54.175 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.126 * * * [progress]: [2/2] Setting up program. 0.128 * [progress]: [Phase 2 of 3] Improving. 0.129 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.129 * * [simplify]: Extracting # 1 : cost 0 0.129 * * [simplify]: Extracting # 2 : cost 0 0.129 * * [simplify]: Extracting # 3 : cost 0 0.129 * * [simplify]: Extracting # 4 : cost 0 0.129 * * [simplify]: Extracting # 5 : cost 0 0.129 * * [simplify]: Extracting # 6 : cost 0 0.129 * * [simplify]: Extracting # 7 : cost 0 0.129 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: Extracting # 3 : cost 0 0.132 * * [simplify]: Extracting # 4 : cost 0 0.132 * * [simplify]: Extracting # 5 : cost 0 0.132 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.164 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.164 * * [simplify]: Extracting # 4 : cost 0 0.164 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.179 * * [simplify]: Extracting # 0 : cost 0 0.179 * * [simplify]: Extracting # 1 : cost 0 0.179 * * [simplify]: Extracting # 2 : cost 0 0.179 * * [simplify]: Extracting # 3 : cost 0 0.179 * * [simplify]: Extracting # 4 : cost 0 0.179 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.230 * * [simplify]: Extracting # 0 : cost 0 0.231 * * [simplify]: Extracting # 1 : cost 0 0.232 * * [simplify]: Extracting # 2 : cost 0 0.232 * * [simplify]: Extracting # 3 : cost 0 0.233 * * [simplify]: Extracting # 4 : cost 0 0.233 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.472 * * [simplify]: Extracting # 0 : cost 0 0.474 * * [simplify]: Extracting # 1 : cost 0 0.475 * * [simplify]: Extracting # 2 : cost 0 0.477 * * [simplify]: Extracting # 3 : cost 0 0.478 * * [simplify]: Extracting # 4 : cost 0 0.480 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 2.217 * * [simplify]: Extracting # 0 : cost 0 2.220 * * [simplify]: Extracting # 1 : cost 0 2.223 * * [simplify]: Extracting # 2 : cost 0 2.226 * * [simplify]: Extracting # 3 : cost 0 2.228 * * [simplify]: Extracting # 4 : cost 0 2.231 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 4.133 * * [simplify]: Extracting # 0 : cost 0 4.143 * * [simplify]: Extracting # 1 : cost 0 4.148 * * [simplify]: Extracting # 2 : cost 0 4.153 * * [simplify]: Extracting # 3 : cost 0 4.157 * * [simplify]: Extracting # 4 : cost 0 4.162 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.162 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.162 * * [progress]: iteration 1 / 4 4.162 * * * [progress]: picking best candidate 4.165 * * * * [pick]: Picked # 4.165 * * * [progress]: localizing error 4.189 * * * [progress]: generating rewritten candidates 4.189 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.281 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.355 * * * [progress]: generating series expansions 4.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.356 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.356 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.356 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.356 * [taylor]: Taking taylor expansion of 0.5 in k 4.356 * [backup-simplify]: Simplify 0.5 into 0.5 4.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.356 * [taylor]: Taking taylor expansion of 1.0 in k 4.356 * [backup-simplify]: Simplify 1.0 into 1.0 4.356 * [taylor]: Taking taylor expansion of k in k 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.356 * [taylor]: Taking taylor expansion of 2.0 in k 4.356 * [backup-simplify]: Simplify 2.0 into 2.0 4.356 * [taylor]: Taking taylor expansion of (* n PI) in k 4.356 * [taylor]: Taking taylor expansion of n in k 4.356 * [backup-simplify]: Simplify n into n 4.356 * [taylor]: Taking taylor expansion of PI in k 4.356 * [backup-simplify]: Simplify PI into PI 4.356 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.356 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.356 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.357 * [backup-simplify]: Simplify (- 0) into 0 4.357 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.357 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.357 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.357 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.357 * [taylor]: Taking taylor expansion of 0.5 in n 4.357 * [backup-simplify]: Simplify 0.5 into 0.5 4.357 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.357 * [taylor]: Taking taylor expansion of 1.0 in n 4.357 * [backup-simplify]: Simplify 1.0 into 1.0 4.357 * [taylor]: Taking taylor expansion of k in n 4.358 * [backup-simplify]: Simplify k into k 4.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.358 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.358 * [taylor]: Taking taylor expansion of 2.0 in n 4.358 * [backup-simplify]: Simplify 2.0 into 2.0 4.358 * [taylor]: Taking taylor expansion of (* n PI) in n 4.358 * [taylor]: Taking taylor expansion of n in n 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of PI in n 4.358 * [backup-simplify]: Simplify PI into PI 4.358 * [backup-simplify]: Simplify (* 0 PI) into 0 4.358 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.359 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.360 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.361 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.361 * [backup-simplify]: Simplify (- k) into (- k) 4.361 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.361 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.362 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.363 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.363 * [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))))) 4.364 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.364 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.364 * [taylor]: Taking taylor expansion of 0.5 in n 4.364 * [backup-simplify]: Simplify 0.5 into 0.5 4.364 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.364 * [taylor]: Taking taylor expansion of 1.0 in n 4.364 * [backup-simplify]: Simplify 1.0 into 1.0 4.364 * [taylor]: Taking taylor expansion of k in n 4.364 * [backup-simplify]: Simplify k into k 4.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.364 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.364 * [taylor]: Taking taylor expansion of 2.0 in n 4.364 * [backup-simplify]: Simplify 2.0 into 2.0 4.364 * [taylor]: Taking taylor expansion of (* n PI) in n 4.364 * [taylor]: Taking taylor expansion of n in n 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [taylor]: Taking taylor expansion of PI in n 4.364 * [backup-simplify]: Simplify PI into PI 4.364 * [backup-simplify]: Simplify (* 0 PI) into 0 4.364 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.365 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.366 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.367 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.367 * [backup-simplify]: Simplify (- k) into (- k) 4.367 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.367 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.369 * [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)))) 4.370 * [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))))) 4.370 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.370 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.370 * [taylor]: Taking taylor expansion of 0.5 in k 4.370 * [backup-simplify]: Simplify 0.5 into 0.5 4.370 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.370 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.370 * [taylor]: Taking taylor expansion of 1.0 in k 4.370 * [backup-simplify]: Simplify 1.0 into 1.0 4.370 * [taylor]: Taking taylor expansion of k in k 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.370 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.370 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.370 * [taylor]: Taking taylor expansion of 2.0 in k 4.370 * [backup-simplify]: Simplify 2.0 into 2.0 4.370 * [taylor]: Taking taylor expansion of PI in k 4.370 * [backup-simplify]: Simplify PI into PI 4.371 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.371 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.371 * [taylor]: Taking taylor expansion of (log n) in k 4.371 * [taylor]: Taking taylor expansion of n in k 4.371 * [backup-simplify]: Simplify n into n 4.371 * [backup-simplify]: Simplify (log n) into (log n) 4.372 * [backup-simplify]: Simplify (- 0) into 0 4.372 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.373 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.373 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.374 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 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)))) 4.375 * [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 4.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.378 * [backup-simplify]: Simplify (- 0) into 0 4.378 * [backup-simplify]: Simplify (+ 0 0) into 0 4.379 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.379 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.380 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.381 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.381 * [taylor]: Taking taylor expansion of 0 in k 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.385 * [backup-simplify]: Simplify (+ 0 0) into 0 4.385 * [backup-simplify]: Simplify (- 1) into -1 4.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.390 * [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)))) 4.393 * [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)))))) 4.397 * [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)))))) 4.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.399 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.403 * [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 4.404 * [backup-simplify]: Simplify (- 0) into 0 4.409 * [backup-simplify]: Simplify (+ 0 0) into 0 4.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.412 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.414 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.416 * [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 4.416 * [taylor]: Taking taylor expansion of 0 in k 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.421 * [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 4.423 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.424 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [backup-simplify]: Simplify (- 0) into 0 4.425 * [backup-simplify]: Simplify (+ 0 0) into 0 4.427 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.434 * [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)))))) 4.440 * [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)))))) 4.451 * [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)))))) 4.452 * [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)))) 4.452 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.452 * [taylor]: Taking taylor expansion of 0.5 in k 4.453 * [backup-simplify]: Simplify 0.5 into 0.5 4.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.453 * [taylor]: Taking taylor expansion of 1.0 in k 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.453 * [taylor]: Taking taylor expansion of k in k 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [backup-simplify]: Simplify (/ 1 1) into 1 4.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.453 * [taylor]: Taking taylor expansion of 2.0 in k 4.453 * [backup-simplify]: Simplify 2.0 into 2.0 4.453 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.453 * [taylor]: Taking taylor expansion of PI in k 4.453 * [backup-simplify]: Simplify PI into PI 4.453 * [taylor]: Taking taylor expansion of n in k 4.453 * [backup-simplify]: Simplify n into n 4.454 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.454 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.454 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.454 * [backup-simplify]: Simplify (- 1) into -1 4.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.455 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.455 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.455 * [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))))) 4.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.455 * [taylor]: Taking taylor expansion of 0.5 in n 4.455 * [backup-simplify]: Simplify 0.5 into 0.5 4.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.455 * [taylor]: Taking taylor expansion of 1.0 in n 4.455 * [backup-simplify]: Simplify 1.0 into 1.0 4.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.455 * [taylor]: Taking taylor expansion of k in n 4.455 * [backup-simplify]: Simplify k into k 4.455 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.455 * [taylor]: Taking taylor expansion of 2.0 in n 4.455 * [backup-simplify]: Simplify 2.0 into 2.0 4.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.455 * [taylor]: Taking taylor expansion of PI in n 4.455 * [backup-simplify]: Simplify PI into PI 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ PI 1) into PI 4.456 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.457 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.457 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.457 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.457 * [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)))) 4.459 * [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))))) 4.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.459 * [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 4.460 * [backup-simplify]: Simplify 2.0 into 2.0 4.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.460 * [taylor]: Taking taylor expansion of PI in n 4.460 * [backup-simplify]: Simplify PI into PI 4.460 * [taylor]: Taking taylor expansion of n in n 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (/ PI 1) into PI 4.460 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.461 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.461 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.461 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.461 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.463 * [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)))) 4.464 * [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))))) 4.464 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.464 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.464 * [taylor]: Taking taylor expansion of 0.5 in k 4.464 * [backup-simplify]: Simplify 0.5 into 0.5 4.464 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.464 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.464 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.464 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.464 * [taylor]: Taking taylor expansion of 2.0 in k 4.464 * [backup-simplify]: Simplify 2.0 into 2.0 4.464 * [taylor]: Taking taylor expansion of PI in k 4.464 * [backup-simplify]: Simplify PI into PI 4.465 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.465 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.465 * [taylor]: Taking taylor expansion of (log n) in k 4.465 * [taylor]: Taking taylor expansion of n in k 4.465 * [backup-simplify]: Simplify n into n 4.465 * [backup-simplify]: Simplify (log n) into (log n) 4.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.465 * [taylor]: Taking taylor expansion of 1.0 in k 4.465 * [backup-simplify]: Simplify 1.0 into 1.0 4.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.465 * [taylor]: Taking taylor expansion of k in k 4.465 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify 1 into 1 4.466 * [backup-simplify]: Simplify (/ 1 1) into 1 4.466 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.466 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.467 * [backup-simplify]: Simplify (- 1) into -1 4.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.468 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.468 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.469 * [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))))) 4.470 * [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))))) 4.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.471 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.472 * [backup-simplify]: Simplify (- 0) into 0 4.472 * [backup-simplify]: Simplify (+ 0 0) into 0 4.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.474 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.476 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.476 * [taylor]: Taking taylor expansion of 0 in k 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.479 * [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 4.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.479 * [backup-simplify]: Simplify (- 0) into 0 4.480 * [backup-simplify]: Simplify (+ 0 0) into 0 4.480 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.481 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.482 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.484 * [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 4.484 * [taylor]: Taking taylor expansion of 0 in k 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.489 * [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 4.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.490 * [backup-simplify]: Simplify (- 0) into 0 4.490 * [backup-simplify]: Simplify (+ 0 0) into 0 4.491 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.493 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.494 * [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 4.494 * [taylor]: Taking taylor expansion of 0 in k 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [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)))) 4.497 * [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))) 4.497 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.497 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.497 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.497 * [taylor]: Taking taylor expansion of 0.5 in k 4.497 * [backup-simplify]: Simplify 0.5 into 0.5 4.497 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.497 * [taylor]: Taking taylor expansion of k in k 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.498 * [backup-simplify]: Simplify (/ 1 1) into 1 4.498 * [taylor]: Taking taylor expansion of 1.0 in k 4.498 * [backup-simplify]: Simplify 1.0 into 1.0 4.498 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.498 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.498 * [taylor]: Taking taylor expansion of -2.0 in k 4.498 * [backup-simplify]: Simplify -2.0 into -2.0 4.498 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.498 * [taylor]: Taking taylor expansion of PI in k 4.498 * [backup-simplify]: Simplify PI into PI 4.498 * [taylor]: Taking taylor expansion of n in k 4.498 * [backup-simplify]: Simplify n into n 4.498 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.498 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.498 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.499 * [backup-simplify]: Simplify (+ 1 0) into 1 4.499 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.499 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.500 * [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)))))) 4.500 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.500 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.500 * [taylor]: Taking taylor expansion of 0.5 in n 4.500 * [backup-simplify]: Simplify 0.5 into 0.5 4.