.0 10.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.094 * [taylor]: Taking taylor expansion of k in k 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 1 into 1 10.095 * [backup-simplify]: Simplify (/ 1 1) into 1 10.095 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.095 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.095 * [taylor]: Taking taylor expansion of 2.0 in k 10.095 * [backup-simplify]: Simplify 2.0 into 2.0 10.095 * [taylor]: Taking taylor expansion of PI in k 10.095 * [backup-simplify]: Simplify PI into PI 10.095 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.096 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.097 * [backup-simplify]: Simplify (- 1) into -1 10.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.098 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 10.099 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 10.101 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.101 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 10.101 * [taylor]: Taking taylor expansion of 1.0 in k 10.101 * [backup-simplify]: Simplify 1.0 into 1.0 10.101 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 10.101 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.101 * [taylor]: Taking taylor expansion of k in k 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 1 into 1 10.102 * [backup-simplify]: Simplify (sqrt 0) into 0 10.103 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.103 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 10.103 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.103 * [taylor]: Taking taylor expansion of 0.5 in k 10.103 * [backup-simplify]: Simplify 0.5 into 0.5 10.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.103 * [taylor]: Taking taylor expansion of 1.0 in k 10.103 * [backup-simplify]: Simplify 1.0 into 1.0 10.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.103 * [taylor]: Taking taylor expansion of k in k 10.103 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify 1 into 1 10.104 * [backup-simplify]: Simplify (/ 1 1) into 1 10.104 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.104 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.104 * [taylor]: Taking taylor expansion of n in k 10.104 * [backup-simplify]: Simplify n into n 10.104 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.104 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.104 * [backup-simplify]: Simplify (- 1) into -1 10.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.105 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.105 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.106 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.106 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 10.106 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.106 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.106 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.106 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.106 * [taylor]: Taking taylor expansion of 0.25 in k 10.106 * [backup-simplify]: Simplify 0.25 into 0.25 10.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.106 * [taylor]: Taking taylor expansion of 1.0 in k 10.106 * [backup-simplify]: Simplify 1.0 into 1.0 10.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.106 * [taylor]: Taking taylor expansion of k in k 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 1 into 1 10.107 * [backup-simplify]: Simplify (/ 1 1) into 1 10.107 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.107 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.107 * [taylor]: Taking taylor expansion of 2.0 in k 10.107 * [backup-simplify]: Simplify 2.0 into 2.0 10.107 * [taylor]: Taking taylor expansion of PI in k 10.107 * [backup-simplify]: Simplify PI into PI 10.107 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.108 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.109 * [backup-simplify]: Simplify (- 1) into -1 10.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.110 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 10.111 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 10.112 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.115 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 10.117 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 10.118 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 10.119 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.119 * [taylor]: Taking taylor expansion of 0 in n 10.119 * [backup-simplify]: Simplify 0 into 0 10.119 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 10.123 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 10.125 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.127 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.127 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 10.127 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 10.127 * [taylor]: Taking taylor expansion of +nan.0 in n 10.127 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.127 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 10.127 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 10.128 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 10.128 * [taylor]: Taking taylor expansion of 0.5 in n 10.128 * [backup-simplify]: Simplify 0.5 into 0.5 10.128 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 10.128 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.128 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.128 * [taylor]: Taking taylor expansion of n in n 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 1 into 1 10.128 * [backup-simplify]: Simplify (/ 1 1) into 1 10.129 * [backup-simplify]: Simplify (log 1) into 0 10.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.129 * [taylor]: Taking taylor expansion of 1.0 in n 10.129 * [backup-simplify]: Simplify 1.0 into 1.0 10.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.129 * [taylor]: Taking taylor expansion of k in n 10.129 * [backup-simplify]: Simplify k into k 10.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.129 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.129 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.130 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 10.130 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.130 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.130 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 10.130 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 10.130 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 10.130 * [taylor]: Taking taylor expansion of 0.25 in n 10.130 * [backup-simplify]: Simplify 0.25 into 0.25 10.130 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 10.130 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.130 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.130 * [taylor]: Taking taylor expansion of 2.0 in n 10.130 * [backup-simplify]: Simplify 2.0 into 2.0 10.130 * [taylor]: Taking taylor expansion of PI in n 10.130 * [backup-simplify]: Simplify PI into PI 10.131 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.132 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.132 * [taylor]: Taking taylor expansion of 1.0 in n 10.132 * [backup-simplify]: Simplify 1.0 into 1.0 10.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.132 * [taylor]: Taking taylor expansion of k in n 10.132 * [backup-simplify]: Simplify k into k 10.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.132 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.132 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.133 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 10.135 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 10.136 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.138 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 10.140 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 10.141 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 10.143 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.145 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.145 * [backup-simplify]: Simplify 0 into 0 10.147 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 10.148 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 10.150 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.154 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.154 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 10.154 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 10.154 * [taylor]: Taking taylor expansion of +nan.0 in n 10.154 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.154 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 10.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 10.154 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 10.154 * [taylor]: Taking taylor expansion of 0.5 in n 10.154 * [backup-simplify]: Simplify 0.5 into 0.5 10.154 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 10.154 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.154 * [taylor]: Taking taylor expansion of n in n 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [backup-simplify]: Simplify (/ 1 1) into 1 10.154 * [backup-simplify]: Simplify (log 1) into 0 10.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.154 * [taylor]: Taking taylor expansion of 1.0 in n 10.154 * [backup-simplify]: Simplify 1.0 into 1.0 10.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.154 * [taylor]: Taking taylor expansion of k in n 10.154 * [backup-simplify]: Simplify k into k 10.154 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.155 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.155 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.155 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 10.155 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.155 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.155 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 10.155 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 10.155 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 10.155 * [taylor]: Taking taylor expansion of 0.25 in n 10.155 * [backup-simplify]: Simplify 0.25 into 0.25 10.155 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 10.155 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.155 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.155 * [taylor]: Taking taylor expansion of 2.0 in n 10.155 * [backup-simplify]: Simplify 2.0 into 2.0 10.155 * [taylor]: Taking taylor expansion of PI in n 10.155 * [backup-simplify]: Simplify PI into PI 10.156 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.156 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.156 * [taylor]: Taking taylor expansion of 1.0 in n 10.156 * [backup-simplify]: Simplify 1.0 into 1.0 10.156 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.156 * [taylor]: Taking taylor expansion of k in n 10.156 * [backup-simplify]: Simplify k into k 10.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.157 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.157 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.157 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 10.158 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 10.164 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.166 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 10.167 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 10.168 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 10.169 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.170 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.170 * [backup-simplify]: Simplify (- 0) into 0 10.171 * [backup-simplify]: Simplify (+ 0 0) into 0 10.171 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 10.173 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.173 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 10.175 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.176 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 10.176 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.177 * [backup-simplify]: Simplify (- 0) into 0 10.177 * [backup-simplify]: Simplify (+ 0 0) into 0 10.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.178 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 10.179 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.180 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 10.181 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 10.182 * [backup-simplify]: Simplify (- 0) into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 10.187 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 10.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.200 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.200 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 10.200 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 10.200 * [taylor]: Taking taylor expansion of +nan.0 in n 10.200 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.200 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 10.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 10.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 10.200 * [taylor]: Taking taylor expansion of 0.5 in n 10.200 * [backup-simplify]: Simplify 0.5 into 0.5 10.200 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 10.201 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.201 * [taylor]: Taking taylor expansion of n in n 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 1 into 1 10.201 * [backup-simplify]: Simplify (/ 1 1) into 1 10.201 * [backup-simplify]: Simplify (log 1) into 0 10.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.201 * [taylor]: Taking taylor expansion of 1.0 in n 10.202 * [backup-simplify]: Simplify 1.0 into 1.0 10.202 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.202 * [taylor]: Taking taylor expansion of k in n 10.202 * [backup-simplify]: Simplify k into k 10.202 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.203 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.203 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.203 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 10.203 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.203 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.203 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 10.203 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 10.203 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 10.203 * [taylor]: Taking taylor expansion of 0.25 in n 10.204 * [backup-simplify]: Simplify 0.25 into 0.25 10.204 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 10.204 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.204 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.204 * [taylor]: Taking taylor expansion of 2.0 in n 10.204 * [backup-simplify]: Simplify 2.0 into 2.0 10.204 * [taylor]: Taking taylor expansion of PI in n 10.204 * [backup-simplify]: Simplify PI into PI 10.204 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.205 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.205 * [taylor]: Taking taylor expansion of 1.0 in n 10.205 * [backup-simplify]: Simplify 1.0 into 1.0 10.205 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.206 * [taylor]: Taking taylor expansion of k in n 10.206 * [backup-simplify]: Simplify k into k 10.206 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.206 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.206 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.207 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 10.208 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 10.209 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.212 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 10.213 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 10.215 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 10.216 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.218 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 10.224 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k))))))) 10.226 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))))) into (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) 10.227 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in (k n) around 0 10.227 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in n 10.227 * [taylor]: Taking taylor expansion of 1.0 in n 10.227 * [backup-simplify]: Simplify 1.0 into 1.0 10.227 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in n 10.227 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 10.227 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.227 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.227 * [taylor]: Taking taylor expansion of 0.5 in n 10.227 * [backup-simplify]: Simplify 0.5 into 0.5 10.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.227 * [taylor]: Taking taylor expansion of k in n 10.227 * [backup-simplify]: Simplify k into k 10.227 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.227 * [taylor]: Taking taylor expansion of 1.0 in n 10.227 * [backup-simplify]: Simplify 1.0 into 1.0 10.227 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.227 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.227 * [taylor]: Taking taylor expansion of -1 in n 10.227 * [backup-simplify]: Simplify -1 into -1 10.227 * [taylor]: Taking taylor expansion of n in n 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.228 * [backup-simplify]: Simplify (/ -1 1) into -1 10.228 * [backup-simplify]: Simplify (log -1) into (log -1) 10.228 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.228 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.229 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.230 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.230 * [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)))) 10.230 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 10.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 10.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 10.231 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 10.231 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 10.231 * [taylor]: Taking taylor expansion of 0.25 in n 10.231 * [backup-simplify]: Simplify 0.25 into 0.25 10.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.231 * [taylor]: Taking taylor expansion of k in n 10.231 * [backup-simplify]: Simplify k into k 10.231 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.231 * [taylor]: Taking taylor expansion of 1.0 in n 10.231 * [backup-simplify]: Simplify 1.0 into 1.0 10.231 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.231 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.231 * [taylor]: Taking taylor expansion of 2.0 in n 10.231 * [backup-simplify]: Simplify 2.0 into 2.0 10.231 * [taylor]: Taking taylor expansion of PI in n 10.231 * [backup-simplify]: Simplify PI into PI 10.232 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.233 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.233 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.233 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 10.234 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 10.234 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.234 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.234 * [taylor]: Taking taylor expansion of -1 in n 10.234 * [backup-simplify]: Simplify -1 into -1 10.234 * [taylor]: Taking taylor expansion of k in n 10.234 * [backup-simplify]: Simplify k into k 10.234 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 10.234 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 10.235 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 10.