55.659 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.181 * * * [progress]: [2/2] Setting up program. 0.185 * [progress]: [Phase 2 of 3] Improving. 0.186 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.186 * * [simplify]: Extracting # 0 : cost 0 0.186 * * [simplify]: Extracting # 1 : cost 0 0.186 * * [simplify]: Extracting # 2 : cost 0 0.186 * * [simplify]: Extracting # 3 : cost 0 0.186 * * [simplify]: Extracting # 4 : cost 0 0.186 * * [simplify]: Extracting # 5 : cost 0 0.186 * * [simplify]: Extracting # 6 : cost 0 0.186 * * [simplify]: Extracting # 7 : cost 0 0.186 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.192 * * [simplify]: Extracting # 0 : cost 0 0.192 * * [simplify]: Extracting # 1 : cost 0 0.192 * * [simplify]: Extracting # 2 : cost 0 0.192 * * [simplify]: Extracting # 3 : cost 0 0.192 * * [simplify]: Extracting # 4 : cost 0 0.192 * * [simplify]: Extracting # 5 : cost 0 0.192 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.203 * * [simplify]: Extracting # 0 : cost 0 0.203 * * [simplify]: Extracting # 1 : cost 0 0.203 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: Extracting # 3 : cost 0 0.204 * * [simplify]: Extracting # 4 : cost 0 0.204 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.261 * * [simplify]: Extracting # 0 : cost 0 0.261 * * [simplify]: Extracting # 1 : cost 0 0.261 * * [simplify]: Extracting # 2 : cost 0 0.261 * * [simplify]: Extracting # 3 : cost 0 0.262 * * [simplify]: Extracting # 4 : cost 0 0.262 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.300 * * [simplify]: Extracting # 0 : cost 0 0.300 * * [simplify]: Extracting # 1 : cost 0 0.301 * * [simplify]: Extracting # 2 : cost 0 0.301 * * [simplify]: Extracting # 3 : cost 0 0.301 * * [simplify]: Extracting # 4 : cost 0 0.302 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.500 * * [simplify]: Extracting # 0 : cost 0 0.503 * * [simplify]: Extracting # 1 : cost 0 0.505 * * [simplify]: Extracting # 2 : cost 0 0.506 * * [simplify]: Extracting # 3 : cost 0 0.507 * * [simplify]: Extracting # 4 : cost 0 0.509 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.077 * * [simplify]: Extracting # 0 : cost 0 2.084 * * [simplify]: Extracting # 1 : cost 0 2.090 * * [simplify]: Extracting # 2 : cost 0 2.096 * * [simplify]: Extracting # 3 : cost 0 2.102 * * [simplify]: Extracting # 4 : cost 0 2.107 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 4.050 * * [simplify]: Extracting # 0 : cost 0 4.061 * * [simplify]: Extracting # 1 : cost 0 4.077 * * [simplify]: Extracting # 2 : cost 0 4.087 * * [simplify]: Extracting # 3 : cost 0 4.097 * * [simplify]: Extracting # 4 : cost 0 4.106 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.107 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.107 * * [progress]: iteration 1 / 4 4.107 * * * [progress]: picking best candidate 4.112 * * * * [pick]: Picked # 4.112 * * * [progress]: localizing error 4.143 * * * [progress]: generating rewritten candidates 4.143 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.188 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.246 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.341 * * * [progress]: generating series expansions 4.341 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.343 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.343 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.343 * [taylor]: Taking taylor expansion of 0.5 in k 4.343 * [backup-simplify]: Simplify 0.5 into 0.5 4.343 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.343 * [taylor]: Taking taylor expansion of 1.0 in k 4.343 * [backup-simplify]: Simplify 1.0 into 1.0 4.343 * [taylor]: Taking taylor expansion of k in k 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.343 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.343 * [taylor]: Taking taylor expansion of 2.0 in k 4.343 * [backup-simplify]: Simplify 2.0 into 2.0 4.343 * [taylor]: Taking taylor expansion of (* n PI) in k 4.343 * [taylor]: Taking taylor expansion of n in k 4.343 * [backup-simplify]: Simplify n into n 4.343 * [taylor]: Taking taylor expansion of PI in k 4.343 * [backup-simplify]: Simplify PI into PI 4.343 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.344 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.344 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.344 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.345 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.345 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.346 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.346 * [taylor]: Taking taylor expansion of 0.5 in n 4.346 * [backup-simplify]: Simplify 0.5 into 0.5 4.346 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.346 * [taylor]: Taking taylor expansion of 1.0 in n 4.346 * [backup-simplify]: Simplify 1.0 into 1.0 4.346 * [taylor]: Taking taylor expansion of k in n 4.346 * [backup-simplify]: Simplify k into k 4.346 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.346 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.346 * [taylor]: Taking taylor expansion of 2.0 in n 4.346 * [backup-simplify]: Simplify 2.0 into 2.0 4.346 * [taylor]: Taking taylor expansion of (* n PI) in n 4.346 * [taylor]: Taking taylor expansion of n in n 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [taylor]: Taking taylor expansion of PI in n 4.346 * [backup-simplify]: Simplify PI into PI 4.347 * [backup-simplify]: Simplify (* 0 PI) into 0 4.347 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.349 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.351 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.352 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.352 * [backup-simplify]: Simplify (- k) into (- k) 4.352 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.352 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.355 * [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)))) 4.356 * [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))))) 4.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.356 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.356 * [taylor]: Taking taylor expansion of 0.5 in n 4.356 * [backup-simplify]: Simplify 0.5 into 0.5 4.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.356 * [taylor]: Taking taylor expansion of 1.0 in n 4.356 * [backup-simplify]: Simplify 1.0 into 1.0 4.356 * [taylor]: Taking taylor expansion of k in n 4.356 * [backup-simplify]: Simplify k into k 4.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.356 * [taylor]: Taking taylor expansion of 2.0 in n 4.356 * [backup-simplify]: Simplify 2.0 into 2.0 4.356 * [taylor]: Taking taylor expansion of (* n PI) in n 4.356 * [taylor]: Taking taylor expansion of n in n 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.357 * [taylor]: Taking taylor expansion of PI in n 4.357 * [backup-simplify]: Simplify PI into PI 4.357 * [backup-simplify]: Simplify (* 0 PI) into 0 4.357 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.359 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.361 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.362 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.362 * [backup-simplify]: Simplify (- k) into (- k) 4.362 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.362 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.363 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.365 * [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)))) 4.366 * [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))))) 4.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.366 * [taylor]: Taking taylor expansion of 0.5 in k 4.366 * [backup-simplify]: Simplify 0.5 into 0.5 4.366 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.366 * [taylor]: Taking taylor expansion of 1.0 in k 4.366 * [backup-simplify]: Simplify 1.0 into 1.0 4.366 * [taylor]: Taking taylor expansion of k in k 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.366 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.366 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.367 * [taylor]: Taking taylor expansion of 2.0 in k 4.367 * [backup-simplify]: Simplify 2.0 into 2.0 4.367 * [taylor]: Taking taylor expansion of PI in k 4.367 * [backup-simplify]: Simplify PI into PI 4.367 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.368 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.368 * [taylor]: Taking taylor expansion of (log n) in k 4.368 * [taylor]: Taking taylor expansion of n in k 4.368 * [backup-simplify]: Simplify n into n 4.368 * [backup-simplify]: Simplify (log n) into (log n) 4.369 * [backup-simplify]: Simplify (- 0) into 0 4.369 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.370 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.371 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.373 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.374 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.375 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.377 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.380 * [backup-simplify]: Simplify (- 0) into 0 4.380 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.382 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.383 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.385 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.385 * [taylor]: Taking taylor expansion of 0 in k 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.389 * [backup-simplify]: Simplify (+ 0 0) into 0 4.390 * [backup-simplify]: Simplify (- 1) into -1 4.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.392 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.394 * [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)))) 4.398 * [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)))))) 4.401 * [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)))))) 4.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.403 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.407 * [backup-simplify]: Simplify (- 0) into 0 4.408 * [backup-simplify]: Simplify (+ 0 0) into 0 4.409 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.410 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.412 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.414 * [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 4.414 * [taylor]: Taking taylor expansion of 0 in k 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.419 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.421 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.422 * [backup-simplify]: Simplify (+ 0 0) into 0 4.422 * [backup-simplify]: Simplify (- 0) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.425 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.432 * [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)))))) 4.438 * [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)))))) 4.449 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 4.450 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 4.450 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.450 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.450 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.450 * [taylor]: Taking taylor expansion of 0.5 in k 4.450 * [backup-simplify]: Simplify 0.5 into 0.5 4.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.450 * [taylor]: Taking taylor expansion of 1.0 in k 4.450 * [backup-simplify]: Simplify 1.0 into 1.0 4.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.450 * [taylor]: Taking taylor expansion of k in k 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (/ 1 1) into 1 4.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.451 * [taylor]: Taking taylor expansion of 2.0 in k 4.451 * [backup-simplify]: Simplify 2.0 into 2.0 4.451 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.451 * [taylor]: Taking taylor expansion of PI in k 4.451 * [backup-simplify]: Simplify PI into PI 4.451 * [taylor]: Taking taylor expansion of n in k 4.451 * [backup-simplify]: Simplify n into n 4.451 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.451 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.451 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.452 * [backup-simplify]: Simplify (- 1) into -1 4.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.453 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.453 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.453 * [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))))) 4.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.453 * [taylor]: Taking taylor expansion of 0.5 in n 4.453 * [backup-simplify]: Simplify 0.5 into 0.5 4.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.453 * [taylor]: Taking taylor expansion of 1.0 in n 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.453 * [taylor]: Taking taylor expansion of k in n 4.454 * [backup-simplify]: Simplify k into k 4.454 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.454 * [taylor]: Taking taylor expansion of 2.0 in n 4.454 * [backup-simplify]: Simplify 2.0 into 2.0 4.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.454 * [taylor]: Taking taylor expansion of PI in n 4.454 * [backup-simplify]: Simplify PI into PI 4.454 * [taylor]: Taking taylor expansion of n in n 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [backup-simplify]: Simplify (/ PI 1) into PI 4.455 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.456 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.456 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.456 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.456 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.459 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.460 * [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))))) 4.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.460 * [taylor]: Taking taylor expansion of 0.5 in n 4.460 * [backup-simplify]: Simplify 0.5 into 0.5 4.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.460 * [taylor]: Taking taylor expansion of 1.0 in n 4.460 * [backup-simplify]: Simplify 1.0 into 1.0 4.460 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.460 * [taylor]: Taking taylor expansion of k in n 4.460 * [backup-simplify]: Simplify k into k 4.460 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.460 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.460 * [taylor]: Taking taylor expansion of 2.0 in n 4.461 * [backup-simplify]: Simplify 2.0 into 2.0 4.461 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.461 * [taylor]: Taking taylor expansion of PI in n 4.461 * [backup-simplify]: Simplify PI into PI 4.461 * [taylor]: Taking taylor expansion of n in n 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [backup-simplify]: Simplify (/ PI 1) into PI 4.462 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.463 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.463 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.463 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.463 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.464 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.466 * [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)))) 4.467 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.467 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.467 * [taylor]: Taking taylor expansion of 0.5 in k 4.467 * [backup-simplify]: Simplify 0.5 into 0.5 4.467 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.467 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.467 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.467 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.467 * [taylor]: Taking taylor expansion of 2.0 in k 4.467 * [backup-simplify]: Simplify 2.0 into 2.0 4.467 * [taylor]: Taking taylor expansion of PI in k 4.467 * [backup-simplify]: Simplify PI into PI 4.468 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.469 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.469 * [taylor]: Taking taylor expansion of (log n) in k 4.469 * [taylor]: Taking taylor expansion of n in k 4.469 * [backup-simplify]: Simplify n into n 4.469 * [backup-simplify]: Simplify (log n) into (log n) 4.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.469 * [taylor]: Taking taylor expansion of 1.0 in k 4.469 * [backup-simplify]: Simplify 1.0 into 1.0 4.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.469 * [taylor]: Taking taylor expansion of k in k 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (/ 1 1) into 1 4.470 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.476 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.477 * [backup-simplify]: Simplify (- 1) into -1 4.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.478 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.479 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.481 * [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))))) 4.482 * [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))))) 4.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.486 * [backup-simplify]: Simplify (- 0) into 0 4.487 * [backup-simplify]: Simplify (+ 0 0) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.490 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.492 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.492 * [taylor]: Taking taylor expansion of 0 in k 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.499 * [backup-simplify]: Simplify (- 0) into 0 4.499 * [backup-simplify]: Simplify (+ 0 0) into 0 4.500 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.501 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.503 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.506 * [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 4.506 * [taylor]: Taking taylor expansion of 0 in k 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.514 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 4.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.515 * [backup-simplify]: Simplify (- 0) into 0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.518 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.520 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.523 * [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 4.523 * [taylor]: Taking taylor expansion of 0 in k 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 0 into 0 4.524 * [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)))) 4.525 * [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))) 4.525 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.525 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.525 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.525 * [taylor]: Taking taylor expansion of 0.5 in k 4.525 * [backup-simplify]: Simplify 0.5 into 0.5 4.525 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.526 * [taylor]: Taking taylor expansion of k in k 4.526 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify 1 into 1 4.526 * [backup-simplify]: Simplify (/ 1 1) into 1 4.526 * [taylor]: Taking taylor expansion of 1.0 in k 4.526 * [backup-simplify]: Simplify 1.0 into 1.0 4.526 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.526 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.526 * [taylor]: Taking taylor expansion of -2.0 in k 4.526 * [backup-simplify]: Simplify -2.0 into -2.0 4.526 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.526 * [taylor]: Taking taylor expansion of PI in k 4.526 * [backup-simplify]: Simplify PI into PI 4.526 * [taylor]: Taking taylor expansion of n in k 4.526 * [backup-simplify]: Simplify n into n 4.526 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.526 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.527 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.527 * [backup-simplify]: Simplify (+ 1 0) into 1 4.527 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.528 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.528 * [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)))))) 4.528 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.528 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.528 * [taylor]: Taking taylor expansion of 0.5 in n 4.528 * [backup-simplify]: Simplify 0.5 into 0.5 4.528 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.528 * [taylor]: Taking taylor expansion of k in n 4.528 * [backup-simplify]: Simplify k into k 4.528 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.528 * [taylor]: Taking taylor expansion of 1.0 in n 4.528 * [backup-simplify]: Simplify 1.0 into 1.0 4.528 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.529 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.529 * [taylor]: Taking taylor expansion of -2.0 in n 4.529 * [backup-simplify]: Simplify -2.0 into -2.0 4.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.529 * [taylor]: Taking taylor expansion of PI in n 4.529 * [backup-simplify]: Simplify PI into PI 4.529 * [taylor]: Taking taylor expansion of n in n 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 1 into 1 4.529 * [backup-simplify]: Simplify (/ PI 1) into PI 4.530 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.531 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.531 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.531 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.534 * [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)))) 4.535 * [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))))) 4.535 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.535 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.535 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.535 * [taylor]: Taking taylor expansion of 0.5 in n 4.535 * [backup-simplify]: Simplify 0.5 into 0.5 4.535 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.535 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.535 * [taylor]: Taking taylor expansion of k in n 4.535 * [backup-simplify]: Simplify k into k 4.535 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.535 * [taylor]: Taking taylor expansion of 1.0 in n 4.536 * [backup-simplify]: Simplify 1.0 into 1.0 4.536 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.536 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.536 * [taylor]: Taking taylor expansion of -2.0 in n 4.536 * [backup-simplify]: Simplify -2.0 into -2.0 4.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.536 * [taylor]: Taking taylor expansion of PI in n 4.536 * [backup-simplify]: Simplify PI into PI 4.536 * [taylor]: Taking taylor expansion of n in n 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 1 into 1 4.536 * [backup-simplify]: Simplify (/ PI 1) into PI 4.537 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.538 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.538 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.538 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.541 * [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)))) 4.542 * [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))))) 4.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.542 * [taylor]: Taking taylor expansion of 0.5 in k 4.542 * [backup-simplify]: Simplify 0.5 into 0.5 4.542 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.542 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.542 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.542 * [taylor]: Taking taylor expansion of k in k 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (/ 1 1) into 1 4.543 * [taylor]: Taking taylor expansion of 1.0 in k 4.543 * [backup-simplify]: Simplify 1.0 into 1.0 4.543 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.543 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.543 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.543 * [taylor]: Taking taylor expansion of -2.0 in k 4.543 * [backup-simplify]: Simplify -2.0 into -2.0 4.543 * [taylor]: Taking taylor expansion of PI in k 4.543 * [backup-simplify]: Simplify PI into PI 4.544 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.545 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.545 * [taylor]: Taking taylor expansion of (log n) in k 4.545 * [taylor]: Taking taylor expansion of n in k 4.545 * [backup-simplify]: Simplify n into n 4.545 * [backup-simplify]: Simplify (log n) into (log n) 4.545 * [backup-simplify]: Simplify (+ 1 0) into 1 4.545 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.546 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.548 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.549 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.550 * [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))))) 4.551 * [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))))) 4.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.556 * [backup-simplify]: Simplify (+ 0 0) into 0 4.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.558 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.559 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.561 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.561 * [taylor]: Taking taylor expansion of 0 in k 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.563 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.568 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.572 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.575 * [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 4.575 * [taylor]: Taking taylor expansion of 0 in k 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.583 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.584 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.589 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.592 * [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 4.592 * [taylor]: Taking taylor expansion of 0 in k 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [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)))))) 4.593 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.594 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.594 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.594 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.594 * [taylor]: Taking taylor expansion of 1.0 in k 4.594 * [backup-simplify]: Simplify 1.0 into 1.0 4.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.594 * [taylor]: Taking taylor expansion of k in k 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ 1 1) into 1 4.595 * [backup-simplify]: Simplify (sqrt 0) into 0 4.596 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.596 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.596 * [taylor]: Taking taylor expansion of 1.0 in k 4.596 * [backup-simplify]: Simplify 1.0 into 1.0 4.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.596 * [taylor]: Taking taylor expansion of k in k 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.597 * [backup-simplify]: Simplify (/ 1 1) into 1 4.597 * [backup-simplify]: Simplify (sqrt 0) into 0 4.598 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.599 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.601 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.607 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.608 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.615 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.616 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.617 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.618 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.618 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.618 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.618 * [taylor]: Taking taylor expansion of 1.0 in k 4.618 * [backup-simplify]: Simplify 1.0 into 1.0 4.618 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.618 * [taylor]: Taking taylor expansion of k in k 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (sqrt 0) into 0 4.620 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.620 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.620 * [taylor]: Taking taylor expansion of 1.0 in k 4.620 * [backup-simplify]: Simplify 1.0 into 1.0 4.620 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.620 * [taylor]: Taking taylor expansion of k in k 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.620 * [backup-simplify]: Simplify (sqrt 0) into 0 4.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.622 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.624 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.631 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.634 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.634 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.641 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.641 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.643 * [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)))))))) 4.643 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.643 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.643 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.643 * [taylor]: Taking taylor expansion of 1.0 in k 4.643 * [backup-simplify]: Simplify 1.0 into 1.0 4.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.643 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.643 * [taylor]: Taking taylor expansion of -1 in k 4.643 * [backup-simplify]: Simplify -1 into -1 4.643 * [taylor]: Taking taylor expansion of k in k 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.644 * [backup-simplify]: Simplify (/ -1 1) into -1 4.644 * [backup-simplify]: Simplify (sqrt 0) into 0 4.646 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.646 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.646 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.646 * [taylor]: Taking taylor expansion of 1.0 in k 4.646 * [backup-simplify]: Simplify 1.0 into 1.0 4.646 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.646 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.646 * [taylor]: Taking taylor expansion of -1 in k 4.646 * [backup-simplify]: Simplify -1 into -1 4.646 * [taylor]: Taking taylor expansion of k in k 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (/ -1 1) into -1 4.647 * [backup-simplify]: Simplify (sqrt 0) into 0 4.648 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.649 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.649 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.656 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.656 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.665 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.666 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.667 * [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))))) 4.667 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.668 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.668 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.668 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.668 * [taylor]: Taking taylor expansion of 2.0 in n 4.668 * [backup-simplify]: Simplify 2.0 into 2.0 4.668 * [taylor]: Taking taylor expansion of (* n PI) in n 4.668 * [taylor]: Taking taylor expansion of n in n 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of PI in n 4.668 * [backup-simplify]: Simplify PI into PI 4.668 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.668 * [taylor]: Taking taylor expansion of 2.0 in n 4.668 * [backup-simplify]: Simplify 2.0 into 2.0 4.668 * [taylor]: Taking taylor expansion of (* n PI) in n 4.668 * [taylor]: Taking taylor expansion of n in n 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of PI in n 4.668 * [backup-simplify]: Simplify PI into PI 4.669 * [backup-simplify]: Simplify (* 0 PI) into 0 4.669 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.671 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.671 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.672 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.674 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.674 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.675 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.675 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.677 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.682 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.682 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.682 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.682 * [taylor]: Taking taylor expansion of 2.0 in n 4.682 * [backup-simplify]: Simplify 2.0 into 2.0 4.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.682 * [taylor]: Taking taylor expansion of PI in n 4.682 * [backup-simplify]: Simplify PI into PI 4.682 * [taylor]: Taking taylor expansion of n in n 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (/ PI 1) into PI 4.