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.500 * [taylor]: Taking taylor expansion of k in n 4.500 * [backup-simplify]: Simplify k into k 4.500 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.500 * [taylor]: Taking taylor expansion of 1.0 in n 4.500 * [backup-simplify]: Simplify 1.0 into 1.0 4.500 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.500 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.500 * [taylor]: Taking taylor expansion of -2.0 in n 4.500 * [backup-simplify]: Simplify -2.0 into -2.0 4.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.500 * [taylor]: Taking taylor expansion of PI in n 4.500 * [backup-simplify]: Simplify PI into PI 4.500 * [taylor]: Taking taylor expansion of n in n 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify (/ PI 1) into PI 4.501 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.502 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.503 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.503 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.504 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.505 * [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)))) 4.507 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.507 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.507 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.507 * [taylor]: Taking taylor expansion of 0.5 in n 4.507 * [backup-simplify]: Simplify 0.5 into 0.5 4.507 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.507 * [taylor]: Taking taylor expansion of k in n 4.507 * [backup-simplify]: Simplify k into k 4.507 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.507 * [taylor]: Taking taylor expansion of 1.0 in n 4.507 * [backup-simplify]: Simplify 1.0 into 1.0 4.507 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.507 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.507 * [taylor]: Taking taylor expansion of -2.0 in n 4.507 * [backup-simplify]: Simplify -2.0 into -2.0 4.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.507 * [taylor]: Taking taylor expansion of PI in n 4.507 * [backup-simplify]: Simplify PI into PI 4.508 * [taylor]: Taking taylor expansion of n in n 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify 1 into 1 4.508 * [backup-simplify]: Simplify (/ PI 1) into PI 4.509 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.510 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.510 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.510 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.513 * [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)))) 4.514 * [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))))) 4.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.514 * [taylor]: Taking taylor expansion of 0.5 in k 4.514 * [backup-simplify]: Simplify 0.5 into 0.5 4.515 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.515 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.515 * [taylor]: Taking taylor expansion of k in k 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify 1 into 1 4.515 * [backup-simplify]: Simplify (/ 1 1) into 1 4.515 * [taylor]: Taking taylor expansion of 1.0 in k 4.515 * [backup-simplify]: Simplify 1.0 into 1.0 4.515 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.515 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.515 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.515 * [taylor]: Taking taylor expansion of -2.0 in k 4.515 * [backup-simplify]: Simplify -2.0 into -2.0 4.515 * [taylor]: Taking taylor expansion of PI in k 4.515 * [backup-simplify]: Simplify PI into PI 4.516 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.517 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.517 * [taylor]: Taking taylor expansion of (log n) in k 4.517 * [taylor]: Taking taylor expansion of n in k 4.517 * [backup-simplify]: Simplify n into n 4.517 * [backup-simplify]: Simplify (log n) into (log n) 4.518 * [backup-simplify]: Simplify (+ 1 0) into 1 4.518 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.519 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.520 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.521 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.522 * [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))))) 4.524 * [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))))) 4.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 0) into 0 4.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.530 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.531 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.533 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.533 * [taylor]: Taking taylor expansion of 0 in k 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.536 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.544 * [backup-simplify]: Simplify (+ 0 0) into 0 4.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.547 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.548 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.551 * [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 4.551 * [taylor]: Taking taylor expansion of 0 in k 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.560 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.561 * [backup-simplify]: Simplify (+ 0 0) into 0 4.562 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.566 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.569 * [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 4.569 * [taylor]: Taking taylor expansion of 0 in k 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.570 * [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)))))) 4.571 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.571 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.571 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.571 * [taylor]: Taking taylor expansion of 2.0 in n 4.571 * [backup-simplify]: Simplify 2.0 into 2.0 4.571 * [taylor]: Taking taylor expansion of (* n PI) in n 4.571 * [taylor]: Taking taylor expansion of n in n 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.571 * [taylor]: Taking taylor expansion of PI in n 4.571 * [backup-simplify]: Simplify PI into PI 4.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.572 * [taylor]: Taking taylor expansion of 2.0 in n 4.572 * [backup-simplify]: Simplify 2.0 into 2.0 4.572 * [taylor]: Taking taylor expansion of (* n PI) in n 4.572 * [taylor]: Taking taylor expansion of n in n 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify 1 into 1 4.572 * [taylor]: Taking taylor expansion of PI in n 4.572 * [backup-simplify]: Simplify PI into PI 4.572 * [backup-simplify]: Simplify (* 0 PI) into 0 4.573 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.573 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.576 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.577 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.582 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.585 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.588 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.592 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.596 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.597 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.597 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.597 * [taylor]: Taking taylor expansion of 2.0 in n 4.597 * [backup-simplify]: Simplify 2.0 into 2.0 4.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.597 * [taylor]: Taking taylor expansion of PI in n 4.597 * [backup-simplify]: Simplify PI into PI 4.597 * [taylor]: Taking taylor expansion of n in n 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (/ PI 1) into PI 4.598 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.598 * [taylor]: Taking taylor expansion of 2.0 in n 4.598 * [backup-simplify]: Simplify 2.0 into 2.0 4.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.598 * [taylor]: Taking taylor expansion of PI in n 4.598 * [backup-simplify]: Simplify PI into PI 4.598 * [taylor]: Taking taylor expansion of n in n 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (/ PI 1) into PI 4.599 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.600 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.601 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.606 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.606 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.609 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.612 * [backup-simplify]: Simplify 0 into 0 4.613 * [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 4.615 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.616 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.616 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.616 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.616 * [taylor]: Taking taylor expansion of -2.0 in n 4.616 * [backup-simplify]: Simplify -2.0 into -2.0 4.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.616 * [taylor]: Taking taylor expansion of PI in n 4.616 * [backup-simplify]: Simplify PI into PI 4.616 * [taylor]: Taking taylor expansion of n in n 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.617 * [backup-simplify]: Simplify (/ PI 1) into PI 4.617 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.617 * [taylor]: Taking taylor expansion of -2.0 in n 4.617 * [backup-simplify]: Simplify -2.0 into -2.0 4.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.617 * [taylor]: Taking taylor expansion of PI in n 4.617 * [backup-simplify]: Simplify PI into PI 4.617 * [taylor]: Taking taylor expansion of n in n 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ PI 1) into PI 4.618 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.619 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.626 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.629 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.633 * [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 4.635 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.635 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.636 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.636 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.636 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.636 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.636 * [taylor]: Taking taylor expansion of 1.0 in k 4.636 * [backup-simplify]: Simplify 1.0 into 1.0 4.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.636 * [taylor]: Taking taylor expansion of k in k 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.637 * [backup-simplify]: Simplify (sqrt 0) into 0 4.639 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.639 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.639 * [taylor]: Taking taylor expansion of 1.0 in k 4.639 * [backup-simplify]: Simplify 1.0 into 1.0 4.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.639 * [taylor]: Taking taylor expansion of k in k 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.640 * [backup-simplify]: Simplify (/ 1 1) into 1 4.640 * [backup-simplify]: Simplify (sqrt 0) into 0 4.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.642 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.642 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.651 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.652 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.660 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.660 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.662 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.662 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.662 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.662 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.662 * [taylor]: Taking taylor expansion of 1.0 in k 4.662 * [backup-simplify]: Simplify 1.0 into 1.0 4.662 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.662 * [taylor]: Taking taylor expansion of k in k 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (sqrt 0) into 0 4.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.664 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.664 * [taylor]: Taking taylor expansion of 1.0 in k 4.664 * [backup-simplify]: Simplify 1.0 into 1.0 4.664 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.664 * [taylor]: Taking taylor expansion of k in k 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify (sqrt 0) into 0 4.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.666 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.668 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.672 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.674 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.674 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.681 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.681 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.683 * [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)))))))) 4.683 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.683 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.683 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.683 * [taylor]: Taking taylor expansion of 1.0 in k 4.683 * [backup-simplify]: Simplify 1.0 into 1.0 4.683 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.683 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.683 * [taylor]: Taking taylor expansion of -1 in k 4.683 * [backup-simplify]: Simplify -1 into -1 4.683 * [taylor]: Taking taylor expansion of k in k 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (/ -1 1) into -1 4.684 * [backup-simplify]: Simplify (sqrt 0) into 0 4.685 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.685 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.685 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.685 * [taylor]: Taking taylor expansion of 1.0 in k 4.685 * [backup-simplify]: Simplify 1.0 into 1.0 4.685 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.685 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.685 * [taylor]: Taking taylor expansion of -1 in k 4.685 * [backup-simplify]: Simplify -1 into -1 4.685 * [taylor]: Taking taylor expansion of k in k 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (/ -1 1) into -1 4.686 * [backup-simplify]: Simplify (sqrt 0) into 0 4.686 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.687 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.691 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.691 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.700 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.701 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.701 * [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))))) 4.702 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.702 * [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))))) 4.702 * [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 4.703 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.703 * [backup-simplify]: Simplify 1.0 into 1.0 4.703 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.703 * [taylor]: Taking taylor expansion of k in n 4.703 * [backup-simplify]: Simplify k into k 4.703 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.703 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.703 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.703 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.703 * [taylor]: Taking taylor expansion of 0.5 in n 4.703 * [backup-simplify]: Simplify 0.5 into 0.5 4.703 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.703 * [backup-simplify]: Simplify 1.0 into 1.0 4.703 * [taylor]: Taking taylor expansion of k in n 4.703 * [backup-simplify]: Simplify k into k 4.703 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.703 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.703 * [taylor]: Taking taylor expansion of 2.0 in n 4.703 * [backup-simplify]: Simplify 2.0 into 2.0 4.703 * [taylor]: Taking taylor expansion of (* n PI) in n 4.703 * [taylor]: Taking taylor expansion of n in n 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [taylor]: Taking taylor expansion of PI in n 4.703 * [backup-simplify]: Simplify PI into PI 4.704 * [backup-simplify]: Simplify (* 0 PI) into 0 4.704 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.705 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.706 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.707 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.707 * [backup-simplify]: Simplify (- k) into (- k) 4.707 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.707 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.708 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.709 * [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)))) 4.709 * [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))))) 4.709 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.709 * [taylor]: Taking taylor expansion of 1.0 in k 4.709 * [backup-simplify]: Simplify 1.0 into 1.0 4.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.709 * [taylor]: Taking taylor expansion of k in k 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [backup-simplify]: Simplify (sqrt 0) into 0 4.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.711 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.711 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.711 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.711 * [taylor]: Taking taylor expansion of 0.5 in k 4.711 * [backup-simplify]: Simplify 0.5 into 0.5 4.711 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.711 * [taylor]: Taking taylor expansion of 1.0 in k 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of k in k 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.711 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.711 * [taylor]: Taking taylor expansion of 2.0 in k 4.711 * [backup-simplify]: Simplify 2.0 into 2.0 4.711 * [taylor]: Taking taylor expansion of (* n PI) in k 4.711 * [taylor]: Taking taylor expansion of n in k 4.711 * [backup-simplify]: Simplify n into n 4.711 * [taylor]: Taking taylor expansion of PI in k 4.711 * [backup-simplify]: Simplify PI into PI 4.711 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.711 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.711 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.712 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.712 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.712 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.712 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.712 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.712 * [taylor]: Taking taylor expansion of 1.0 in k 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 k 4.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.712 * [taylor]: Taking taylor expansion of k in k 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [backup-simplify]: Simplify (sqrt 0) into 0 4.