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 10.236 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.237 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.238 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) 10.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 10.238 * [taylor]: Taking taylor expansion of 1.0 in k 10.238 * [backup-simplify]: Simplify 1.0 into 1.0 10.238 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 10.239 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 10.239 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.239 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.239 * [taylor]: Taking taylor expansion of 0.5 in k 10.239 * [backup-simplify]: Simplify 0.5 into 0.5 10.239 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.239 * [taylor]: Taking taylor expansion of k in k 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 1 into 1 10.239 * [backup-simplify]: Simplify (/ 1 1) into 1 10.239 * [taylor]: Taking taylor expansion of 1.0 in k 10.239 * [backup-simplify]: Simplify 1.0 into 1.0 10.239 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.239 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.239 * [taylor]: Taking taylor expansion of -1 in k 10.239 * [backup-simplify]: Simplify -1 into -1 10.239 * [taylor]: Taking taylor expansion of n in k 10.239 * [backup-simplify]: Simplify n into n 10.239 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.239 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.239 * [backup-simplify]: Simplify (+ 1 0) into 1 10.240 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.240 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.240 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.240 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 10.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.240 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.240 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.240 * [taylor]: Taking taylor expansion of 0.25 in k 10.240 * [backup-simplify]: Simplify 0.25 into 0.25 10.240 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.240 * [taylor]: Taking taylor expansion of k in k 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify 1 into 1 10.240 * [backup-simplify]: Simplify (/ 1 1) into 1 10.240 * [taylor]: Taking taylor expansion of 1.0 in k 10.240 * [backup-simplify]: Simplify 1.0 into 1.0 10.240 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.240 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.240 * [taylor]: Taking taylor expansion of 2.0 in k 10.240 * [backup-simplify]: Simplify 2.0 into 2.0 10.241 * [taylor]: Taking taylor expansion of PI in k 10.241 * [backup-simplify]: Simplify PI into PI 10.241 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.241 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.242 * [backup-simplify]: Simplify (+ 1 0) into 1 10.242 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 10.243 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 10.244 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.244 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.244 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.244 * [taylor]: Taking taylor expansion of -1 in k 10.244 * [backup-simplify]: Simplify -1 into -1 10.244 * [taylor]: Taking taylor expansion of k in k 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 1 into 1 10.244 * [backup-simplify]: Simplify (/ -1 1) into -1 10.244 * [backup-simplify]: Simplify (sqrt 0) into 0 10.245 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.247 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.248 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 10.249 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 10.249 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 10.249 * [taylor]: Taking taylor expansion of 1.0 in k 10.249 * [backup-simplify]: Simplify 1.0 into 1.0 10.249 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 10.249 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 10.249 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.249 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.249 * [taylor]: Taking taylor expansion of 0.5 in k 10.249 * [backup-simplify]: Simplify 0.5 into 0.5 10.249 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.249 * [taylor]: Taking taylor expansion of k in k 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [backup-simplify]: Simplify (/ 1 1) into 1 10.249 * [taylor]: Taking taylor expansion of 1.0 in k 10.249 * [backup-simplify]: Simplify 1.0 into 1.0 10.249 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.249 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.249 * [taylor]: Taking taylor expansion of -1 in k 10.249 * [backup-simplify]: Simplify -1 into -1 10.249 * [taylor]: Taking taylor expansion of n in k 10.249 * [backup-simplify]: Simplify n into n 10.249 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.249 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.250 * [backup-simplify]: Simplify (+ 1 0) into 1 10.250 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.250 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.250 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.250 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 10.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.250 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.250 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.250 * [taylor]: Taking taylor expansion of 0.25 in k 10.250 * [backup-simplify]: Simplify 0.25 into 0.25 10.250 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.250 * [taylor]: Taking taylor expansion of k in k 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 1 into 1 10.251 * [backup-simplify]: Simplify (/ 1 1) into 1 10.251 * [taylor]: Taking taylor expansion of 1.0 in k 10.251 * [backup-simplify]: Simplify 1.0 into 1.0 10.251 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.251 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.251 * [taylor]: Taking taylor expansion of 2.0 in k 10.251 * [backup-simplify]: Simplify 2.0 into 2.0 10.251 * [taylor]: Taking taylor expansion of PI in k 10.251 * [backup-simplify]: Simplify PI into PI 10.251 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.252 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.252 * [backup-simplify]: Simplify (+ 1 0) into 1 10.252 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 10.253 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 10.254 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.254 * [taylor]: Taking taylor expansion of -1 in k 10.254 * [backup-simplify]: Simplify -1 into -1 10.254 * [taylor]: Taking taylor expansion of k in k 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (/ -1 1) into -1 10.255 * [backup-simplify]: Simplify (sqrt 0) into 0 10.256 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.257 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.258 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 10.259 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 10.260 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 10.260 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 10.260 * [taylor]: Taking taylor expansion of +nan.0 in n 10.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.260 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 10.260 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 10.260 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 10.260 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 10.260 * [taylor]: Taking taylor expansion of 0.25 in n 10.260 * [backup-simplify]: Simplify 0.25 into 0.25 10.260 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 10.260 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.260 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.260 * [taylor]: Taking taylor expansion of 2.0 in n 10.260 * [backup-simplify]: Simplify 2.0 into 2.0 10.260 * [taylor]: Taking taylor expansion of PI in n 10.260 * [backup-simplify]: Simplify PI into PI 10.261 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.261 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.262 * [taylor]: Taking taylor expansion of k in n 10.262 * [backup-simplify]: Simplify k into k 10.262 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.262 * [taylor]: Taking taylor expansion of 1.0 in n 10.262 * [backup-simplify]: Simplify 1.0 into 1.0 10.262 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.263 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 10.264 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 10.266 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 10.266 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 10.266 * [taylor]: Taking taylor expansion of 0.5 in n 10.266 * [backup-simplify]: Simplify 0.5 into 0.5 10.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 10.266 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.266 * [taylor]: Taking taylor expansion of k in n 10.266 * [backup-simplify]: Simplify k into k 10.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.266 * [taylor]: Taking taylor expansion of 1.0 in n 10.266 * [backup-simplify]: Simplify 1.0 into 1.0 10.266 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.266 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.266 * [taylor]: Taking taylor expansion of -1 in n 10.266 * [backup-simplify]: Simplify -1 into -1 10.266 * [taylor]: Taking taylor expansion of n in n 10.266 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify 1 into 1 10.267 * [backup-simplify]: Simplify (/ -1 1) into -1 10.267 * [backup-simplify]: Simplify (log -1) into (log -1) 10.267 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.269 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 10.269 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.270 * [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)))) 10.272 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.274 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.277 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.279 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.281 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 10.283 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 10.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.286 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.295 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 10.297 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 10.297 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 10.297 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 10.297 * [taylor]: Taking taylor expansion of +nan.0 in n 10.297 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.297 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 10.297 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 10.297 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 10.297 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 10.297 * [taylor]: Taking taylor expansion of 0.25 in n 10.297 * [backup-simplify]: Simplify 0.25 into 0.25 10.297 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 10.297 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.297 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.297 * [taylor]: Taking taylor expansion of 2.0 in n 10.297 * [backup-simplify]: Simplify 2.0 into 2.0 10.297 * [taylor]: Taking taylor expansion of PI in n 10.297 * [backup-simplify]: Simplify PI into PI 10.298 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.298 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.298 * [taylor]: Taking taylor expansion of k in n 10.298 * [backup-simplify]: Simplify k into k 10.298 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.298 * [taylor]: Taking taylor expansion of 1.0 in n 10.299 * [backup-simplify]: Simplify 1.0 into 1.0 10.299 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.299 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 10.300 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 10.301 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 10.301 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 10.301 * [taylor]: Taking taylor expansion of 0.5 in n 10.301 * [backup-simplify]: Simplify 0.5 into 0.5 10.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 10.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.301 * [taylor]: Taking taylor expansion of k in n 10.301 * [backup-simplify]: Simplify k into k 10.301 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.301 * [taylor]: Taking taylor expansion of 1.0 in n 10.301 * [backup-simplify]: Simplify 1.0 into 1.0 10.301 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.301 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.301 * [taylor]: Taking taylor expansion of -1 in n 10.301 * [backup-simplify]: Simplify -1 into -1 10.301 * [taylor]: Taking taylor expansion of n in n 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 1 into 1 10.302 * [backup-simplify]: Simplify (/ -1 1) into -1 10.302 * [backup-simplify]: Simplify (log -1) into (log -1) 10.302 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.303 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 10.303 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.303 * [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)))) 10.305 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.306 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.307 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.309 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 10.310 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 10.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.312 * [backup-simplify]: Simplify (+ 0 0) into 0 10.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.313 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 10.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 10.314 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.315 * [backup-simplify]: Simplify (+ 0 0) into 0 10.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 10.317 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.318 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 10.319 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.320 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 10.322 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 10.324 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 10.324 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 10.328 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 10.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.339 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 10.345 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (+ (* 0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 10.345 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 10.345 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 10.345 * [taylor]: Taking taylor expansion of +nan.0 in n 10.345 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.345 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 10.345 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 10.345 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 10.345 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 10.345 * [taylor]: Taking taylor expansion of 0.25 in n 10.345 * [backup-simplify]: Simplify 0.25 into 0.25 10.345 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 10.345 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.345 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.345 * [taylor]: Taking taylor expansion of 2.0 in n 10.345 * [backup-simplify]: Simplify 2.0 into 2.0 10.345 * [taylor]: Taking taylor expansion of PI in n 10.345 * [backup-simplify]: Simplify PI into PI 10.346 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.347 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.347 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.347 * [taylor]: Taking taylor expansion of k in n 10.347 * [backup-simplify]: Simplify k into k 10.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.348 * [taylor]: Taking taylor expansion of 1.0 in n 10.348 * [backup-simplify]: Simplify 1.0 into 1.0 10.348 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.349 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 10.350 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 10.351 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 10.351 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 10.351 * [taylor]: Taking taylor expansion of 0.5 in n 10.351 * [backup-simplify]: Simplify 0.5 into 0.5 10.351 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 10.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.352 * [taylor]: Taking taylor expansion of k in n 10.352 * [backup-simplify]: Simplify k into k 10.352 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.352 * [taylor]: Taking taylor expansion of 1.0 in n 10.352 * [backup-simplify]: Simplify 1.0 into 1.0 10.352 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.352 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.352 * [taylor]: Taking taylor expansion of -1 in n 10.352 * [backup-simplify]: Simplify -1 into -1 10.352 * [taylor]: Taking taylor expansion of n in n 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [backup-simplify]: Simplify (/ -1 1) into -1 10.353 * [backup-simplify]: Simplify (log -1) into (log -1) 10.353 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.354 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 10.355 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.355 * [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)))) 10.358 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.360 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.362 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.364 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 10.366 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 10.374 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 2)))))))) 10.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 10.375 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) into (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) 10.376 * [approximate]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in (k n) around 0 10.376 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 10.376 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.376 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.376 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.376 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.376 * [taylor]: Taking taylor expansion of 0.5 in n 10.376 * [backup-simplify]: Simplify 0.5 into 0.5 10.376 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.376 * [taylor]: Taking taylor expansion of 1.0 in n 10.376 * [backup-simplify]: Simplify 1.0 into 1.0 10.376 * [taylor]: Taking taylor expansion of k in n 10.376 * [backup-simplify]: Simplify k into k 10.376 * [taylor]: Taking taylor expansion of (log n) in n 10.376 * [taylor]: Taking taylor expansion of n in n 10.376 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify 1 into 1 10.377 * [backup-simplify]: Simplify (log 1) into 0 10.377 * [backup-simplify]: Simplify (- k) into (- k) 10.377 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.377 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.377 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.377 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.378 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.378 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 10.