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.683 * [taylor]: Taking taylor expansion of 2.0 in n 4.683 * [backup-simplify]: Simplify 2.0 into 2.0 4.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.683 * [taylor]: Taking taylor expansion of PI in n 4.683 * [backup-simplify]: Simplify PI into PI 4.683 * [taylor]: Taking taylor expansion of n in n 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (/ PI 1) into PI 4.684 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.684 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.691 * [backup-simplify]: Simplify 0 into 0 4.692 * [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 4.693 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.694 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.694 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.694 * [taylor]: Taking taylor expansion of -2.0 in n 4.694 * [backup-simplify]: Simplify -2.0 into -2.0 4.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.694 * [taylor]: Taking taylor expansion of PI in n 4.694 * [backup-simplify]: Simplify PI into PI 4.694 * [taylor]: Taking taylor expansion of n in n 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [backup-simplify]: Simplify (/ PI 1) into PI 4.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.694 * [taylor]: Taking taylor expansion of -2.0 in n 4.694 * [backup-simplify]: Simplify -2.0 into -2.0 4.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.694 * [taylor]: Taking taylor expansion of PI in n 4.694 * [backup-simplify]: Simplify PI into PI 4.694 * [taylor]: Taking taylor expansion of n in n 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (/ PI 1) into PI 4.695 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.695 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.697 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.704 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.704 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.707 * [backup-simplify]: Simplify 0 into 0 4.708 * [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 4.710 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.711 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.712 * [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))))) 4.712 * [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 4.712 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.712 * [taylor]: Taking taylor expansion of 1.0 in n 4.712 * [backup-simplify]: Simplify 1.0 into 1.0 4.712 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.712 * [taylor]: Taking taylor expansion of k in n 4.712 * [backup-simplify]: Simplify k into k 4.712 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.712 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.713 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.713 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.713 * [taylor]: Taking taylor expansion of 0.5 in n 4.713 * [backup-simplify]: Simplify 0.5 into 0.5 4.713 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.713 * [taylor]: Taking taylor expansion of 1.0 in n 4.713 * [backup-simplify]: Simplify 1.0 into 1.0 4.713 * [taylor]: Taking taylor expansion of k in n 4.713 * [backup-simplify]: Simplify k into k 4.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.713 * [taylor]: Taking taylor expansion of 2.0 in n 4.713 * [backup-simplify]: Simplify 2.0 into 2.0 4.713 * [taylor]: Taking taylor expansion of (* n PI) in n 4.713 * [taylor]: Taking taylor expansion of n in n 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of PI in n 4.713 * [backup-simplify]: Simplify PI into PI 4.713 * [backup-simplify]: Simplify (* 0 PI) into 0 4.714 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.715 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.716 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.716 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.716 * [backup-simplify]: Simplify (- k) into (- k) 4.716 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.716 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.718 * [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)))) 4.719 * [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))))) 4.719 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.719 * [taylor]: Taking taylor expansion of 1.0 in k 4.719 * [backup-simplify]: Simplify 1.0 into 1.0 4.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.719 * [taylor]: Taking taylor expansion of k in k 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [backup-simplify]: Simplify (sqrt 0) into 0 4.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.720 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.720 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.721 * [taylor]: Taking taylor expansion of 0.5 in k 4.721 * [backup-simplify]: Simplify 0.5 into 0.5 4.721 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.721 * [taylor]: Taking taylor expansion of 1.0 in k 4.721 * [backup-simplify]: Simplify 1.0 into 1.0 4.721 * [taylor]: Taking taylor expansion of k in k 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.721 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.721 * [taylor]: Taking taylor expansion of 2.0 in k 4.721 * [backup-simplify]: Simplify 2.0 into 2.0 4.721 * [taylor]: Taking taylor expansion of (* n PI) in k 4.721 * [taylor]: Taking taylor expansion of n in k 4.721 * [backup-simplify]: Simplify n into n 4.721 * [taylor]: Taking taylor expansion of PI in k 4.721 * [backup-simplify]: Simplify PI into PI 4.721 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.721 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.721 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.721 * [backup-simplify]: Simplify (- 0) into 0 4.721 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.722 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.722 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.722 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.722 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.722 * [taylor]: Taking taylor expansion of 1.0 in k 4.722 * [backup-simplify]: Simplify 1.0 into 1.0 4.722 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.722 * [taylor]: Taking taylor expansion of k in k 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (/ 1 1) into 1 4.723 * [backup-simplify]: Simplify (sqrt 0) into 0 4.723 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.724 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.724 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.724 * [taylor]: Taking taylor expansion of 0.5 in k 4.724 * [backup-simplify]: Simplify 0.5 into 0.5 4.724 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.724 * [taylor]: Taking taylor expansion of 1.0 in k 4.724 * [backup-simplify]: Simplify 1.0 into 1.0 4.724 * [taylor]: Taking taylor expansion of k in k 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.724 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.724 * [taylor]: Taking taylor expansion of 2.0 in k 4.724 * [backup-simplify]: Simplify 2.0 into 2.0 4.724 * [taylor]: Taking taylor expansion of (* n PI) in k 4.724 * [taylor]: Taking taylor expansion of n in k 4.724 * [backup-simplify]: Simplify n into n 4.724 * [taylor]: Taking taylor expansion of PI in k 4.724 * [backup-simplify]: Simplify PI into PI 4.724 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.724 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.724 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.724 * [backup-simplify]: Simplify (- 0) into 0 4.725 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.725 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.725 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.725 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.725 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.726 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.726 * [taylor]: Taking taylor expansion of 0 in n 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.726 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.727 * [backup-simplify]: Simplify (- 1) into -1 4.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.728 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.729 * [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))) 4.730 * [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))) 4.732 * [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))) 4.732 * [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 4.732 * [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 4.732 * [taylor]: Taking taylor expansion of +nan.0 in n 4.732 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.732 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.732 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.732 * [taylor]: Taking taylor expansion of 0.5 in n 4.732 * [backup-simplify]: Simplify 0.5 into 0.5 4.732 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.732 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.732 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.732 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.732 * [taylor]: Taking taylor expansion of 1.0 in n 4.732 * [backup-simplify]: Simplify 1.0 into 1.0 4.732 * [taylor]: Taking taylor expansion of (log PI) in n 4.732 * [taylor]: Taking taylor expansion of PI in n 4.732 * [backup-simplify]: Simplify PI into PI 4.732 * [backup-simplify]: Simplify (log PI) into (log PI) 4.733 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.734 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.734 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.734 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.734 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.734 * [taylor]: Taking taylor expansion of 1.0 in n 4.734 * [backup-simplify]: Simplify 1.0 into 1.0 4.734 * [taylor]: Taking taylor expansion of (log n) in n 4.734 * [taylor]: Taking taylor expansion of n in n 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (log 1) into 0 4.735 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.735 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.735 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.735 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.735 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.735 * [taylor]: Taking taylor expansion of 1.0 in n 4.735 * [backup-simplify]: Simplify 1.0 into 1.0 4.735 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.735 * [taylor]: Taking taylor expansion of 2.0 in n 4.735 * [backup-simplify]: Simplify 2.0 into 2.0 4.735 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.736 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.737 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.737 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.738 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.739 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.740 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.741 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.743 * [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)) 4.744 * [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))) 4.745 * [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))) 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.754 * [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 4.755 * [backup-simplify]: Simplify (- 0) into 0 4.755 * [backup-simplify]: Simplify (+ 0 0) into 0 4.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.758 * [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))) 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.760 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.762 * [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)))))))) 4.765 * [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)))))))) 4.766 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.766 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.766 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.766 * [taylor]: Taking taylor expansion of +nan.0 in n 4.766 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.766 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.766 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.766 * [taylor]: Taking taylor expansion of 0.5 in n 4.766 * [backup-simplify]: Simplify 0.5 into 0.5 4.766 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.766 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.766 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.766 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.766 * [taylor]: Taking taylor expansion of 1.0 in n 4.766 * [backup-simplify]: Simplify 1.0 into 1.0 4.766 * [taylor]: Taking taylor expansion of (log PI) in n 4.766 * [taylor]: Taking taylor expansion of PI in n 4.766 * [backup-simplify]: Simplify PI into PI 4.766 * [backup-simplify]: Simplify (log PI) into (log PI) 4.767 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.768 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.768 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.768 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.768 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.768 * [taylor]: Taking taylor expansion of 1.0 in n 4.768 * [backup-simplify]: Simplify 1.0 into 1.0 4.768 * [taylor]: Taking taylor expansion of (log n) in n 4.768 * [taylor]: Taking taylor expansion of n in n 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [backup-simplify]: Simplify (log 1) into 0 4.769 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.769 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.769 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.769 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.769 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.769 * [taylor]: Taking taylor expansion of 1.0 in n 4.769 * [backup-simplify]: Simplify 1.0 into 1.0 4.769 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.769 * [taylor]: Taking taylor expansion of 2.0 in n 4.769 * [backup-simplify]: Simplify 2.0 into 2.0 4.769 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.770 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.771 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.771 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.772 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.773 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.774 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.775 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.775 * [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 4.775 * [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 4.775 * [taylor]: Taking taylor expansion of +nan.0 in n 4.775 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.775 * [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 4.775 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.775 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.775 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.775 * [taylor]: Taking taylor expansion of 0.5 in n 4.775 * [backup-simplify]: Simplify 0.5 into 0.5 4.775 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.775 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.775 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.775 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.775 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.775 * [taylor]: Taking taylor expansion of 1.0 in n 4.775 * [backup-simplify]: Simplify 1.0 into 1.0 4.775 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.775 * [taylor]: Taking taylor expansion of 2.0 in n 4.775 * [backup-simplify]: Simplify 2.0 into 2.0 4.776 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.776 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.777 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.777 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.777 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.777 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.777 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.777 * [taylor]: Taking taylor expansion of 1.0 in n 4.777 * [backup-simplify]: Simplify 1.0 into 1.0 4.777 * [taylor]: Taking taylor expansion of (log PI) in n 4.777 * [taylor]: Taking taylor expansion of PI in n 4.777 * [backup-simplify]: Simplify PI into PI 4.778 * [backup-simplify]: Simplify (log PI) into (log PI) 4.778 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.779 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.779 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.779 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.779 * [taylor]: Taking taylor expansion of 1.0 in n 4.779 * [backup-simplify]: Simplify 1.0 into 1.0 4.779 * [taylor]: Taking taylor expansion of (log n) in n 4.779 * [taylor]: Taking taylor expansion of n in n 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.780 * [backup-simplify]: Simplify (log 1) into 0 4.780 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.780 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.780 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.781 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.781 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.782 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.783 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.784 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.784 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.784 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.784 * [taylor]: Taking taylor expansion of 2.0 in n 4.784 * [backup-simplify]: Simplify 2.0 into 2.0 4.784 * [taylor]: Taking taylor expansion of (* n PI) in n 4.784 * [taylor]: Taking taylor expansion of n in n 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [taylor]: Taking taylor expansion of PI in n 4.784 * [backup-simplify]: Simplify PI into PI 4.785 * [backup-simplify]: Simplify (* 0 PI) into 0 4.785 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.787 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.788 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.789 * [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)) 4.790 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.793 * [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)) 4.796 * [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))) 4.798 * [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)))))) 4.804 * [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)))))))) 4.811 * [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)))))))) 4.818 * [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)))))))) 4.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.821 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.822 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.824 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.825 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.826 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.827 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.829 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.831 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.832 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 4.837 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 4.838 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.839 * [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 4.839 * [backup-simplify]: Simplify (- 0) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.841 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.843 * [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 4.843 * [backup-simplify]: Simplify (- 0) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.846 * [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))) 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.853 * [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)))))))) 4.860 * [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)))))))) 4.860 * [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 4.860 * [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 4.860 * [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 4.860 * [taylor]: Taking taylor expansion of +nan.0 in n 4.860 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.860 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.860 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.860 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.860 * [taylor]: Taking taylor expansion of 0.5 in n 4.860 * [backup-simplify]: Simplify 0.5 into 0.5 4.860 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.860 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.860 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.860 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.860 * [taylor]: Taking taylor expansion of 1.0 in n 4.860 * [backup-simplify]: Simplify 1.0 into 1.0 4.860 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.860 * [taylor]: Taking taylor expansion of 2.0 in n 4.860 * [backup-simplify]: Simplify 2.0 into 2.0 4.861 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.861 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.862 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.862 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.862 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.862 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.862 * [taylor]: Taking taylor expansion of 1.0 in n 4.862 * [backup-simplify]: Simplify 1.0 into 1.0 4.862 * [taylor]: Taking taylor expansion of (log n) in n 4.862 * [taylor]: Taking taylor expansion of n in n 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (log 1) into 0 4.863 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.863 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.863 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.863 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.863 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.863 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.863 * [taylor]: Taking taylor expansion of 1.0 in n 4.863 * [backup-simplify]: Simplify 1.0 into 1.0 4.863 * [taylor]: Taking taylor expansion of (log PI) in n 4.863 * [taylor]: Taking taylor expansion of PI in n 4.863 * [backup-simplify]: Simplify PI into PI 4.863 * [backup-simplify]: Simplify (log PI) into (log PI) 4.864 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.865 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.866 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.866 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.867 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.868 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.875 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.875 * [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 4.875 * [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 4.876 * [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 4.876 * [taylor]: Taking taylor expansion of +nan.0 in n 4.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.876 * [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 4.876 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.876 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.876 * [taylor]: Taking taylor expansion of 0.5 in n 4.876 * [backup-simplify]: Simplify 0.5 into 0.5 4.876 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.876 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.876 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.876 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.876 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.876 * [taylor]: Taking taylor expansion of 1.0 in n 4.876 * [backup-simplify]: Simplify 1.0 into 1.0 4.876 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.876 * [taylor]: Taking taylor expansion of 2.0 in n 4.876 * [backup-simplify]: Simplify 2.0 into 2.0 4.877 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.877 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.878 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.878 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.878 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.878 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.878 * [taylor]: Taking taylor expansion of 1.0 in n 4.878 * [backup-simplify]: Simplify 1.0 into 1.0 4.878 * [taylor]: Taking taylor expansion of (log PI) in n 4.878 * [taylor]: Taking taylor expansion of PI in n 4.878 * [backup-simplify]: Simplify PI into PI 4.879 * [backup-simplify]: Simplify (log PI) into (log PI) 4.879 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.880 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.881 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.881 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.881 * [taylor]: Taking taylor expansion of 1.0 in n 4.881 * [backup-simplify]: Simplify 1.0 into 1.0 4.881 * [taylor]: Taking taylor expansion of (log n) in n 4.881 * [taylor]: Taking taylor expansion of n in n 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (log 1) into 0 4.881 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.881 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.881 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.882 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.883 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.883 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.885 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.886 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.886 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.886 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.886 * [taylor]: Taking taylor expansion of 2.0 in n 4.886 * [backup-simplify]: Simplify 2.0 into 2.0 4.886 * [taylor]: Taking taylor expansion of (* n PI) in n 4.886 * [taylor]: Taking taylor expansion of n in n 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [taylor]: Taking taylor expansion of PI in n 4.886 * [backup-simplify]: Simplify PI into PI 4.886 * [backup-simplify]: Simplify (* 0 PI) into 0 4.886 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.888 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.889 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.889 * [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 4.889 * [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 4.889 * [taylor]: Taking taylor expansion of +nan.0 in n 4.889 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.889 * [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 4.889 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.889 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.889 * [taylor]: Taking taylor expansion of 0.5 in n 4.889 * [backup-simplify]: Simplify 0.5 into 0.5 4.889 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.889 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.889 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.889 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.889 * [taylor]: Taking taylor expansion of 1.0 in n 4.889 * [backup-simplify]: Simplify 1.0 into 1.0 4.889 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.889 * [taylor]: Taking taylor expansion of 2.0 in n 4.889 * [backup-simplify]: Simplify 2.0 into 2.0 4.890 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.890 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.891 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.891 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.891 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.891 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.891 * [taylor]: Taking taylor expansion of 1.0 in n 4.891 * [backup-simplify]: Simplify 1.0 into 1.0 4.891 * [taylor]: Taking taylor expansion of (log PI) in n 4.891 * [taylor]: Taking taylor expansion of PI in n 4.891 * [backup-simplify]: Simplify PI into PI 4.892 * [backup-simplify]: Simplify (log PI) into (log PI) 4.892 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.893 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.893 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.893 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.893 * [taylor]: Taking taylor expansion of 1.0 in n 4.893 * [backup-simplify]: Simplify 1.0 into 1.0 4.893 * [taylor]: Taking taylor expansion of (log n) in n 4.893 * [taylor]: Taking taylor expansion of n in n 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (log 1) into 0 4.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.894 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.894 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.894 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.895 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.896 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.897 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.898 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.898 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.898 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.898 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.898 * [taylor]: Taking taylor expansion of 2.0 in n 4.898 * [backup-simplify]: Simplify 2.0 into 2.0 4.898 * [taylor]: Taking taylor expansion of (* n PI) in n 4.898 * [taylor]: Taking taylor expansion of n in n 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [taylor]: Taking taylor expansion of PI in n 4.898 * [backup-simplify]: Simplify PI into PI 4.898 * [backup-simplify]: Simplify (* 0 PI) into 0 4.899 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.901 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.902 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.903 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.905 * [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)) 4.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.910 * [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)) 4.912 * [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))) 4.914 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.918 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.920 * [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)) 4.923 * [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))) 4.926 * [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)))))))) 4.933 * [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)))))))))))) 4.942 * [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 (* (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)))))))))))) 4.952 * [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)))))))))))))) 4.965 * [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)))))))))))))) 4.976 * [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)))))))))))))) 5.002 * [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)))))))))))))))))))))) 5.003 * [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)))))) 5.003 * [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 5.003 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.003 * [taylor]: Taking taylor expansion of 1.0 in n 5.003 * [backup-simplify]: Simplify 1.0 into 1.0 5.003 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.003 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.003 * [taylor]: Taking taylor expansion of k in n 5.003 * [backup-simplify]: Simplify k into k 5.004 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.004 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.004 * [taylor]: Taking taylor expansion of 0.5 in n 5.004 * [backup-simplify]: Simplify 0.5 into 0.5 5.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.004 * [taylor]: Taking taylor expansion of 1.0 in n 5.004 * [backup-simplify]: Simplify 1.0 into 1.0 5.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.004 * [taylor]: Taking taylor expansion of k in n 5.004 * [backup-simplify]: Simplify k into k 5.004 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.004 * [taylor]: Taking taylor expansion of 2.0 in n 5.004 * [backup-simplify]: Simplify 2.0 into 2.0 5.004 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.004 * [taylor]: Taking taylor expansion of PI in n 5.004 * [backup-simplify]: Simplify PI into PI 5.004 * [taylor]: Taking taylor expansion of n in n 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (/ PI 1) into PI 5.006 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.007 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.007 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.007 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.007 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.009 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.010 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.011 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.011 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.011 * [taylor]: Taking taylor expansion of 1.0 in k 5.011 * [backup-simplify]: Simplify 1.0 into 1.0 5.011 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.011 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.011 * [taylor]: Taking taylor expansion of k in k 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (sqrt 0) into 0 5.