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.714 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.714 * [taylor]: Taking taylor expansion of 0.5 in k 4.714 * [backup-simplify]: Simplify 0.5 into 0.5 4.714 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.714 * [taylor]: Taking taylor expansion of 1.0 in k 4.714 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [taylor]: Taking taylor expansion of k in k 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.714 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.714 * [taylor]: Taking taylor expansion of 2.0 in k 4.714 * [backup-simplify]: Simplify 2.0 into 2.0 4.714 * [taylor]: Taking taylor expansion of (* n PI) in k 4.714 * [taylor]: Taking taylor expansion of n in k 4.714 * [backup-simplify]: Simplify n into n 4.714 * [taylor]: Taking taylor expansion of PI in k 4.714 * [backup-simplify]: Simplify PI into PI 4.714 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.714 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.714 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.715 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.715 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.715 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.715 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.716 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.716 * [taylor]: Taking taylor expansion of 0 in n 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.716 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.717 * [backup-simplify]: Simplify (- 1) into -1 4.717 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.718 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.719 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.720 * [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))) 4.722 * [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))) 4.724 * [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))) 4.724 * [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 4.724 * [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 4.724 * [taylor]: Taking taylor expansion of +nan.0 in n 4.724 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.724 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.724 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.724 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.724 * [taylor]: Taking taylor expansion of 0.5 in n 4.724 * [backup-simplify]: Simplify 0.5 into 0.5 4.724 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.724 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.724 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.724 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.724 * [taylor]: Taking taylor expansion of 1.0 in n 4.724 * [backup-simplify]: Simplify 1.0 into 1.0 4.724 * [taylor]: Taking taylor expansion of (log PI) in n 4.724 * [taylor]: Taking taylor expansion of PI in n 4.724 * [backup-simplify]: Simplify PI into PI 4.725 * [backup-simplify]: Simplify (log PI) into (log PI) 4.726 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.728 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.728 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.728 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.728 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.728 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.728 * [taylor]: Taking taylor expansion of 1.0 in n 4.728 * [backup-simplify]: Simplify 1.0 into 1.0 4.728 * [taylor]: Taking taylor expansion of (log n) in n 4.728 * [taylor]: Taking taylor expansion of n in n 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (log 1) into 0 4.729 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.729 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.729 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.729 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.730 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.730 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.730 * [taylor]: Taking taylor expansion of 1.0 in n 4.730 * [backup-simplify]: Simplify 1.0 into 1.0 4.730 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.730 * [taylor]: Taking taylor expansion of 2.0 in n 4.730 * [backup-simplify]: Simplify 2.0 into 2.0 4.730 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.731 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.733 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.734 * [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) 4.735 * [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) 4.737 * [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)) 4.738 * [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))) 4.740 * [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) 4.741 * [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)) 4.743 * [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))) 4.744 * [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))) 4.744 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.748 * [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 4.748 * [backup-simplify]: Simplify (- 0) into 0 4.749 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.751 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.752 * [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))) 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.756 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.760 * [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)))))))) 4.766 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 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 4.767 * [taylor]: Taking taylor expansion of PI in n 4.767 * [backup-simplify]: Simplify PI into PI 4.767 * [backup-simplify]: Simplify (log PI) into (log PI) 4.768 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.770 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.770 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.770 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.770 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.770 * [taylor]: Taking taylor expansion of 1.0 in n 4.770 * [backup-simplify]: Simplify 1.0 into 1.0 4.770 * [taylor]: Taking taylor expansion of (log n) in n 4.770 * [taylor]: Taking taylor expansion of n in n 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (log 1) into 0 4.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.771 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.771 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.771 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.771 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.771 * [taylor]: Taking taylor expansion of 1.0 in n 4.771 * [backup-simplify]: Simplify 1.0 into 1.0 4.771 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.771 * [taylor]: Taking taylor expansion of 2.0 in n 4.771 * [backup-simplify]: Simplify 2.0 into 2.0 4.772 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.773 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.774 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.775 * [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) 4.777 * [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) 4.778 * [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)) 4.780 * [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))) 4.781 * [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) 4.781 * [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 4.781 * [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 4.781 * [taylor]: Taking taylor expansion of +nan.0 in n 4.781 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.781 * [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 4.782 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.782 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.782 * [taylor]: Taking taylor expansion of 0.5 in n 4.782 * [backup-simplify]: Simplify 0.5 into 0.5 4.782 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.782 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.782 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.782 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.782 * [taylor]: Taking taylor expansion of 1.0 in n 4.782 * [backup-simplify]: Simplify 1.0 into 1.0 4.782 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.782 * [taylor]: Taking taylor expansion of 2.0 in n 4.782 * [backup-simplify]: Simplify 2.0 into 2.0 4.783 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.784 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.785 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.785 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.785 * [taylor]: Taking taylor expansion of 1.0 in n 4.785 * [backup-simplify]: Simplify 1.0 into 1.0 4.785 * [taylor]: Taking taylor expansion of (log PI) in n 4.785 * [taylor]: Taking taylor expansion of PI in n 4.785 * [backup-simplify]: Simplify PI into PI 4.786 * [backup-simplify]: Simplify (log PI) into (log PI) 4.787 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.789 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.789 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.789 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.789 * [taylor]: Taking taylor expansion of 1.0 in n 4.789 * [backup-simplify]: Simplify 1.0 into 1.0 4.789 * [taylor]: Taking taylor expansion of (log n) in n 4.789 * [taylor]: Taking taylor expansion of n in n 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (log 1) into 0 4.790 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.790 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.790 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.791 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.792 * [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) 4.793 * [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)) 4.795 * [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))) 4.796 * [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) 4.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.796 * [taylor]: Taking taylor expansion of 2.0 in n 4.796 * [backup-simplify]: Simplify 2.0 into 2.0 4.796 * [taylor]: Taking taylor expansion of (* n PI) in n 4.797 * [taylor]: Taking taylor expansion of n in n 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [taylor]: Taking taylor expansion of PI in n 4.797 * [backup-simplify]: Simplify PI into PI 4.797 * [backup-simplify]: Simplify (* 0 PI) into 0 4.798 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.801 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.802 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.803 * [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)) 4.805 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.807 * [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)) 4.810 * [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))) 4.812 * [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)))))) 4.815 * [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)))))))) 4.819 * [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)))))))) 4.822 * [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)))))))) 4.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.825 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.826 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.827 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.827 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.828 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.829 * [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 4.833 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.834 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.836 * [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 4.840 * [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 4.844 * [backup-simplify]: Simplify (- 0) into 0 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.849 * [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))) 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.859 * [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)))))))) 4.867 * [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)))))))) 4.867 * [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 4.867 * [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 4.867 * [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 4.867 * [taylor]: Taking taylor expansion of +nan.0 in n 4.867 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.867 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.867 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.868 * [taylor]: Taking taylor expansion of 0.5 in n 4.868 * [backup-simplify]: Simplify 0.5 into 0.5 4.868 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.868 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.868 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.868 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.868 * [taylor]: Taking taylor expansion of 1.0 in n 4.868 * [backup-simplify]: Simplify 1.0 into 1.0 4.868 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.868 * [taylor]: Taking taylor expansion of 2.0 in n 4.868 * [backup-simplify]: Simplify 2.0 into 2.0 4.868 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.869 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.870 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.870 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.870 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.870 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.870 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.870 * [taylor]: Taking taylor expansion of 1.0 in n 4.870 * [backup-simplify]: Simplify 1.0 into 1.0 4.870 * [taylor]: Taking taylor expansion of (log n) in n 4.870 * [taylor]: Taking taylor expansion of n in n 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (log 1) into 0 4.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.871 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.871 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.871 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.871 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.871 * [taylor]: Taking taylor expansion of 1.0 in n 4.871 * [backup-simplify]: Simplify 1.0 into 1.0 4.871 * [taylor]: Taking taylor expansion of (log PI) in n 4.871 * [taylor]: Taking taylor expansion of PI in n 4.871 * [backup-simplify]: Simplify PI into PI 4.871 * [backup-simplify]: Simplify (log PI) into (log PI) 4.872 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.873 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.873 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.874 * [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) 4.875 * [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)) 4.876 * [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))) 4.877 * [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) 4.877 * [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 4.877 * [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 4.877 * [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 4.877 * [taylor]: Taking taylor expansion of +nan.0 in n 4.877 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.877 * [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 4.877 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.877 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.877 * [taylor]: Taking taylor expansion of 0.5 in n 4.877 * [backup-simplify]: Simplify 0.5 into 0.5 4.877 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.877 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.877 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.877 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.877 * [taylor]: Taking taylor expansion of 1.0 in n 4.877 * [backup-simplify]: Simplify 1.0 into 1.0 4.877 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.877 * [taylor]: Taking taylor expansion of 2.0 in n 4.877 * [backup-simplify]: Simplify 2.0 into 2.0 4.878 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.878 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.879 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.879 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.879 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.879 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.879 * [taylor]: Taking taylor expansion of 1.0 in n 4.879 * [backup-simplify]: Simplify 1.0 into 1.0 4.879 * [taylor]: Taking taylor expansion of (log PI) in n 4.879 * [taylor]: Taking taylor expansion of PI in n 4.879 * [backup-simplify]: Simplify PI into PI 4.880 * [backup-simplify]: Simplify (log PI) into (log PI) 4.880 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.881 * [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 4.882 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.882 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.882 * [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) 4.884 * [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))) 4.885 * [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 4.889 * [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) 4.893 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.895 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.895 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.895 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.895 * [taylor]: Taking taylor expansion of 1.0 in n 4.895 * [backup-simplify]: Simplify 1.0 into 1.0 4.895 * [taylor]: Taking taylor expansion of (log n) in n 4.895 * [taylor]: Taking taylor expansion of n in n 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (log 1) into 0 4.896 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.896 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.896 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.897 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.898 * [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) 4.899 * [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)) 4.901 * [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))) 4.902 * [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) 4.902 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.902 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.902 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.902 * [taylor]: Taking taylor expansion of 2.0 in n 4.902 * [backup-simplify]: Simplify 2.0 into 2.0 4.902 * [taylor]: Taking taylor expansion of (* n PI) in n 4.902 * [taylor]: Taking taylor expansion of n in n 4.902 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [taylor]: Taking taylor expansion of PI in n 4.903 * [backup-simplify]: Simplify PI into PI 4.903 * [backup-simplify]: Simplify (* 0 PI) into 0 4.904 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.907 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.907 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.909 * [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)) 4.