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 10.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 10.378 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 10.378 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 10.378 * [taylor]: Taking taylor expansion of 0.25 in n 10.378 * [backup-simplify]: Simplify 0.25 into 0.25 10.378 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.378 * [taylor]: Taking taylor expansion of 1.0 in n 10.378 * [backup-simplify]: Simplify 1.0 into 1.0 10.378 * [taylor]: Taking taylor expansion of k in n 10.378 * [backup-simplify]: Simplify k into k 10.378 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.378 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.378 * [taylor]: Taking taylor expansion of 2.0 in n 10.378 * [backup-simplify]: Simplify 2.0 into 2.0 10.378 * [taylor]: Taking taylor expansion of PI in n 10.378 * [backup-simplify]: Simplify PI into PI 10.379 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.380 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.380 * [backup-simplify]: Simplify (- k) into (- k) 10.380 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.380 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 10.381 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 10.382 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 10.382 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 10.382 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.382 * [taylor]: Taking taylor expansion of 0.5 in k 10.382 * [backup-simplify]: Simplify 0.5 into 0.5 10.382 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.383 * [taylor]: Taking taylor expansion of 1.0 in k 10.383 * [backup-simplify]: Simplify 1.0 into 1.0 10.383 * [taylor]: Taking taylor expansion of k in k 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify 1 into 1 10.383 * [taylor]: Taking taylor expansion of (log n) in k 10.383 * [taylor]: Taking taylor expansion of n in k 10.383 * [backup-simplify]: Simplify n into n 10.383 * [backup-simplify]: Simplify (log n) into (log n) 10.384 * [backup-simplify]: Simplify (- 0) into 0 10.384 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.384 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.385 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.385 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.385 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 10.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 10.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 10.385 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 10.385 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 10.385 * [taylor]: Taking taylor expansion of 0.25 in k 10.385 * [backup-simplify]: Simplify 0.25 into 0.25 10.385 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.385 * [taylor]: Taking taylor expansion of 1.0 in k 10.385 * [backup-simplify]: Simplify 1.0 into 1.0 10.385 * [taylor]: Taking taylor expansion of k in k 10.385 * [backup-simplify]: Simplify 0 into 0 10.385 * [backup-simplify]: Simplify 1 into 1 10.385 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.385 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.385 * [taylor]: Taking taylor expansion of 2.0 in k 10.385 * [backup-simplify]: Simplify 2.0 into 2.0 10.385 * [taylor]: Taking taylor expansion of PI in k 10.385 * [backup-simplify]: Simplify PI into PI 10.386 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.387 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.387 * [backup-simplify]: Simplify (- 0) into 0 10.388 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.388 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 10.390 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 10.393 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 10.393 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 10.393 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.394 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.394 * [taylor]: Taking taylor expansion of 0.5 in k 10.394 * [backup-simplify]: Simplify 0.5 into 0.5 10.394 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.394 * [taylor]: Taking taylor expansion of 1.0 in k 10.394 * [backup-simplify]: Simplify 1.0 into 1.0 10.394 * [taylor]: Taking taylor expansion of k in k 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 1 into 1 10.394 * [taylor]: Taking taylor expansion of (log n) in k 10.394 * [taylor]: Taking taylor expansion of n in k 10.394 * [backup-simplify]: Simplify n into n 10.394 * [backup-simplify]: Simplify (log n) into (log n) 10.394 * [backup-simplify]: Simplify (- 0) into 0 10.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.395 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.395 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.396 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.396 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 10.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 10.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 10.396 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 10.396 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 10.396 * [taylor]: Taking taylor expansion of 0.25 in k 10.396 * [backup-simplify]: Simplify 0.25 into 0.25 10.396 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.396 * [taylor]: Taking taylor expansion of 1.0 in k 10.396 * [backup-simplify]: Simplify 1.0 into 1.0 10.396 * [taylor]: Taking taylor expansion of k in k 10.396 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify 1 into 1 10.396 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.396 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.396 * [taylor]: Taking taylor expansion of 2.0 in k 10.396 * [backup-simplify]: Simplify 2.0 into 2.0 10.396 * [taylor]: Taking taylor expansion of PI in k 10.396 * [backup-simplify]: Simplify PI into PI 10.397 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.398 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.398 * [backup-simplify]: Simplify (- 0) into 0 10.399 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.399 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 10.401 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 10.404 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 10.407 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 10.408 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 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) 10.408 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.408 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.409 * [taylor]: Taking taylor expansion of 0.5 in n 10.409 * [backup-simplify]: Simplify 0.5 into 0.5 10.409 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.409 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.409 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.409 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.409 * [taylor]: Taking taylor expansion of 1.0 in n 10.409 * [backup-simplify]: Simplify 1.0 into 1.0 10.409 * [taylor]: Taking taylor expansion of (log PI) in n 10.409 * [taylor]: Taking taylor expansion of PI in n 10.409 * [backup-simplify]: Simplify PI into PI 10.409 * [backup-simplify]: Simplify (log PI) into (log PI) 10.410 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.411 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.411 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.411 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.411 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.411 * [taylor]: Taking taylor expansion of 1.0 in n 10.411 * [backup-simplify]: Simplify 1.0 into 1.0 10.411 * [taylor]: Taking taylor expansion of (log n) in n 10.411 * [taylor]: Taking taylor expansion of n in n 10.411 * [backup-simplify]: Simplify 0 into 0 10.411 * [backup-simplify]: Simplify 1 into 1 10.411 * [backup-simplify]: Simplify (log 1) into 0 10.411 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.411 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.411 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.411 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.411 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.411 * [taylor]: Taking taylor expansion of 1.0 in n 10.411 * [backup-simplify]: Simplify 1.0 into 1.0 10.411 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.411 * [taylor]: Taking taylor expansion of 2.0 in n 10.412 * [backup-simplify]: Simplify 2.0 into 2.0 10.412 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.412 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.413 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.414 * [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) 10.414 * [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) 10.415 * [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)) 10.416 * [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))) 10.417 * [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) 10.418 * [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) 10.418 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 10.420 * [backup-simplify]: Simplify (- 1) into -1 10.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.421 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 10.432 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 10.446 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 10.470 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 10.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.471 * [backup-simplify]: Simplify (- 1) into -1 10.472 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.473 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 10.475 * [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))) 10.486 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 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))) (pow (* (pow PI 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 10.486 * [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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 10.486 * [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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 10.486 * [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 10.486 * [taylor]: Taking taylor expansion of 0.5 in n 10.486 * [backup-simplify]: Simplify 0.5 into 0.5 10.486 * [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 10.486 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.486 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.486 * [taylor]: Taking taylor expansion of 2.0 in n 10.486 * [backup-simplify]: Simplify 2.0 into 2.0 10.486 * [taylor]: Taking taylor expansion of PI in n 10.486 * [backup-simplify]: Simplify PI into PI 10.487 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.487 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.487 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.487 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.487 * [taylor]: Taking taylor expansion of 0.5 in n 10.487 * [backup-simplify]: Simplify 0.5 into 0.5 10.487 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.488 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.488 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.488 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.488 * [taylor]: Taking taylor expansion of 1.0 in n 10.488 * [backup-simplify]: Simplify 1.0 into 1.0 10.488 * [taylor]: Taking taylor expansion of (log PI) in n 10.488 * [taylor]: Taking taylor expansion of PI in n 10.488 * [backup-simplify]: Simplify PI into PI 10.488 * [backup-simplify]: Simplify (log PI) into (log PI) 10.488 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.489 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.489 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.489 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.490 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.490 * [taylor]: Taking taylor expansion of 1.0 in n 10.490 * [backup-simplify]: Simplify 1.0 into 1.0 10.490 * [taylor]: Taking taylor expansion of (log n) in n 10.490 * [taylor]: Taking taylor expansion of n in n 10.490 * [backup-simplify]: Simplify 0 into 0 10.490 * [backup-simplify]: Simplify 1 into 1 10.490 * [backup-simplify]: Simplify (log 1) into 0 10.490 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.490 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.490 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.490 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.490 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.490 * [taylor]: Taking taylor expansion of 1.0 in n 10.490 * [backup-simplify]: Simplify 1.0 into 1.0 10.490 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.490 * [taylor]: Taking taylor expansion of 2.0 in n 10.490 * [backup-simplify]: Simplify 2.0 into 2.0 10.491 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.491 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.492 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.492 * [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) 10.493 * [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) 10.494 * [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)) 10.495 * [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))) 10.496 * [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) 10.496 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 10.496 * [taylor]: Taking taylor expansion of 0.5 in n 10.496 * [backup-simplify]: Simplify 0.5 into 0.5 10.496 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 10.496 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.496 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.496 * [taylor]: Taking taylor expansion of 0.5 in n 10.496 * [backup-simplify]: Simplify 0.5 into 0.5 10.496 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.496 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.496 * [taylor]: Taking taylor expansion of 1.0 in n 10.496 * [backup-simplify]: Simplify 1.0 into 1.0 10.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.496 * [taylor]: Taking taylor expansion of 2.0 in n 10.496 * [backup-simplify]: Simplify 2.0 into 2.0 10.496 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.497 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.498 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.498 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.498 * [taylor]: Taking taylor expansion of 1.0 in n 10.498 * [backup-simplify]: Simplify 1.0 into 1.0 10.498 * [taylor]: Taking taylor expansion of (log PI) in n 10.498 * [taylor]: Taking taylor expansion of PI in n 10.498 * [backup-simplify]: Simplify PI into PI 10.498 * [backup-simplify]: Simplify (log PI) into (log PI) 10.499 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.500 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.500 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.500 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.500 * [taylor]: Taking taylor expansion of 1.0 in n 10.500 * [backup-simplify]: Simplify 1.0 into 1.0 10.500 * [taylor]: Taking taylor expansion of (log n) in n 10.500 * [taylor]: Taking taylor expansion of n in n 10.500 * [backup-simplify]: Simplify 0 into 0 10.500 * [backup-simplify]: Simplify 1 into 1 10.500 * [backup-simplify]: Simplify (log 1) into 0 10.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.501 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.501 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.501 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.502 * [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) 10.503 * [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)) 10.503 * [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))) 10.504 * [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) 10.504 * [taylor]: Taking taylor expansion of (log n) in n 10.504 * [taylor]: Taking taylor expansion of n in n 10.504 * [backup-simplify]: Simplify 0 into 0 10.504 * [backup-simplify]: Simplify 1 into 1 10.505 * [backup-simplify]: Simplify (log 1) into 0 10.506 * [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)) 10.508 * [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))) 10.508 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.509 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 10.510 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) 10.514 * [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)))) 10.518 * [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))))) 10.523 * [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))))) 10.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 10.526 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 10.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.527 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.527 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 10.528 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 10.528 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 10.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.530 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 10.531 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 10.531 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 10.533 * [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 10.534 * [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 10.535 * [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 10.535 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 10.538 * [backup-simplify]: Simplify (- 0) into 0 10.538 * [backup-simplify]: Simplify (+ 0 0) into 0 10.539 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.540 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 10.556 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 10.590 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 10.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 10.591 * [backup-simplify]: Simplify (- 0) into 0 10.591 * [backup-simplify]: Simplify (+ 0 0) into 0 10.