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.013 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.014 * [taylor]: Taking taylor expansion of 0.5 in k 5.014 * [backup-simplify]: Simplify 0.5 into 0.5 5.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.014 * [taylor]: Taking taylor expansion of 1.0 in k 5.014 * [backup-simplify]: Simplify 1.0 into 1.0 5.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.014 * [taylor]: Taking taylor expansion of k in k 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (/ 1 1) into 1 5.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.014 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.014 * [taylor]: Taking taylor expansion of 2.0 in k 5.014 * [backup-simplify]: Simplify 2.0 into 2.0 5.014 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.014 * [taylor]: Taking taylor expansion of PI in k 5.014 * [backup-simplify]: Simplify PI into PI 5.015 * [taylor]: Taking taylor expansion of n in k 5.015 * [backup-simplify]: Simplify n into n 5.015 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.015 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.015 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.015 * [backup-simplify]: Simplify (- 1) into -1 5.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.016 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.017 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.017 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 5.017 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.017 * [taylor]: Taking taylor expansion of 1.0 in k 5.017 * [backup-simplify]: Simplify 1.0 into 1.0 5.017 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.017 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.017 * [taylor]: Taking taylor expansion of k in k 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (sqrt 0) into 0 5.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.019 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.019 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.019 * [taylor]: Taking taylor expansion of 0.5 in k 5.019 * [backup-simplify]: Simplify 0.5 into 0.5 5.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.019 * [taylor]: Taking taylor expansion of 1.0 in k 5.019 * [backup-simplify]: Simplify 1.0 into 1.0 5.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.019 * [taylor]: Taking taylor expansion of k in k 5.019 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.020 * [backup-simplify]: Simplify (/ 1 1) into 1 5.020 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.020 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.020 * [taylor]: Taking taylor expansion of 2.0 in k 5.020 * [backup-simplify]: Simplify 2.0 into 2.0 5.020 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.020 * [taylor]: Taking taylor expansion of PI in k 5.020 * [backup-simplify]: Simplify PI into PI 5.020 * [taylor]: Taking taylor expansion of n in k 5.020 * [backup-simplify]: Simplify n into n 5.020 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.020 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.020 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.021 * [backup-simplify]: Simplify (- 1) into -1 5.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.022 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.022 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.022 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 5.023 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 5.023 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.023 * [taylor]: Taking taylor expansion of 0 in n 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.024 * [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))))))) 5.025 * [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))))))) 5.025 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.025 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.025 * [taylor]: Taking taylor expansion of +nan.0 in n 5.025 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.025 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.025 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.025 * [taylor]: Taking taylor expansion of 0.5 in n 5.025 * [backup-simplify]: Simplify 0.5 into 0.5 5.025 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.025 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.025 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.025 * [taylor]: Taking taylor expansion of 2.0 in n 5.025 * [backup-simplify]: Simplify 2.0 into 2.0 5.025 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.025 * [taylor]: Taking taylor expansion of PI in n 5.025 * [backup-simplify]: Simplify PI into PI 5.025 * [taylor]: Taking taylor expansion of n in n 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (/ PI 1) into PI 5.026 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.028 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.028 * [taylor]: Taking taylor expansion of 1.0 in n 5.028 * [backup-simplify]: Simplify 1.0 into 1.0 5.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.028 * [taylor]: Taking taylor expansion of k in n 5.028 * [backup-simplify]: Simplify k into k 5.028 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.030 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.031 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.032 * [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)))) 5.034 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.035 * [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)))))) 5.037 * [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))))))) 5.038 * [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))))))) 5.038 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.043 * [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))))))) 5.044 * [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))))))) 5.044 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.044 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.044 * [taylor]: Taking taylor expansion of +nan.0 in n 5.044 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.044 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.044 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.044 * [taylor]: Taking taylor expansion of 0.5 in n 5.044 * [backup-simplify]: Simplify 0.5 into 0.5 5.044 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.044 * [taylor]: Taking taylor expansion of 2.0 in n 5.044 * [backup-simplify]: Simplify 2.0 into 2.0 5.045 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.045 * [taylor]: Taking taylor expansion of PI in n 5.045 * [backup-simplify]: Simplify PI into PI 5.045 * [taylor]: Taking taylor expansion of n in n 5.045 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify (/ PI 1) into PI 5.046 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.047 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.047 * [taylor]: Taking taylor expansion of 1.0 in n 5.047 * [backup-simplify]: Simplify 1.0 into 1.0 5.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.047 * [taylor]: Taking taylor expansion of k in n 5.047 * [backup-simplify]: Simplify k into k 5.047 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.049 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.049 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.050 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.052 * [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)))) 5.053 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.054 * [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)))))) 5.054 * [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))))))) 5.055 * [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))))))) 5.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.057 * [backup-simplify]: Simplify (- 0) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.060 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 5.062 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.063 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 5.063 * [backup-simplify]: Simplify (- 0) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.067 * [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))))))) 5.068 * [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))))))) 5.068 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.068 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.068 * [taylor]: Taking taylor expansion of +nan.0 in n 5.068 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.068 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.068 * [taylor]: Taking taylor expansion of 0.5 in n 5.068 * [backup-simplify]: Simplify 0.5 into 0.5 5.068 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.068 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.068 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.068 * [taylor]: Taking taylor expansion of 2.0 in n 5.068 * [backup-simplify]: Simplify 2.0 into 2.0 5.068 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.068 * [taylor]: Taking taylor expansion of PI in n 5.068 * [backup-simplify]: Simplify PI into PI 5.068 * [taylor]: Taking taylor expansion of n in n 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (/ PI 1) into PI 5.069 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.070 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.070 * [taylor]: Taking taylor expansion of 1.0 in n 5.070 * [backup-simplify]: Simplify 1.0 into 1.0 5.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.070 * [taylor]: Taking taylor expansion of k in n 5.070 * [backup-simplify]: Simplify k into k 5.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.071 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.071 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.072 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.072 * [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)))) 5.073 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.074 * [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)))))) 5.075 * [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))))))) 5.075 * [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))))))) 5.079 * [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)))))))) 5.079 * [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)))) 5.079 * [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 5.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.079 * [taylor]: Taking taylor expansion of 1.0 in n 5.079 * [backup-simplify]: Simplify 1.0 into 1.0 5.079 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.079 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.079 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.079 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.079 * [taylor]: Taking taylor expansion of 0.5 in n 5.079 * [backup-simplify]: Simplify 0.5 into 0.5 5.079 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.079 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.079 * [taylor]: Taking taylor expansion of k in n 5.079 * [backup-simplify]: Simplify k into k 5.080 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.080 * [taylor]: Taking taylor expansion of 1.0 in n 5.080 * [backup-simplify]: Simplify 1.0 into 1.0 5.080 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.080 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.080 * [taylor]: Taking taylor expansion of -2.0 in n 5.080 * [backup-simplify]: Simplify -2.0 into -2.0 5.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.080 * [taylor]: Taking taylor expansion of PI in n 5.080 * [backup-simplify]: Simplify PI into PI 5.080 * [taylor]: Taking taylor expansion of n in n 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (/ PI 1) into PI 5.080 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.081 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.082 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.082 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.084 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.086 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.086 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.086 * [taylor]: Taking taylor expansion of -1 in n 5.086 * [backup-simplify]: Simplify -1 into -1 5.086 * [taylor]: Taking taylor expansion of k in n 5.086 * [backup-simplify]: Simplify k into k 5.086 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.086 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.086 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.088 * [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))) 5.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.088 * [taylor]: Taking taylor expansion of 1.0 in k 5.088 * [backup-simplify]: Simplify 1.0 into 1.0 5.088 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.088 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.088 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.088 * [taylor]: Taking taylor expansion of 0.5 in k 5.088 * [backup-simplify]: Simplify 0.5 into 0.5 5.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.088 * [taylor]: Taking taylor expansion of k in k 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (/ 1 1) into 1 5.089 * [taylor]: Taking taylor expansion of 1.0 in k 5.089 * [backup-simplify]: Simplify 1.0 into 1.0 5.089 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.089 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.089 * [taylor]: Taking taylor expansion of -2.0 in k 5.089 * [backup-simplify]: Simplify -2.0 into -2.0 5.089 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.089 * [taylor]: Taking taylor expansion of PI in k 5.089 * [backup-simplify]: Simplify PI into PI 5.089 * [taylor]: Taking taylor expansion of n in k 5.089 * [backup-simplify]: Simplify n into n 5.089 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.089 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.089 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.090 * [backup-simplify]: Simplify (+ 1 0) into 1 5.090 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.090 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.091 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.091 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.091 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.091 * [taylor]: Taking taylor expansion of -1 in k 5.091 * [backup-simplify]: Simplify -1 into -1 5.091 * [taylor]: Taking taylor expansion of k in k 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (/ -1 1) into -1 5.092 * [backup-simplify]: Simplify (sqrt 0) into 0 5.093 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.094 * [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))))))) 5.094 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.094 * [taylor]: Taking taylor expansion of 1.0 in k 5.094 * [backup-simplify]: Simplify 1.0 into 1.0 5.094 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.094 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.094 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.094 * [taylor]: Taking taylor expansion of 0.5 in k 5.094 * [backup-simplify]: Simplify 0.5 into 0.5 5.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.094 * [taylor]: Taking taylor expansion of k in k 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (/ 1 1) into 1 5.095 * [taylor]: Taking taylor expansion of 1.0 in k 5.095 * [backup-simplify]: Simplify 1.0 into 1.0 5.095 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.095 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.095 * [taylor]: Taking taylor expansion of -2.0 in k 5.095 * [backup-simplify]: Simplify -2.0 into -2.0 5.095 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.095 * [taylor]: Taking taylor expansion of PI in k 5.095 * [backup-simplify]: Simplify PI into PI 5.095 * [taylor]: Taking taylor expansion of n in k 5.095 * [backup-simplify]: Simplify n into n 5.095 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.095 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.095 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.096 * [backup-simplify]: Simplify (+ 1 0) into 1 5.096 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.096 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.097 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.097 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.097 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.097 * [taylor]: Taking taylor expansion of -1 in k 5.097 * [backup-simplify]: Simplify -1 into -1 5.097 * [taylor]: Taking taylor expansion of k in k 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify (/ -1 1) into -1 5.098 * [backup-simplify]: Simplify (sqrt 0) into 0 5.099 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.099 * [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))))))) 5.100 * [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))))))) 5.100 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.100 * [taylor]: Taking taylor expansion of +nan.0 in n 5.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.100 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.100 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.100 * [taylor]: Taking taylor expansion of 0.5 in n 5.100 * [backup-simplify]: Simplify 0.5 into 0.5 5.100 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.100 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.100 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.100 * [taylor]: Taking taylor expansion of k in n 5.100 * [backup-simplify]: Simplify k into k 5.100 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.100 * [taylor]: Taking taylor expansion of 1.0 in n 5.100 * [backup-simplify]: Simplify 1.0 into 1.0 5.100 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.100 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.100 * [taylor]: Taking taylor expansion of -2.0 in n 5.100 * [backup-simplify]: Simplify -2.0 into -2.0 5.100 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.101 * [taylor]: Taking taylor expansion of PI in n 5.101 * [backup-simplify]: Simplify PI into PI 5.101 * [taylor]: Taking taylor expansion of n in n 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [backup-simplify]: Simplify (/ PI 1) into PI 5.102 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.103 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.103 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.106 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.107 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.108 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.110 * [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)))))) 5.111 * [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)))))) 5.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.116 * [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)))))))) 5.117 * [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)))))))) 5.117 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.117 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.118 * [taylor]: Taking taylor expansion of +nan.0 in n 5.118 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.118 * [taylor]: Taking taylor expansion of 0.5 in n 5.118 * [backup-simplify]: Simplify 0.5 into 0.5 5.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.118 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.118 * [taylor]: Taking taylor expansion of k in n 5.118 * [backup-simplify]: Simplify k into k 5.118 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.118 * [taylor]: Taking taylor expansion of 1.0 in n 5.118 * [backup-simplify]: Simplify 1.0 into 1.0 5.118 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.118 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.118 * [taylor]: Taking taylor expansion of -2.0 in n 5.118 * [backup-simplify]: Simplify -2.0 into -2.0 5.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.118 * [taylor]: Taking taylor expansion of PI in n 5.118 * [backup-simplify]: Simplify PI into PI 5.118 * [taylor]: Taking taylor expansion of n in n 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (/ PI 1) into PI 5.119 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.126 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.126 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.127 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.129 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.130 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.131 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.133 * [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)))))) 5.134 * [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))))))) 5.135 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.143 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.145 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 5.147 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.149 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.156 * [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)))))))) 5.158 * [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)))))))) 5.158 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.158 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.158 * [taylor]: Taking taylor expansion of +nan.0 in n 5.158 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.158 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.158 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.158 * [taylor]: Taking taylor expansion of 0.5 in n 5.158 * [backup-simplify]: Simplify 0.5 into 0.5 5.158 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.158 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.158 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.158 * [taylor]: Taking taylor expansion of k in n 5.158 * [backup-simplify]: Simplify k into k 5.158 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.158 * [taylor]: Taking taylor expansion of 1.0 in n 5.158 * [backup-simplify]: Simplify 1.0 into 1.0 5.158 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.158 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.158 * [taylor]: Taking taylor expansion of -2.0 in n 5.158 * [backup-simplify]: Simplify -2.0 into -2.0 5.158 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.158 * [taylor]: Taking taylor expansion of PI in n 5.158 * [backup-simplify]: Simplify PI into PI 5.158 * [taylor]: Taking taylor expansion of n in n 5.158 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ PI 1) into PI 5.160 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.161 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.161 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.163 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.164 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.166 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.167 * [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)))))) 5.168 * [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))))))) 5.169 * [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))))))) 5.174 * [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)))))))))))) 5.175 * * * [progress]: simplifying candidates 5.179 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt 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) (* (* 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 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.187 * * [simplify]: Extracting # 0 : cost 0 5.188 * * [simplify]: Extracting # 1 : cost 0 5.189 * * [simplify]: Extracting # 2 : cost 0 5.189 * * [simplify]: Extracting # 3 : cost 0 5.190 * * [simplify]: Extracting # 4 : cost 0 5.191 * * [simplify]: Extracting # 5 : cost 0 5.192 * * [simplify]: Extracting # 6 : cost 0 5.192 * * [simplify]: Extracting # 7 : cost 0 5.193 * * [simplify]: Extracting # 8 : cost 0 5.194 * * [simplify]: Extracting # 9 : cost 0 5.195 * * [simplify]: Extracting # 10 : cost 0 5.196 * * [simplify]: Extracting # 11 : cost 0 5.197 * * [simplify]: Extracting # 12 : cost 0 5.198 * * [simplify]: Extracting # 13 : cost 0 5.199 * * [simplify]: Extracting # 14 : cost 0 5.200 * * [simplify]: Extracting # 15 : cost 0 5.201 * * [simplify]: Extracting # 16 : cost 0 5.202 * * [simplify]: Extracting # 17 : cost 0 5.203 * * [simplify]: Extracting # 18 : cost 0 5.204 * * [simplify]: Extracting # 19 : cost 0 5.205 * * [simplify]: Extracting # 20 : cost 0 5.206 * * [simplify]: Extracting # 21 : cost 0 5.207 * * [simplify]: Extracting # 22 : cost 0 5.208 * * [simplify]: Extracting # 23 : cost 0 5.209 * * [simplify]: Extracting # 24 : cost 0 5.210 * * [simplify]: Extracting # 25 : cost 0 5.211 * * [simplify]: Extracting # 26 : cost 0 5.213 * * [simplify]: Extracting # 27 : cost 0 5.214 * * [simplify]: Extracting # 28 : cost 0 5.215 * * [simplify]: Extracting # 29 : cost 0 5.216 * * [simplify]: Extracting # 30 : cost 0 5.217 * * [simplify]: Extracting # 31 : cost 0 5.218 * * [simplify]: Extracting # 32 : cost 0 5.219 * * [simplify]: Extracting # 33 : cost 0 5.220 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 5.375 * * [simplify]: Extracting # 0 : cost 0 5.376 * * [simplify]: Extracting # 1 : cost 0 5.378 * * [simplify]: Extracting # 2 : cost 0 5.379 * * [simplify]: Extracting # 3 : cost 0 5.380 * * [simplify]: Extracting # 4 : cost 0 5.381 * * [simplify]: Extracting # 5 : cost 0 5.383 * * [simplify]: Extracting # 6 : cost 0 5.384 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.970 * * [simplify]: Extracting # 0 : cost 0 5.974 * * [simplify]: Extracting # 1 : cost 0 5.983 * * [simplify]: Extracting # 2 : cost 0 5.987 * * [simplify]: Extracting # 3 : cost 0 5.991 * * [simplify]: Extracting # 4 : cost 0 5.996 * * [simplify]: Extracting # 5 : cost 0 6.004 * * [simplify]: iteration 2 : 3051 enodes (cost 2471 ) 7.241 * * [simplify]: Extracting # 0 : cost 0 7.254 * * [simplify]: Extracting # 1 : cost 0 7.264 * * [simplify]: Extracting # 2 : cost 0 7.270 * * [simplify]: Extracting # 3 : cost 0 7.277 * * [simplify]: Extracting # 4 : cost 0 7.283 * * [simplify]: iteration done: 5001 enodes (cost 2471 ) 7.285 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (/ (pow 1.0 3) k) (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) +nan.0)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (+ (- (* +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)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (- +nan.0) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k)))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 7.286 * * * [progress]: adding candidates to table 7.999 * * [progress]: iteration 2 / 4 7.999 * * * [progress]: picking best candidate 8.042 * * * * [pick]: Picked # 8.042 * * * [progress]: localizing error 8.064 * * * [progress]: generating rewritten candidates 8.064 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.107 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.124 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.161 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.244 * * * [progress]: generating series expansions 8.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.245 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 8.245 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.245 * [taylor]: Taking taylor expansion of 0.5 in k 8.245 * [backup-simplify]: Simplify 0.5 into 0.5 8.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.245 * [taylor]: Taking taylor expansion of 1.0 in k 8.245 * [backup-simplify]: Simplify 1.0 into 1.0 8.245 * [taylor]: Taking taylor expansion of k in k 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.245 * [taylor]: Taking taylor expansion of 2.0 in k 8.245 * [backup-simplify]: Simplify 2.0 into 2.0 8.245 * [taylor]: Taking taylor expansion of (* n PI) in k 8.245 * [taylor]: Taking taylor expansion of n in k 8.245 * [backup-simplify]: Simplify n into n 8.245 * [taylor]: Taking taylor expansion of PI in k 8.245 * [backup-simplify]: Simplify PI into PI 8.245 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.245 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.246 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.246 * [backup-simplify]: Simplify (- 0) into 0 8.246 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.247 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.247 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.247 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.247 * [taylor]: Taking taylor expansion of 0.5 in n 8.247 * [backup-simplify]: Simplify 0.5 into 0.5 8.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.247 * [taylor]: Taking taylor expansion of 1.0 in n 8.247 * [backup-simplify]: Simplify 1.0 into 1.0 8.247 * [taylor]: Taking taylor expansion of k in n 8.247 * [backup-simplify]: Simplify k into k 8.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.247 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.247 * [taylor]: Taking taylor expansion of 2.0 in n 8.247 * [backup-simplify]: Simplify 2.0 into 2.0 8.247 * [taylor]: Taking taylor expansion of (* n PI) in n 8.247 * [taylor]: Taking taylor expansion of n in n 8.247 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify 1 into 1 8.247 * [taylor]: Taking taylor expansion of PI in n 8.247 * [backup-simplify]: Simplify PI into PI 8.248 * [backup-simplify]: Simplify (* 0 PI) into 0 8.248 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.249 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.250 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.250 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.251 * [backup-simplify]: Simplify (- k) into (- k) 8.251 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.251 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.252 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.252 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.253 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.253 * [taylor]: Taking taylor expansion of 0.5 in n 8.253 * [backup-simplify]: Simplify 0.5 into 0.5 8.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.253 * [taylor]: Taking taylor expansion of 1.0 in n 8.253 * [backup-simplify]: Simplify 1.0 into 1.0 8.253 * [taylor]: Taking taylor expansion of k in n 8.253 * [backup-simplify]: Simplify k into k 8.