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.912 * [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)) 4.913 * [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)) 4.916 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.918 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 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)) 4.920 * [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))) 4.921 * [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)))))))) 4.928 * [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)))))))))))) 4.938 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (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)))))))))))) 4.960 * [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)))))))))))))) 4.971 * [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)))))))))))))) 4.981 * [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)))))))))))))) 5.000 * [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)))))))))))))))))))))) 5.001 * [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)))))) 5.001 * [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 5.002 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.002 * [taylor]: Taking taylor expansion of 1.0 in n 5.002 * [backup-simplify]: Simplify 1.0 into 1.0 5.002 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.002 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.002 * [taylor]: Taking taylor expansion of k in n 5.002 * [backup-simplify]: Simplify k into k 5.002 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.002 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.002 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.002 * [taylor]: Taking taylor expansion of 0.5 in n 5.002 * [backup-simplify]: Simplify 0.5 into 0.5 5.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.002 * [taylor]: Taking taylor expansion of 1.0 in n 5.002 * [backup-simplify]: Simplify 1.0 into 1.0 5.002 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.002 * [taylor]: Taking taylor expansion of k in n 5.002 * [backup-simplify]: Simplify k into k 5.002 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.002 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.002 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.002 * [taylor]: Taking taylor expansion of 2.0 in n 5.002 * [backup-simplify]: Simplify 2.0 into 2.0 5.002 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.003 * [taylor]: Taking taylor expansion of PI in n 5.003 * [backup-simplify]: Simplify PI into PI 5.003 * [taylor]: Taking taylor expansion of n in n 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (/ PI 1) into PI 5.004 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.005 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.005 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.005 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.005 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.006 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.008 * [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)))) 5.009 * [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))))) 5.009 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.009 * [taylor]: Taking taylor expansion of 1.0 in k 5.009 * [backup-simplify]: Simplify 1.0 into 1.0 5.009 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.009 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.009 * [taylor]: Taking taylor expansion of k in k 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.010 * [backup-simplify]: Simplify (sqrt 0) into 0 5.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.011 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.011 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.011 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.011 * [taylor]: Taking taylor expansion of 0.5 in k 5.011 * [backup-simplify]: Simplify 0.5 into 0.5 5.011 * [taylor]: Taking taylor expansion of (- 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 (/ 1 k) in k 5.011 * [taylor]: Taking taylor expansion of k in k 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (/ 1 1) into 1 5.012 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.012 * [taylor]: Taking taylor expansion of 2.0 in k 5.012 * [backup-simplify]: Simplify 2.0 into 2.0 5.012 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.012 * [taylor]: Taking taylor expansion of PI in k 5.012 * [backup-simplify]: Simplify PI into PI 5.012 * [taylor]: Taking taylor expansion of n in k 5.013 * [backup-simplify]: Simplify n into n 5.013 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.013 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.013 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.013 * [backup-simplify]: Simplify (- 1) into -1 5.014 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.014 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.014 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.014 * [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))))) 5.015 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.015 * [taylor]: Taking taylor expansion of 1.0 in k 5.015 * [backup-simplify]: Simplify 1.0 into 1.0 5.015 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.015 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.015 * [taylor]: Taking taylor expansion of k in k 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [backup-simplify]: Simplify (sqrt 0) into 0 5.017 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.017 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.017 * [taylor]: Taking taylor expansion of 0.5 in k 5.017 * [backup-simplify]: Simplify 0.5 into 0.5 5.017 * [taylor]: Taking taylor expansion of (- 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 (/ 1 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 5.017 * [backup-simplify]: Simplify (/ 1 1) into 1 5.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.017 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.017 * [taylor]: Taking taylor expansion of 2.0 in k 5.018 * [backup-simplify]: Simplify 2.0 into 2.0 5.018 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.018 * [taylor]: Taking taylor expansion of PI in k 5.018 * [backup-simplify]: Simplify PI into PI 5.018 * [taylor]: Taking taylor expansion of n in k 5.018 * [backup-simplify]: Simplify n into n 5.018 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.018 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.018 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.018 * [backup-simplify]: Simplify (- 1) into -1 5.019 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.019 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.019 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.020 * [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))))) 5.020 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 5.021 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.021 * [taylor]: Taking taylor expansion of 0 in n 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [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))))))) 5.022 * [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))))))) 5.022 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.022 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.022 * [taylor]: Taking taylor expansion of +nan.0 in n 5.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.022 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.022 * [taylor]: Taking taylor expansion of 0.5 in n 5.022 * [backup-simplify]: Simplify 0.5 into 0.5 5.022 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.022 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.022 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.022 * [taylor]: Taking taylor expansion of 2.0 in n 5.022 * [backup-simplify]: Simplify 2.0 into 2.0 5.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.022 * [taylor]: Taking taylor expansion of PI in n 5.022 * [backup-simplify]: Simplify PI into PI 5.022 * [taylor]: Taking taylor expansion of n in n 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (/ PI 1) into PI 5.023 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.024 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.025 * [taylor]: Taking taylor expansion of 1.0 in n 5.025 * [backup-simplify]: Simplify 1.0 into 1.0 5.025 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.025 * [taylor]: Taking taylor expansion of k in n 5.025 * [backup-simplify]: Simplify k into k 5.025 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.026 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.026 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.028 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.029 * [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)))) 5.030 * [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))))) 5.032 * [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)))))) 5.033 * [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))))))) 5.034 * [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))))))) 5.035 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.039 * [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))))))) 5.039 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.039 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.039 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.039 * [taylor]: Taking taylor expansion of +nan.0 in n 5.039 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.039 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.039 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.040 * [taylor]: Taking taylor expansion of 0.5 in n 5.040 * [backup-simplify]: Simplify 0.5 into 0.5 5.040 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.040 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.040 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.040 * [taylor]: Taking taylor expansion of 2.0 in n 5.040 * [backup-simplify]: Simplify 2.0 into 2.0 5.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.040 * [taylor]: Taking taylor expansion of PI in n 5.040 * [backup-simplify]: Simplify PI into PI 5.040 * [taylor]: Taking taylor expansion of n in n 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [backup-simplify]: Simplify (/ PI 1) into PI 5.040 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.041 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.041 * [taylor]: Taking taylor expansion of 1.0 in n 5.041 * [backup-simplify]: Simplify 1.0 into 1.0 5.041 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.041 * [taylor]: Taking taylor expansion of k in n 5.041 * [backup-simplify]: Simplify k into k 5.041 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.042 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.042 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.043 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.043 * [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)))) 5.044 * [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))))) 5.045 * [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)))))) 5.046 * [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))))))) 5.047 * [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))))))) 5.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.048 * [backup-simplify]: Simplify (- 0) into 0 5.048 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.051 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.052 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 5.053 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.054 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 5.054 * [backup-simplify]: Simplify (- 0) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.057 * [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))))))) 5.058 * [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))))))) 5.058 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.058 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.058 * [taylor]: Taking taylor expansion of +nan.0 in n 5.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.058 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.058 * [taylor]: Taking taylor expansion of 0.5 in n 5.058 * [backup-simplify]: Simplify 0.5 into 0.5 5.058 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.058 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.058 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.058 * [taylor]: Taking taylor expansion of 2.0 in n 5.058 * [backup-simplify]: Simplify 2.0 into 2.0 5.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.058 * [taylor]: Taking taylor expansion of PI in n 5.058 * [backup-simplify]: Simplify PI into PI 5.058 * [taylor]: Taking taylor expansion of n in n 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (/ PI 1) into PI 5.059 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.060 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.060 * [taylor]: Taking taylor expansion of 1.0 in n 5.060 * [backup-simplify]: Simplify 1.0 into 1.0 5.060 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.060 * [taylor]: Taking taylor expansion of k in n 5.060 * [backup-simplify]: Simplify k into k 5.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.061 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.061 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.062 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.062 * [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)))) 5.066 * [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))))) 5.067 * [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)))))) 5.068 * [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))))))) 5.069 * [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))))))) 5.072 * [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)))))))) 5.073 * [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)))) 5.073 * [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 5.073 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.073 * [taylor]: Taking taylor expansion of 1.0 in n 5.073 * [backup-simplify]: Simplify 1.0 into 1.0 5.073 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.073 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.073 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.073 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.073 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.073 * [taylor]: Taking taylor expansion of 0.5 in n 5.073 * [backup-simplify]: Simplify 0.5 into 0.5 5.073 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.073 * [taylor]: Taking taylor expansion of k in n 5.073 * [backup-simplify]: Simplify k into k 5.073 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.073 * [taylor]: Taking taylor expansion of 1.0 in n 5.073 * [backup-simplify]: Simplify 1.0 into 1.0 5.073 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.073 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.073 * [taylor]: Taking taylor expansion of -2.0 in n 5.073 * [backup-simplify]: Simplify -2.0 into -2.0 5.073 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.073 * [taylor]: Taking taylor expansion of PI in n 5.073 * [backup-simplify]: Simplify PI into PI 5.073 * [taylor]: Taking taylor expansion of n in n 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ PI 1) into PI 5.074 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.074 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.074 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.075 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.076 * [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)))) 5.077 * [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))))) 5.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.077 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.077 * [taylor]: Taking taylor expansion of -1 in n 5.077 * [backup-simplify]: Simplify -1 into -1 5.077 * [taylor]: Taking taylor expansion of k in n 5.077 * [backup-simplify]: Simplify k into k 5.077 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.077 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.077 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.078 * [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))) 5.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.078 * [taylor]: Taking taylor expansion of 1.0 in k 5.078 * [backup-simplify]: Simplify 1.0 into 1.0 5.078 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.078 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.079 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.079 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.079 * [taylor]: Taking taylor expansion of 0.5 in k 5.079 * [backup-simplify]: Simplify 0.5 into 0.5 5.079 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.079 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.079 * [taylor]: Taking taylor expansion of k in k 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (/ 1 1) into 1 5.079 * [taylor]: Taking taylor expansion of 1.0 in k 5.079 * [backup-simplify]: Simplify 1.0 into 1.0 5.079 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.079 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.079 * [taylor]: Taking taylor expansion of -2.0 in k 5.079 * [backup-simplify]: Simplify -2.0 into -2.0 5.079 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.079 * [taylor]: Taking taylor expansion of PI in k 5.079 * [backup-simplify]: Simplify PI into PI 5.079 * [taylor]: Taking taylor expansion of n in k 5.079 * [backup-simplify]: Simplify n into n 5.079 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.079 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.079 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.080 * [backup-simplify]: Simplify (+ 1 0) into 1 5.080 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.080 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.080 * [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)))))) 5.080 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.080 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.080 * [taylor]: Taking taylor expansion of -1 in k 5.080 * [backup-simplify]: Simplify -1 into -1 5.080 * [taylor]: Taking taylor expansion of k in k 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (/ -1 1) into -1 5.081 * [backup-simplify]: Simplify (sqrt 0) into 0 5.082 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.082 * [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))))))) 5.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.082 * [taylor]: Taking taylor expansion of 1.0 in k 5.082 * [backup-simplify]: Simplify 1.0 into 1.0 5.082 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.082 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.082 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.082 * [taylor]: Taking taylor expansion of 0.5 in k 5.082 * [backup-simplify]: Simplify 0.5 into 0.5 5.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.082 * [taylor]: Taking taylor expansion of k in k 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (/ 1 1) into 1 5.082 * [taylor]: Taking taylor expansion of 1.0 in k 5.082 * [backup-simplify]: Simplify 1.0 into 1.0 5.082 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.082 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.082 * [taylor]: Taking taylor expansion of -2.0 in k 5.082 * [backup-simplify]: Simplify -2.0 into -2.0 5.082 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.082 * [taylor]: Taking taylor expansion of PI in k 5.082 * [backup-simplify]: Simplify PI into PI 5.082 * [taylor]: Taking taylor expansion of n in k 5.083 * [backup-simplify]: Simplify n into n 5.083 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.083 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.083 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.083 * [backup-simplify]: Simplify (+ 1 0) into 1 5.084 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.084 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.084 * [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)))))) 5.084 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.084 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.084 * [taylor]: Taking taylor expansion of -1 in k 5.084 * [backup-simplify]: Simplify -1 into -1 5.084 * [taylor]: Taking taylor expansion of k in k 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (/ -1 1) into -1 5.085 * [backup-simplify]: Simplify (sqrt 0) into 0 5.087 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.087 * [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))))))) 5.087 * [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))))))) 5.087 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.087 * [taylor]: Taking taylor expansion of +nan.0 in n 5.087 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.088 * [taylor]: Taking taylor expansion of 0.5 in n 5.088 * [backup-simplify]: Simplify 0.5 into 0.5 5.