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.593 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 10.593 * [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))) 10.611 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 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))) (- (* 0.5 (* (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))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 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))))) 10.611 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 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))))) in n 10.611 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 10.611 * [taylor]: Taking taylor expansion of 0.125 in n 10.611 * [backup-simplify]: Simplify 0.125 into 0.125 10.611 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 10.611 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.611 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.611 * [taylor]: Taking taylor expansion of 0.5 in n 10.611 * [backup-simplify]: Simplify 0.5 into 0.5 10.611 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.611 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.612 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.612 * [taylor]: Taking taylor expansion of 1.0 in n 10.612 * [backup-simplify]: Simplify 1.0 into 1.0 10.612 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.612 * [taylor]: Taking taylor expansion of 2.0 in n 10.612 * [backup-simplify]: Simplify 2.0 into 2.0 10.612 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.613 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.615 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.615 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.615 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.615 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.615 * [taylor]: Taking taylor expansion of 1.0 in n 10.615 * [backup-simplify]: Simplify 1.0 into 1.0 10.615 * [taylor]: Taking taylor expansion of (log PI) in n 10.615 * [taylor]: Taking taylor expansion of PI in n 10.615 * [backup-simplify]: Simplify PI into PI 10.616 * [backup-simplify]: Simplify (log PI) into (log PI) 10.616 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.618 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.618 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.618 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.618 * [taylor]: Taking taylor expansion of 1.0 in n 10.618 * [backup-simplify]: Simplify 1.0 into 1.0 10.618 * [taylor]: Taking taylor expansion of (log n) in n 10.618 * [taylor]: Taking taylor expansion of n in n 10.618 * [backup-simplify]: Simplify 0 into 0 10.618 * [backup-simplify]: Simplify 1 into 1 10.618 * [backup-simplify]: Simplify (log 1) into 0 10.619 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.619 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.619 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.620 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.621 * [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) 10.622 * [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)) 10.622 * [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))) 10.624 * [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) 10.624 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 10.624 * [taylor]: Taking taylor expansion of (log n) in n 10.624 * [taylor]: Taking taylor expansion of n in n 10.624 * [backup-simplify]: Simplify 0 into 0 10.624 * [backup-simplify]: Simplify 1 into 1 10.624 * [backup-simplify]: Simplify (log 1) into 0 10.624 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.624 * [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))) (* 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 10.624 * [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 10.624 * [taylor]: Taking taylor expansion of 0.125 in n 10.624 * [backup-simplify]: Simplify 0.125 into 0.125 10.624 * [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 10.625 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 10.625 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.625 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.625 * [taylor]: Taking taylor expansion of 2.0 in n 10.625 * [backup-simplify]: Simplify 2.0 into 2.0 10.625 * [taylor]: Taking taylor expansion of PI in n 10.625 * [backup-simplify]: Simplify PI into PI 10.625 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.626 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.626 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.626 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.626 * [taylor]: Taking taylor expansion of 0.5 in n 10.626 * [backup-simplify]: Simplify 0.5 into 0.5 10.626 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.626 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.626 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.626 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.626 * [taylor]: Taking taylor expansion of 1.0 in n 10.626 * [backup-simplify]: Simplify 1.0 into 1.0 10.626 * [taylor]: Taking taylor expansion of (log PI) in n 10.626 * [taylor]: Taking taylor expansion of PI in n 10.626 * [backup-simplify]: Simplify PI into PI 10.626 * [backup-simplify]: Simplify (log PI) into (log PI) 10.627 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.628 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.628 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.628 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.628 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.628 * [taylor]: Taking taylor expansion of 1.0 in n 10.628 * [backup-simplify]: Simplify 1.0 into 1.0 10.628 * [taylor]: Taking taylor expansion of (log n) in n 10.628 * [taylor]: Taking taylor expansion of n in n 10.628 * [backup-simplify]: Simplify 0 into 0 10.628 * [backup-simplify]: Simplify 1 into 1 10.628 * [backup-simplify]: Simplify (log 1) into 0 10.629 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.629 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.629 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.629 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.629 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.629 * [taylor]: Taking taylor expansion of 1.0 in n 10.629 * [backup-simplify]: Simplify 1.0 into 1.0 10.629 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.629 * [taylor]: Taking taylor expansion of 2.0 in n 10.629 * [backup-simplify]: Simplify 2.0 into 2.0 10.629 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.630 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.631 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.631 * [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) 10.632 * [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) 10.633 * [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)) 10.633 * [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))) 10.634 * [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) 10.634 * [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 10.634 * [taylor]: Taking taylor expansion of 0.25 in n 10.634 * [backup-simplify]: Simplify 0.25 into 0.25 10.634 * [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 10.634 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 10.634 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.634 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.635 * [taylor]: Taking taylor expansion of 2.0 in n 10.635 * [backup-simplify]: Simplify 2.0 into 2.0 10.635 * [taylor]: Taking taylor expansion of PI in n 10.635 * [backup-simplify]: Simplify PI into PI 10.635 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.636 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.636 * [taylor]: Taking taylor expansion of (log n) in n 10.636 * [taylor]: Taking taylor expansion of n in n 10.636 * [backup-simplify]: Simplify 0 into 0 10.636 * [backup-simplify]: Simplify 1 into 1 10.636 * [backup-simplify]: Simplify (log 1) into 0 10.636 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 10.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 10.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 10.636 * [taylor]: Taking taylor expansion of 0.5 in n 10.636 * [backup-simplify]: Simplify 0.5 into 0.5 10.636 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 10.636 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 10.636 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.636 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.636 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.636 * [taylor]: Taking taylor expansion of 1.0 in n 10.636 * [backup-simplify]: Simplify 1.0 into 1.0 10.636 * [taylor]: Taking taylor expansion of (log PI) in n 10.636 * [taylor]: Taking taylor expansion of PI in n 10.636 * [backup-simplify]: Simplify PI into PI 10.636 * [backup-simplify]: Simplify (log PI) into (log PI) 10.637 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.638 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.638 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 10.638 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.638 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.638 * [taylor]: Taking taylor expansion of 1.0 in n 10.638 * [backup-simplify]: Simplify 1.0 into 1.0 10.638 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.638 * [taylor]: Taking taylor expansion of 2.0 in n 10.638 * [backup-simplify]: Simplify 2.0 into 2.0 10.638 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.639 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.640 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.640 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.640 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.640 * [taylor]: Taking taylor expansion of 1.0 in n 10.640 * [backup-simplify]: Simplify 1.0 into 1.0 10.640 * [taylor]: Taking taylor expansion of (log n) in n 10.640 * [taylor]: Taking taylor expansion of n in n 10.640 * [backup-simplify]: Simplify 0 into 0 10.640 * [backup-simplify]: Simplify 1 into 1 10.640 * [backup-simplify]: Simplify (log 1) into 0 10.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.641 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.641 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.641 * [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) 10.644 * [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) 10.645 * [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)) 10.646 * [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))) 10.647 * [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) 10.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.648 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 10.650 * [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 n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 10.651 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) 10.654 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 10.658 * [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)) 10.661 * [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))) 10.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.663 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 10.665 * [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)) 10.668 * [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))) 10.683 * [backup-simplify]: Simplify (+ (* 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 (* 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)))) 10.691 * [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))))) 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))))) 10.699 * [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))))) 10.714 * [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))))) 10.715 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) 10.716 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in (k n) around 0 10.716 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 10.716 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.716 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.716 * [taylor]: Taking taylor expansion of 0.5 in n 10.716 * [backup-simplify]: Simplify 0.5 into 0.5 10.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.716 * [taylor]: Taking taylor expansion of 1.0 in n 10.716 * [backup-simplify]: Simplify 1.0 into 1.0 10.716 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.716 * [taylor]: Taking taylor expansion of k in n 10.716 * [backup-simplify]: Simplify k into k 10.716 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.716 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.716 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.716 * [taylor]: Taking taylor expansion of n in n 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify 1 into 1 10.716 * [backup-simplify]: Simplify (/ 1 1) into 1 10.717 * [backup-simplify]: Simplify (log 1) into 0 10.717 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.717 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.717 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.718 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.718 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.718 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.718 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 10.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 10.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 10.718 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 10.718 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 10.718 * [taylor]: Taking taylor expansion of 0.25 in n 10.718 * [backup-simplify]: Simplify 0.25 into 0.25 10.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.718 * [taylor]: Taking taylor expansion of 1.0 in n 10.718 * [backup-simplify]: Simplify 1.0 into 1.0 10.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.718 * [taylor]: Taking taylor expansion of k in n 10.718 * [backup-simplify]: Simplify k into k 10.719 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.719 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.719 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.719 * [taylor]: Taking taylor expansion of 2.0 in n 10.719 * [backup-simplify]: Simplify 2.0 into 2.0 10.719 * [taylor]: Taking taylor expansion of PI in n 10.719 * [backup-simplify]: Simplify PI into PI 10.719 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.720 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.720 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.720 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.721 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 10.722 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 10.723 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.723 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 10.723 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.723 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.723 * [taylor]: Taking taylor expansion of 0.5 in k 10.723 * [backup-simplify]: Simplify 0.5 into 0.5 10.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.723 * [taylor]: Taking taylor expansion of 1.0 in k 10.723 * [backup-simplify]: Simplify 1.0 into 1.0 10.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.723 * [taylor]: Taking taylor expansion of k in k 10.723 * [backup-simplify]: Simplify 0 into 0 10.723 * [backup-simplify]: Simplify 1 into 1 10.724 * [backup-simplify]: Simplify (/ 1 1) into 1 10.724 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.724 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.724 * [taylor]: Taking taylor expansion of n in k 10.724 * [backup-simplify]: Simplify n into n 10.724 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.724 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.724 * [backup-simplify]: Simplify (- 1) into -1 10.725 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.725 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.725 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.726 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.726 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 10.726 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.726 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.726 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.726 * [taylor]: Taking taylor expansion of 0.25 in k 10.726 * [backup-simplify]: Simplify 0.25 into 0.25 10.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.726 * [taylor]: Taking taylor expansion of 1.0 in k 10.726 * [backup-simplify]: Simplify 1.0 into 1.0 10.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.726 * [taylor]: Taking taylor expansion of k in k 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify 1 into 1 10.726 * [backup-simplify]: Simplify (/ 1 1) into 1 10.726 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.726 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.727 * [taylor]: Taking taylor expansion of 2.0 in k 10.727 * [backup-simplify]: Simplify 2.0 into 2.0 10.727 * [taylor]: Taking taylor expansion of PI in k 10.727 * [backup-simplify]: Simplify PI into PI 10.727 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.728 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.728 * [backup-simplify]: Simplify (- 1) into -1 10.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.729 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 10.731 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 10.732 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.732 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 10.732 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.732 * [taylor]: Taking taylor expansion of 0.5 in k 10.732 * [backup-simplify]: Simplify 0.5 into 0.5 10.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.733 * [taylor]: Taking taylor expansion of 1.0 in k 10.733 * [backup-simplify]: Simplify 1.0 into 1.0 10.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.733 * [taylor]: Taking taylor expansion of k in k 10.733 * [backup-simplify]: Simplify 0 into 0 10.733 * [backup-simplify]: Simplify 1 into 1 10.733 * [backup-simplify]: Simplify (/ 1 1) into 1 10.733 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.733 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.733 * [taylor]: Taking taylor expansion of n in k 10.733 * [backup-simplify]: Simplify n into n 10.733 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.733 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.734 * [backup-simplify]: Simplify (- 1) into -1 10.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.735 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.735 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.735 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.735 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 10.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.735 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.735 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.735 * [taylor]: Taking taylor expansion of 0.25 in k 10.735 * [backup-simplify]: Simplify 0.25 into 0.25 10.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.735 * [taylor]: Taking taylor expansion of 1.0 in k 10.735 * [backup-simplify]: Simplify 1.0 into 1.0 10.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.735 * [taylor]: Taking taylor expansion of k in k 10.735 * [backup-simplify]: Simplify 0 into 0 10.735 * [backup-simplify]: Simplify 1 into 1 10.736 * [backup-simplify]: Simplify (/ 1 1) into 1 10.736 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.736 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.736 * [taylor]: Taking taylor expansion of 2.0 in k 10.736 * [backup-simplify]: Simplify 2.0 into 2.0 10.736 * [taylor]: Taking taylor expansion of PI in k 10.736 * [backup-simplify]: Simplify PI into PI 10.736 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.737 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.738 * [backup-simplify]: Simplify (- 1) into -1 10.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.739 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 10.740 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 10.742 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.744 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 10.746 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 10.746 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 10.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 10.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 10.746 * [taylor]: Taking taylor expansion of 0.5 in n 10.746 * [backup-simplify]: Simplify 0.5 into 0.5 10.746 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 10.746 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.746 * [taylor]: Taking taylor expansion of n in n 10.746 * [backup-simplify]: Simplify 0 into 0 10.746 * [backup-simplify]: Simplify 1 into 1 10.747 * [backup-simplify]: Simplify (/ 1 1) into 1 10.747 * [backup-simplify]: Simplify (log 1) into 0 10.