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.253 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.253 * [taylor]: Taking taylor expansion of 2.0 in n 8.253 * [backup-simplify]: Simplify 2.0 into 2.0 8.253 * [taylor]: Taking taylor expansion of (* n PI) in n 8.253 * [taylor]: Taking taylor expansion of n in n 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify 1 into 1 8.253 * [taylor]: Taking taylor expansion of PI in n 8.253 * [backup-simplify]: Simplify PI into PI 8.254 * [backup-simplify]: Simplify (* 0 PI) into 0 8.254 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.256 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.257 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.257 * [backup-simplify]: Simplify (- k) into (- k) 8.257 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.257 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.258 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.259 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.259 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.259 * [taylor]: Taking taylor expansion of 0.5 in k 8.260 * [backup-simplify]: Simplify 0.5 into 0.5 8.260 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.260 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.260 * [taylor]: Taking taylor expansion of 1.0 in k 8.260 * [backup-simplify]: Simplify 1.0 into 1.0 8.260 * [taylor]: Taking taylor expansion of k in k 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.260 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.260 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.260 * [taylor]: Taking taylor expansion of 2.0 in k 8.260 * [backup-simplify]: Simplify 2.0 into 2.0 8.260 * [taylor]: Taking taylor expansion of PI in k 8.260 * [backup-simplify]: Simplify PI into PI 8.260 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.261 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.261 * [taylor]: Taking taylor expansion of (log n) in k 8.261 * [taylor]: Taking taylor expansion of n in k 8.261 * [backup-simplify]: Simplify n into n 8.261 * [backup-simplify]: Simplify (log n) into (log n) 8.261 * [backup-simplify]: Simplify (- 0) into 0 8.261 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.262 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.263 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.263 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 8.264 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.265 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.267 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.270 * [backup-simplify]: Simplify (- 0) into 0 8.270 * [backup-simplify]: Simplify (+ 0 0) into 0 8.271 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.274 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.276 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.276 * [taylor]: Taking taylor expansion of 0 in k 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.280 * [backup-simplify]: Simplify (+ 0 0) into 0 8.280 * [backup-simplify]: Simplify (- 1) into -1 8.281 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.282 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.285 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 8.288 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.291 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.294 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.298 * [backup-simplify]: Simplify (- 0) into 0 8.299 * [backup-simplify]: Simplify (+ 0 0) into 0 8.300 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.301 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.303 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.306 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.306 * [taylor]: Taking taylor expansion of 0 in k 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.322 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.325 * [backup-simplify]: Simplify (+ 0 0) into 0 8.325 * [backup-simplify]: Simplify (- 0) into 0 8.325 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.334 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 8.339 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 8.345 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 8.346 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 8.346 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.346 * [taylor]: Taking taylor expansion of 0.5 in k 8.346 * [backup-simplify]: Simplify 0.5 into 0.5 8.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.346 * [taylor]: Taking taylor expansion of 1.0 in k 8.346 * [backup-simplify]: Simplify 1.0 into 1.0 8.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.346 * [taylor]: Taking taylor expansion of k in k 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 1 into 1 8.346 * [backup-simplify]: Simplify (/ 1 1) into 1 8.346 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.346 * [taylor]: Taking taylor expansion of 2.0 in k 8.346 * [backup-simplify]: Simplify 2.0 into 2.0 8.346 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.346 * [taylor]: Taking taylor expansion of PI in k 8.346 * [backup-simplify]: Simplify PI into PI 8.346 * [taylor]: Taking taylor expansion of n in k 8.346 * [backup-simplify]: Simplify n into n 8.347 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.347 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.347 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.347 * [backup-simplify]: Simplify (- 1) into -1 8.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.347 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.348 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 8.348 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 8.348 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.348 * [taylor]: Taking taylor expansion of 0.5 in n 8.348 * [backup-simplify]: Simplify 0.5 into 0.5 8.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.348 * [taylor]: Taking taylor expansion of 1.0 in n 8.348 * [backup-simplify]: Simplify 1.0 into 1.0 8.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.348 * [taylor]: Taking taylor expansion of k in n 8.348 * [backup-simplify]: Simplify k into k 8.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.348 * [taylor]: Taking taylor expansion of 2.0 in n 8.348 * [backup-simplify]: Simplify 2.0 into 2.0 8.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.348 * [taylor]: Taking taylor expansion of PI in n 8.348 * [backup-simplify]: Simplify PI into PI 8.348 * [taylor]: Taking taylor expansion of n in n 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.349 * [backup-simplify]: Simplify (/ PI 1) into PI 8.349 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.350 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.350 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.350 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.350 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.351 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.352 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.352 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.352 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.352 * [taylor]: Taking taylor expansion of 0.5 in n 8.352 * [backup-simplify]: Simplify 0.5 into 0.5 8.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.352 * [taylor]: Taking taylor expansion of 1.0 in n 8.352 * [backup-simplify]: Simplify 1.0 into 1.0 8.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.352 * [taylor]: Taking taylor expansion of k in n 8.352 * [backup-simplify]: Simplify k into k 8.353 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.353 * [taylor]: Taking taylor expansion of 2.0 in n 8.353 * [backup-simplify]: Simplify 2.0 into 2.0 8.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.353 * [taylor]: Taking taylor expansion of PI in n 8.353 * [backup-simplify]: Simplify PI into PI 8.353 * [taylor]: Taking taylor expansion of n in n 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify (/ PI 1) into PI 8.353 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.354 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.354 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.354 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.354 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.355 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.356 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 8.357 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.357 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.357 * [taylor]: Taking taylor expansion of 0.5 in k 8.357 * [backup-simplify]: Simplify 0.5 into 0.5 8.357 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.357 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.357 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.357 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.357 * [taylor]: Taking taylor expansion of 2.0 in k 8.357 * [backup-simplify]: Simplify 2.0 into 2.0 8.357 * [taylor]: Taking taylor expansion of PI in k 8.357 * [backup-simplify]: Simplify PI into PI 8.358 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.358 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.358 * [taylor]: Taking taylor expansion of (log n) in k 8.358 * [taylor]: Taking taylor expansion of n in k 8.358 * [backup-simplify]: Simplify n into n 8.358 * [backup-simplify]: Simplify (log n) into (log n) 8.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.358 * [taylor]: Taking taylor expansion of 1.0 in k 8.358 * [backup-simplify]: Simplify 1.0 into 1.0 8.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.358 * [taylor]: Taking taylor expansion of k in k 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 1 into 1 8.359 * [backup-simplify]: Simplify (/ 1 1) into 1 8.359 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.359 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.360 * [backup-simplify]: Simplify (- 1) into -1 8.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.361 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.361 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 8.362 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.363 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 8.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.365 * [backup-simplify]: Simplify (- 0) into 0 8.366 * [backup-simplify]: Simplify (+ 0 0) into 0 8.366 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.368 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.369 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.369 * [taylor]: Taking taylor expansion of 0 in k 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ 0 0) into 0 8.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.376 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.377 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.380 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.380 * [taylor]: Taking taylor expansion of 0 in k 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.389 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.390 * [backup-simplify]: Simplify (- 0) into 0 8.390 * [backup-simplify]: Simplify (+ 0 0) into 0 8.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.394 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.397 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.397 * [taylor]: Taking taylor expansion of 0 in k 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 8.399 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 8.399 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.399 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.399 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.399 * [taylor]: Taking taylor expansion of 0.5 in k 8.399 * [backup-simplify]: Simplify 0.5 into 0.5 8.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.399 * [taylor]: Taking taylor expansion of k in k 8.399 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify 1 into 1 8.400 * [backup-simplify]: Simplify (/ 1 1) into 1 8.400 * [taylor]: Taking taylor expansion of 1.0 in k 8.400 * [backup-simplify]: Simplify 1.0 into 1.0 8.400 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.400 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.400 * [taylor]: Taking taylor expansion of -2.0 in k 8.400 * [backup-simplify]: Simplify -2.0 into -2.0 8.400 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.400 * [taylor]: Taking taylor expansion of PI in k 8.400 * [backup-simplify]: Simplify PI into PI 8.400 * [taylor]: Taking taylor expansion of n in k 8.400 * [backup-simplify]: Simplify n into n 8.400 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.400 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.400 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.401 * [backup-simplify]: Simplify (+ 1 0) into 1 8.401 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.401 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 8.402 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 8.402 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.402 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.402 * [taylor]: Taking taylor expansion of 0.5 in n 8.402 * [backup-simplify]: Simplify 0.5 into 0.5 8.402 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.402 * [taylor]: Taking taylor expansion of k in n 8.402 * [backup-simplify]: Simplify k into k 8.402 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.402 * [taylor]: Taking taylor expansion of 1.0 in n 8.402 * [backup-simplify]: Simplify 1.0 into 1.0 8.402 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.402 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.402 * [taylor]: Taking taylor expansion of -2.0 in n 8.402 * [backup-simplify]: Simplify -2.0 into -2.0 8.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.402 * [taylor]: Taking taylor expansion of PI in n 8.402 * [backup-simplify]: Simplify PI into PI 8.402 * [taylor]: Taking taylor expansion of n in n 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 1 into 1 8.403 * [backup-simplify]: Simplify (/ PI 1) into PI 8.403 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.404 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.404 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.404 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.407 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.408 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.409 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.409 * [taylor]: Taking taylor expansion of 0.5 in n 8.409 * [backup-simplify]: Simplify 0.5 into 0.5 8.409 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.409 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.409 * [taylor]: Taking taylor expansion of k in n 8.409 * [backup-simplify]: Simplify k into k 8.409 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.409 * [taylor]: Taking taylor expansion of 1.0 in n 8.409 * [backup-simplify]: Simplify 1.0 into 1.0 8.409 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.409 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.409 * [taylor]: Taking taylor expansion of -2.0 in n 8.409 * [backup-simplify]: Simplify -2.0 into -2.0 8.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.409 * [taylor]: Taking taylor expansion of PI in n 8.409 * [backup-simplify]: Simplify PI into PI 8.409 * [taylor]: Taking taylor expansion of n in n 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 1 into 1 8.410 * [backup-simplify]: Simplify (/ PI 1) into PI 8.410 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.411 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.411 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.411 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.414 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 8.415 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.415 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.415 * [taylor]: Taking taylor expansion of 0.5 in k 8.415 * [backup-simplify]: Simplify 0.5 into 0.5 8.415 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.415 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.415 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.415 * [taylor]: Taking taylor expansion of k in k 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 1 into 1 8.416 * [backup-simplify]: Simplify (/ 1 1) into 1 8.416 * [taylor]: Taking taylor expansion of 1.0 in k 8.416 * [backup-simplify]: Simplify 1.0 into 1.0 8.416 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.416 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.416 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.416 * [taylor]: Taking taylor expansion of -2.0 in k 8.416 * [backup-simplify]: Simplify -2.0 into -2.0 8.416 * [taylor]: Taking taylor expansion of PI in k 8.416 * [backup-simplify]: Simplify PI into PI 8.417 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.418 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.418 * [taylor]: Taking taylor expansion of (log n) in k 8.418 * [taylor]: Taking taylor expansion of n in k 8.418 * [backup-simplify]: Simplify n into n 8.418 * [backup-simplify]: Simplify (log n) into (log n) 8.418 * [backup-simplify]: Simplify (+ 1 0) into 1 8.418 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.419 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.420 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 8.421 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 8.423 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.424 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 8.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.431 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.433 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.433 * [taylor]: Taking taylor expansion of 0 in k 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.439 * [backup-simplify]: Simplify (+ 0 0) into 0 8.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.442 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.444 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.453 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.453 * [taylor]: Taking taylor expansion of 0 in k 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.458 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.459 * [backup-simplify]: Simplify (+ 0 0) into 0 8.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.461 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.462 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.464 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.464 * [taylor]: Taking taylor expansion of 0 in k 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.465 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.465 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 8.465 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 8.465 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.465 * [taylor]: Taking taylor expansion of 1.0 in k 8.465 * [backup-simplify]: Simplify 1.0 into 1.0 8.465 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.465 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.465 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.465 * [taylor]: Taking taylor expansion of 1/4 in k 8.465 * [backup-simplify]: Simplify 1/4 into 1/4 8.465 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.465 * [taylor]: Taking taylor expansion of k in k 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.465 * [backup-simplify]: Simplify (/ 1 1) into 1 8.466 * [backup-simplify]: Simplify (log 1) into 0 8.466 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.466 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 8.466 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 8.466 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.466 * [taylor]: Taking taylor expansion of 1.0 in k 8.466 * [backup-simplify]: Simplify 1.0 into 1.0 8.466 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.466 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.466 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.466 * [taylor]: Taking taylor expansion of 1/4 in k 8.466 * [backup-simplify]: Simplify 1/4 into 1/4 8.466 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.466 * [taylor]: Taking taylor expansion of k in k 8.466 * [backup-simplify]: Simplify 0 into 0 8.466 * [backup-simplify]: Simplify 1 into 1 8.467 * [backup-simplify]: Simplify (/ 1 1) into 1 8.467 * [backup-simplify]: Simplify (log 1) into 0 8.467 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.467 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 8.467 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 8.467 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.468 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.469 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.470 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 8.470 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 8.471 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.473 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 8.475 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.475 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 8.475 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.481 * [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 8.482 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 8.485 * [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 8.487 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 8.487 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.500 * [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 8.501 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.502 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 8.505 * [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 8.508 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 8.508 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.522 * [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 8.522 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.524 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 8.526 * [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 8.527 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 8.527 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.544 * [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 8.545 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 8.554 * [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 8.557 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.557 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 8.557 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 8.557 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.557 * [taylor]: Taking taylor expansion of 1.0 in k 8.558 * [backup-simplify]: Simplify 1.0 into 1.0 8.558 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.558 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.558 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.558 * [taylor]: Taking taylor expansion of 1/4 in k 8.558 * [backup-simplify]: Simplify 1/4 into 1/4 8.558 * [taylor]: Taking taylor expansion of (log k) in k 8.558 * [taylor]: Taking taylor expansion of k in k 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.558 * [backup-simplify]: Simplify (log 1) into 0 8.559 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.559 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 8.559 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 8.559 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.559 * [taylor]: Taking taylor expansion of 1.0 in k 8.559 * [backup-simplify]: Simplify 1.0 into 1.0 8.559 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.559 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.559 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.559 * [taylor]: Taking taylor expansion of 1/4 in k 8.559 * [backup-simplify]: Simplify 1/4 into 1/4 8.559 * [taylor]: Taking taylor expansion of (log k) in k 8.559 * [taylor]: Taking taylor expansion of k in k 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (log 1) into 0 8.560 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.560 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 8.560 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 8.561 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 8.561 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 8.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.563 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 8.564 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 8.565 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.569 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 8.579 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.580 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 8.580 * [backup-simplify]: Simplify 0 into 0 8.585 * [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 8.586 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.587 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 8.589 * [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 8.590 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 8.590 * [backup-simplify]: Simplify 0 into 0 8.599 * [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 8.600 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 8.602 * [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 8.603 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.613 * [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 8.614 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 8.617 * [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 8.619 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.647 * [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 8.648 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.650 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 8.656 * [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 8.660 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 8.660 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.660 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 8.660 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 8.660 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.660 * [taylor]: Taking taylor expansion of 1.0 in k 8.660 * [backup-simplify]: Simplify 1.0 into 1.0 8.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.661 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.661 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.661 * [taylor]: Taking taylor expansion of -1 in k 8.661 * [backup-simplify]: Simplify -1 into -1 8.661 * [taylor]: Taking taylor expansion of k in k 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [backup-simplify]: Simplify (/ -1 1) into -1 8.662 * [backup-simplify]: Simplify (sqrt 0) into 0 8.663 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.664 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.664 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 8.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.668 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.670 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.671 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 8.671 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.671 * [taylor]: Taking taylor expansion of 1.0 in k 8.671 * [backup-simplify]: Simplify 1.0 into 1.0 8.671 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.671 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.671 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.671 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.671 * [taylor]: Taking taylor expansion of -1 in k 8.671 * [backup-simplify]: Simplify -1 into -1 8.671 * [taylor]: Taking taylor expansion of k in k 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [backup-simplify]: Simplify (/ -1 1) into -1 8.672 * [backup-simplify]: Simplify (sqrt 0) into 0 8.672 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.673 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.673 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 8.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.677 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.678 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 8.679 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 8.679 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 8.681 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 8.682 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 8.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.688 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.691 * [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))) 8.708 * [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)))))) 8.714 * [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)))))) 8.721 * [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))))))))) 8.721 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.721 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 8.721 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.721 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.721 * [taylor]: Taking taylor expansion of 1.0 in k 8.722 * [backup-simplify]: Simplify 1.0 into 1.0 8.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.722 * [taylor]: Taking taylor expansion of k in k 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [backup-simplify]: Simplify (/ 1 1) into 1 8.722 * [backup-simplify]: Simplify (sqrt 0) into 0 8.723 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.723 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.723 * [taylor]: Taking taylor expansion of 1.0 in k 8.723 * [backup-simplify]: Simplify 1.0 into 1.0 8.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.723 * [taylor]: Taking taylor expansion of k in k 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [backup-simplify]: Simplify (/ 1 1) into 1 8.724 * [backup-simplify]: Simplify (sqrt 0) into 0 8.725 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.725 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.725 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.727 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.730 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.732 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.732 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.739 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.739 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.741 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.741 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 8.741 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.741 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.741 * [taylor]: Taking taylor expansion of 1.0 in k 8.741 * [backup-simplify]: Simplify 1.0 into 1.0 8.741 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.741 * [taylor]: Taking taylor expansion of k in k 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify (sqrt 0) into 0 8.743 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.743 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.743 * [taylor]: Taking taylor expansion of 1.0 in k 8.743 * [backup-simplify]: Simplify 1.0 into 1.0 8.743 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.743 * [taylor]: Taking taylor expansion of k in k 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [backup-simplify]: Simplify (sqrt 0) into 0 8.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.745 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.745 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.747 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.751 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.752 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.758 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.758 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.760 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.760 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 8.760 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.760 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.760 * [taylor]: Taking taylor expansion of 1.0 in k 8.760 * [backup-simplify]: Simplify 1.0 into 1.0 8.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.760 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.760 * [taylor]: Taking taylor expansion of -1 in k 8.760 * [backup-simplify]: Simplify -1 into -1 8.760 * [taylor]: Taking taylor expansion of k in k 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.761 * [backup-simplify]: Simplify (/ -1 1) into -1 8.761 * [backup-simplify]: Simplify (sqrt 0) into 0 8.762 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.763 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.763 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.763 * [taylor]: Taking taylor expansion of 1.0 in k 8.763 * [backup-simplify]: Simplify 1.0 into 1.0 8.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.763 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.763 * [taylor]: Taking taylor expansion of -1 in k 8.763 * [backup-simplify]: Simplify -1 into -1 8.763 * [taylor]: Taking taylor expansion of k in k 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 1 into 1 8.764 * [backup-simplify]: Simplify (/ -1 1) into -1 8.764 * [backup-simplify]: Simplify (sqrt 0) into 0 8.765 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.766 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.766 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.771 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.772 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.780 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.781 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.782 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.782 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.782 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.782 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.782 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.783 * [taylor]: Taking taylor expansion of 2.0 in n 8.783 * [backup-simplify]: Simplify 2.0 into 2.0 8.783 * [taylor]: Taking taylor expansion of (* n PI) in n 8.783 * [taylor]: Taking taylor expansion of n in n 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.783 * [taylor]: Taking taylor expansion of PI in n 8.783 * [backup-simplify]: Simplify PI into PI 8.783 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.783 * [taylor]: Taking taylor expansion of 2.0 in n 8.783 * [backup-simplify]: Simplify 2.0 into 2.0 8.783 * [taylor]: Taking taylor expansion of (* n PI) in n 8.783 * [taylor]: Taking taylor expansion of n in n 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.783 * [taylor]: Taking taylor expansion of PI in n 8.783 * [backup-simplify]: Simplify PI into PI 8.783 * [backup-simplify]: Simplify (* 0 PI) into 0 8.784 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.784 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.787 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.787 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.789 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.791 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.794 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.794 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.796 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.800 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.800 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.802 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.802 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.803 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.803 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.803 * [taylor]: Taking taylor expansion of 2.0 in n 8.803 * [backup-simplify]: Simplify 2.0 into 2.0 8.