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.088 * [taylor]: Taking taylor expansion of k in n 5.088 * [backup-simplify]: Simplify k into k 5.088 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.088 * [taylor]: Taking taylor expansion of 1.0 in n 5.088 * [backup-simplify]: Simplify 1.0 into 1.0 5.088 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.088 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.088 * [taylor]: Taking taylor expansion of -2.0 in n 5.088 * [backup-simplify]: Simplify -2.0 into -2.0 5.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.088 * [taylor]: Taking taylor expansion of PI in n 5.088 * [backup-simplify]: Simplify PI into PI 5.088 * [taylor]: Taking taylor expansion of n in n 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (/ PI 1) into PI 5.089 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.090 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.090 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.092 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.093 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.094 * [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)))) 5.096 * [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))))) 5.097 * [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)))))) 5.098 * [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)))))) 5.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.104 * [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)))))))) 5.104 * [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)))))))) 5.104 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.104 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.105 * [taylor]: Taking taylor expansion of +nan.0 in n 5.105 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.105 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.105 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.105 * [taylor]: Taking taylor expansion of 0.5 in n 5.105 * [backup-simplify]: Simplify 0.5 into 0.5 5.105 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.105 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.105 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.105 * [taylor]: Taking taylor expansion of k in n 5.105 * [backup-simplify]: Simplify k into k 5.105 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.105 * [taylor]: Taking taylor expansion of 1.0 in n 5.105 * [backup-simplify]: Simplify 1.0 into 1.0 5.105 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.105 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.105 * [taylor]: Taking taylor expansion of -2.0 in n 5.105 * [backup-simplify]: Simplify -2.0 into -2.0 5.105 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.105 * [taylor]: Taking taylor expansion of PI in n 5.105 * [backup-simplify]: Simplify PI into PI 5.105 * [taylor]: Taking taylor expansion of n in n 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (/ PI 1) into PI 5.106 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.107 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.108 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.110 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.112 * [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)))) 5.113 * [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))))) 5.115 * [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)))))) 5.116 * [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))))))) 5.117 * [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))))))) 5.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.122 * [backup-simplify]: Simplify (+ 0 0) into 0 5.123 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.125 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 5.127 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.129 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.133 * [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)))))))) 5.133 * [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)))))))) 5.133 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.133 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.133 * [taylor]: Taking taylor expansion of +nan.0 in n 5.133 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.133 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.133 * [taylor]: Taking taylor expansion of 0.5 in n 5.133 * [backup-simplify]: Simplify 0.5 into 0.5 5.133 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.133 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.133 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.133 * [taylor]: Taking taylor expansion of k in n 5.134 * [backup-simplify]: Simplify k into k 5.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.134 * [taylor]: Taking taylor expansion of 1.0 in n 5.134 * [backup-simplify]: Simplify 1.0 into 1.0 5.134 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.134 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.134 * [taylor]: Taking taylor expansion of -2.0 in n 5.134 * [backup-simplify]: Simplify -2.0 into -2.0 5.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.134 * [taylor]: Taking taylor expansion of PI in n 5.134 * [backup-simplify]: Simplify PI into PI 5.134 * [taylor]: Taking taylor expansion of n in n 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (/ PI 1) into PI 5.134 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.135 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.135 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.136 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.137 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.137 * [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)))) 5.138 * [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))))) 5.139 * [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)))))) 5.140 * [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))))))) 5.141 * [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))))))) 5.143 * [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)))))))))))) 5.144 * * * [progress]: simplifying candidates 5.146 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) 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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 (/ 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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)))))))))))) 5.151 * * [simplify]: Extracting # 0 : cost 0 5.151 * * [simplify]: Extracting # 1 : cost 0 5.151 * * [simplify]: Extracting # 2 : cost 0 5.152 * * [simplify]: Extracting # 3 : cost 0 5.152 * * [simplify]: Extracting # 4 : cost 0 5.152 * * [simplify]: Extracting # 5 : cost 0 5.153 * * [simplify]: Extracting # 6 : cost 0 5.153 * * [simplify]: Extracting # 7 : cost 0 5.154 * * [simplify]: Extracting # 8 : cost 0 5.154 * * [simplify]: Extracting # 9 : cost 0 5.155 * * [simplify]: Extracting # 10 : cost 0 5.156 * * [simplify]: Extracting # 11 : cost 0 5.157 * * [simplify]: Extracting # 12 : cost 0 5.158 * * [simplify]: Extracting # 13 : cost 0 5.159 * * [simplify]: Extracting # 14 : cost 0 5.160 * * [simplify]: Extracting # 15 : cost 0 5.161 * * [simplify]: Extracting # 16 : cost 0 5.163 * * [simplify]: Extracting # 17 : cost 0 5.164 * * [simplify]: Extracting # 18 : cost 0 5.165 * * [simplify]: Extracting # 19 : cost 0 5.166 * * [simplify]: Extracting # 20 : cost 0 5.167 * * [simplify]: Extracting # 21 : cost 0 5.168 * * [simplify]: Extracting # 22 : cost 0 5.169 * * [simplify]: Extracting # 23 : cost 0 5.170 * * [simplify]: Extracting # 24 : cost 0 5.177 * * [simplify]: Extracting # 25 : cost 0 5.178 * * [simplify]: Extracting # 26 : cost 0 5.179 * * [simplify]: Extracting # 27 : cost 0 5.181 * * [simplify]: Extracting # 28 : cost 0 5.182 * * [simplify]: Extracting # 29 : cost 0 5.183 * * [simplify]: Extracting # 30 : cost 0 5.184 * * [simplify]: Extracting # 31 : cost 0 5.185 * * [simplify]: Extracting # 32 : cost 0 5.186 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 5.352 * * [simplify]: Extracting # 0 : cost 0 5.354 * * [simplify]: Extracting # 1 : cost 0 5.355 * * [simplify]: Extracting # 2 : cost 0 5.356 * * [simplify]: Extracting # 3 : cost 0 5.358 * * [simplify]: Extracting # 4 : cost 0 5.359 * * [simplify]: Extracting # 5 : cost 0 5.360 * * [simplify]: Extracting # 6 : cost 0 5.361 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 6.001 * * [simplify]: Extracting # 0 : cost 0 6.005 * * [simplify]: Extracting # 1 : cost 0 6.009 * * [simplify]: Extracting # 2 : cost 0 6.013 * * [simplify]: Extracting # 3 : cost 0 6.017 * * [simplify]: Extracting # 4 : cost 0 6.021 * * [simplify]: Extracting # 5 : cost 0 6.025 * * [simplify]: iteration 2 : 3137 enodes (cost 2550 ) 7.396 * * [simplify]: Extracting # 0 : cost 0 7.408 * * [simplify]: Extracting # 1 : cost 0 7.421 * * [simplify]: Extracting # 2 : cost 0 7.428 * * [simplify]: Extracting # 3 : cost 0 7.435 * * [simplify]: Extracting # 4 : cost 0 7.448 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 7.449 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (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 n) 2.0) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* PI n) 2.0) (* (* PI n) 2.0) (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) k) (/ (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma 0.5 (* (- k) (fma (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (pow (* (* 2.0 PI) n) 0.5)))) (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)))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (fma k (- +nan.0) (fma +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)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (pow k 2) (* (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0) (fma (* (* (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) (fma (pow k 2) (* (* (log n) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0) (fma (- +nan.0) (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (* (* (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 (fma (- (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) +nan.0 (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (fma +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)) (pow k 2))) (- (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))))) (fma +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)))) 7.450 * * * [progress]: adding candidates to table 8.178 * * [progress]: iteration 2 / 4 8.178 * * * [progress]: picking best candidate 8.229 * * * * [pick]: Picked # 8.229 * * * [progress]: localizing error 8.267 * * * [progress]: generating rewritten candidates 8.267 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.288 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.326 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.340 * * * [progress]: generating series expansions 8.340 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.340 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.340 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.340 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.340 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.340 * [taylor]: Taking taylor expansion of 0.5 in k 8.340 * [backup-simplify]: Simplify 0.5 into 0.5 8.340 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.340 * [taylor]: Taking taylor expansion of 1.0 in k 8.340 * [backup-simplify]: Simplify 1.0 into 1.0 8.340 * [taylor]: Taking taylor expansion of k in k 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [taylor]: Taking taylor expansion of (log n) in k 8.340 * [taylor]: Taking taylor expansion of n in k 8.340 * [backup-simplify]: Simplify n into n 8.340 * [backup-simplify]: Simplify (log n) into (log n) 8.341 * [backup-simplify]: Simplify (- 0) into 0 8.341 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.342 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.342 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.342 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.342 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.342 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.342 * [taylor]: Taking taylor expansion of 0.5 in n 8.342 * [backup-simplify]: Simplify 0.5 into 0.5 8.342 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.342 * [taylor]: Taking taylor expansion of 1.0 in n 8.342 * [backup-simplify]: Simplify 1.0 into 1.0 8.342 * [taylor]: Taking taylor expansion of k in n 8.342 * [backup-simplify]: Simplify k into k 8.342 * [taylor]: Taking taylor expansion of (log n) in n 8.342 * [taylor]: Taking taylor expansion of n in n 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.342 * [backup-simplify]: Simplify (log 1) into 0 8.342 * [backup-simplify]: Simplify (- k) into (- k) 8.342 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.342 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.343 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.343 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.343 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.343 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.343 * [taylor]: Taking taylor expansion of 0.5 in n 8.343 * [backup-simplify]: Simplify 0.5 into 0.5 8.343 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.343 * [taylor]: Taking taylor expansion of 1.0 in n 8.343 * [backup-simplify]: Simplify 1.0 into 1.0 8.343 * [taylor]: Taking taylor expansion of k in n 8.343 * [backup-simplify]: Simplify k into k 8.343 * [taylor]: Taking taylor expansion of (log n) in n 8.343 * [taylor]: Taking taylor expansion of n in n 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (log 1) into 0 8.344 * [backup-simplify]: Simplify (- k) into (- k) 8.344 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.344 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.344 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.344 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.344 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.344 * [taylor]: Taking taylor expansion of 0.5 in k 8.344 * [backup-simplify]: Simplify 0.5 into 0.5 8.344 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.344 * [taylor]: Taking taylor expansion of 1.0 in k 8.344 * [backup-simplify]: Simplify 1.0 into 1.0 8.344 * [taylor]: Taking taylor expansion of k in k 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [taylor]: Taking taylor expansion of (log n) in k 8.344 * [taylor]: Taking taylor expansion of n in k 8.344 * [backup-simplify]: Simplify n into n 8.344 * [backup-simplify]: Simplify (log n) into (log n) 8.345 * [backup-simplify]: Simplify (- 0) into 0 8.345 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.345 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.345 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.345 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.345 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.346 * [backup-simplify]: Simplify (- 0) into 0 8.347 * [backup-simplify]: Simplify (+ 0 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.347 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.347 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.348 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.348 * [taylor]: Taking taylor expansion of 0 in k 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.349 * [backup-simplify]: Simplify (- 1) into -1 8.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.349 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.350 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.350 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.350 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.352 * [backup-simplify]: Simplify (- 0) into 0 8.352 * [backup-simplify]: Simplify (+ 0 0) into 0 8.353 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.353 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.353 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.354 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.354 * [taylor]: Taking taylor expansion of 0 in k 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.356 * [backup-simplify]: Simplify (- 0) into 0 8.356 * [backup-simplify]: Simplify (+ 0 0) into 0 8.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.357 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.357 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.358 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.358 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 8.358 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.359 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.359 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.359 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.359 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.359 * [taylor]: Taking taylor expansion of 0.5 in k 8.359 * [backup-simplify]: Simplify 0.5 into 0.5 8.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.359 * [taylor]: Taking taylor expansion of 1.0 in k 8.359 * [backup-simplify]: Simplify 1.0 into 1.0 8.359 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.359 * [taylor]: Taking taylor expansion of k in k 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 1 into 1 8.359 * [backup-simplify]: Simplify (/ 1 1) into 1 8.359 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.359 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.359 * [taylor]: Taking taylor expansion of n in k 8.359 * [backup-simplify]: Simplify n into n 8.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.359 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.359 * [backup-simplify]: Simplify (- 1) into -1 8.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.360 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.360 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.360 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.360 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.360 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.360 * [taylor]: Taking taylor expansion of 0.5 in n 8.360 * [backup-simplify]: Simplify 0.5 into 0.5 8.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.360 * [taylor]: Taking taylor expansion of 1.0 in n 8.360 * [backup-simplify]: Simplify 1.0 into 1.0 8.