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.747 * [taylor]: Taking taylor expansion of 1.0 in n 10.747 * [backup-simplify]: Simplify 1.0 into 1.0 10.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.747 * [taylor]: Taking taylor expansion of k in n 10.747 * [backup-simplify]: Simplify k into k 10.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.748 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.748 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.748 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 10.748 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.749 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.749 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 10.749 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 10.749 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 10.749 * [taylor]: Taking taylor expansion of 0.25 in n 10.749 * [backup-simplify]: Simplify 0.25 into 0.25 10.749 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 10.749 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.749 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.749 * [taylor]: Taking taylor expansion of 2.0 in n 10.749 * [backup-simplify]: Simplify 2.0 into 2.0 10.749 * [taylor]: Taking taylor expansion of PI in n 10.749 * [backup-simplify]: Simplify PI into PI 10.750 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.751 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.751 * [taylor]: Taking taylor expansion of 1.0 in n 10.751 * [backup-simplify]: Simplify 1.0 into 1.0 10.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.751 * [taylor]: Taking taylor expansion of k in n 10.751 * [backup-simplify]: Simplify k into k 10.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.751 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.751 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.752 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 10.754 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 10.755 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.758 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 10.759 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 10.761 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 10.763 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 10.765 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 10.765 * [taylor]: Taking taylor expansion of 0 in n 10.765 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.766 * [backup-simplify]: Simplify (- 0) into 0 10.766 * [backup-simplify]: Simplify (+ 0 0) into 0 10.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 10.770 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.771 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 10.773 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.776 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 10.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.777 * [backup-simplify]: Simplify (- 0) into 0 10.777 * [backup-simplify]: Simplify (+ 0 0) into 0 10.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.780 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 10.782 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.783 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 10.783 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 10.788 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 10.788 * [taylor]: Taking taylor expansion of 0 in n 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify 0 into 0 10.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.789 * [backup-simplify]: Simplify (- 0) into 0 10.789 * [backup-simplify]: Simplify (+ 0 0) into 0 10.790 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 10.795 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.797 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 10.800 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.802 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 10.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.803 * [backup-simplify]: Simplify (- 0) into 0 10.803 * [backup-simplify]: Simplify (+ 0 0) into 0 10.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.805 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.806 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 10.807 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.808 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.810 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 10.811 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 10.811 * [taylor]: Taking taylor expansion of 0 in n 10.811 * [backup-simplify]: Simplify 0 into 0 10.811 * [backup-simplify]: Simplify 0 into 0 10.812 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)) into (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 10.813 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) 10.813 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in (k n) around 0 10.813 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 10.814 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.814 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.814 * [taylor]: Taking taylor expansion of 0.5 in n 10.814 * [backup-simplify]: Simplify 0.5 into 0.5 10.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.814 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.814 * [taylor]: Taking taylor expansion of k in n 10.814 * [backup-simplify]: Simplify k into k 10.814 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.814 * [taylor]: Taking taylor expansion of 1.0 in n 10.814 * [backup-simplify]: Simplify 1.0 into 1.0 10.814 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.814 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.814 * [taylor]: Taking taylor expansion of -1 in n 10.814 * [backup-simplify]: Simplify -1 into -1 10.814 * [taylor]: Taking taylor expansion of n in n 10.814 * [backup-simplify]: Simplify 0 into 0 10.814 * [backup-simplify]: Simplify 1 into 1 10.814 * [backup-simplify]: Simplify (/ -1 1) into -1 10.814 * [backup-simplify]: Simplify (log -1) into (log -1) 10.814 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.815 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.815 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.815 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.816 * [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)))) 10.816 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 10.816 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 10.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 10.816 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 10.816 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 10.816 * [taylor]: Taking taylor expansion of 0.25 in n 10.816 * [backup-simplify]: Simplify 0.25 into 0.25 10.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.816 * [taylor]: Taking taylor expansion of k in n 10.816 * [backup-simplify]: Simplify k into k 10.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.816 * [taylor]: Taking taylor expansion of 1.0 in n 10.816 * [backup-simplify]: Simplify 1.0 into 1.0 10.816 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.816 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.816 * [taylor]: Taking taylor expansion of 2.0 in n 10.816 * [backup-simplify]: Simplify 2.0 into 2.0 10.816 * [taylor]: Taking taylor expansion of PI in n 10.816 * [backup-simplify]: Simplify PI into PI 10.816 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.817 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.817 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 10.818 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 10.819 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.819 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 10.819 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.819 * [taylor]: Taking taylor expansion of 0.5 in k 10.819 * [backup-simplify]: Simplify 0.5 into 0.5 10.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.819 * [taylor]: Taking taylor expansion of k in k 10.819 * [backup-simplify]: Simplify 0 into 0 10.819 * [backup-simplify]: Simplify 1 into 1 10.819 * [backup-simplify]: Simplify (/ 1 1) into 1 10.819 * [taylor]: Taking taylor expansion of 1.0 in k 10.819 * [backup-simplify]: Simplify 1.0 into 1.0 10.819 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.819 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.819 * [taylor]: Taking taylor expansion of -1 in k 10.819 * [backup-simplify]: Simplify -1 into -1 10.819 * [taylor]: Taking taylor expansion of n in k 10.819 * [backup-simplify]: Simplify n into n 10.819 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.819 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.820 * [backup-simplify]: Simplify (+ 1 0) into 1 10.820 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.820 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.820 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.820 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 10.820 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.820 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.820 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.820 * [taylor]: Taking taylor expansion of 0.25 in k 10.820 * [backup-simplify]: Simplify 0.25 into 0.25 10.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.820 * [taylor]: Taking taylor expansion of k in k 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 1 into 1 10.821 * [backup-simplify]: Simplify (/ 1 1) into 1 10.821 * [taylor]: Taking taylor expansion of 1.0 in k 10.821 * [backup-simplify]: Simplify 1.0 into 1.0 10.821 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.821 * [taylor]: Taking taylor expansion of 2.0 in k 10.821 * [backup-simplify]: Simplify 2.0 into 2.0 10.821 * [taylor]: Taking taylor expansion of PI in k 10.821 * [backup-simplify]: Simplify PI into PI 10.828 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.830 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.830 * [backup-simplify]: Simplify (+ 1 0) into 1 10.831 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 10.833 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 10.834 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.834 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 10.834 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.834 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.834 * [taylor]: Taking taylor expansion of 0.5 in k 10.834 * [backup-simplify]: Simplify 0.5 into 0.5 10.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.834 * [taylor]: Taking taylor expansion of k in k 10.834 * [backup-simplify]: Simplify 0 into 0 10.834 * [backup-simplify]: Simplify 1 into 1 10.835 * [backup-simplify]: Simplify (/ 1 1) into 1 10.835 * [taylor]: Taking taylor expansion of 1.0 in k 10.835 * [backup-simplify]: Simplify 1.0 into 1.0 10.835 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.835 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.835 * [taylor]: Taking taylor expansion of -1 in k 10.835 * [backup-simplify]: Simplify -1 into -1 10.835 * [taylor]: Taking taylor expansion of n in k 10.835 * [backup-simplify]: Simplify n into n 10.835 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.835 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.836 * [backup-simplify]: Simplify (+ 1 0) into 1 10.836 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.836 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.837 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.837 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 10.837 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.837 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.837 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.837 * [taylor]: Taking taylor expansion of 0.25 in k 10.837 * [backup-simplify]: Simplify 0.25 into 0.25 10.837 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.837 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.837 * [taylor]: Taking taylor expansion of k in k 10.837 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify 1 into 1 10.837 * [backup-simplify]: Simplify (/ 1 1) into 1 10.837 * [taylor]: Taking taylor expansion of 1.0 in k 10.837 * [backup-simplify]: Simplify 1.0 into 1.0 10.837 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.838 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.838 * [taylor]: Taking taylor expansion of 2.0 in k 10.838 * [backup-simplify]: Simplify 2.0 into 2.0 10.838 * [taylor]: Taking taylor expansion of PI in k 10.838 * [backup-simplify]: Simplify PI into PI 10.838 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.839 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.840 * [backup-simplify]: Simplify (+ 1 0) into 1 10.840 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 10.841 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 10.842 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.844 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.845 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 10.845 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 10.845 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 10.845 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 10.845 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 10.845 * [taylor]: Taking taylor expansion of 0.25 in n 10.845 * [backup-simplify]: Simplify 0.25 into 0.25 10.845 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 10.845 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 10.845 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 10.845 * [taylor]: Taking taylor expansion of 2.0 in n 10.845 * [backup-simplify]: Simplify 2.0 into 2.0 10.845 * [taylor]: Taking taylor expansion of PI in n 10.845 * [backup-simplify]: Simplify PI into PI 10.845 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.846 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.846 * [taylor]: Taking taylor expansion of k in n 10.846 * [backup-simplify]: Simplify k into k 10.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.846 * [taylor]: Taking taylor expansion of 1.0 in n 10.846 * [backup-simplify]: Simplify 1.0 into 1.0 10.846 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.847 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 10.847 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 10.848 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 10.848 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 10.848 * [taylor]: Taking taylor expansion of 0.5 in n 10.848 * [backup-simplify]: Simplify 0.5 into 0.5 10.848 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 10.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.848 * [taylor]: Taking taylor expansion of k in n 10.848 * [backup-simplify]: Simplify k into k 10.848 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.848 * [taylor]: Taking taylor expansion of 1.0 in n 10.848 * [backup-simplify]: Simplify 1.0 into 1.0 10.848 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.849 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.849 * [taylor]: Taking taylor expansion of -1 in n 10.849 * [backup-simplify]: Simplify -1 into -1 10.849 * [taylor]: Taking taylor expansion of n in n 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [backup-simplify]: Simplify 1 into 1 10.849 * [backup-simplify]: Simplify (/ -1 1) into -1 10.849 * [backup-simplify]: Simplify (log -1) into (log -1) 10.849 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.850 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 10.850 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.851 * [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)))) 10.852 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 10.853 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.855 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.856 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 10.857 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 10.857 * [taylor]: Taking taylor expansion of 0 in n 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [backup-simplify]: Simplify 0 into 0 10.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.859 * [backup-simplify]: Simplify (+ 0 0) into 0 10.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.860 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 10.860 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 10.861 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.862 * [backup-simplify]: Simplify (+ 0 0) into 0 10.862 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 10.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 10.864 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.864 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 10.866 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.867 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 10.868 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 10.868 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 10.873 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 10.873 * [taylor]: Taking taylor expansion of 0 in n 10.873 * [backup-simplify]: Simplify 0 into 0 10.873 * [backup-simplify]: Simplify 0 into 0 10.873 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.878 * [backup-simplify]: Simplify (+ 0 0) into 0 10.878 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.879 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 10.