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.803 * [taylor]: Taking taylor expansion of PI in n 8.803 * [backup-simplify]: Simplify PI into PI 8.803 * [taylor]: Taking taylor expansion of n in n 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify 1 into 1 8.803 * [backup-simplify]: Simplify (/ PI 1) into PI 8.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.803 * [taylor]: Taking taylor expansion of 2.0 in n 8.804 * [backup-simplify]: Simplify 2.0 into 2.0 8.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.804 * [taylor]: Taking taylor expansion of PI in n 8.804 * [backup-simplify]: Simplify PI into PI 8.804 * [taylor]: Taking taylor expansion of n in n 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.804 * [backup-simplify]: Simplify (/ PI 1) into PI 8.804 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.805 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.806 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.807 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.809 * [backup-simplify]: Simplify 0 into 0 8.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.810 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.810 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.812 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.814 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.815 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.815 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.815 * [taylor]: Taking taylor expansion of -2.0 in n 8.815 * [backup-simplify]: Simplify -2.0 into -2.0 8.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.815 * [taylor]: Taking taylor expansion of PI in n 8.815 * [backup-simplify]: Simplify PI into PI 8.815 * [taylor]: Taking taylor expansion of n in n 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [backup-simplify]: Simplify (/ PI 1) into PI 8.815 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.815 * [taylor]: Taking taylor expansion of -2.0 in n 8.815 * [backup-simplify]: Simplify -2.0 into -2.0 8.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.815 * [taylor]: Taking taylor expansion of PI in n 8.815 * [backup-simplify]: Simplify PI into PI 8.815 * [taylor]: Taking taylor expansion of n in n 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [backup-simplify]: Simplify (/ PI 1) into PI 8.816 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.822 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.823 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.823 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.824 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.826 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.827 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.829 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.829 * [backup-simplify]: Simplify 0 into 0 8.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.832 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.832 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.833 * * * [progress]: simplifying candidates 8.846 * [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 (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) 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(* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (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)))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.871 * * [simplify]: Extracting # 0 : cost 0 8.872 * * [simplify]: Extracting # 1 : cost 0 8.873 * * [simplify]: Extracting # 2 : cost 0 8.874 * * [simplify]: Extracting # 3 : cost 0 8.875 * * [simplify]: Extracting # 4 : cost 0 8.876 * * [simplify]: Extracting # 5 : cost 0 8.878 * * [simplify]: Extracting # 6 : cost 0 8.879 * * [simplify]: Extracting # 7 : cost 0 8.880 * * [simplify]: Extracting # 8 : cost 0 8.881 * * [simplify]: Extracting # 9 : cost 0 8.882 * * [simplify]: Extracting # 10 : cost 0 8.883 * * [simplify]: Extracting # 11 : cost 0 8.884 * * [simplify]: Extracting # 12 : cost 0 8.886 * * [simplify]: Extracting # 13 : cost 0 8.887 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 9.252 * * [simplify]: Extracting # 0 : cost 0 9.255 * * [simplify]: Extracting # 1 : cost 0 9.257 * * [simplify]: Extracting # 2 : cost 0 9.259 * * [simplify]: Extracting # 3 : cost 0 9.261 * * [simplify]: Extracting # 4 : cost 0 9.263 * * [simplify]: Extracting # 5 : cost 0 9.265 * * [simplify]: Extracting # 6 : cost 0 9.267 * * [simplify]: iteration 1 : 1320 enodes (cost 7629 ) 9.936 * * [simplify]: Extracting # 0 : cost 0 9.944 * * [simplify]: Extracting # 1 : cost 0 9.958 * * [simplify]: Extracting # 2 : cost 0 9.965 * * [simplify]: Extracting # 3 : cost 0 9.972 * * [simplify]: Extracting # 4 : cost 0 9.979 * * [simplify]: iteration 2 : 3051 enodes (cost 7052 ) 10.972 * * [simplify]: Extracting # 0 : cost 0 10.979 * * [simplify]: Extracting # 1 : cost 0 10.985 * * [simplify]: Extracting # 2 : cost 0 10.991 * * [simplify]: Extracting # 3 : cost 0 11.005 * * [simplify]: Extracting # 4 : cost 0 11.012 * * [simplify]: iteration done: 5001 enodes (cost 6884 ) 11.016 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 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(sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (/ 1 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (/ 1 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (* (* n PI) 2.0) (* (* n PI) 2.0) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* n (* 2.0 PI)) 0.5)) (* (pow (log n) 2) (pow (* n (* 2.0 PI)) 0.5)))) (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (log n) (pow (* n (* 2.0 PI)) 0.5)))) (pow (* n (* 2.0 PI)) 0.5)) (* 0.5 (* k (+ (* (pow (* n (* 2.0 PI)) 0.5) (log (* 2.0 PI))) (* (log n) (pow (* n (* 2.0 PI)) 0.5)))))) (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (- (/ +nan.0 (* (sqrt +nan.0) (pow k 2))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (- (+ (- (/ (/ +nan.0 k) k) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) 11.020 * * * [progress]: adding candidates to table 12.250 * * [progress]: iteration 3 / 4 12.250 * * * [progress]: picking best candidate 12.280 * * * * [pick]: Picked # 12.280 * * * [progress]: localizing error 12.314 * * * [progress]: generating rewritten candidates 12.314 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 12.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 12.371 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 12.459 * * * [progress]: generating series expansions 12.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.460 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 12.460 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 12.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 12.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 12.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 12.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.461 * [taylor]: Taking taylor expansion of 0.5 in k 12.461 * [backup-simplify]: Simplify 0.5 into 0.5 12.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.461 * [taylor]: Taking taylor expansion of 1.0 in k 12.461 * [backup-simplify]: Simplify 1.0 into 1.0 12.461 * [taylor]: Taking taylor expansion of k in k 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 12.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 12.461 * [taylor]: Taking taylor expansion of 2.0 in k 12.461 * [backup-simplify]: Simplify 2.0 into 2.0 12.461 * [taylor]: Taking taylor expansion of (* n PI) in k 12.461 * [taylor]: Taking taylor expansion of n in k 12.461 * [backup-simplify]: Simplify n into n 12.461 * [taylor]: Taking taylor expansion of PI in k 12.461 * [backup-simplify]: Simplify PI into PI 12.461 * [backup-simplify]: Simplify (* n PI) into (* n PI) 12.461 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 12.461 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 12.462 * [backup-simplify]: Simplify (- 0) into 0 12.462 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.462 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.462 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 12.462 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 12.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.463 * [taylor]: Taking taylor expansion of 0.5 in n 12.463 * [backup-simplify]: Simplify 0.5 into 0.5 12.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.463 * [taylor]: Taking taylor expansion of 1.0 in n 12.463 * [backup-simplify]: Simplify 1.0 into 1.0 12.463 * [taylor]: Taking taylor expansion of k in n 12.463 * [backup-simplify]: Simplify k into k 12.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.463 * [taylor]: Taking taylor expansion of 2.0 in n 12.463 * [backup-simplify]: Simplify 2.0 into 2.0 12.463 * [taylor]: Taking taylor expansion of (* n PI) in n 12.463 * [taylor]: Taking taylor expansion of n in n 12.463 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify 1 into 1 12.463 * [taylor]: Taking taylor expansion of PI in n 12.463 * [backup-simplify]: Simplify PI into PI 12.463 * [backup-simplify]: Simplify (* 0 PI) into 0 12.463 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.465 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.466 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.466 * [backup-simplify]: Simplify (- k) into (- k) 12.466 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.466 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.467 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.468 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.469 * [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))))) 12.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.469 * [taylor]: Taking taylor expansion of 0.5 in n 12.469 * [backup-simplify]: Simplify 0.5 into 0.5 12.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.469 * [taylor]: Taking taylor expansion of 1.0 in n 12.469 * [backup-simplify]: Simplify 1.0 into 1.0 12.469 * [taylor]: Taking taylor expansion of k in n 12.469 * [backup-simplify]: Simplify k into k 12.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.470 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.470 * [taylor]: Taking taylor expansion of 2.0 in n 12.470 * [backup-simplify]: Simplify 2.0 into 2.0 12.470 * [taylor]: Taking taylor expansion of (* n PI) in n 12.470 * [taylor]: Taking taylor expansion of n in n 12.470 * [backup-simplify]: Simplify 0 into 0 12.470 * [backup-simplify]: Simplify 1 into 1 12.470 * [taylor]: Taking taylor expansion of PI in n 12.470 * [backup-simplify]: Simplify PI into PI 12.470 * [backup-simplify]: Simplify (* 0 PI) into 0 12.471 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.472 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.474 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.475 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.475 * [backup-simplify]: Simplify (- k) into (- k) 12.475 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.475 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.477 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.479 * [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)))) 12.480 * [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))))) 12.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 12.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 12.480 * [taylor]: Taking taylor expansion of 0.5 in k 12.480 * [backup-simplify]: Simplify 0.5 into 0.5 12.480 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 12.480 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.480 * [taylor]: Taking taylor expansion of 1.0 in k 12.480 * [backup-simplify]: Simplify 1.0 into 1.0 12.480 * [taylor]: Taking taylor expansion of k in k 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 1 into 1 12.480 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 12.480 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.480 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.481 * [taylor]: Taking taylor expansion of 2.0 in k 12.481 * [backup-simplify]: Simplify 2.0 into 2.0 12.481 * [taylor]: Taking taylor expansion of PI in k 12.481 * [backup-simplify]: Simplify PI into PI 12.481 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.482 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.482 * [taylor]: Taking taylor expansion of (log n) in k 12.482 * [taylor]: Taking taylor expansion of n in k 12.482 * [backup-simplify]: Simplify n into n 12.482 * [backup-simplify]: Simplify (log n) into (log n) 12.483 * [backup-simplify]: Simplify (- 0) into 0 12.483 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.484 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 12.486 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 12.487 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 12.488 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.489 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.492 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 12.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.494 * [backup-simplify]: Simplify (- 0) into 0 12.494 * [backup-simplify]: Simplify (+ 0 0) into 0 12.495 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.498 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 12.500 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.500 * [taylor]: Taking taylor expansion of 0 in k 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify 0 into 0 12.501 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.505 * [backup-simplify]: Simplify (+ 0 0) into 0 12.505 * [backup-simplify]: Simplify (- 1) into -1 12.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.507 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 12.509 * [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)))) 12.513 * [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)))))) 12.516 * [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)))))) 12.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.519 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.522 * [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 12.523 * [backup-simplify]: Simplify (- 0) into 0 12.523 * [backup-simplify]: Simplify (+ 0 0) into 0 12.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.526 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.527 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.530 * [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 12.530 * [taylor]: Taking taylor expansion of 0 in k 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.535 * [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 12.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.538 * [backup-simplify]: Simplify (+ 0 0) into 0 12.538 * [backup-simplify]: Simplify (- 0) into 0 12.538 * [backup-simplify]: Simplify (+ 0 0) into 0 12.540 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 12.547 * [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)))))) 12.553 * [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)))))) 12.564 * [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)))))) 12.565 * [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)))) 12.566 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.566 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 12.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 12.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.566 * [taylor]: Taking taylor expansion of 0.5 in k 12.566 * [backup-simplify]: Simplify 0.5 into 0.5 12.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.566 * [taylor]: Taking taylor expansion of 1.0 in k 12.566 * [backup-simplify]: Simplify 1.0 into 1.0 12.566 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.566 * [taylor]: Taking taylor expansion of k in k 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 1 into 1 12.566 * [backup-simplify]: Simplify (/ 1 1) into 1 12.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 12.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 12.567 * [taylor]: Taking taylor expansion of 2.0 in k 12.567 * [backup-simplify]: Simplify 2.0 into 2.0 12.567 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.567 * [taylor]: Taking taylor expansion of PI in k 12.567 * [backup-simplify]: Simplify PI into PI 12.567 * [taylor]: Taking taylor expansion of n in k 12.567 * [backup-simplify]: Simplify n into n 12.567 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.567 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 12.567 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 12.567 * [backup-simplify]: Simplify (- 1) into -1 12.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.569 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.569 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 12.569 * [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))))) 12.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.569 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.569 * [taylor]: Taking taylor expansion of 0.5 in n 12.569 * [backup-simplify]: Simplify 0.5 into 0.5 12.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.569 * [taylor]: Taking taylor expansion of 1.0 in n 12.569 * [backup-simplify]: Simplify 1.0 into 1.0 12.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.569 * [taylor]: Taking taylor expansion of k in n 12.569 * [backup-simplify]: Simplify k into k 12.569 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.570 * [taylor]: Taking taylor expansion of 2.0 in n 12.570 * [backup-simplify]: Simplify 2.0 into 2.0 12.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.570 * [taylor]: Taking taylor expansion of PI in n 12.570 * [backup-simplify]: Simplify PI into PI 12.570 * [taylor]: Taking taylor expansion of n in n 12.570 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify 1 into 1 12.570 * [backup-simplify]: Simplify (/ PI 1) into PI 12.571 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.572 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.572 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.572 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.572 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.575 * [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)))) 12.576 * [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))))) 12.576 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.576 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.576 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.577 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.577 * [taylor]: Taking taylor expansion of 0.5 in n 12.577 * [backup-simplify]: Simplify 0.5 into 0.5 12.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.577 * [taylor]: Taking taylor expansion of 1.0 in n 12.577 * [backup-simplify]: Simplify 1.0 into 1.0 12.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.577 * [taylor]: Taking taylor expansion of k in n 12.577 * [backup-simplify]: Simplify k into k 12.577 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.577 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.577 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.577 * [taylor]: Taking taylor expansion of 2.0 in n 12.577 * [backup-simplify]: Simplify 2.0 into 2.0 12.577 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.577 * [taylor]: Taking taylor expansion of PI in n 12.577 * [backup-simplify]: Simplify PI into PI 12.577 * [taylor]: Taking taylor expansion of n in n 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify 1 into 1 12.578 * [backup-simplify]: Simplify (/ PI 1) into PI 12.578 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.579 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.579 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.580 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.580 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.583 * [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)))) 12.584 * [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))))) 12.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 12.584 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 12.584 * [taylor]: Taking taylor expansion of 0.5 in k 12.584 * [backup-simplify]: Simplify 0.5 into 0.5 12.584 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 12.584 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 12.584 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.584 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.584 * [taylor]: Taking taylor expansion of 2.0 in k 12.584 * [backup-simplify]: Simplify 2.0 into 2.0 12.584 * [taylor]: Taking taylor expansion of PI in k 12.584 * [backup-simplify]: Simplify PI into PI 12.585 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.586 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.586 * [taylor]: Taking taylor expansion of (log n) in k 12.586 * [taylor]: Taking taylor expansion of n in k 12.586 * [backup-simplify]: Simplify n into n 12.586 * [backup-simplify]: Simplify (log n) into (log n) 12.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.586 * [taylor]: Taking taylor expansion of 1.0 in k 12.586 * [backup-simplify]: Simplify 1.0 into 1.0 12.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.586 * [taylor]: Taking taylor expansion of k in k 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.587 * [backup-simplify]: Simplify (/ 1 1) into 1 12.587 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.588 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 12.588 * [backup-simplify]: Simplify (- 1) into -1 12.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.590 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 12.591 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 12.602 * [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))))) 12.604 * [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))))) 12.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.606 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.608 * [backup-simplify]: Simplify (- 0) into 0 12.609 * [backup-simplify]: Simplify (+ 0 0) into 0 12.609 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.613 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 12.615 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.615 * [taylor]: Taking taylor expansion of 0 in k 12.615 * [backup-simplify]: Simplify 0 into 0 12.615 * [backup-simplify]: Simplify 0 into 0 12.615 * [backup-simplify]: Simplify 0 into 0 12.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.617 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.621 * [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 12.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.622 * [backup-simplify]: Simplify (- 0) into 0 12.622 * [backup-simplify]: Simplify (+ 0 0) into 0 12.623 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.625 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.627 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 12.629 * [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 12.629 * [taylor]: Taking taylor expansion of 0 in k 12.630 * [backup-simplify]: Simplify 0 into 0 12.630 * [backup-simplify]: Simplify 0 into 0 12.630 * [backup-simplify]: Simplify 0 into 0 12.630 * [backup-simplify]: Simplify 0 into 0 12.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.632 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.638 * [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 12.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.638 * [backup-simplify]: Simplify (- 0) into 0 12.639 * [backup-simplify]: Simplify (+ 0 0) into 0 12.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.642 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 12.644 * [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 12.644 * [taylor]: Taking taylor expansion of 0 in k 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [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)))) 12.645 * [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))) 12.645 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.645 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 12.645 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 12.645 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.645 * [taylor]: Taking taylor expansion of 0.5 in k 12.645 * [backup-simplify]: Simplify 0.5 into 0.5 12.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.645 * [taylor]: Taking taylor expansion of k in k 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.646 * [backup-simplify]: Simplify (/ 1 1) into 1 12.646 * [taylor]: Taking taylor expansion of 1.0 in k 12.646 * [backup-simplify]: Simplify 1.0 into 1.0 12.646 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 12.646 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 12.646 * [taylor]: Taking taylor expansion of -2.0 in k 12.646 * [backup-simplify]: Simplify -2.0 into -2.0 12.646 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.646 * [taylor]: Taking taylor expansion of PI in k 12.646 * [backup-simplify]: Simplify PI into PI 12.646 * [taylor]: Taking taylor expansion of n in k 12.646 * [backup-simplify]: Simplify n into n 12.646 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.646 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 12.646 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 12.646 * [backup-simplify]: Simplify (+ 1 0) into 1 12.647 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.647 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 12.647 * [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)))))) 12.647 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.647 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.647 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.647 * [taylor]: Taking taylor expansion of 0.5 in n 12.647 * [backup-simplify]: Simplify 0.5 into 0.5 12.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.647 * [taylor]: Taking taylor expansion of k in n 12.647 * [backup-simplify]: Simplify k into k 12.647 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.647 * [taylor]: Taking taylor expansion of 1.0 in n 12.647 * [backup-simplify]: Simplify 1.0 into 1.0 12.647 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.647 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.647 * [taylor]: Taking taylor expansion of -2.0 in n 12.647 * [backup-simplify]: Simplify -2.0 into -2.0 12.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.647 * [taylor]: Taking taylor expansion of PI in n 12.647 * [backup-simplify]: Simplify PI into PI 12.647 * [taylor]: Taking taylor expansion of n in n 12.647 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify 1 into 1 12.648 * [backup-simplify]: Simplify (/ PI 1) into PI 12.648 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.649 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.649 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.649 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.650 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.651 * [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)))) 12.652 * [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))))) 12.652 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.652 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.652 * [taylor]: Taking taylor expansion of 0.5 in n 12.652 * [backup-simplify]: Simplify 0.5 into 0.5 12.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.652 * [taylor]: Taking taylor expansion of k in n 12.652 * [backup-simplify]: Simplify k into k 12.652 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.652 * [taylor]: Taking taylor expansion of 1.0 in n 12.652 * [backup-simplify]: Simplify 1.0 into 1.0 12.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.652 * [taylor]: Taking taylor expansion of -2.0 in n 12.652 * [backup-simplify]: Simplify -2.0 into -2.0 12.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.652 * [taylor]: Taking taylor expansion of PI in n 12.652 * [backup-simplify]: Simplify PI into PI 12.652 * [taylor]: Taking taylor expansion of n in n 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify 1 into 1 12.652 * [backup-simplify]: Simplify (/ PI 1) into PI 12.653 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.653 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.653 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.653 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.654 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.655 * [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)))) 12.656 * [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))))) 12.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 12.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 12.656 * [taylor]: Taking taylor expansion of 0.5 in k 12.656 * [backup-simplify]: Simplify 0.5 into 0.5 12.656 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 12.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.656 * [taylor]: Taking taylor expansion of k in k 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 1 into 1 12.657 * [backup-simplify]: Simplify (/ 1 1) into 1 12.657 * [taylor]: Taking taylor expansion of 1.0 in k 12.657 * [backup-simplify]: Simplify 1.0 into 1.0 12.657 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 12.657 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 12.657 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 12.657 * [taylor]: Taking taylor expansion of -2.0 in k 12.657 * [backup-simplify]: Simplify -2.0 into -2.0 12.657 * [taylor]: Taking taylor expansion of PI in k 12.657 * [backup-simplify]: Simplify PI into PI 12.657 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.658 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.658 * [taylor]: Taking taylor expansion of (log n) in k 12.658 * [taylor]: Taking taylor expansion of n in k 12.658 * [backup-simplify]: Simplify n into n 12.658 * [backup-simplify]: Simplify (log n) into (log n) 12.658 * [backup-simplify]: Simplify (+ 1 0) into 1 12.658 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.659 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 12.660 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 12.661 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 12.661 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 12.662 * [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))))) 12.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.663 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 12.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 12.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.665 * [backup-simplify]: Simplify (+ 0 0) into 0 12.666 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.667 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.668 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 12.670 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.671 * [taylor]: Taking taylor expansion of 0 in k 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.673 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 12.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.676 * [backup-simplify]: Simplify (+ 0 0) into 0 12.676 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.677 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.678 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 12.680 * [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 12.680 * [taylor]: Taking taylor expansion of 0 in k 12.680 * [backup-simplify]: Simplify 0 into 0 12.680 * [backup-simplify]: Simplify 0 into 0 12.680 * [backup-simplify]: Simplify 0 into 0 12.680 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.681 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.685 * [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 12.