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.360 * [taylor]: Taking taylor expansion of k in n 8.360 * [backup-simplify]: Simplify k into k 8.360 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.360 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.361 * [taylor]: Taking taylor expansion of n in n 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.361 * [backup-simplify]: Simplify (/ 1 1) into 1 8.361 * [backup-simplify]: Simplify (log 1) into 0 8.361 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.361 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.361 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.362 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.362 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.362 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.362 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.362 * [taylor]: Taking taylor expansion of 0.5 in n 8.362 * [backup-simplify]: Simplify 0.5 into 0.5 8.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.362 * [taylor]: Taking taylor expansion of 1.0 in n 8.362 * [backup-simplify]: Simplify 1.0 into 1.0 8.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.362 * [taylor]: Taking taylor expansion of k in n 8.362 * [backup-simplify]: Simplify k into k 8.362 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.362 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.362 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.362 * [taylor]: Taking taylor expansion of n in n 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (/ 1 1) into 1 8.363 * [backup-simplify]: Simplify (log 1) into 0 8.363 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.363 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.363 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.364 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.364 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.364 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.364 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.364 * [taylor]: Taking taylor expansion of -0.5 in k 8.364 * [backup-simplify]: Simplify -0.5 into -0.5 8.364 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.364 * [taylor]: Taking taylor expansion of (log n) in k 8.364 * [taylor]: Taking taylor expansion of n in k 8.364 * [backup-simplify]: Simplify n into n 8.364 * [backup-simplify]: Simplify (log n) into (log n) 8.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.365 * [taylor]: Taking taylor expansion of 1.0 in k 8.365 * [backup-simplify]: Simplify 1.0 into 1.0 8.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.365 * [taylor]: Taking taylor expansion of k in k 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.365 * [backup-simplify]: Simplify (- 1) into -1 8.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.366 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.366 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.366 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.367 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.369 * [backup-simplify]: Simplify (- 0) into 0 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.371 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.372 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.372 * [taylor]: Taking taylor expansion of 0 in k 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.377 * [backup-simplify]: Simplify (- 0) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.378 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.379 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.381 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.381 * [taylor]: Taking taylor expansion of 0 in k 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.387 * [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 8.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.388 * [backup-simplify]: Simplify (- 0) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.390 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.391 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.392 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.392 * [taylor]: Taking taylor expansion of 0 in k 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.393 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.393 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.393 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.393 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.393 * [taylor]: Taking taylor expansion of 0.5 in k 8.393 * [backup-simplify]: Simplify 0.5 into 0.5 8.393 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.393 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.393 * [taylor]: Taking taylor expansion of k in k 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 1 into 1 8.394 * [backup-simplify]: Simplify (/ 1 1) into 1 8.394 * [taylor]: Taking taylor expansion of 1.0 in k 8.394 * [backup-simplify]: Simplify 1.0 into 1.0 8.394 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.394 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.394 * [taylor]: Taking taylor expansion of -1 in k 8.394 * [backup-simplify]: Simplify -1 into -1 8.394 * [taylor]: Taking taylor expansion of n in k 8.394 * [backup-simplify]: Simplify n into n 8.394 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.394 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.395 * [backup-simplify]: Simplify (+ 1 0) into 1 8.395 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.395 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.395 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.395 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.395 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.395 * [taylor]: Taking taylor expansion of 0.5 in n 8.395 * [backup-simplify]: Simplify 0.5 into 0.5 8.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.396 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.396 * [taylor]: Taking taylor expansion of k in n 8.396 * [backup-simplify]: Simplify k into k 8.396 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.396 * [taylor]: Taking taylor expansion of 1.0 in n 8.396 * [backup-simplify]: Simplify 1.0 into 1.0 8.396 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.396 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.396 * [taylor]: Taking taylor expansion of -1 in n 8.396 * [backup-simplify]: Simplify -1 into -1 8.396 * [taylor]: Taking taylor expansion of n in n 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [backup-simplify]: Simplify (/ -1 1) into -1 8.397 * [backup-simplify]: Simplify (log -1) into (log -1) 8.397 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.397 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.398 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.399 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.399 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.399 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.399 * [taylor]: Taking taylor expansion of 0.5 in n 8.399 * [backup-simplify]: Simplify 0.5 into 0.5 8.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.399 * [taylor]: Taking taylor expansion of k in n 8.399 * [backup-simplify]: Simplify k into k 8.399 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.399 * [taylor]: Taking taylor expansion of 1.0 in n 8.399 * [backup-simplify]: Simplify 1.0 into 1.0 8.399 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.399 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.399 * [taylor]: Taking taylor expansion of -1 in n 8.399 * [backup-simplify]: Simplify -1 into -1 8.399 * [taylor]: Taking taylor expansion of n in n 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.400 * [backup-simplify]: Simplify (/ -1 1) into -1 8.400 * [backup-simplify]: Simplify (log -1) into (log -1) 8.400 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.400 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.402 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.402 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.402 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.402 * [taylor]: Taking taylor expansion of 0.5 in k 8.402 * [backup-simplify]: Simplify 0.5 into 0.5 8.402 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.402 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.403 * [taylor]: Taking taylor expansion of (log -1) in k 8.403 * [taylor]: Taking taylor expansion of -1 in k 8.403 * [backup-simplify]: Simplify -1 into -1 8.403 * [backup-simplify]: Simplify (log -1) into (log -1) 8.403 * [taylor]: Taking taylor expansion of (log n) in k 8.403 * [taylor]: Taking taylor expansion of n in k 8.403 * [backup-simplify]: Simplify n into n 8.403 * [backup-simplify]: Simplify (log n) into (log n) 8.403 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.403 * [taylor]: Taking taylor expansion of k in k 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 1 into 1 8.404 * [backup-simplify]: Simplify (/ 1 1) into 1 8.404 * [taylor]: Taking taylor expansion of 1.0 in k 8.404 * [backup-simplify]: Simplify 1.0 into 1.0 8.404 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.404 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.405 * [backup-simplify]: Simplify (+ 1 0) into 1 8.405 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.405 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.406 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.407 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.410 * [backup-simplify]: Simplify (+ 0 0) into 0 8.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.412 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.413 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.413 * [taylor]: Taking taylor expansion of 0 in k 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.423 * [backup-simplify]: Simplify (+ 0 0) into 0 8.425 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.426 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.428 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.428 * [taylor]: Taking taylor expansion of 0 in k 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [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 8.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.436 * [backup-simplify]: Simplify (+ 0 0) into 0 8.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.439 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.442 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.442 * [taylor]: Taking taylor expansion of 0 in k 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 8.443 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.443 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.443 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.443 * [taylor]: Taking taylor expansion of 0.5 in k 8.443 * [backup-simplify]: Simplify 0.5 into 0.5 8.444 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.444 * [taylor]: Taking taylor expansion of 1.0 in k 8.444 * [backup-simplify]: Simplify 1.0 into 1.0 8.444 * [taylor]: Taking taylor expansion of k in k 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.444 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.444 * [taylor]: Taking taylor expansion of 2.0 in k 8.444 * [backup-simplify]: Simplify 2.0 into 2.0 8.444 * [taylor]: Taking taylor expansion of PI in k 8.444 * [backup-simplify]: Simplify PI into PI 8.444 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.445 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.445 * [backup-simplify]: Simplify (- 0) into 0 8.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.446 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.448 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.450 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.450 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.450 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.450 * [taylor]: Taking taylor expansion of 0.5 in k 8.451 * [backup-simplify]: Simplify 0.5 into 0.5 8.451 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.451 * [taylor]: Taking taylor expansion of 1.0 in k 8.451 * [backup-simplify]: Simplify 1.0 into 1.0 8.451 * [taylor]: Taking taylor expansion of k in k 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 1 into 1 8.451 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.451 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.451 * [taylor]: Taking taylor expansion of 2.0 in k 8.451 * [backup-simplify]: Simplify 2.0 into 2.0 8.451 * [taylor]: Taking taylor expansion of PI in k 8.451 * [backup-simplify]: Simplify PI into PI 8.451 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.452 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.452 * [backup-simplify]: Simplify (- 0) into 0 8.452 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.452 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.453 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.455 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.456 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.456 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.457 * [backup-simplify]: Simplify (- 1) into -1 8.458 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.459 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.461 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.468 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.472 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.473 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.474 * [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 8.475 * [backup-simplify]: Simplify (- 0) into 0 8.475 * [backup-simplify]: Simplify (+ 0 0) into 0 8.476 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.485 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.492 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.510 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 8.511 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.511 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.511 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.511 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.511 * [taylor]: Taking taylor expansion of 0.5 in k 8.511 * [backup-simplify]: Simplify 0.5 into 0.5 8.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.511 * [taylor]: Taking taylor expansion of 1.0 in k 8.512 * [backup-simplify]: Simplify 1.0 into 1.0 8.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.512 * [taylor]: Taking taylor expansion of k in k 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify (/ 1 1) into 1 8.512 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.512 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.512 * [taylor]: Taking taylor expansion of 2.0 in k 8.512 * [backup-simplify]: Simplify 2.0 into 2.0 8.512 * [taylor]: Taking taylor expansion of PI in k 8.512 * [backup-simplify]: Simplify PI into PI 8.513 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.514 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.514 * [backup-simplify]: Simplify (- 1) into -1 8.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.515 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.517 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.518 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.518 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.518 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.518 * [taylor]: Taking taylor expansion of 0.5 in k 8.518 * [backup-simplify]: Simplify 0.5 into 0.5 8.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.518 * [taylor]: Taking taylor expansion of 1.0 in k 8.518 * [backup-simplify]: Simplify 1.0 into 1.0 8.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.518 * [taylor]: Taking taylor expansion of k in k 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.519 * [backup-simplify]: Simplify (/ 1 1) into 1 8.519 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.519 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.519 * [taylor]: Taking taylor expansion of 2.0 in k 8.519 * [backup-simplify]: Simplify 2.0 into 2.0 8.519 * [taylor]: Taking taylor expansion of PI in k 8.519 * [backup-simplify]: Simplify PI into PI 8.519 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.520 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.521 * [backup-simplify]: Simplify (- 1) into -1 8.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.522 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.523 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.525 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.526 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.528 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.529 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.529 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.529 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.529 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.529 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.529 * [taylor]: Taking taylor expansion of 0.5 in k 8.529 * [backup-simplify]: Simplify 0.5 into 0.5 8.529 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.529 * [taylor]: Taking taylor expansion of k in k 8.529 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify 1 into 1 8.529 * [backup-simplify]: Simplify (/ 1 1) into 1 8.529 * [taylor]: Taking taylor expansion of 1.0 in k 8.529 * [backup-simplify]: Simplify 1.0 into 1.0 8.529 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.529 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.529 * [taylor]: Taking taylor expansion of 2.0 in k 8.529 * [backup-simplify]: Simplify 2.0 into 2.0 8.530 * [taylor]: Taking taylor expansion of PI in k 8.530 * [backup-simplify]: Simplify PI into PI 8.530 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.531 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.531 * [backup-simplify]: Simplify (+ 1 0) into 1 8.532 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.534 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.535 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.535 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.535 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.535 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.535 * [taylor]: Taking taylor expansion of 0.5 in k 8.535 * [backup-simplify]: Simplify 0.5 into 0.5 8.535 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.535 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.535 * [taylor]: Taking taylor expansion of k in k 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.536 * [backup-simplify]: Simplify (/ 1 1) into 1 8.536 * [taylor]: Taking taylor expansion of 1.0 in k 8.536 * [backup-simplify]: Simplify 1.0 into 1.0 8.536 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.536 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.536 * [taylor]: Taking taylor expansion of 2.0 in k 8.536 * [backup-simplify]: Simplify 2.0 into 2.0 8.536 * [taylor]: Taking taylor expansion of PI in k 8.536 * [backup-simplify]: Simplify PI into PI 8.536 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.537 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.538 * [backup-simplify]: Simplify (+ 1 0) into 1 8.538 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.540 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.542 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.543 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.549 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.550 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 8.550 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 8.550 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.550 * [taylor]: Taking taylor expansion of 1.0 in k 8.550 * [backup-simplify]: Simplify 1.0 into 1.0 8.550 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.550 * [taylor]: Taking taylor expansion of k in k 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (/ 1 1) into 1 8.551 * [backup-simplify]: Simplify (sqrt 0) into 0 8.553 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.553 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.553 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.553 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.553 * [taylor]: Taking taylor expansion of 0.5 in k 8.553 * [backup-simplify]: Simplify 0.5 into 0.5 8.