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 10.883 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.883 * [backup-simplify]: Simplify (+ 0 0) into 0 10.884 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 10.890 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 10.892 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 10.894 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.897 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 10.899 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 10.899 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 10.904 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))))) into 0 10.905 * [taylor]: Taking taylor expansion of 0 in n 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify 0 into 0 10.907 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (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)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 10.907 * * * [progress]: simplifying candidates 10.918 * [simplify]: Simplifying: (* (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 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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))))) (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 10.922 * [simplify]: Sending expressions to egg_math: (* (log h1) (/ (- 1.0 h0) 2.0)) (* (log h1) (/ (- 1.0 h0) 2.0)) (* 1 (/ (- 1.0 h0) 2.0)) (pow h1 (/ 1.0 2.0)) (pow h1 (/ h0 2.0)) (pow h1 (* (cbrt (/ (- 1.0 h0) 2.0)) (cbrt (/ (- 1.0 h0) 2.0)))) (pow h1 (sqrt (/ (- 1.0 h0) 2.0))) (pow h1 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (* (cbrt 2.0) (cbrt 2.0)))) (pow h1 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) (sqrt 2.0))) (pow h1 (/ (* (cbrt (- 1.0 h0)) (cbrt (- 1.0 h0))) 1)) (pow h1 (/ (sqrt (- 1.0 h0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow h1 (/ (sqrt (- 1.0 h0)) (sqrt 2.0))) (pow h1 (/ (sqrt 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2.0) 2))) (* (* (pow h1 (/ (- 1.0 h0) 2.0)) (pow h1 (/ (- 1.0 h0) 2.0))) (pow h1 (/ (- 1.0 h0) 2.0))))) (* (* (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2))) (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2))) (* (* (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))))) (* (cbrt (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))))) (cbrt (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))))) (cbrt (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))))) (* (* (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))))) (sqrt (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))))) (sqrt (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0))))) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (pow h1 (/ 1.0 2.0)))) (* (pow (* 2.0 h2) (/ (/ h0 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ h0 2.0) 2)) (pow h1 (/ h0 2.0)))) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ 1.0 2.0)))) (* (pow (* 2.0 h2) (/ (/ h0 2.0) 2)) (pow h1 (/ h0 2.0))) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ h0 2.0) 2)) (pow (* 2.0 h2) (/ (/ h0 2.0) 2))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2))) (* (pow h2 (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (cbrt (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (sqrt (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ (/ (- 1.0 h0) 2.0) 2) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (pow h1 (/ 1.0 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ 1.0 2.0)))) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (* (pow (* 2.0 h2) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 h2) (/ (/ (- 1.0 h0) 2.0) 2)) (pow h1 (/ (- 1.0 h0) 2.0)))) (- (+ (* (/ 1.0 8.0) (* (* (pow h0 2) (pow (log h1) 2)) (pow (pow h1 1.0) (/ 1.0 2.0)))) (pow h1 (/ 1.0 2.0))) (* (/ 1.0 2.0) (* (* h0 (log h1)) (pow (pow h1 1.0) (/ 1.0 2.0))))) (exp (* (/ -1.0 2.0) (* (- 1.0 h0) (log (/ 1 h1))))) (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log -1) (log (/ -1 h1)))))) (- (+ (* h3 h0) (- (+ (* h3 (pow h0 2)) (- h3))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- (* h3 (/ 1 (pow h0 3)))))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- h3))))) (- (+ (* h3 (* (* (pow h0 2) (pow (log (* 2.0 h2)) 2)) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (* (log (* 2.0 h2)) (log h1))) (pow (* (pow h2 1.0) (* (pow 2.0 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* h0 (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (pow (log h1) 2)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* h0 (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (* (* (pow h0 2) (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0)))) (- (+ (* h3 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0))) (- (+ (* h3 (* (pow h0 2) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) (/ 1.0 2.0)))) (- (* h3 (* h0 (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0))))))))))))))))))))))) (- (+ (* h3 (/ (* (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2) (exp (* (/ -1.0 2.0) (* (- 1.0 h0) (log (/ 1 h1)))))) (pow h0 2))) (- (+ (* h3 (/ (* (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2) (exp (* (/ -1.0 2.0) (* (- 1.0 h0) (log (/ 1 h1)))))) (pow h0 3))) (- (* h3 (/ (* (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2) (exp (* (/ -1.0 2.0) (* (- 1.0 h0) (log (/ 1 h1)))))) h0))))))) (- (+ (* h3 (* (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log -1) (log (/ -1 h1)))))) (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2))) (- (+ (* h3 (/ (* (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log -1) (log (/ -1 h1)))))) (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2)) h0)) (- (* h3 (/ (* (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log -1) (log (/ -1 h1)))))) (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2)) (pow h0 2)))))))) (- (+ (* (/ 1.0 8.0) (* (* (pow h0 2) (pow (log h1) 2)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (+ (* (/ 1.0 8.0) (* (* (pow h0 2) (pow (log (* 2.0 h2)) 2)) (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) (/ 1.0 2.0)))) (+ (* (/ 1.0 4.0) (* (* (pow h0 2) (* (log (* 2.0 h2)) (log h1))) (pow (* (pow h2 1.0) (* (pow 2.0 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (pow (pow (pow (pow (pow (pow (pow (* (pow h2 1.0) (* (pow h1 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) (/ 1.0 2.0))))) (+ (* (/ 1.0 2.0) (* (* h0 (log h1)) (pow (* (pow 2.0 1.0) (* (pow h2 1.0) (pow h1 1.0))) (/ 1.0 2.0)))) (* (/ 1.0 2.0) (* (* h0 (log (* 2.0 h2))) (pow (* (pow 2.0 1.0) (* (pow h1 1.0) (pow h2 1.0))) (/ 1.0 2.0)))))) (* (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2) (exp (* (/ -1.0 2.0) (* (- 1.0 h0) (log (/ 1 h1)))))) (* (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log -1) (log (/ -1 h1)))))) (pow (exp (* (/ 1.0 4.0) (* (- 1.0 h0) (log (* 2.0 h2))))) 2)) 11.636 * * * [progress]: adding candidates to table 12.537 * * [progress]: iteration 4 / 4 12.537 * * * [progress]: picking best candidate 12.559 * * * * [pick]: Picked # 12.559 * * * [progress]: localizing error 12.590 * * * [progress]: generating rewritten candidates 12.590 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.668 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 12.685 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.753 * * * [progress]: generating series expansions 12.754 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.755 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 12.755 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 12.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 12.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 12.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 12.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.755 * [taylor]: Taking taylor expansion of 0.5 in k 12.755 * [backup-simplify]: Simplify 0.5 into 0.5 12.755 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.755 * [taylor]: Taking taylor expansion of 1.0 in k 12.755 * [backup-simplify]: Simplify 1.0 into 1.0 12.755 * [taylor]: Taking taylor expansion of k in k 12.755 * [backup-simplify]: Simplify 0 into 0 12.755 * [backup-simplify]: Simplify 1 into 1 12.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 12.755 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 12.755 * [taylor]: Taking taylor expansion of 2.0 in k 12.755 * [backup-simplify]: Simplify 2.0 into 2.0 12.755 * [taylor]: Taking taylor expansion of (* n PI) in k 12.755 * [taylor]: Taking taylor expansion of n in k 12.755 * [backup-simplify]: Simplify n into n 12.755 * [taylor]: Taking taylor expansion of PI in k 12.755 * [backup-simplify]: Simplify PI into PI 12.755 * [backup-simplify]: Simplify (* n PI) into (* n PI) 12.755 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 12.755 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 12.756 * [backup-simplify]: Simplify (- 0) into 0 12.756 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.756 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.756 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 12.756 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 12.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.757 * [taylor]: Taking taylor expansion of 0.5 in n 12.757 * [backup-simplify]: Simplify 0.5 into 0.5 12.757 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.757 * [taylor]: Taking taylor expansion of 1.0 in n 12.757 * [backup-simplify]: Simplify 1.0 into 1.0 12.757 * [taylor]: Taking taylor expansion of k in n 12.757 * [backup-simplify]: Simplify k into k 12.757 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.757 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.757 * [taylor]: Taking taylor expansion of 2.0 in n 12.757 * [backup-simplify]: Simplify 2.0 into 2.0 12.757 * [taylor]: Taking taylor expansion of (* n PI) in n 12.757 * [taylor]: Taking taylor expansion of n in n 12.757 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify 1 into 1 12.757 * [taylor]: Taking taylor expansion of PI in n 12.757 * [backup-simplify]: Simplify PI into PI 12.757 * [backup-simplify]: Simplify (* 0 PI) into 0 12.757 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.758 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.759 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.760 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.760 * [backup-simplify]: Simplify (- k) into (- k) 12.760 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.760 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.761 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.763 * [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)))) 12.764 * [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))))) 12.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.764 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.764 * [taylor]: Taking taylor expansion of 0.5 in n 12.764 * [backup-simplify]: Simplify 0.5 into 0.5 12.764 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.764 * [taylor]: Taking taylor expansion of 1.0 in n 12.764 * [backup-simplify]: Simplify 1.0 into 1.0 12.764 * [taylor]: Taking taylor expansion of k in n 12.764 * [backup-simplify]: Simplify k into k 12.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.764 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.764 * [taylor]: Taking taylor expansion of 2.0 in n 12.764 * [backup-simplify]: Simplify 2.0 into 2.0 12.764 * [taylor]: Taking taylor expansion of (* n PI) in n 12.764 * [taylor]: Taking taylor expansion of n in n 12.764 * [backup-simplify]: Simplify 0 into 0 12.764 * [backup-simplify]: Simplify 1 into 1 12.765 * [taylor]: Taking taylor expansion of PI in n 12.765 * [backup-simplify]: Simplify PI into PI 12.765 * [backup-simplify]: Simplify (* 0 PI) into 0 12.765 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.769 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.770 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.770 * [backup-simplify]: Simplify (- k) into (- k) 12.770 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.770 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.773 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.774 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 12.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 12.774 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 12.774 * [taylor]: Taking taylor expansion of 0.5 in k 12.774 * [backup-simplify]: Simplify 0.5 into 0.5 12.775 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 12.775 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.775 * [taylor]: Taking taylor expansion of 1.0 in k 12.775 * [backup-simplify]: Simplify 1.0 into 1.0 12.775 * [taylor]: Taking taylor expansion of k in k 12.775 * [backup-simplify]: Simplify 0 into 0 12.775 * [backup-simplify]: Simplify 1 into 1 12.775 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 12.775 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.775 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.775 * [taylor]: Taking taylor expansion of 2.0 in k 12.775 * [backup-simplify]: Simplify 2.0 into 2.0 12.775 * [taylor]: Taking taylor expansion of PI in k 12.775 * [backup-simplify]: Simplify PI into PI 12.775 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.777 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.777 * [taylor]: Taking taylor expansion of (log n) in k 12.777 * [taylor]: Taking taylor expansion of n in k 12.777 * [backup-simplify]: Simplify n into n 12.777 * [backup-simplify]: Simplify (log n) into (log n) 12.777 * [backup-simplify]: Simplify (- 0) into 0 12.778 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.779 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 12.780 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 12.781 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 12.782 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.784 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 12.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.788 * [backup-simplify]: Simplify (- 0) into 0 12.789 * [backup-simplify]: Simplify (+ 0 0) into 0 12.789 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.791 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.792 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 12.804 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.804 * [taylor]: Taking taylor expansion of 0 in k 12.804 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify 0 into 0 12.805 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.809 * [backup-simplify]: Simplify (+ 0 0) into 0 12.809 * [backup-simplify]: Simplify (- 1) into -1 12.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.812 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 12.814 * [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)))) 12.818 * [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)))))) 12.821 * [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)))))) 12.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.823 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.827 * [backup-simplify]: Simplify (- 0) into 0 12.827 * [backup-simplify]: Simplify (+ 0 0) into 0 12.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.830 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.832 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.835 * [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 12.835 * [taylor]: Taking taylor expansion of 0 in k 12.835 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify 0 into 0 12.836 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.840 * [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 12.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.843 * [backup-simplify]: Simplify (+ 0 0) into 0 12.843 * [backup-simplify]: Simplify (- 0) into 0 12.844 * [backup-simplify]: Simplify (+ 0 0) into 0 12.846 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.849 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 12.853 * [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)))))) 12.860 * [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)))))) 12.871 * [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)))))) 12.872 * [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)))) 12.873 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 12.873 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 12.873 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.873 * [taylor]: Taking taylor expansion of 0.5 in k 12.873 * [backup-simplify]: Simplify 0.5 into 0.5 12.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.873 * [taylor]: Taking taylor expansion of 1.0 in k 12.873 * [backup-simplify]: Simplify 1.0 into 1.0 12.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.873 * [taylor]: Taking taylor expansion of k in k 12.873 * [backup-simplify]: Simplify 0 into 0 12.873 * [backup-simplify]: Simplify 1 into 1 12.873 * [backup-simplify]: Simplify (/ 1 1) into 1 12.873 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 12.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 12.874 * [taylor]: Taking taylor expansion of 2.0 in k 12.874 * [backup-simplify]: Simplify 2.0 into 2.0 12.874 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.874 * [taylor]: Taking taylor expansion of PI in k 12.874 * [backup-simplify]: Simplify PI into PI 12.874 * [taylor]: Taking taylor expansion of n in k 12.874 * [backup-simplify]: Simplify n into n 12.874 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.874 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 12.874 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 12.874 * [backup-simplify]: Simplify (- 1) into -1 12.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.875 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.876 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 12.876 * [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))))) 12.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.876 * [taylor]: Taking taylor expansion of 0.5 in n 12.876 * [backup-simplify]: Simplify 0.5 into 0.5 12.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.876 * [taylor]: Taking taylor expansion of 1.0 in n 12.876 * [backup-simplify]: Simplify 1.0 into 1.0 12.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.876 * [taylor]: Taking taylor expansion of k in n 12.876 * [backup-simplify]: Simplify k into k 12.876 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.876 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.876 * [taylor]: Taking taylor expansion of 2.0 in n 12.876 * [backup-simplify]: Simplify 2.0 into 2.0 12.876 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.876 * [taylor]: Taking taylor expansion of PI in n 12.877 * [backup-simplify]: Simplify PI into PI 12.877 * [taylor]: Taking taylor expansion of n in n 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 1 into 1 12.877 * [backup-simplify]: Simplify (/ PI 1) into PI 12.878 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.879 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.879 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.879 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.879 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.882 * [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)))) 12.883 * [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))))) 12.883 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.883 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.883 * [taylor]: Taking taylor expansion of 0.5 in n 12.883 * [backup-simplify]: Simplify 0.5 into 0.5 12.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.883 * [taylor]: Taking taylor expansion of 1.0 in n 12.883 * [backup-simplify]: Simplify 1.0 into 1.0 12.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.884 * [taylor]: Taking taylor expansion of k in n 12.884 * [backup-simplify]: Simplify k into k 12.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.884 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.884 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.884 * [taylor]: Taking taylor expansion of 2.0 in n 12.884 * [backup-simplify]: Simplify 2.0 into 2.0 12.884 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.884 * [taylor]: Taking taylor expansion of PI in n 12.884 * [backup-simplify]: Simplify PI into PI 12.884 * [taylor]: Taking taylor expansion of n in n 12.884 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify 1 into 1 12.884 * [backup-simplify]: Simplify (/ PI 1) into PI 12.885 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.886 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.886 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.886 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.886 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.889 * [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)))) 12.890 * [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))))) 12.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 12.891 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 12.891 * [taylor]: Taking taylor expansion of 0.5 in k 12.891 * [backup-simplify]: Simplify 0.5 into 0.5 12.891 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 12.891 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 12.891 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.891 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.891 * [taylor]: Taking taylor expansion of 2.0 in k 12.891 * [backup-simplify]: Simplify 2.0 into 2.0 12.891 * [taylor]: Taking taylor expansion of PI in k 12.891 * [backup-simplify]: Simplify PI into PI 12.892 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.893 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.893 * [taylor]: Taking taylor expansion of (log n) in k 12.893 * [taylor]: Taking taylor expansion of n in k 12.893 * [backup-simplify]: Simplify n into n 12.893 * [backup-simplify]: Simplify (log n) into (log n) 12.