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.685 * [backup-simplify]: Simplify (+ 0 0) into 0 12.686 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.688 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 12.690 * [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 12.690 * [taylor]: Taking taylor expansion of 0 in k 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify 0 into 0 12.691 * [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)))))) 12.691 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 12.691 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 12.691 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 12.691 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 12.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 12.691 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 12.691 * [taylor]: Taking taylor expansion of 1/3 in k 12.692 * [backup-simplify]: Simplify 1/3 into 1/3 12.692 * [taylor]: Taking taylor expansion of (log k) in k 12.692 * [taylor]: Taking taylor expansion of k in k 12.692 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify 1 into 1 12.692 * [backup-simplify]: Simplify (log 1) into 0 12.692 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.692 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 12.692 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 12.692 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 12.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 12.692 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 12.692 * [taylor]: Taking taylor expansion of 1/3 in k 12.692 * [backup-simplify]: Simplify 1/3 into 1/3 12.692 * [taylor]: Taking taylor expansion of (log k) in k 12.692 * [taylor]: Taking taylor expansion of k in k 12.692 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify 1 into 1 12.693 * [backup-simplify]: Simplify (log 1) into 0 12.693 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.693 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 12.693 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 12.693 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 12.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.694 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 12.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.695 * [backup-simplify]: Simplify 0 into 0 12.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.697 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.698 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 12.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.699 * [backup-simplify]: Simplify 0 into 0 12.702 * [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 12.702 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 12.704 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.704 * [backup-simplify]: Simplify 0 into 0 12.715 * [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 12.716 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 12.720 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.720 * [backup-simplify]: Simplify 0 into 0 12.743 * [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 12.744 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.745 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 12.747 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.747 * [backup-simplify]: Simplify 0 into 0 12.771 * [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 12.772 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.775 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 12.782 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.782 * [backup-simplify]: Simplify 0 into 0 12.782 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 12.782 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 12.783 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 12.783 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.783 * [taylor]: Taking taylor expansion of 1/3 in k 12.783 * [backup-simplify]: Simplify 1/3 into 1/3 12.783 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.783 * [taylor]: Taking taylor expansion of k in k 12.783 * [backup-simplify]: Simplify 0 into 0 12.783 * [backup-simplify]: Simplify 1 into 1 12.783 * [backup-simplify]: Simplify (/ 1 1) into 1 12.784 * [backup-simplify]: Simplify (log 1) into 0 12.784 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.784 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.785 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.785 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.785 * [taylor]: Taking taylor expansion of 1/3 in k 12.785 * [backup-simplify]: Simplify 1/3 into 1/3 12.785 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.785 * [taylor]: Taking taylor expansion of k in k 12.785 * [backup-simplify]: Simplify 0 into 0 12.785 * [backup-simplify]: Simplify 1 into 1 12.785 * [backup-simplify]: Simplify (/ 1 1) into 1 12.786 * [backup-simplify]: Simplify (log 1) into 0 12.786 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.786 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.787 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.787 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 12.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.790 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.790 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 12.791 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.791 * [backup-simplify]: Simplify 0 into 0 12.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.795 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.796 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.798 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.798 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.805 * [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 12.806 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 12.809 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.809 * [backup-simplify]: Simplify 0 into 0 12.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.821 * [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 12.822 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.827 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.827 * [backup-simplify]: Simplify 0 into 0 12.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.844 * [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 12.844 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.846 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.848 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.873 * [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 12.874 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.877 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 12.882 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.883 * [backup-simplify]: Simplify 0 into 0 12.883 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 12.883 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.883 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 12.883 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 12.883 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.883 * [taylor]: Taking taylor expansion of 1/3 in k 12.883 * [backup-simplify]: Simplify 1/3 into 1/3 12.884 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.884 * [taylor]: Taking taylor expansion of k in k 12.884 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify 1 into 1 12.884 * [backup-simplify]: Simplify (/ 1 1) into 1 12.885 * [backup-simplify]: Simplify (log 1) into 0 12.885 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.885 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.886 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.886 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.886 * [taylor]: Taking taylor expansion of -1 in k 12.886 * [backup-simplify]: Simplify -1 into -1 12.886 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.888 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.888 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 12.888 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.888 * [taylor]: Taking taylor expansion of 1/3 in k 12.888 * [backup-simplify]: Simplify 1/3 into 1/3 12.888 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.888 * [taylor]: Taking taylor expansion of k in k 12.888 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify 1 into 1 12.889 * [backup-simplify]: Simplify (/ 1 1) into 1 12.889 * [backup-simplify]: Simplify (log 1) into 0 12.890 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.890 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.890 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.890 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.890 * [taylor]: Taking taylor expansion of -1 in k 12.890 * [backup-simplify]: Simplify -1 into -1 12.891 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.891 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.892 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.893 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.896 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 12.898 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.898 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 12.898 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.905 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.907 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.908 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.908 * [backup-simplify]: Simplify 0 into 0 12.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.918 * [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 12.919 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 12.922 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.924 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.924 * [backup-simplify]: Simplify 0 into 0 12.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.938 * [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 12.938 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.943 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.945 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 12.945 * [backup-simplify]: Simplify 0 into 0 12.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.967 * [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 12.968 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.970 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.974 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.975 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 12.975 * [backup-simplify]: Simplify 0 into 0 12.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.002 * [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 13.002 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.005 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.008 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.009 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 13.009 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 13.010 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 13.010 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 13.010 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 13.010 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.010 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.010 * [taylor]: Taking taylor expansion of 1/3 in k 13.010 * [backup-simplify]: Simplify 1/3 into 1/3 13.010 * [taylor]: Taking taylor expansion of (log k) in k 13.010 * [taylor]: Taking taylor expansion of k in k 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 1 into 1 13.010 * [backup-simplify]: Simplify (log 1) into 0 13.011 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.011 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.011 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.011 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.011 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.011 * [taylor]: Taking taylor expansion of 1/3 in k 13.011 * [backup-simplify]: Simplify 1/3 into 1/3 13.011 * [taylor]: Taking taylor expansion of (log k) in k 13.011 * [taylor]: Taking taylor expansion of k in k 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify 1 into 1 13.011 * [backup-simplify]: Simplify (log 1) into 0 13.012 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.012 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.012 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.012 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.013 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 13.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.014 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.016 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.027 * [backup-simplify]: Simplify 0 into 0 13.033 * [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 13.033 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.036 * [backup-simplify]: Simplify 0 into 0 13.047 * [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 13.048 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.072 * [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 13.072 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.076 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.093 * [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 13.094 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.099 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.099 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 13.099 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 13.099 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.099 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.099 * [taylor]: Taking taylor expansion of 1/3 in k 13.099 * [backup-simplify]: Simplify 1/3 into 1/3 13.099 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.099 * [taylor]: Taking taylor expansion of k in k 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [backup-simplify]: Simplify (/ 1 1) into 1 13.100 * [backup-simplify]: Simplify (log 1) into 0 13.100 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.100 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.100 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.100 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.100 * [taylor]: Taking taylor expansion of 1/3 in k 13.100 * [backup-simplify]: Simplify 1/3 into 1/3 13.100 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.100 * [taylor]: Taking taylor expansion of k in k 13.100 * [backup-simplify]: Simplify 0 into 0 13.100 * [backup-simplify]: Simplify 1 into 1 13.100 * [backup-simplify]: Simplify (/ 1 1) into 1 13.101 * [backup-simplify]: Simplify (log 1) into 0 13.101 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.101 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.102 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.102 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 13.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.104 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.105 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.106 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.106 * [backup-simplify]: Simplify 0 into 0 13.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.111 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.113 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.113 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.118 * [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 13.119 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.121 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.127 * [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 13.128 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.129 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.130 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.130 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.148 * [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 13.149 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.156 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.156 * [backup-simplify]: Simplify 0 into 0 13.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.191 * [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 13.192 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.201 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.201 * [backup-simplify]: Simplify 0 into 0 13.201 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 13.202 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.202 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 13.202 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.202 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.202 * [taylor]: Taking taylor expansion of 1/3 in k 13.202 * [backup-simplify]: Simplify 1/3 into 1/3 13.202 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.202 * [taylor]: Taking taylor expansion of k in k 13.202 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify 1 into 1 13.202 * [backup-simplify]: Simplify (/ 1 1) into 1 13.203 * [backup-simplify]: Simplify (log 1) into 0 13.203 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.203 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.204 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.204 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.204 * [taylor]: Taking taylor expansion of -1 in k 13.204 * [backup-simplify]: Simplify -1 into -1 13.204 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.205 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.205 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.205 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.205 * [taylor]: Taking taylor expansion of 1/3 in k 13.205 * [backup-simplify]: Simplify 1/3 into 1/3 13.205 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.205 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.205 * [taylor]: Taking taylor expansion of k in k 13.205 * [backup-simplify]: Simplify 0 into 0 13.205 * [backup-simplify]: Simplify 1 into 1 13.206 * [backup-simplify]: Simplify (/ 1 1) into 1 13.206 * [backup-simplify]: Simplify (log 1) into 0 13.207 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.207 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.207 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.207 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.207 * [taylor]: Taking taylor expansion of -1 in k 13.207 * [backup-simplify]: Simplify -1 into -1 13.207 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.208 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.209 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.209 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.212 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.213 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.214 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.214 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 13.214 * [backup-simplify]: Simplify 0 into 0 13.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.221 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.222 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.223 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.224 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 13.224 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.232 * [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 13.233 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.236 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.238 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 13.238 * [backup-simplify]: Simplify 0 into 0 13.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.252 * [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 13.253 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.255 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.258 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.260 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 13.260 * [backup-simplify]: Simplify 0 into 0 13.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.281 * [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 13.282 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.288 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.290 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 13.290 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.336 * [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 13.337 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.346 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.348 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 13.348 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 13.349 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 13.350 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 13.350 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) in (k) around 0 13.350 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) in k 13.350 * [taylor]: Taking taylor expansion of 1.0 in k 13.350 * [backup-simplify]: Simplify 1.0 into 1.0 13.350 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)) in k 13.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 13.350 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 13.350 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 13.352 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 13.352 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 13.352 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 13.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 13.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 13.353 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/12) in k 13.353 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 k)))) in k 13.353 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 k))) in k 13.353 * [taylor]: Taking taylor expansion of 1/12 in k 13.353 * [backup-simplify]: Simplify 1/12 into 1/12 13.353 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.353 * [taylor]: Taking taylor expansion of k in k 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify 1 into 1 13.354 * [backup-simplify]: Simplify (/ 1 1) into 1 13.354 * [backup-simplify]: Simplify (log 1) into 0 13.355 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.355 * [backup-simplify]: Simplify (* 1/12 (- (log k))) into (* -1/12 (log k)) 13.355 * [backup-simplify]: Simplify (exp (* -1/12 (log k))) into (pow k -1/12) 13.355 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) in k 13.355 * [taylor]: Taking taylor expansion of 1.0 in k 13.355 * [backup-simplify]: Simplify 1.0 into 1.0 13.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)) in k 13.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 13.355 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 13.355 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 13.355 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 13.355 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 13.356 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 13.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 13.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 13.356 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/12) in k 13.356 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 k)))) in k 13.356 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 k))) in k 13.356 * [taylor]: Taking taylor expansion of 1/12 in k 13.356 * [backup-simplify]: Simplify 1/12 into 1/12 13.356 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.356 * [taylor]: Taking taylor expansion of k in k 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 1 into 1 13.357 * [backup-simplify]: Simplify (/ 1 1) into 1 13.357 * [backup-simplify]: Simplify (log 1) into 0 13.358 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.358 * [backup-simplify]: Simplify (* 1/12 (- (log k))) into (* -1/12 (log k)) 13.358 * [backup-simplify]: Simplify (exp (* -1/12 (log k))) into (pow k -1/12) 13.358 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow k -1/12)) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)) 13.359 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 13.359 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 13.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.362 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.363 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (- (log k)))) into 0 13.364 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.364 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (* 0 (pow k -1/12))) into 0 13.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)))) into 0 13.365 * [backup-simplify]: Simplify 0 into 0 13.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.370 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.371 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.373 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 13.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 13.375 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (* 0 (pow k -1/12)))) into 0 13.376 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))))) into 0 13.376 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.383 * [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 13.384 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.386 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.388 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 13.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 13.391 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12))))) into 0 13.392 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)))))) into 0 13.392 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.405 * [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 13.406 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.408 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.411 * [backup-simplify]: Simplify (* (exp (* -1/12 (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 13.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 13.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 13.415 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12)))))) into 0 13.417 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))))))) into 0 13.417 * [backup-simplify]: Simplify 0 into 0 13.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.436 * [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 13.437 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.439 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.443 * [backup-simplify]: Simplify (* (exp (* -1/12 (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 13.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 13.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 13.447 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12))))))) into 0 13.450 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)))))))) into 0 13.450 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.485 * [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 13.486 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.488 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.505 * [backup-simplify]: Simplify (* (exp (* -1/12 (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 13.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 13.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 13.510 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12)))))))) into 0 13.513 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))))))))) into 0 13.513 * [backup-simplify]: Simplify 0 into 0 13.513 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 13.514 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (fabs (cbrt (/ 1 k))))) (sqrt (sqrt (cbrt (/ 1 k))))) into (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 13.514 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in (k) around 0 13.514 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 13.514 * [taylor]: Taking taylor expansion of 1.0 in k 13.514 * [backup-simplify]: Simplify 1.0 into 1.0 13.514 * [taylor]: Taking taylor expansion of (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 13.514 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 13.514 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 13.514 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 13.514 * [taylor]: Taking taylor expansion of 1/12 in k 13.514 * [backup-simplify]: Simplify 1/12 into 1/12 13.514 * [taylor]: Taking taylor expansion of (log k) in k 13.514 * [taylor]: Taking taylor expansion of k in k 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify 1 into 1 13.515 * [backup-simplify]: Simplify (log 1) into 0 13.515 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.515 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 13.515 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 13.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 13.515 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 13.515 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 13.516 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 13.516 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 13.516 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 13.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.517 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 13.517 * [taylor]: Taking taylor expansion of 1.0 in k 13.517 * [backup-simplify]: Simplify 1.0 into 1.0 13.517 * [taylor]: Taking taylor expansion of (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 13.517 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 13.517 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 13.517 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 13.517 * [taylor]: Taking taylor expansion of 1/12 in k 13.517 * [backup-simplify]: Simplify 1/12 into 1/12 13.517 * [taylor]: Taking taylor expansion of (log k) in k 13.517 * [taylor]: Taking taylor expansion of k in k 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify 1 into 1 13.518 * [backup-simplify]: Simplify (log 1) into 0 13.518 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.518 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 13.519 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 13.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 13.519 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 13.519 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 13.519 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 13.519 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 13.519 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 13.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.520 * [backup-simplify]: Simplify (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) into (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) 13.521 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 13.521 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 13.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.523 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.524 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 13.525 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.525 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.526 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 13.526 * [backup-simplify]: Simplify 0 into 0 13.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.531 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.531 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.532 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.533 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.534 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 13.534 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.539 * [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 13.539 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.540 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.541 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.542 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 13.543 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 13.543 * [backup-simplify]: Simplify 0 into 0 13.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.550 * [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 13.551 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.552 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.553 * [backup-simplify]: Simplify (* (exp (* 1/12 (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 13.554 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 13.556 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 13.556 * [backup-simplify]: Simplify 0 into 0 13.