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.893 * [taylor]: Taking taylor expansion of 1.0 in k 12.893 * [backup-simplify]: Simplify 1.0 into 1.0 12.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.893 * [taylor]: Taking taylor expansion of k in k 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 1 into 1 12.894 * [backup-simplify]: Simplify (/ 1 1) into 1 12.894 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.895 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 12.895 * [backup-simplify]: Simplify (- 1) into -1 12.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.897 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 12.898 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 12.899 * [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))))) 12.901 * [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))))) 12.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.903 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.905 * [backup-simplify]: Simplify (- 0) into 0 12.905 * [backup-simplify]: Simplify (+ 0 0) into 0 12.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.909 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 12.911 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.911 * [taylor]: Taking taylor expansion of 0 in k 12.911 * [backup-simplify]: Simplify 0 into 0 12.911 * [backup-simplify]: Simplify 0 into 0 12.911 * [backup-simplify]: Simplify 0 into 0 12.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.913 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.917 * [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 12.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.917 * [backup-simplify]: Simplify (- 0) into 0 12.918 * [backup-simplify]: Simplify (+ 0 0) into 0 12.919 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.922 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 12.924 * [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 12.924 * [taylor]: Taking taylor expansion of 0 in k 12.924 * [backup-simplify]: Simplify 0 into 0 12.924 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify 0 into 0 12.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.927 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.933 * [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 12.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.934 * [backup-simplify]: Simplify (- 0) into 0 12.934 * [backup-simplify]: Simplify (+ 0 0) into 0 12.935 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.939 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 12.942 * [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 12.942 * [taylor]: Taking taylor expansion of 0 in k 12.942 * [backup-simplify]: Simplify 0 into 0 12.942 * [backup-simplify]: Simplify 0 into 0 12.943 * [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)))) 12.944 * [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))) 12.944 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.944 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 12.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 12.945 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.945 * [taylor]: Taking taylor expansion of 0.5 in k 12.945 * [backup-simplify]: Simplify 0.5 into 0.5 12.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.945 * [taylor]: Taking taylor expansion of k in k 12.945 * [backup-simplify]: Simplify 0 into 0 12.945 * [backup-simplify]: Simplify 1 into 1 12.945 * [backup-simplify]: Simplify (/ 1 1) into 1 12.945 * [taylor]: Taking taylor expansion of 1.0 in k 12.945 * [backup-simplify]: Simplify 1.0 into 1.0 12.945 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 12.945 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 12.945 * [taylor]: Taking taylor expansion of -2.0 in k 12.945 * [backup-simplify]: Simplify -2.0 into -2.0 12.945 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.945 * [taylor]: Taking taylor expansion of PI in k 12.946 * [backup-simplify]: Simplify PI into PI 12.946 * [taylor]: Taking taylor expansion of n in k 12.946 * [backup-simplify]: Simplify n into n 12.946 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.946 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 12.946 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 12.946 * [backup-simplify]: Simplify (+ 1 0) into 1 12.947 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.947 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 12.947 * [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)))))) 12.947 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.947 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.947 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.947 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.947 * [taylor]: Taking taylor expansion of 0.5 in n 12.947 * [backup-simplify]: Simplify 0.5 into 0.5 12.947 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.948 * [taylor]: Taking taylor expansion of k in n 12.948 * [backup-simplify]: Simplify k into k 12.948 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.948 * [taylor]: Taking taylor expansion of 1.0 in n 12.948 * [backup-simplify]: Simplify 1.0 into 1.0 12.948 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.948 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.948 * [taylor]: Taking taylor expansion of -2.0 in n 12.948 * [backup-simplify]: Simplify -2.0 into -2.0 12.948 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.948 * [taylor]: Taking taylor expansion of PI in n 12.948 * [backup-simplify]: Simplify PI into PI 12.948 * [taylor]: Taking taylor expansion of n in n 12.948 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify 1 into 1 12.949 * [backup-simplify]: Simplify (/ PI 1) into PI 12.949 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.950 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.950 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.950 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.952 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.953 * [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)))) 12.954 * [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))))) 12.954 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.955 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.955 * [taylor]: Taking taylor expansion of 0.5 in n 12.955 * [backup-simplify]: Simplify 0.5 into 0.5 12.955 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.955 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.955 * [taylor]: Taking taylor expansion of k in n 12.955 * [backup-simplify]: Simplify k into k 12.955 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.955 * [taylor]: Taking taylor expansion of 1.0 in n 12.955 * [backup-simplify]: Simplify 1.0 into 1.0 12.955 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.955 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.955 * [taylor]: Taking taylor expansion of -2.0 in n 12.955 * [backup-simplify]: Simplify -2.0 into -2.0 12.955 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.955 * [taylor]: Taking taylor expansion of PI in n 12.955 * [backup-simplify]: Simplify PI into PI 12.955 * [taylor]: Taking taylor expansion of n in n 12.955 * [backup-simplify]: Simplify 0 into 0 12.955 * [backup-simplify]: Simplify 1 into 1 12.956 * [backup-simplify]: Simplify (/ PI 1) into PI 12.956 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.957 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.958 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.958 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.959 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.960 * [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)))) 12.971 * [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))))) 12.971 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 12.971 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 12.971 * [taylor]: Taking taylor expansion of 0.5 in k 12.971 * [backup-simplify]: Simplify 0.5 into 0.5 12.971 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 12.971 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.971 * [taylor]: Taking taylor expansion of k in k 12.971 * [backup-simplify]: Simplify 0 into 0 12.971 * [backup-simplify]: Simplify 1 into 1 12.972 * [backup-simplify]: Simplify (/ 1 1) into 1 12.972 * [taylor]: Taking taylor expansion of 1.0 in k 12.972 * [backup-simplify]: Simplify 1.0 into 1.0 12.972 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 12.972 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 12.972 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 12.972 * [taylor]: Taking taylor expansion of -2.0 in k 12.972 * [backup-simplify]: Simplify -2.0 into -2.0 12.972 * [taylor]: Taking taylor expansion of PI in k 12.972 * [backup-simplify]: Simplify PI into PI 12.973 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.974 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.974 * [taylor]: Taking taylor expansion of (log n) in k 12.974 * [taylor]: Taking taylor expansion of n in k 12.974 * [backup-simplify]: Simplify n into n 12.974 * [backup-simplify]: Simplify (log n) into (log n) 12.974 * [backup-simplify]: Simplify (+ 1 0) into 1 12.974 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.975 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 12.977 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 12.978 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 12.979 * [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))))) 12.980 * [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))))) 12.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.982 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 12.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 12.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.984 * [backup-simplify]: Simplify (+ 0 0) into 0 12.985 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.988 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 12.990 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.990 * [taylor]: Taking taylor expansion of 0 in k 12.990 * [backup-simplify]: Simplify 0 into 0 12.990 * [backup-simplify]: Simplify 0 into 0 12.990 * [backup-simplify]: Simplify 0 into 0 12.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.992 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.996 * [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 12.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.997 * [backup-simplify]: Simplify (+ 0 0) into 0 12.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.001 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 13.002 * [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 13.002 * [taylor]: Taking taylor expansion of 0 in k 13.002 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.004 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.007 * [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 13.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.008 * [backup-simplify]: Simplify (+ 0 0) into 0 13.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 13.009 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.011 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 13.012 * [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 13.012 * [taylor]: Taking taylor expansion of 0 in k 13.012 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify 0 into 0 13.013 * [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)))))) 13.013 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.013 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 13.013 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 13.013 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.013 * [taylor]: Taking taylor expansion of 1.0 in k 13.013 * [backup-simplify]: Simplify 1.0 into 1.0 13.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.013 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.013 * [taylor]: Taking taylor expansion of k in k 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.014 * [backup-simplify]: Simplify (/ 1 1) into 1 13.014 * [backup-simplify]: Simplify (sqrt 0) into 0 13.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.015 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.015 * [taylor]: Taking taylor expansion of 1.0 in k 13.015 * [backup-simplify]: Simplify 1.0 into 1.0 13.015 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.015 * [taylor]: Taking taylor expansion of k in k 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [backup-simplify]: Simplify (/ 1 1) into 1 13.015 * [backup-simplify]: Simplify (sqrt 0) into 0 13.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.017 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.018 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.020 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.021 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.021 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.025 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.026 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.026 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 13.027 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 13.027 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 13.027 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.027 * [taylor]: Taking taylor expansion of 1.0 in k 13.027 * [backup-simplify]: Simplify 1.0 into 1.0 13.027 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.027 * [taylor]: Taking taylor expansion of k in k 13.027 * [backup-simplify]: Simplify 0 into 0 13.027 * [backup-simplify]: Simplify 1 into 1 13.027 * [backup-simplify]: Simplify (sqrt 0) into 0 13.028 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.028 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.028 * [taylor]: Taking taylor expansion of 1.0 in k 13.028 * [backup-simplify]: Simplify 1.0 into 1.0 13.028 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.028 * [taylor]: Taking taylor expansion of k in k 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify 1 into 1 13.028 * [backup-simplify]: Simplify (sqrt 0) into 0 13.029 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.029 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.030 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.032 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.033 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.033 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.037 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.037 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.039 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 13.039 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 13.039 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 13.039 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.039 * [taylor]: Taking taylor expansion of 1.0 in k 13.040 * [backup-simplify]: Simplify 1.0 into 1.0 13.040 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.040 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.040 * [taylor]: Taking taylor expansion of -1 in k 13.040 * [backup-simplify]: Simplify -1 into -1 13.040 * [taylor]: Taking taylor expansion of k in k 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 1 into 1 13.040 * [backup-simplify]: Simplify (/ -1 1) into -1 13.040 * [backup-simplify]: Simplify (sqrt 0) into 0 13.042 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.042 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.042 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.042 * [taylor]: Taking taylor expansion of 1.0 in k 13.042 * [backup-simplify]: Simplify 1.0 into 1.0 13.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.042 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.042 * [taylor]: Taking taylor expansion of -1 in k 13.042 * [backup-simplify]: Simplify -1 into -1 13.042 * [taylor]: Taking taylor expansion of k in k 13.042 * [backup-simplify]: Simplify 0 into 0 13.042 * [backup-simplify]: Simplify 1 into 1 13.043 * [backup-simplify]: Simplify (/ -1 1) into -1 13.043 * [backup-simplify]: Simplify (sqrt 0) into 0 13.044 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.045 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.045 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.049 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.051 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.052 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.061 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.063 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.063 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 13.063 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 13.063 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 13.063 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 13.063 * [taylor]: Taking taylor expansion of 1.0 in k 13.063 * [backup-simplify]: Simplify 1.0 into 1.0 13.063 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 13.063 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 13.063 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 13.063 * [taylor]: Taking taylor expansion of 1/4 in k 13.063 * [backup-simplify]: Simplify 1/4 into 1/4 13.063 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.063 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.064 * [taylor]: Taking taylor expansion of k in k 13.064 * [backup-simplify]: Simplify 0 into 0 13.064 * [backup-simplify]: Simplify 1 into 1 13.064 * [backup-simplify]: Simplify (/ 1 1) into 1 13.064 * [backup-simplify]: Simplify (log 1) into 0 13.065 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.065 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 13.065 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 13.065 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 13.065 * [taylor]: Taking taylor expansion of 1.0 in k 13.065 * [backup-simplify]: Simplify 1.0 into 1.0 13.065 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 13.065 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 13.065 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 13.065 * [taylor]: Taking taylor expansion of 1/4 in k 13.065 * [backup-simplify]: Simplify 1/4 into 1/4 13.065 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.065 * [taylor]: Taking taylor expansion of k in k 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 1 into 1 13.066 * [backup-simplify]: Simplify (/ 1 1) into 1 13.066 * [backup-simplify]: Simplify (log 1) into 0 13.067 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.067 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 13.067 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 13.067 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 13.067 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 13.