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.568 * [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 13.569 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.571 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.575 * [backup-simplify]: Simplify (* (exp (* 1/12 (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 13.577 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 13.580 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 13.580 * [backup-simplify]: Simplify 0 into 0 13.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 13.617 * [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 13.618 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.621 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.624 * [backup-simplify]: Simplify (* (exp (* 1/12 (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 13.626 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 13.627 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))))) into 0 13.627 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify (* 1.0 (* (pow (/ 1 k) 1/12) (sqrt (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3)))))) into (* 1.0 (* (pow (/ 1 k) 1/12) (sqrt (/ 1 (fabs (pow k 1/3)))))) 13.628 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (fabs (cbrt (/ 1 (- k)))))) (sqrt (sqrt (cbrt (/ 1 (- k)))))) into (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) 13.628 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in (k) around 0 13.628 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in k 13.628 * [taylor]: Taking taylor expansion of 1.0 in k 13.628 * [backup-simplify]: Simplify 1.0 into 1.0 13.628 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) in k 13.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) in k 13.628 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 13.628 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 13.629 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 13.629 * [backup-simplify]: Simplify (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) into (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 13.629 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 13.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.631 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) in k 13.631 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 13.631 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 13.631 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 13.631 * [taylor]: Taking taylor expansion of 1/4 in k 13.631 * [backup-simplify]: Simplify 1/4 into 1/4 13.631 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 13.631 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 13.631 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.631 * [taylor]: Taking taylor expansion of -1 in k 13.631 * [backup-simplify]: Simplify -1 into -1 13.631 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.632 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.632 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 13.633 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 13.641 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 13.644 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 13.644 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 13.644 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 13.644 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 13.644 * [taylor]: Taking taylor expansion of 1/12 in k 13.644 * [backup-simplify]: Simplify 1/12 into 1/12 13.644 * [taylor]: Taking taylor expansion of (log k) in k 13.644 * [taylor]: Taking taylor expansion of k in k 13.644 * [backup-simplify]: Simplify 0 into 0 13.644 * [backup-simplify]: Simplify 1 into 1 13.644 * [backup-simplify]: Simplify (log 1) into 0 13.645 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.645 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 13.645 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 13.645 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in k 13.645 * [taylor]: Taking taylor expansion of 1.0 in k 13.645 * [backup-simplify]: Simplify 1.0 into 1.0 13.645 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) in k 13.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) in k 13.645 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 13.645 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 13.646 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 13.647 * [backup-simplify]: Simplify (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) into (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 13.647 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 13.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.649 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) in k 13.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 13.650 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 13.650 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 13.650 * [taylor]: Taking taylor expansion of 1/4 in k 13.650 * [backup-simplify]: Simplify 1/4 into 1/4 13.650 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 13.650 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 13.650 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.650 * [taylor]: Taking taylor expansion of -1 in k 13.650 * [backup-simplify]: Simplify -1 into -1 13.650 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.651 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.652 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 13.654 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 13.656 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 13.660 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 13.660 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 13.660 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 13.660 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 13.660 * [taylor]: Taking taylor expansion of 1/12 in k 13.660 * [backup-simplify]: Simplify 1/12 into 1/12 13.660 * [taylor]: Taking taylor expansion of (log k) in k 13.660 * [taylor]: Taking taylor expansion of k in k 13.660 * [backup-simplify]: Simplify 0 into 0 13.660 * [backup-simplify]: Simplify 1 into 1 13.661 * [backup-simplify]: Simplify (log 1) into 0 13.661 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.661 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 13.661 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 13.662 * [backup-simplify]: Simplify (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) into (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)) 13.664 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))) into (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) 13.666 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) into (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) 13.668 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) into (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) 13.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.669 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.669 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 13.670 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 13.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 13.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 13.674 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.674 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (* 0 (pow k 1/12))) into 0 13.676 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) into 0 13.679 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))))) into 0 13.679 * [backup-simplify]: Simplify 0 into 0 13.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.681 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.681 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.682 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 13.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 13.687 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 13.688 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.690 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (* 0 (pow k 1/12)))) into 0 13.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.694 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.697 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into 0 13.699 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))))) into 0 13.699 * [backup-simplify]: Simplify 0 into 0 13.702 * [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 13.703 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.704 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.705 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 13.710 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (cbrt -1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 6) into 0 13.711 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1))))))) into 0 13.713 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.714 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12))))) into 0 13.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.719 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))) into 0 13.721 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))))))) into 0 13.722 * [backup-simplify]: Simplify 0 into 0 13.728 * [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 13.728 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.729 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.731 * [backup-simplify]: Simplify (* (exp (* 1/12 (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 13.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 13.744 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (cbrt -1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 24) into 0 13.746 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))))) into 0 13.759 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (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 13.762 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12)))))) into 0 13.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.767 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.771 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))) into 0 13.774 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))))))) into 0 13.774 * [backup-simplify]: Simplify 0 into 0 13.785 * [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 13.785 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.787 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.789 * [backup-simplify]: Simplify (* (exp (* 1/12 (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 13.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 13.802 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 1 (cbrt -1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 1 (cbrt -1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 120) into 0 13.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1))))))))) into 0 13.808 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (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 13.811 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12))))))) into 0 13.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.822 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))))) into 0 13.827 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))))))))) into 0 13.827 * [backup-simplify]: Simplify 0 into 0 13.862 * [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 13.862 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.865 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.872 * [backup-simplify]: Simplify (* (exp (* 1/12 (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 13.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 13.906 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 1 (cbrt -1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 1 (cbrt -1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 1 (cbrt -1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 720) into 0 13.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))))))) into 0 13.918 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (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 13.921 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12)))))))) into 0 13.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.929 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 13.934 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))))) into 0 13.939 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))))))))) into 0 13.939 * [backup-simplify]: Simplify 0 into 0 13.942 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ 1 (- k)) 1/12)))) into (* 1.0 (* (pow (/ -1 k) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))) 13.942 * * * [progress]: simplifying candidates 13.952 * [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 (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (- (- (log 1.0) (log (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt (cbrt k))))) (- (log (/ 1.0 (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt (cbrt k))))) (log (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (exp (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (* (* (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))) (* (cbrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (cbrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (* (* (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (sqrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (sqrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (- (/ 1.0 (sqrt (fabs (cbrt k))))) (- (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt 1)))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) 1) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt 1)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) 1) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt 1)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 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(sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1 (sqrt (fabs (cbrt k))))) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) (* 1.0 (* (pow (/ 1 k) 1/12) (sqrt (/ 1 (fabs (pow k 1/3)))))) (* 1.0 (* (pow (/ -1 k) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))) 13.965 * * [simplify]: Extracting # 0 : cost 0 13.966 * * [simplify]: Extracting # 1 : cost 0 13.968 * * [simplify]: Extracting # 2 : cost 0 13.969 * * [simplify]: Extracting # 3 : cost 0 13.970 * * [simplify]: Extracting # 4 : cost 0 13.971 * * [simplify]: Extracting # 5 : cost 0 13.972 * * [simplify]: Extracting # 6 : cost 0 13.974 * * [simplify]: Extracting # 7 : cost 0 13.975 * * [simplify]: Extracting # 8 : cost 0 13.976 * * [simplify]: Extracting # 9 : cost 0 13.977 * * [simplify]: Extracting # 10 : cost 0 13.978 * * [simplify]: Extracting # 11 : cost 0 13.987 * * [simplify]: iteration 0 : 549 enodes (cost 8973 ) 14.311 * * [simplify]: Extracting # 0 : cost 0 14.316 * * [simplify]: Extracting # 1 : cost 0 14.319 * * [simplify]: Extracting # 2 : cost 0 14.323 * * [simplify]: Extracting # 3 : cost 0 14.327 * * [simplify]: Extracting # 4 : cost 0 14.330 * * [simplify]: Extracting # 5 : cost 0 14.334 * * [simplify]: iteration 1 : 1224 enodes (cost 8007 ) 14.819 * * [simplify]: Extracting # 0 : cost 0 14.823 * * [simplify]: Extracting # 1 : cost 0 14.826 * * [simplify]: Extracting # 2 : cost 0 14.830 * * [simplify]: Extracting # 3 : cost 0 14.834 * * [simplify]: Extracting # 4 : cost 0 14.837 * * [simplify]: Extracting # 5 : cost 0 14.842 * * [simplify]: iteration 2 : 2795 enodes (cost 7863 ) 16.071 * * [simplify]: Extracting # 0 : cost 0 16.084 * * [simplify]: Extracting # 1 : cost 0 16.096 * * [simplify]: Extracting # 2 : cost 0 16.109 * * [simplify]: Extracting # 3 : cost 0 16.132 * * [simplify]: Extracting # 4 : cost 0 16.145 * * [simplify]: iteration done: 5002 enodes (cost 7857 ) 16.152 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt 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(sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))) (/ 1 (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))) (/ 1 (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (* (sqrt (fabs (cbrt (cbrt k)))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt (cbrt k))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (sqrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (+ (pow (* (* 2.0 PI) n) 0.5) (* (* 0.25 (* (* (log n) (pow (* (* 2.0 PI) n) 0.5)) (log (* 2.0 PI)))) (pow k 2))) (* (* 0.5 k) (+ (* (log n) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt -1) (cbrt (- k))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt -1) (cbrt (- k))) (* 1.0 (* (sqrt (/ 1 (fabs (cbrt k)))) (pow (/ 1 k) 1/12))) (* 1.0 (* (sqrt (/ 1 (fabs (cbrt k)))) (pow (/ 1 k) 1/12))) (* (* (* (pow (/ -1 k) 1/12) (pow (/ 1 (cbrt -1)) 1/4)) (sqrt (/ 1 (fabs (* (cbrt -1) (cbrt (- k))))))) 1.0) 16.160 * * * [progress]: adding candidates to table 18.140 * * [progress]: iteration 4 / 4 18.140 * * * [progress]: picking best candidate 18.193 * * * * [pick]: Picked # 18.193 * * * [progress]: localizing error 18.217 * * * [progress]: generating rewritten candidates 18.217 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 18.247 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 18.254 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 18.261 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 18.306 * * * [progress]: generating series expansions 18.306 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 18.307 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 18.307 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 18.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 18.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 18.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 18.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 18.307 * [taylor]: Taking taylor expansion of 0.5 in k 18.307 * [backup-simplify]: Simplify 0.5 into 0.5 18.307 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.307 * [taylor]: Taking taylor expansion of 1.0 in k 18.307 * [backup-simplify]: Simplify 1.0 into 1.0 18.307 * [taylor]: Taking taylor expansion of k in k 18.307 * [backup-simplify]: Simplify 0 into 0 18.307 * [backup-simplify]: Simplify 1 into 1 18.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 18.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 18.307 * [taylor]: Taking taylor expansion of 2.0 in k 18.307 * [backup-simplify]: Simplify 2.0 into 2.0 18.307 * [taylor]: Taking taylor expansion of (* n PI) in k 18.307 * [taylor]: Taking taylor expansion of n in k 18.307 * [backup-simplify]: Simplify n into n 18.307 * [taylor]: Taking taylor expansion of PI in k 18.307 * [backup-simplify]: Simplify PI into PI 18.307 * [backup-simplify]: Simplify (* n PI) into (* n PI) 18.307 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 18.308 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 18.308 * [backup-simplify]: Simplify (- 0) into 0 18.308 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.309 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 18.309 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 18.309 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 18.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 18.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 18.309 * [taylor]: Taking taylor expansion of 0.5 in n 18.309 * [backup-simplify]: Simplify 0.5 into 0.5 18.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.309 * [taylor]: Taking taylor expansion of 1.0 in n 18.309 * [backup-simplify]: Simplify 1.0 into 1.0 18.309 * [taylor]: Taking taylor expansion of k in n 18.309 * [backup-simplify]: Simplify k into k 18.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.309 * [taylor]: Taking taylor expansion of 2.0 in n 18.309 * [backup-simplify]: Simplify 2.0 into 2.0 18.309 * [taylor]: Taking taylor expansion of (* n PI) in n 18.309 * [taylor]: Taking taylor expansion of n in n 18.309 * [backup-simplify]: Simplify 0 into 0 18.309 * [backup-simplify]: Simplify 1 into 1 18.309 * [taylor]: Taking taylor expansion of PI in n 18.309 * [backup-simplify]: Simplify PI into PI 18.310 * [backup-simplify]: Simplify (* 0 PI) into 0 18.310 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.312 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.313 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.313 * [backup-simplify]: Simplify (- k) into (- k) 18.313 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.313 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 18.314 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.314 * [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)))) 18.315 * [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))))) 18.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 18.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 18.315 * [taylor]: Taking taylor expansion of 0.5 in n 18.315 * [backup-simplify]: Simplify 0.5 into 0.5 18.315 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.315 * [taylor]: Taking taylor expansion of 1.0 in n 18.315 * [backup-simplify]: Simplify 1.0 into 1.0 18.315 * [taylor]: Taking taylor expansion of k in n 18.315 * [backup-simplify]: Simplify k into k 18.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.315 * [taylor]: Taking taylor expansion of 2.0 in n 18.316 * [backup-simplify]: Simplify 2.0 into 2.0 18.316 * [taylor]: Taking taylor expansion of (* n PI) in n 18.316 * [taylor]: Taking taylor expansion of n in n 18.316 * [backup-simplify]: Simplify 0 into 0 18.316 * [backup-simplify]: Simplify 1 into 1 18.316 * [taylor]: Taking taylor expansion of PI in n 18.316 * [backup-simplify]: Simplify PI into PI 18.316 * [backup-simplify]: Simplify (* 0 PI) into 0 18.316 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.318 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.319 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.319 * [backup-simplify]: Simplify (- k) into (- k) 18.319 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.319 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 18.320 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.321 * [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)))) 18.321 * [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))))) 18.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 18.322 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 18.322 * [taylor]: Taking taylor expansion of 0.5 in k 18.322 * [backup-simplify]: Simplify 0.5 into 0.5 18.322 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 18.322 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.322 * [taylor]: Taking taylor expansion of 1.0 in k 18.322 * [backup-simplify]: Simplify 1.0 into 1.0 18.322 * [taylor]: Taking taylor expansion of k in k 18.322 * [backup-simplify]: Simplify 0 into 0 18.322 * [backup-simplify]: Simplify 1 into 1 18.322 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 18.322 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.322 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.322 * [taylor]: Taking taylor expansion of 2.0 in k 18.322 * [backup-simplify]: Simplify 2.0 into 2.0 18.322 * [taylor]: Taking taylor expansion of PI in k 18.322 * [backup-simplify]: Simplify PI into PI 18.322 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.323 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.323 * [taylor]: Taking taylor expansion of (log n) in k 18.323 * [taylor]: Taking taylor expansion of n in k 18.323 * [backup-simplify]: Simplify n into n 18.323 * [backup-simplify]: Simplify (log n) into (log n) 18.323 * [backup-simplify]: Simplify (- 0) into 0 18.323 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.324 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 18.325 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 18.326 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 18.326 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 18.327 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 18.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.328 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 18.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.330 * [backup-simplify]: Simplify (- 0) into 0 18.330 * [backup-simplify]: Simplify (+ 0 0) into 0 18.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 18.331 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.332 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 18.334 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.334 * [taylor]: Taking taylor expansion of 0 in k 18.334 * [backup-simplify]: Simplify 0 into 0 18.334 * [backup-simplify]: Simplify 0 into 0 18.335 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.338 * [backup-simplify]: Simplify (+ 0 0) into 0 18.338 * [backup-simplify]: Simplify (- 1) into -1 18.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.341 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 18.343 * [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)))) 18.346 * [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)))))) 18.350 * [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)))))) 18.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.356 * [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 18.357 * [backup-simplify]: Simplify (- 0) into 0 18.357 * [backup-simplify]: Simplify (+ 0 0) into 0 18.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 18.359 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.361 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.364 * [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 18.364 * [taylor]: Taking taylor expansion of 0 in k 18.364 * [backup-simplify]: Simplify 0 into 0 18.364 * [backup-simplify]: Simplify 0 into 0 18.364 * [backup-simplify]: Simplify 0 into 0 18.365 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.369 * [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 18.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 18.370 * [backup-simplify]: Simplify (+ 0 0) into 0 18.370 * [backup-simplify]: Simplify (- 0) into 0 18.371 * [backup-simplify]: Simplify (+ 0 0) into 0 18.372 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 18.376 * [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)))))) 18.380 * [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)))))) 18.387 * [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)))))) 18.387 * [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)))) 18.387 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 18.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 18.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 18.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 18.387 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 18.388 * [taylor]: Taking taylor expansion of 0.5 in k 18.388 * [backup-simplify]: Simplify 0.5 into 0.5 18.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.388 * [taylor]: Taking taylor expansion of 1.0 in k 18.388 * [backup-simplify]: Simplify 1.0 into 1.0 18.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.388 * [taylor]: Taking taylor expansion of k in k 18.388 * [backup-simplify]: Simplify 0 into 0 18.388 * [backup-simplify]: Simplify 1 into 1 18.388 * [backup-simplify]: Simplify (/ 1 1) into 1 18.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 18.388 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 18.388 * [taylor]: Taking taylor expansion of 2.0 in k 18.388 * [backup-simplify]: Simplify 2.0 into 2.0 18.388 * [taylor]: Taking taylor expansion of (/ PI n) in k 18.388 * [taylor]: Taking taylor expansion of PI in k 18.388 * [backup-simplify]: Simplify PI into PI 18.388 * [taylor]: Taking taylor expansion of n in k 18.388 * [backup-simplify]: Simplify n into n 18.388 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 18.388 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 18.388 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 18.389 * [backup-simplify]: Simplify (- 1) into -1 18.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.389 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 18.389 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 18.389 * [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))))) 18.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 18.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.389 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 18.389 * [taylor]: Taking taylor expansion of 0.5 in n 18.389 * [backup-simplify]: Simplify 0.5 into 0.5 18.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.389 * [taylor]: Taking taylor expansion of 1.0 in n 18.390 * [backup-simplify]: Simplify 1.0 into 1.0 18.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.390 * [taylor]: Taking taylor expansion of k in n 18.390 * [backup-simplify]: Simplify k into k 18.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.390 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.390 * [taylor]: Taking taylor expansion of 2.0 in n 18.390 * [backup-simplify]: Simplify 2.0 into 2.0 18.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.390 * [taylor]: Taking taylor expansion of PI in n 18.390 * [backup-simplify]: Simplify PI into PI 18.390 * [taylor]: Taking taylor expansion of n in n 18.390 * [backup-simplify]: Simplify 0 into 0 18.390 * [backup-simplify]: Simplify 1 into 1 18.390 * [backup-simplify]: Simplify (/ PI 1) into PI 18.390 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.391 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.391 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.391 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.391 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 18.392 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.393 * [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)))) 18.394 * [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))))) 18.394 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 18.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.394 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 18.394 * [taylor]: Taking taylor expansion of 0.5 in n 18.394 * [backup-simplify]: Simplify 0.5 into 0.5 18.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.394 * [taylor]: Taking taylor expansion of 1.0 in n 18.394 * [backup-simplify]: Simplify 1.0 into 1.0 18.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.394 * [taylor]: Taking taylor expansion of k in n 18.394 * [backup-simplify]: Simplify k into k 18.394 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.394 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.394 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.394 * [taylor]: Taking taylor expansion of 2.0 in n 18.394 * [backup-simplify]: Simplify 2.0 into 2.0 18.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.394 * [taylor]: Taking taylor expansion of PI in n 18.394 * [backup-simplify]: Simplify PI into PI 18.394 * [taylor]: Taking taylor expansion of n in n 18.394 * [backup-simplify]: Simplify 0 into 0 18.394 * [backup-simplify]: Simplify 1 into 1 18.395 * [backup-simplify]: Simplify (/ PI 1) into PI 18.395 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.396 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.396 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.396 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.396 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 18.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.398 * [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)))) 18.398 * [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))))) 18.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 18.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 18.399 * [taylor]: Taking taylor expansion of 0.5 in k 18.399 * [backup-simplify]: Simplify 0.5 into 0.5 18.399 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 18.399 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 18.399 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.399 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.399 * [taylor]: Taking taylor expansion of 2.0 in k 18.399 * [backup-simplify]: Simplify 2.0 into 2.0 18.399 * [taylor]: Taking taylor expansion of PI in k 18.399 * [backup-simplify]: Simplify PI into PI 18.399 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.409 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.409 * [taylor]: Taking taylor expansion of (log n) in k 18.409 * [taylor]: Taking taylor expansion of n in k 18.409 * [backup-simplify]: Simplify n into n 18.409 * [backup-simplify]: Simplify (log n) into (log n) 18.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.409 * [taylor]: Taking taylor expansion of 1.0 in k 18.409 * [backup-simplify]: Simplify 1.0 into 1.0 18.