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.070 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.071 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 13.072 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.072 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 13.072 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.077 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.079 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 13.080 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.087 * [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 13.087 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.090 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.092 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 13.092 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.115 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.119 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.121 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 13.121 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.140 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.141 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.147 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.149 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 13.149 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.175 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.176 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.181 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.182 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 13.182 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 13.183 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 13.183 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 13.183 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 13.183 * [taylor]: Taking taylor expansion of 1.0 in k 13.183 * [backup-simplify]: Simplify 1.0 into 1.0 13.183 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 13.183 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 13.183 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 13.183 * [taylor]: Taking taylor expansion of 1/4 in k 13.183 * [backup-simplify]: Simplify 1/4 into 1/4 13.183 * [taylor]: Taking taylor expansion of (log k) in k 13.183 * [taylor]: Taking taylor expansion of k in k 13.183 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify 1 into 1 13.183 * [backup-simplify]: Simplify (log 1) into 0 13.183 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.183 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 13.184 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 13.184 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 13.184 * [taylor]: Taking taylor expansion of 1.0 in k 13.184 * [backup-simplify]: Simplify 1.0 into 1.0 13.184 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 13.184 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 13.184 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 13.184 * [taylor]: Taking taylor expansion of 1/4 in k 13.184 * [backup-simplify]: Simplify 1/4 into 1/4 13.184 * [taylor]: Taking taylor expansion of (log k) in k 13.184 * [taylor]: Taking taylor expansion of k in k 13.184 * [backup-simplify]: Simplify 0 into 0 13.184 * [backup-simplify]: Simplify 1 into 1 13.184 * [backup-simplify]: Simplify (log 1) into 0 13.184 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.184 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 13.184 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 13.185 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 13.185 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 13.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.186 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 13.186 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.187 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 13.187 * [backup-simplify]: Simplify 0 into 0 13.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.189 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.190 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 13.191 * [backup-simplify]: Simplify 0 into 0 13.194 * [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 13.194 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.196 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 13.196 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.202 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.203 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.205 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.206 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 13.206 * [backup-simplify]: Simplify 0 into 0 13.223 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.224 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.230 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.233 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 13.233 * [backup-simplify]: Simplify 0 into 0 13.265 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.265 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.268 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.274 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 13.276 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 13.277 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 13.277 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 13.277 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 13.277 * [taylor]: Taking taylor expansion of 1.0 in k 13.277 * [backup-simplify]: Simplify 1.0 into 1.0 13.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 13.277 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 13.277 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.277 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.277 * [taylor]: Taking taylor expansion of -1 in k 13.277 * [backup-simplify]: Simplify -1 into -1 13.277 * [taylor]: Taking taylor expansion of k in k 13.277 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify 1 into 1 13.278 * [backup-simplify]: Simplify (/ -1 1) into -1 13.278 * [backup-simplify]: Simplify (sqrt 0) into 0 13.280 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.280 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 13.280 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 13.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.284 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.286 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.288 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 13.288 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 13.288 * [taylor]: Taking taylor expansion of 1.0 in k 13.288 * [backup-simplify]: Simplify 1.0 into 1.0 13.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 13.288 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 13.288 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.288 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.288 * [taylor]: Taking taylor expansion of -1 in k 13.288 * [backup-simplify]: Simplify -1 into -1 13.288 * [taylor]: Taking taylor expansion of k in k 13.288 * [backup-simplify]: Simplify 0 into 0 13.288 * [backup-simplify]: Simplify 1 into 1 13.289 * [backup-simplify]: Simplify (/ -1 1) into -1 13.289 * [backup-simplify]: Simplify (sqrt 0) into 0 13.290 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.291 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 13.291 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 13.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.295 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.297 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.299 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 13.300 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 13.301 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 13.303 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 13.306 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 13.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.314 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.319 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 13.328 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 13.332 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 13.339 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 13.339 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.340 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 13.340 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 13.340 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.340 * [taylor]: Taking taylor expansion of 2.0 in n 13.340 * [backup-simplify]: Simplify 2.0 into 2.0 13.340 * [taylor]: Taking taylor expansion of (* n PI) in n 13.340 * [taylor]: Taking taylor expansion of n in n 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [taylor]: Taking taylor expansion of PI in n 13.340 * [backup-simplify]: Simplify PI into PI 13.340 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.340 * [taylor]: Taking taylor expansion of 2.0 in n 13.340 * [backup-simplify]: Simplify 2.0 into 2.0 13.340 * [taylor]: Taking taylor expansion of (* n PI) in n 13.340 * [taylor]: Taking taylor expansion of n in n 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [taylor]: Taking taylor expansion of PI in n 13.340 * [backup-simplify]: Simplify PI into PI 13.340 * [backup-simplify]: Simplify (* 0 PI) into 0 13.341 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.341 * [backup-simplify]: Simplify 0 into 0 13.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.342 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.343 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.344 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 13.344 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.345 * [backup-simplify]: Simplify 0 into 0 13.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.347 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.347 * [backup-simplify]: Simplify 0 into 0 13.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.356 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 13.356 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.360 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 13.364 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 13.364 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 13.366 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 13.366 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 13.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.366 * [taylor]: Taking taylor expansion of 2.0 in n 13.366 * [backup-simplify]: Simplify 2.0 into 2.0 13.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.366 * [taylor]: Taking taylor expansion of PI in n 13.366 * [backup-simplify]: Simplify PI into PI 13.366 * [taylor]: Taking taylor expansion of n in n 13.366 * [backup-simplify]: Simplify 0 into 0 13.366 * [backup-simplify]: Simplify 1 into 1 13.367 * [backup-simplify]: Simplify (/ PI 1) into PI 13.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.367 * [taylor]: Taking taylor expansion of 2.0 in n 13.367 * [backup-simplify]: Simplify 2.0 into 2.0 13.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.367 * [taylor]: Taking taylor expansion of PI in n 13.367 * [backup-simplify]: Simplify PI into PI 13.367 * [taylor]: Taking taylor expansion of n in n 13.367 * [backup-simplify]: Simplify 0 into 0 13.367 * [backup-simplify]: Simplify 1 into 1 13.368 * [backup-simplify]: Simplify (/ PI 1) into PI 13.368 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.369 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.370 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.370 * [backup-simplify]: Simplify 0 into 0 13.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.372 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.372 * [backup-simplify]: Simplify 0 into 0 13.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.375 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.375 * [backup-simplify]: Simplify 0 into 0 13.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.377 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.377 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.380 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.380 * [backup-simplify]: Simplify 0 into 0 13.381 * [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 13.383 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 13.384 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 13.384 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 13.384 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.384 * [taylor]: Taking taylor expansion of -2.0 in n 13.384 * [backup-simplify]: Simplify -2.0 into -2.0 13.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.384 * [taylor]: Taking taylor expansion of PI in n 13.384 * [backup-simplify]: Simplify PI into PI 13.384 * [taylor]: Taking taylor expansion of n in n 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify 1 into 1 13.385 * [backup-simplify]: Simplify (/ PI 1) into PI 13.385 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.385 * [taylor]: Taking taylor expansion of -2.0 in n 13.385 * [backup-simplify]: Simplify -2.0 into -2.0 13.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.385 * [taylor]: Taking taylor expansion of PI in n 13.385 * [backup-simplify]: Simplify PI into PI 13.385 * [taylor]: Taking taylor expansion of n in n 13.385 * [backup-simplify]: Simplify 0 into 0 13.385 * [backup-simplify]: Simplify 1 into 1 13.386 * [backup-simplify]: Simplify (/ PI 1) into PI 13.386 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.387 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.392 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 13.392 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.395 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.395 * [backup-simplify]: Simplify 0 into 0 13.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.397 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.397 * [backup-simplify]: Simplify 0 into 0 13.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.400 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.403 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.403 * [backup-simplify]: Simplify 0 into 0 13.404 * [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 13.406 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.406 * [backup-simplify]: Simplify 0 into 0 13.406 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 13.407 * * * [progress]: simplifying candidates 13.427 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt 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(sqrt h0))) (- (log 1.0) (log (sqrt (sqrt h0)))) (log (/ 1.0 (sqrt (sqrt h0)))) (exp (/ 1.0 (sqrt (sqrt h0)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (sqrt (sqrt h0)))) (* (cbrt (/ 1.0 (sqrt (sqrt h0)))) (cbrt (/ 1.0 (sqrt (sqrt h0))))) (cbrt (/ 1.0 (sqrt (sqrt h0)))) (* (* (/ 1.0 (sqrt (sqrt h0))) (/ 1.0 (sqrt (sqrt h0)))) (/ 1.0 (sqrt (sqrt h0)))) (sqrt (/ 1.0 (sqrt (sqrt h0)))) (sqrt (/ 1.0 (sqrt (sqrt h0)))) (- 1.0) (- (sqrt (sqrt h0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt h0))) (cbrt (sqrt (sqrt h0))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt h0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt h0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt h0) (cbrt h0))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt h0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt h0)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (/ (cbrt 1.0) (sqrt (sqrt h0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt h0)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (sqrt h0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt h0)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (sqrt h0))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt h0))) (cbrt (sqrt (sqrt h0))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt h0)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt h0)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt h0) (cbrt h0))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt h0)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt h0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt h0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt h0)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt (sqrt h0))) (/ 1 (* (cbrt (sqrt (sqrt h0))) (cbrt (sqrt (sqrt h0))))) (/ 1.0 (cbrt (sqrt (sqrt h0)))) (/ 1 (sqrt (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (/ 1.0 (sqrt (cbrt (sqrt h0)))) (/ 1 (sqrt (sqrt (* (cbrt h0) (cbrt h0))))) (/ 1.0 (sqrt (sqrt (cbrt h0)))) (/ 1 (sqrt (sqrt (sqrt h0)))) (/ 1.0 (sqrt (sqrt (sqrt h0)))) (/ 1 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt h0))) (/ 1 (sqrt (sqrt (sqrt h0)))) (/ 1.0 (sqrt (sqrt (sqrt h0)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (sqrt h0))) (/ 1 (sqrt (sqrt (sqrt h0)))) (/ 1.0 (sqrt (sqrt (sqrt h0)))) (/ 1 1) (/ 1.0 (sqrt (sqrt h0))) (/ 1 (sqrt (sqrt h0))) (/ (sqrt (sqrt h0)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt h0))) (cbrt (sqrt (sqrt h0))))) (/ 1.0 (sqrt (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (/ 1.0 (sqrt (sqrt (* (cbrt h0) (cbrt h0))))) (/ 1.0 (sqrt (sqrt (sqrt h0)))) (/ 1.0 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt (sqrt h0)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (sqrt h0)))) (/ 1.0 1) (/ (sqrt (sqrt h0)) (cbrt 1.0)) (/ (sqrt (sqrt h0)) (sqrt 1.0)) (/ (sqrt (sqrt h0)) 1.0) (* (* 2.0 h2) h1) (* (* 2.0 h2) h1) (+ (+ (log 2.0) (log h2)) (log h1)) (+ (log (* 2.0 h2)) (log h1)) (log (* (* 2.0 h2) h1)) (exp (* (* 2.0 h2) h1)) (* (* (* (* 2.0 2.0) 2.0) (* (* h2 h2) h2)) (* (* h1 h1) h1)) (* (* (* (* 2.0 h2) (* 2.0 h2)) (* 2.0 h2)) (* (* h1 h1) h1)) (* (cbrt (* (* 2.0 h2) h1)) (cbrt (* (* 2.0 h2) h1))) (cbrt (* (* 2.0 h2) h1)) (* (* (* (* 2.0 h2) h1) (* (* 2.0 h2) h1)) (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (sqrt (* (* 2.0 h2) h1)) (* (* 2.0 h2) (* (cbrt h1) (cbrt h1))) (* (* 2.0 h2) (sqrt h1)) (* (* 2.0 h2) 1) (* h2 h1) (- (+ (* (/ 1.0 8.0) (* (pow h0 2) (* (pow (log (* 2.0 h2)) 2) (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1))))))) (+ (* (/ 1.0 8.0) (* (pow h0 2) (* (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1)))) (pow (log h1) 2)))) (+ (* (/ 1.0 4.0) (* (pow h0 2) (* (log (* 2.0 h2)) (* (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1)))) (log h1))))) (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1))))))) (+ (* (/ 1.0 2.0) (* h0 (* (log (* 2.0 h2)) (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1))))))) (* (/ 1.0 2.0) (* h0 (* (exp (* (/ 1.0 2.0) (+ (log (* 2.0 h2)) (log h1)))) (log h1)))))) (exp (* (/ 1.0 2.0) (* (- (log (* 2.0 h2)) (log (/ 1 h1))) (- 1.0 h0)))) (exp (* (/ 1.0 2.0) (* (- 1.0 h0) (- (log (* -2.0 h2)) (log (/ -1 h1)))))) (- (+ (* h3 h0) (- (+ (* h3 (pow h0 2)) (- h3))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- (* h3 (/ 1 (pow h0 3)))))))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- h3))))) (* 1.0 (pow (/ 1 h0) (/ 1 4))) (* 1.0 (pow (/ 1 h0) (/ 1 4))) (- (* 1.0 (sqrt h3)) (+ (* h3 (/ 1 (* (sqrt h3) (pow h0 2)))) (- (+ (* h3 (/ 1 (* (sqrt h3) h0))) (- (* h3 (/ 1 (* (pow (sqrt h3) 3) (pow h0 2))))))))) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) (* 2.0 (* h1 h2)) 14.168 * * * [progress]: adding candidates to table 15.739 * [progress]: [Phase 3 of 3] Extracting. 15.739 * * [regime]: Finding splitpoints for: (# # # # # # #) 15.745 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 15.745 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 15.807 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 15.863 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 15.912 * * * [regime]: Found split indices: #