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.409 * [taylor]: Taking taylor expansion of k in k 18.409 * [backup-simplify]: Simplify 0 into 0 18.409 * [backup-simplify]: Simplify 1 into 1 18.410 * [backup-simplify]: Simplify (/ 1 1) into 1 18.410 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.411 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 18.412 * [backup-simplify]: Simplify (- 1) into -1 18.412 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.413 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 18.414 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 18.416 * [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))))) 18.417 * [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))))) 18.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.419 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.421 * [backup-simplify]: Simplify (- 0) into 0 18.422 * [backup-simplify]: Simplify (+ 0 0) into 0 18.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 18.423 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.425 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 18.427 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.427 * [taylor]: Taking taylor expansion of 0 in k 18.427 * [backup-simplify]: Simplify 0 into 0 18.427 * [backup-simplify]: Simplify 0 into 0 18.427 * [backup-simplify]: Simplify 0 into 0 18.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.431 * [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 18.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.431 * [backup-simplify]: Simplify (- 0) into 0 18.431 * [backup-simplify]: Simplify (+ 0 0) into 0 18.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 18.433 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.434 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 18.435 * [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 18.435 * [taylor]: Taking taylor expansion of 0 in k 18.435 * [backup-simplify]: Simplify 0 into 0 18.435 * [backup-simplify]: Simplify 0 into 0 18.436 * [backup-simplify]: Simplify 0 into 0 18.436 * [backup-simplify]: Simplify 0 into 0 18.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.441 * [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 18.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.441 * [backup-simplify]: Simplify (- 0) into 0 18.441 * [backup-simplify]: Simplify (+ 0 0) into 0 18.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 18.443 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.444 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 18.446 * [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 18.446 * [taylor]: Taking taylor expansion of 0 in k 18.446 * [backup-simplify]: Simplify 0 into 0 18.446 * [backup-simplify]: Simplify 0 into 0 18.447 * [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)))) 18.448 * [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))) 18.448 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 18.448 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 18.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 18.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 18.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 18.448 * [taylor]: Taking taylor expansion of 0.5 in k 18.448 * [backup-simplify]: Simplify 0.5 into 0.5 18.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.448 * [taylor]: Taking taylor expansion of k in k 18.448 * [backup-simplify]: Simplify 0 into 0 18.448 * [backup-simplify]: Simplify 1 into 1 18.448 * [backup-simplify]: Simplify (/ 1 1) into 1 18.448 * [taylor]: Taking taylor expansion of 1.0 in k 18.448 * [backup-simplify]: Simplify 1.0 into 1.0 18.448 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 18.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 18.448 * [taylor]: Taking taylor expansion of -2.0 in k 18.448 * [backup-simplify]: Simplify -2.0 into -2.0 18.448 * [taylor]: Taking taylor expansion of (/ PI n) in k 18.448 * [taylor]: Taking taylor expansion of PI in k 18.448 * [backup-simplify]: Simplify PI into PI 18.448 * [taylor]: Taking taylor expansion of n in k 18.448 * [backup-simplify]: Simplify n into n 18.448 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 18.448 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 18.448 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 18.449 * [backup-simplify]: Simplify (+ 1 0) into 1 18.449 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 18.449 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 18.449 * [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)))))) 18.449 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 18.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 18.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 18.449 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 18.449 * [taylor]: Taking taylor expansion of 0.5 in n 18.449 * [backup-simplify]: Simplify 0.5 into 0.5 18.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.449 * [taylor]: Taking taylor expansion of k in n 18.449 * [backup-simplify]: Simplify k into k 18.450 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.450 * [taylor]: Taking taylor expansion of 1.0 in n 18.450 * [backup-simplify]: Simplify 1.0 into 1.0 18.450 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 18.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 18.450 * [taylor]: Taking taylor expansion of -2.0 in n 18.450 * [backup-simplify]: Simplify -2.0 into -2.0 18.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.450 * [taylor]: Taking taylor expansion of PI in n 18.450 * [backup-simplify]: Simplify PI into PI 18.450 * [taylor]: Taking taylor expansion of n in n 18.450 * [backup-simplify]: Simplify 0 into 0 18.450 * [backup-simplify]: Simplify 1 into 1 18.450 * [backup-simplify]: Simplify (/ PI 1) into PI 18.450 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.451 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 18.451 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.451 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 18.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.453 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 18.454 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 18.454 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 18.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 18.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 18.454 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 18.454 * [taylor]: Taking taylor expansion of 0.5 in n 18.454 * [backup-simplify]: Simplify 0.5 into 0.5 18.454 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.454 * [taylor]: Taking taylor expansion of k in n 18.454 * [backup-simplify]: Simplify k into k 18.454 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.454 * [taylor]: Taking taylor expansion of 1.0 in n 18.454 * [backup-simplify]: Simplify 1.0 into 1.0 18.454 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 18.454 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 18.454 * [taylor]: Taking taylor expansion of -2.0 in n 18.454 * [backup-simplify]: Simplify -2.0 into -2.0 18.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.454 * [taylor]: Taking taylor expansion of PI in n 18.454 * [backup-simplify]: Simplify PI into PI 18.454 * [taylor]: Taking taylor expansion of n in n 18.454 * [backup-simplify]: Simplify 0 into 0 18.454 * [backup-simplify]: Simplify 1 into 1 18.455 * [backup-simplify]: Simplify (/ PI 1) into PI 18.455 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.456 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 18.456 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.456 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 18.457 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.457 * [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)))) 18.458 * [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))))) 18.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 18.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 18.458 * [taylor]: Taking taylor expansion of 0.5 in k 18.458 * [backup-simplify]: Simplify 0.5 into 0.5 18.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 18.458 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.458 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.458 * [taylor]: Taking taylor expansion of k in k 18.459 * [backup-simplify]: Simplify 0 into 0 18.459 * [backup-simplify]: Simplify 1 into 1 18.459 * [backup-simplify]: Simplify (/ 1 1) into 1 18.459 * [taylor]: Taking taylor expansion of 1.0 in k 18.459 * [backup-simplify]: Simplify 1.0 into 1.0 18.459 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 18.459 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 18.459 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 18.459 * [taylor]: Taking taylor expansion of -2.0 in k 18.459 * [backup-simplify]: Simplify -2.0 into -2.0 18.459 * [taylor]: Taking taylor expansion of PI in k 18.459 * [backup-simplify]: Simplify PI into PI 18.459 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.460 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 18.460 * [taylor]: Taking taylor expansion of (log n) in k 18.460 * [taylor]: Taking taylor expansion of n in k 18.460 * [backup-simplify]: Simplify n into n 18.460 * [backup-simplify]: Simplify (log n) into (log n) 18.460 * [backup-simplify]: Simplify (+ 1 0) into 1 18.460 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.461 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 18.462 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 18.463 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 18.464 * [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))))) 18.464 * [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))))) 18.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.466 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 18.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 18.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.469 * [backup-simplify]: Simplify (+ 0 0) into 0 18.469 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 18.471 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.472 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 18.474 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.474 * [taylor]: Taking taylor expansion of 0 in k 18.474 * [backup-simplify]: Simplify 0 into 0 18.474 * [backup-simplify]: Simplify 0 into 0 18.474 * [backup-simplify]: Simplify 0 into 0 18.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.476 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.480 * [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 18.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.480 * [backup-simplify]: Simplify (+ 0 0) into 0 18.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 18.483 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.485 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 18.487 * [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 18.488 * [taylor]: Taking taylor expansion of 0 in k 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 0 into 0 18.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.490 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.496 * [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 18.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.497 * [backup-simplify]: Simplify (+ 0 0) into 0 18.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 18.500 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.502 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 18.505 * [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 18.505 * [taylor]: Taking taylor expansion of 0 in k 18.505 * [backup-simplify]: Simplify 0 into 0 18.505 * [backup-simplify]: Simplify 0 into 0 18.507 * [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)))))) 18.507 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 18.507 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 18.507 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 18.507 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 18.507 * [taylor]: Taking taylor expansion of 1.0 in k 18.507 * [backup-simplify]: Simplify 1.0 into 1.0 18.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 18.507 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.507 * [taylor]: Taking taylor expansion of k in k 18.507 * [backup-simplify]: Simplify 0 into 0 18.507 * [backup-simplify]: Simplify 1 into 1 18.508 * [backup-simplify]: Simplify (/ 1 1) into 1 18.508 * [backup-simplify]: Simplify (sqrt 0) into 0 18.510 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.510 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 18.510 * [taylor]: Taking taylor expansion of 1.0 in k 18.510 * [backup-simplify]: Simplify 1.0 into 1.0 18.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 18.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.510 * [taylor]: Taking taylor expansion of k in k 18.510 * [backup-simplify]: Simplify 0 into 0 18.510 * [backup-simplify]: Simplify 1 into 1 18.510 * [backup-simplify]: Simplify (/ 1 1) into 1 18.511 * [backup-simplify]: Simplify (sqrt 0) into 0 18.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.513 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.513 * [backup-simplify]: Simplify 0 into 0 18.514 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 18.515 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.518 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.520 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 18.521 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.528 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 18.529 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.530 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 18.530 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 18.530 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 18.530 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 18.530 * [taylor]: Taking taylor expansion of 1.0 in k 18.530 * [backup-simplify]: Simplify 1.0 into 1.0 18.530 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.530 * [taylor]: Taking taylor expansion of k in k 18.530 * [backup-simplify]: Simplify 0 into 0 18.530 * [backup-simplify]: Simplify 1 into 1 18.531 * [backup-simplify]: Simplify (sqrt 0) into 0 18.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.532 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 18.532 * [taylor]: Taking taylor expansion of 1.0 in k 18.532 * [backup-simplify]: Simplify 1.0 into 1.0 18.532 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.532 * [taylor]: Taking taylor expansion of k in k 18.532 * [backup-simplify]: Simplify 0 into 0 18.532 * [backup-simplify]: Simplify 1 into 1 18.533 * [backup-simplify]: Simplify (sqrt 0) into 0 18.534 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.534 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.534 * [backup-simplify]: Simplify 0 into 0 18.536 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 18.545 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.549 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.551 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 18.551 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.558 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 18.558 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.560 * [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)))))))) 18.560 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 18.560 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 18.560 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 18.560 * [taylor]: Taking taylor expansion of 1.0 in k 18.560 * [backup-simplify]: Simplify 1.0 into 1.0 18.560 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.560 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.560 * [taylor]: Taking taylor expansion of -1 in k 18.560 * [backup-simplify]: Simplify -1 into -1 18.560 * [taylor]: Taking taylor expansion of k in k 18.560 * [backup-simplify]: Simplify 0 into 0 18.561 * [backup-simplify]: Simplify 1 into 1 18.561 * [backup-simplify]: Simplify (/ -1 1) into -1 18.561 * [backup-simplify]: Simplify (sqrt 0) into 0 18.563 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.563 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 18.563 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 18.563 * [taylor]: Taking taylor expansion of 1.0 in k 18.563 * [backup-simplify]: Simplify 1.0 into 1.0 18.563 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.563 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.563 * [taylor]: Taking taylor expansion of -1 in k 18.563 * [backup-simplify]: Simplify -1 into -1 18.563 * [taylor]: Taking taylor expansion of k in k 18.563 * [backup-simplify]: Simplify 0 into 0 18.563 * [backup-simplify]: Simplify 1 into 1 18.564 * [backup-simplify]: Simplify (/ -1 1) into -1 18.564 * [backup-simplify]: Simplify (sqrt 0) into 0 18.566 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.566 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 18.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.570 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.573 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 18.574 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.583 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 18.584 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.585 * [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))))) 18.585 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 18.585 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 18.585 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 18.585 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 18.585 * [taylor]: Taking taylor expansion of 1.0 in k 18.585 * [backup-simplify]: Simplify 1.0 into 1.0 18.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 18.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.585 * [taylor]: Taking taylor expansion of k in k 18.585 * [backup-simplify]: Simplify 0 into 0 18.585 * [backup-simplify]: Simplify 1 into 1 18.586 * [backup-simplify]: Simplify (/ 1 1) into 1 18.586 * [backup-simplify]: Simplify (sqrt 0) into 0 18.587 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.587 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 18.587 * [taylor]: Taking taylor expansion of 1.0 in k 18.587 * [backup-simplify]: Simplify 1.0 into 1.0 18.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 18.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.587 * [taylor]: Taking taylor expansion of k in k 18.588 * [backup-simplify]: Simplify 0 into 0 18.588 * [backup-simplify]: Simplify 1 into 1 18.588 * [backup-simplify]: Simplify (/ 1 1) into 1 18.588 * [backup-simplify]: Simplify (sqrt 0) into 0 18.590 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.590 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.590 * [backup-simplify]: Simplify 0 into 0 18.592 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 18.592 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.596 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.598 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 18.598 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.605 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 18.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.607 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 18.607 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 18.607 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 18.607 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 18.607 * [taylor]: Taking taylor expansion of 1.0 in k 18.607 * [backup-simplify]: Simplify 1.0 into 1.0 18.607 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.607 * [taylor]: Taking taylor expansion of k in k 18.607 * [backup-simplify]: Simplify 0 into 0 18.607 * [backup-simplify]: Simplify 1 into 1 18.608 * [backup-simplify]: Simplify (sqrt 0) into 0 18.609 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.609 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 18.609 * [taylor]: Taking taylor expansion of 1.0 in k 18.609 * [backup-simplify]: Simplify 1.0 into 1.0 18.609 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.609 * [taylor]: Taking taylor expansion of k in k 18.609 * [backup-simplify]: Simplify 0 into 0 18.609 * [backup-simplify]: Simplify 1 into 1 18.610 * [backup-simplify]: Simplify (sqrt 0) into 0 18.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.611 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.611 * [backup-simplify]: Simplify 0 into 0 18.613 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 18.613 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.616 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.618 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 18.619 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.625 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 18.626 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.627 * [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)))))))) 18.628 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 18.628 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 18.628 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 18.628 * [taylor]: Taking taylor expansion of 1.0 in k 18.628 * [backup-simplify]: Simplify 1.0 into 1.0 18.628 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.628 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.628 * [taylor]: Taking taylor expansion of -1 in k 18.628 * [backup-simplify]: Simplify -1 into -1 18.628 * [taylor]: Taking taylor expansion of k in k 18.628 * [backup-simplify]: Simplify 0 into 0 18.628 * [backup-simplify]: Simplify 1 into 1 18.628 * [backup-simplify]: Simplify (/ -1 1) into -1 18.629 * [backup-simplify]: Simplify (sqrt 0) into 0 18.630 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.630 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 18.631 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 18.631 * [taylor]: Taking taylor expansion of 1.0 in k 18.631 * [backup-simplify]: Simplify 1.0 into 1.0 18.631 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.631 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.631 * [taylor]: Taking taylor expansion of -1 in k 18.631 * [backup-simplify]: Simplify -1 into -1 18.631 * [taylor]: Taking taylor expansion of k in k 18.631 * [backup-simplify]: Simplify 0 into 0 18.631 * [backup-simplify]: Simplify 1 into 1 18.631 * [backup-simplify]: Simplify (/ -1 1) into -1 18.632 * [backup-simplify]: Simplify (sqrt 0) into 0 18.633 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.634 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 18.634 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.641 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.644 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 18.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.654 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 18.654 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 18.655 * [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))))) 18.655 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 18.656 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 18.656 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 18.656 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.656 * [taylor]: Taking taylor expansion of 2.0 in n 18.656 * [backup-simplify]: Simplify 2.0 into 2.0 18.656 * [taylor]: Taking taylor expansion of (* n PI) in n 18.656 * [taylor]: Taking taylor expansion of n in n 18.656 * [backup-simplify]: Simplify 0 into 0 18.656 * [backup-simplify]: Simplify 1 into 1 18.656 * [taylor]: Taking taylor expansion of PI in n 18.656 * [backup-simplify]: Simplify PI into PI 18.656 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.656 * [taylor]: Taking taylor expansion of 2.0 in n 18.656 * [backup-simplify]: Simplify 2.0 into 2.0 18.656 * [taylor]: Taking taylor expansion of (* n PI) in n 18.656 * [taylor]: Taking taylor expansion of n in n 18.656 * [backup-simplify]: Simplify 0 into 0 18.656 * [backup-simplify]: Simplify 1 into 1 18.656 * [taylor]: Taking taylor expansion of PI in n 18.656 * [backup-simplify]: Simplify PI into PI 18.657 * [backup-simplify]: Simplify (* 0 PI) into 0 18.657 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.657 * [backup-simplify]: Simplify 0 into 0 18.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.661 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.661 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.663 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 18.663 * [backup-simplify]: Simplify 0 into 0 18.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.666 * [backup-simplify]: Simplify 0 into 0 18.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.669 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.669 * [backup-simplify]: Simplify 0 into 0 18.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 18.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 18.672 * [backup-simplify]: Simplify 0 into 0 18.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 18.676 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 18.676 * [backup-simplify]: Simplify 0 into 0 18.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 18.680 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 18.680 * [backup-simplify]: Simplify 0 into 0 18.681 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 18.681 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 18.681 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 18.681 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.681 * [taylor]: Taking taylor expansion of 2.0 in n 18.681 * [backup-simplify]: Simplify 2.0 into 2.0 18.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.681 * [taylor]: Taking taylor expansion of PI in n 18.682 * [backup-simplify]: Simplify PI into PI 18.682 * [taylor]: Taking taylor expansion of n in n 18.682 * [backup-simplify]: Simplify 0 into 0 18.682 * [backup-simplify]: Simplify 1 into 1 18.682 * [backup-simplify]: Simplify (/ PI 1) into PI 18.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.682 * [taylor]: Taking taylor expansion of 2.0 in n 18.682 * [backup-simplify]: Simplify 2.0 into 2.0 18.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.682 * [taylor]: Taking taylor expansion of PI in n 18.682 * [backup-simplify]: Simplify PI into PI 18.682 * [taylor]: Taking taylor expansion of n in n 18.682 * [backup-simplify]: Simplify 0 into 0 18.682 * [backup-simplify]: Simplify 1 into 1 18.683 * [backup-simplify]: Simplify (/ PI 1) into PI 18.684 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.684 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.685 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.685 * [backup-simplify]: Simplify 0 into 0 18.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.687 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.687 * [backup-simplify]: Simplify 0 into 0 18.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.688 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.688 * [backup-simplify]: Simplify 0 into 0 18.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.697 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.697 * [backup-simplify]: Simplify 0 into 0 18.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.699 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 18.699 * [backup-simplify]: Simplify 0 into 0 18.699 * [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 18.700 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 18.700 * [backup-simplify]: Simplify 0 into 0 18.701 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 18.701 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 18.701 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 18.701 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 18.701 * [taylor]: Taking taylor expansion of -2.0 in n 18.701 * [backup-simplify]: Simplify -2.0 into -2.0 18.701 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.701 * [taylor]: Taking taylor expansion of PI in n 18.701 * [backup-simplify]: Simplify PI into PI 18.702 * [taylor]: Taking taylor expansion of n in n 18.702 * [backup-simplify]: Simplify 0 into 0 18.702 * [backup-simplify]: Simplify 1 into 1 18.702 * [backup-simplify]: Simplify (/ PI 1) into PI 18.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 18.702 * [taylor]: Taking taylor expansion of -2.0 in n 18.702 * [backup-simplify]: Simplify -2.0 into -2.0 18.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.702 * [taylor]: Taking taylor expansion of PI in n 18.702 * [backup-simplify]: Simplify PI into PI 18.702 * [taylor]: Taking taylor expansion of n in n 18.702 * [backup-simplify]: Simplify 0 into 0 18.702 * [backup-simplify]: Simplify 1 into 1 18.703 * [backup-simplify]: Simplify (/ PI 1) into PI 18.703 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.703 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.704 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 18.704 * [backup-simplify]: Simplify 0 into 0 18.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.706 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.706 * [backup-simplify]: Simplify 0 into 0 18.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.707 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.707 * [backup-simplify]: Simplify 0 into 0 18.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.709 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.709 * [backup-simplify]: Simplify 0 into 0 18.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.710 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 18.710 * [backup-simplify]: Simplify 0 into 0 18.711 * [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 18.712 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 18.712 * [backup-simplify]: Simplify 0 into 0 18.712 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 18.712 * * * [progress]: simplifying candidates 18.715 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt 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) (- (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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 18.718 * * [simplify]: Extracting # 0 : cost 0 18.719 * * [simplify]: Extracting # 1 : cost 0 18.719 * * [simplify]: Extracting # 2 : cost 0 18.720 * * [simplify]: Extracting # 3 : cost 0 18.720 * * [simplify]: Extracting # 4 : cost 0 18.721 * * [simplify]: Extracting # 5 : cost 0 18.721 * * [simplify]: Extracting # 6 : cost 0 18.722 * * [simplify]: Extracting # 7 : cost 0 18.722 * * [simplify]: Extracting # 8 : cost 0 18.723 * * [simplify]: Extracting # 9 : cost 0 18.723 * * [simplify]: Extracting # 10 : cost 0 18.724 * * [simplify]: Extracting # 11 : cost 0 18.725 * * [simplify]: Extracting # 12 : cost 0 18.725 * * [simplify]: Extracting # 13 : cost 0 18.726 * * [simplify]: Extracting # 14 : cost 0 18.726 * * [simplify]: iteration 0 : 234 enodes (cost 1642 ) 18.836 * * [simplify]: Extracting # 0 : cost 0 18.837 * * [simplify]: Extracting # 1 : cost 0 18.839 * * [simplify]: Extracting # 2 : cost 0 18.840 * * [simplify]: Extracting # 3 : cost 0 18.841 * * [simplify]: Extracting # 4 : cost 0 18.843 * * [simplify]: Extracting # 5 : cost 0 18.844 * * [simplify]: iteration 1 : 555 enodes (cost 1507 ) 19.163 * * [simplify]: Extracting # 0 : cost 0 19.167 * * [simplify]: Extracting # 1 : cost 0 19.172 * * [simplify]: Extracting # 2 : cost 0 19.177 * * [simplify]: Extracting # 3 : cost 0 19.181 * * [simplify]: Extracting # 4 : cost 0 19.185 * * [simplify]: Extracting # 5 : cost 0 19.190 * * [simplify]: iteration 2 : 1700 enodes (cost 1401 ) 20.048 * * [simplify]: Extracting # 0 : cost 0 20.054 * * [simplify]: Extracting # 1 : cost 0 20.061 * * [simplify]: Extracting # 2 : cost 0 20.067 * * [simplify]: Extracting # 3 : cost 0 20.074 * * [simplify]: Extracting # 4 : cost 0 20.081 * * [simplify]: iteration done: 5000 enodes (cost 1380 ) 20.082 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (+ (* (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (log n)) (* 0.25 (pow k 2)))) (- (pow (* (* 2.0 PI) n) 0.5) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +nan.0)) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (- (+ (* k (- +nan.0 (* +nan.0 k))) +nan.0)) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) 20.083 * * * [progress]: adding candidates to table 20.825 * [progress]: [Phase 3 of 3] Extracting. 20.825 * * [regime]: Finding splitpoints for: (# # # # # # # #) 20.828 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 20.828 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 20.874 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 20.952 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 21.034 * * * [regime]: Found split indices: #