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.553 * [taylor]: Taking taylor expansion of 1.0 in k 8.553 * [backup-simplify]: Simplify 1.0 into 1.0 8.553 * [taylor]: Taking taylor expansion of k in k 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.553 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.553 * [taylor]: Taking taylor expansion of 2.0 in k 8.553 * [backup-simplify]: Simplify 2.0 into 2.0 8.553 * [taylor]: Taking taylor expansion of PI in k 8.553 * [backup-simplify]: Simplify PI into PI 8.554 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.555 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.555 * [backup-simplify]: Simplify (- 0) into 0 8.556 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.556 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.558 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.560 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.560 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.561 * [taylor]: Taking taylor expansion of 1.0 in k 8.561 * [backup-simplify]: Simplify 1.0 into 1.0 8.561 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.561 * [taylor]: Taking taylor expansion of k in k 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [backup-simplify]: Simplify (/ 1 1) into 1 8.561 * [backup-simplify]: Simplify (sqrt 0) into 0 8.563 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.563 * [taylor]: Taking taylor expansion of 0.5 in k 8.563 * [backup-simplify]: Simplify 0.5 into 0.5 8.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.563 * [taylor]: Taking taylor expansion of 1.0 in k 8.563 * [backup-simplify]: Simplify 1.0 into 1.0 8.563 * [taylor]: Taking taylor expansion of k in k 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.563 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.563 * [taylor]: Taking taylor expansion of 2.0 in k 8.563 * [backup-simplify]: Simplify 2.0 into 2.0 8.563 * [taylor]: Taking taylor expansion of PI in k 8.563 * [backup-simplify]: Simplify PI into PI 8.564 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.565 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.565 * [backup-simplify]: Simplify (- 0) into 0 8.565 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.566 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.568 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.570 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.571 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 8.572 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.575 * [backup-simplify]: Simplify (- 1) into -1 8.576 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.578 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.582 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.594 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.601 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.611 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.616 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.616 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.618 * [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 8.618 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.620 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.629 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.631 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.643 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.658 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 8.671 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.675 * [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 8.676 * [backup-simplify]: Simplify (- 0) into 0 8.676 * [backup-simplify]: Simplify (+ 0 0) into 0 8.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.697 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.723 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.778 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.820 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.860 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.860 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.860 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.860 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.861 * [taylor]: Taking taylor expansion of 1.0 in k 8.861 * [backup-simplify]: Simplify 1.0 into 1.0 8.861 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.861 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.861 * [taylor]: Taking taylor expansion of k in k 8.861 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify 1 into 1 8.861 * [backup-simplify]: Simplify (sqrt 0) into 0 8.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.862 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.862 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.862 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.862 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.862 * [taylor]: Taking taylor expansion of 0.5 in k 8.862 * [backup-simplify]: Simplify 0.5 into 0.5 8.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.862 * [taylor]: Taking taylor expansion of 1.0 in k 8.862 * [backup-simplify]: Simplify 1.0 into 1.0 8.862 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.862 * [taylor]: Taking taylor expansion of k in k 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [backup-simplify]: Simplify (/ 1 1) into 1 8.862 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.862 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.862 * [taylor]: Taking taylor expansion of 2.0 in k 8.862 * [backup-simplify]: Simplify 2.0 into 2.0 8.862 * [taylor]: Taking taylor expansion of PI in k 8.862 * [backup-simplify]: Simplify PI into PI 8.863 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.864 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.864 * [backup-simplify]: Simplify (- 1) into -1 8.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.865 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.867 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.868 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.868 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.868 * [taylor]: Taking taylor expansion of 1.0 in k 8.868 * [backup-simplify]: Simplify 1.0 into 1.0 8.868 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.868 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.868 * [taylor]: Taking taylor expansion of k in k 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.869 * [backup-simplify]: Simplify (sqrt 0) into 0 8.870 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.870 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.870 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.870 * [taylor]: Taking taylor expansion of 0.5 in k 8.870 * [backup-simplify]: Simplify 0.5 into 0.5 8.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.870 * [taylor]: Taking taylor expansion of 1.0 in k 8.870 * [backup-simplify]: Simplify 1.0 into 1.0 8.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.870 * [taylor]: Taking taylor expansion of k in k 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.871 * [backup-simplify]: Simplify (/ 1 1) into 1 8.871 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.871 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.871 * [taylor]: Taking taylor expansion of 2.0 in k 8.871 * [backup-simplify]: Simplify 2.0 into 2.0 8.871 * [taylor]: Taking taylor expansion of PI in k 8.871 * [backup-simplify]: Simplify PI into PI 8.871 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.872 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.873 * [backup-simplify]: Simplify (- 1) into -1 8.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.873 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.875 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.876 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.878 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.878 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.878 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.881 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.883 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.885 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.890 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.891 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.897 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.898 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.900 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.905 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.905 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.905 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.905 * [taylor]: Taking taylor expansion of 1.0 in k 8.905 * [backup-simplify]: Simplify 1.0 into 1.0 8.905 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.905 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.905 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.905 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.905 * [taylor]: Taking taylor expansion of 0.5 in k 8.905 * [backup-simplify]: Simplify 0.5 into 0.5 8.905 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.905 * [taylor]: Taking taylor expansion of k in k 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [backup-simplify]: Simplify (/ 1 1) into 1 8.905 * [taylor]: Taking taylor expansion of 1.0 in k 8.905 * [backup-simplify]: Simplify 1.0 into 1.0 8.905 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.905 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.905 * [taylor]: Taking taylor expansion of 2.0 in k 8.905 * [backup-simplify]: Simplify 2.0 into 2.0 8.905 * [taylor]: Taking taylor expansion of PI in k 8.905 * [backup-simplify]: Simplify PI into PI 8.906 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.906 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.907 * [backup-simplify]: Simplify (+ 1 0) into 1 8.907 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.908 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.909 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.909 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.909 * [taylor]: Taking taylor expansion of -1 in k 8.909 * [backup-simplify]: Simplify -1 into -1 8.909 * [taylor]: Taking taylor expansion of k in k 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify 1 into 1 8.909 * [backup-simplify]: Simplify (/ -1 1) into -1 8.909 * [backup-simplify]: Simplify (sqrt 0) into 0 8.910 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.911 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.911 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.911 * [taylor]: Taking taylor expansion of 1.0 in k 8.911 * [backup-simplify]: Simplify 1.0 into 1.0 8.911 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.911 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.911 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.911 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.911 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.911 * [taylor]: Taking taylor expansion of 0.5 in k 8.911 * [backup-simplify]: Simplify 0.5 into 0.5 8.911 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.911 * [taylor]: Taking taylor expansion of k in k 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [backup-simplify]: Simplify (/ 1 1) into 1 8.911 * [taylor]: Taking taylor expansion of 1.0 in k 8.911 * [backup-simplify]: Simplify 1.0 into 1.0 8.912 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.912 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.912 * [taylor]: Taking taylor expansion of 2.0 in k 8.912 * [backup-simplify]: Simplify 2.0 into 2.0 8.912 * [taylor]: Taking taylor expansion of PI in k 8.912 * [backup-simplify]: Simplify PI into PI 8.912 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.913 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.913 * [backup-simplify]: Simplify (+ 1 0) into 1 8.913 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.914 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.915 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.915 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.915 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.915 * [taylor]: Taking taylor expansion of -1 in k 8.915 * [backup-simplify]: Simplify -1 into -1 8.915 * [taylor]: Taking taylor expansion of k in k 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [backup-simplify]: Simplify (/ -1 1) into -1 8.915 * [backup-simplify]: Simplify (sqrt 0) into 0 8.916 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.917 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.918 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.918 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.922 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.924 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.925 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.934 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.938 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.939 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.942 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 8.942 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.942 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.942 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.942 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.942 * [taylor]: Taking taylor expansion of 1.0 in k 8.942 * [backup-simplify]: Simplify 1.0 into 1.0 8.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.942 * [taylor]: Taking taylor expansion of k in k 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [backup-simplify]: Simplify (/ 1 1) into 1 8.943 * [backup-simplify]: Simplify (sqrt 0) into 0 8.943 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.943 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.943 * [taylor]: Taking taylor expansion of 1.0 in k 8.943 * [backup-simplify]: Simplify 1.0 into 1.0 8.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.943 * [taylor]: Taking taylor expansion of k in k 8.943 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ 1 1) into 1 8.944 * [backup-simplify]: Simplify (sqrt 0) into 0 8.945 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.945 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.946 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.949 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.950 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.954 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.954 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.955 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.955 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.955 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.955 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.955 * [taylor]: Taking taylor expansion of 1.0 in k 8.955 * [backup-simplify]: Simplify 1.0 into 1.0 8.955 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.955 * [taylor]: Taking taylor expansion of k in k 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (sqrt 0) into 0 8.956 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.956 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.956 * [taylor]: Taking taylor expansion of 1.0 in k 8.956 * [backup-simplify]: Simplify 1.0 into 1.0 8.956 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.956 * [taylor]: Taking taylor expansion of k in k 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.957 * [backup-simplify]: Simplify (sqrt 0) into 0 8.957 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.958 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.958 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.959 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.960 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.962 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.962 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.966 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.966 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.967 * [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)))))))) 8.967 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.967 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.967 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.967 * [taylor]: Taking taylor expansion of 1.0 in k 8.967 * [backup-simplify]: Simplify 1.0 into 1.0 8.967 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.968 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.968 * [taylor]: Taking taylor expansion of -1 in k 8.968 * [backup-simplify]: Simplify -1 into -1 8.968 * [taylor]: Taking taylor expansion of k in k 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [backup-simplify]: Simplify (/ -1 1) into -1 8.968 * [backup-simplify]: Simplify (sqrt 0) into 0 8.970 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.970 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.970 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.970 * [taylor]: Taking taylor expansion of 1.0 in k 8.970 * [backup-simplify]: Simplify 1.0 into 1.0 8.970 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.970 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.970 * [taylor]: Taking taylor expansion of -1 in k 8.971 * [backup-simplify]: Simplify -1 into -1 8.971 * [taylor]: Taking taylor expansion of k in k 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.971 * [backup-simplify]: Simplify (/ -1 1) into -1 8.971 * [backup-simplify]: Simplify (sqrt 0) into 0 8.973 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.973 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.973 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.980 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.980 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.989 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.990 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.991 * [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))))) 8.991 * * * [progress]: simplifying candidates 8.997 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 9.005 * * [simplify]: Extracting # 0 : cost 0 9.006 * * [simplify]: Extracting # 1 : cost 0 9.006 * * [simplify]: Extracting # 2 : cost 0 9.007 * * [simplify]: Extracting # 3 : cost 0 9.008 * * [simplify]: Extracting # 4 : cost 0 9.009 * * [simplify]: Extracting # 5 : cost 0 9.010 * * [simplify]: Extracting # 6 : cost 0 9.010 * * [simplify]: Extracting # 7 : cost 0 9.011 * * [simplify]: Extracting # 8 : cost 0 9.012 * * [simplify]: Extracting # 9 : cost 0 9.014 * * [simplify]: Extracting # 10 : cost 0 9.014 * * [simplify]: Extracting # 11 : cost 0 9.015 * * [simplify]: Extracting # 12 : cost 0 9.016 * * [simplify]: Extracting # 13 : cost 0 9.017 * * [simplify]: Extracting # 14 : cost 0 9.024 * * [simplify]: Extracting # 15 : cost 0 9.025 * * [simplify]: Extracting # 16 : cost 0 9.026 * * [simplify]: Extracting # 17 : cost 0 9.027 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 9.152 * * [simplify]: Extracting # 0 : cost 0 9.154 * * [simplify]: Extracting # 1 : cost 0 9.157 * * [simplify]: Extracting # 2 : cost 0 9.159 * * [simplify]: Extracting # 3 : cost 0 9.161 * * [simplify]: Extracting # 4 : cost 0 9.163 * * [simplify]: iteration 1 : 831 enodes (cost 2468 ) 9.671 * * [simplify]: Extracting # 0 : cost 0 9.675 * * [simplify]: Extracting # 1 : cost 0 9.678 * * [simplify]: Extracting # 2 : cost 0 9.681 * * [simplify]: Extracting # 3 : cost 0 9.684 * * [simplify]: Extracting # 4 : cost 0 9.688 * * [simplify]: iteration 2 : 2409 enodes (cost 2362 ) 10.783 * * [simplify]: Extracting # 0 : cost 0 10.795 * * [simplify]: Extracting # 1 : cost 0 10.820 * * [simplify]: Extracting # 2 : cost 0 10.833 * * [simplify]: Extracting # 3 : cost 0 10.846 * * [simplify]: Extracting # 4 : cost 0 10.859 * * [simplify]: iteration done: 5000 enodes (cost 2337 ) 10.862 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) (* (sqrt k) k)) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (fma (- +nan.0) (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- +nan.0) (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0)))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 3))) (* (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (- +nan.0) k))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5)) (* (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (- +nan.0) k))) (- (fma k +nan.0 (fma (- (pow k 2)) +nan.0 +nan.0))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) 10.864 * * * [progress]: adding candidates to table 11.671 * * [progress]: iteration 3 / 4 11.671 * * * [progress]: picking best candidate 11.707 * * * * [pick]: Picked # 11.707 * * * [progress]: localizing error 11.740 * * * [progress]: generating rewritten candidates 11.740 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.748 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 11.756 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.839 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.869 * * * [progress]: generating series expansions 11.869 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.869 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.869 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.869 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.869 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.869 * [taylor]: Taking taylor expansion of 0.5 in k 11.869 * [backup-simplify]: Simplify 0.5 into 0.5 11.869 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.869 * [taylor]: Taking taylor expansion of 1.0 in k 11.869 * [backup-simplify]: Simplify 1.0 into 1.0 11.870 * [taylor]: Taking taylor expansion of k in k 11.870 * [backup-simplify]: Simplify 0 into 0 11.870 * [backup-simplify]: Simplify 1 into 1 11.870 * [taylor]: Taking taylor expansion of (log n) in k 11.870 * [taylor]: Taking taylor expansion of n in k 11.870 * [backup-simplify]: Simplify n into n 11.870 * [backup-simplify]: Simplify (log n) into (log n) 11.871 * [backup-simplify]: Simplify (- 0) into 0 11.872 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.872 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.872 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.872 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.872 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.873 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.873 * [taylor]: Taking taylor expansion of 0.5 in n 11.873 * [backup-simplify]: Simplify 0.5 into 0.5 11.873 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.873 * [taylor]: Taking taylor expansion of 1.0 in n 11.873 * [backup-simplify]: Simplify 1.0 into 1.0 11.873 * [taylor]: Taking taylor expansion of k in n 11.873 * [backup-simplify]: Simplify k into k 11.873 * [taylor]: Taking taylor expansion of (log n) in n 11.873 * [taylor]: Taking taylor expansion of n in n 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 1 into 1 11.873 * [backup-simplify]: Simplify (log 1) into 0 11.873 * [backup-simplify]: Simplify (- k) into (- k) 11.874 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.874 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.874 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.874 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.874 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.875 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.875 * [taylor]: Taking taylor expansion of 0.5 in n 11.875 * [backup-simplify]: Simplify 0.5 into 0.5 11.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.875 * [taylor]: Taking taylor expansion of 1.0 in n 11.875 * [backup-simplify]: Simplify 1.0 into 1.0 11.875 * [taylor]: Taking taylor expansion of k in n 11.875 * [backup-simplify]: Simplify k into k 11.875 * [taylor]: Taking taylor expansion of (log n) in n 11.875 * [taylor]: Taking taylor expansion of n in n 11.875 * [backup-simplify]: Simplify 0 into 0 11.875 * [backup-simplify]: Simplify 1 into 1 11.875 * [backup-simplify]: Simplify (log 1) into 0 11.875 * [backup-simplify]: Simplify (- k) into (- k) 11.876 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.876 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.876 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.876 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.877 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.877 * [taylor]: Taking taylor expansion of 0.5 in k 11.877 * [backup-simplify]: Simplify 0.5 into 0.5 11.877 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.877 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.877 * [taylor]: Taking taylor expansion of 1.0 in k 11.877 * [backup-simplify]: Simplify 1.0 into 1.0 11.877 * [taylor]: Taking taylor expansion of k in k 11.877 * [backup-simplify]: Simplify 0 into 0 11.877 * [backup-simplify]: Simplify 1 into 1 11.877 * [taylor]: Taking taylor expansion of (log n) in k 11.877 * [taylor]: Taking taylor expansion of n in k 11.877 * [backup-simplify]: Simplify n into n 11.877 * [backup-simplify]: Simplify (log n) into (log n) 11.878 * [backup-simplify]: Simplify (- 0) into 0 11.878 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.878 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.878 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.878 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.878 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.880 * [backup-simplify]: Simplify (- 0) into 0 11.881 * [backup-simplify]: Simplify (+ 0 0) into 0 11.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.882 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.882 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.883 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.883 * [taylor]: Taking taylor expansion of 0 in k 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.885 * [backup-simplify]: Simplify (- 1) into -1 11.885 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.886 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.886 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.886 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.887 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.890 * [backup-simplify]: Simplify (- 0) into 0 11.891 * [backup-simplify]: Simplify (+ 0 0) into 0 11.891 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.892 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.893 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.894 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.894 * [taylor]: Taking taylor expansion of 0 in k 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 0 into 0 11.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.897 * [backup-simplify]: Simplify (- 0) into 0 11.897 * [backup-simplify]: Simplify (+ 0 0) into 0 11.898 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.900 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.901 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.902 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 11.902 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.902 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.902 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.903 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.903 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.903 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.903 * [taylor]: Taking taylor expansion of 0.5 in k 11.903 * [backup-simplify]: Simplify 0.5 into 0.5 11.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.903 * [taylor]: Taking taylor expansion of 1.0 in k 11.903 * [backup-simplify]: Simplify 1.0 into 1.0 11.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.903 * [taylor]: Taking taylor expansion of k in k 11.903 * [backup-simplify]: Simplify 0 into 0 11.903 * [backup-simplify]: Simplify 1 into 1 11.903 * [backup-simplify]: Simplify (/ 1 1) into 1 11.903 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.903 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.903 * [taylor]: Taking taylor expansion of n in k 11.904 * [backup-simplify]: Simplify n into n 11.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.904 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.904 * [backup-simplify]: Simplify (- 1) into -1 11.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.905 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.905 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.905 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.905 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.906 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.906 * [taylor]: Taking taylor expansion of 0.5 in n 11.906 * [backup-simplify]: Simplify 0.5 into 0.5 11.906 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.906 * [taylor]: Taking taylor expansion of 1.0 in n 11.906 * [backup-simplify]: Simplify 1.0 into 1.0 11.906 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.906 * [taylor]: Taking taylor expansion of k in n 11.906 * [backup-simplify]: Simplify k into k 11.906 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.906 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.906 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.906 * [taylor]: Taking taylor expansion of n in n 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.907 * [backup-simplify]: Simplify (/ 1 1) into 1 11.907 * [backup-simplify]: Simplify (log 1) into 0 11.907 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.907 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.907 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.908 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.908 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.908 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.908 * [taylor]: Taking taylor expansion of 0.5 in n 11.908 * [backup-simplify]: Simplify 0.5 into 0.5 11.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.908 * [taylor]: Taking taylor expansion of 1.0 in n 11.909 * [backup-simplify]: Simplify 1.0 into 1.0 11.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.909 * [taylor]: Taking taylor expansion of k in n 11.909 * [backup-simplify]: Simplify k into k 11.909 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.909 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.909 * [taylor]: Taking taylor expansion of n in n 11.909 * [backup-simplify]: Simplify 0 into 0 11.909 * [backup-simplify]: Simplify 1 into 1 11.909 * [backup-simplify]: Simplify (/ 1 1) into 1 11.910 * [backup-simplify]: Simplify (log 1) into 0 11.910 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.910 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.910 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.911 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.911 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.911 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.911 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.911 * [taylor]: Taking taylor expansion of -0.5 in k 11.911 * [backup-simplify]: Simplify -0.5 into -0.5 11.911 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.911 * [taylor]: Taking taylor expansion of (log n) in k 11.911 * [taylor]: Taking taylor expansion of n in k 11.911 * [backup-simplify]: Simplify n into n 11.911 * [backup-simplify]: Simplify (log n) into (log n) 11.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.912 * [taylor]: Taking taylor expansion of 1.0 in k 11.912 * [backup-simplify]: Simplify 1.0 into 1.0 11.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.912 * [taylor]: Taking taylor expansion of k in k 11.912 * [backup-simplify]: Simplify 0 into 0 11.912 * [backup-simplify]: Simplify 1 into 1 11.912 * [backup-simplify]: Simplify (/ 1 1) into 1 11.913 * [backup-simplify]: Simplify (- 1) into -1 11.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.913 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.913 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.913 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.914 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.917 * [backup-simplify]: Simplify (- 0) into 0 11.917 * [backup-simplify]: Simplify (+ 0 0) into 0 11.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.918 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.918 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.919 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.919 * [taylor]: Taking taylor expansion of 0 in k 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 0 into 0 11.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.923 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.924 * [backup-simplify]: Simplify (- 0) into 0 11.925 * [backup-simplify]: Simplify (+ 0 0) into 0 11.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.926 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.927 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.927 * [taylor]: Taking taylor expansion of 0 in k 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 0 into 0 11.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.931 * [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 11.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.931 * [backup-simplify]: Simplify (- 0) into 0 11.932 * [backup-simplify]: Simplify (+ 0 0) into 0 11.932 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.933 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.933 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.934 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.934 * [taylor]: Taking taylor expansion of 0 in k 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.935 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.935 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.935 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.935 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.935 * [taylor]: Taking taylor expansion of 0.5 in k 11.935 * [backup-simplify]: Simplify 0.5 into 0.5 11.935 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.935 * [taylor]: Taking taylor expansion of k in k 11.935 * [backup-simplify]: Simplify 0 into 0 11.935 * [backup-simplify]: Simplify 1 into 1 11.935 * [backup-simplify]: Simplify (/ 1 1) into 1 11.935 * [taylor]: Taking taylor expansion of 1.0 in k 11.935 * [backup-simplify]: Simplify 1.0 into 1.0 11.935 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.935 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.935 * [taylor]: Taking taylor expansion of -1 in k 11.935 * [backup-simplify]: Simplify -1 into -1 11.935 * [taylor]: Taking taylor expansion of n in k 11.935 * [backup-simplify]: Simplify n into n 11.935 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.935 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.936 * [backup-simplify]: Simplify (+ 1 0) into 1 11.936 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.936 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.936 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.936 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.936 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.936 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.936 * [taylor]: Taking taylor expansion of 0.5 in n 11.936 * [backup-simplify]: Simplify 0.5 into 0.5 11.936 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.936 * [taylor]: Taking taylor expansion of k in n 11.936 * [backup-simplify]: Simplify k into k 11.936 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.936 * [taylor]: Taking taylor expansion of 1.0 in n 11.936 * [backup-simplify]: Simplify 1.0 into 1.0 11.936 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.936 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.936 * [taylor]: Taking taylor expansion of -1 in n 11.936 * [backup-simplify]: Simplify -1 into -1 11.936 * [taylor]: Taking taylor expansion of n in n 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify 1 into 1 11.937 * [backup-simplify]: Simplify (/ -1 1) into -1 11.937 * [backup-simplify]: Simplify (log -1) into (log -1) 11.937 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.937 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.938 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.938 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.938 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.938 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.939 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.939 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.939 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.939 * [taylor]: Taking taylor expansion of 0.5 in n 11.939 * [backup-simplify]: Simplify 0.5 into 0.5 11.939 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.939 * [taylor]: Taking taylor expansion of k in n 11.939 * [backup-simplify]: Simplify k into k 11.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.939 * [taylor]: Taking taylor expansion of 1.0 in n 11.939 * [backup-simplify]: Simplify 1.0 into 1.0 11.939 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.939 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.939 * [taylor]: Taking taylor expansion of -1 in n 11.939 * [backup-simplify]: Simplify -1 into -1 11.939 * [taylor]: Taking taylor expansion of n in n 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.939 * [backup-simplify]: Simplify (/ -1 1) into -1 11.939 * [backup-simplify]: Simplify (log -1) into (log -1) 11.939 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.940 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.940 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.941 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.941 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.941 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.941 * [taylor]: Taking taylor expansion of 0.5 in k 11.941 * [backup-simplify]: Simplify 0.5 into 0.5 11.941 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.941 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.941 * [taylor]: Taking taylor expansion of (log -1) in k 11.941 * [taylor]: Taking taylor expansion of -1 in k 11.941 * [backup-simplify]: Simplify -1 into -1 11.941 * [backup-simplify]: Simplify (log -1) into (log -1) 11.941 * [taylor]: Taking taylor expansion of (log n) in k 11.941 * [taylor]: Taking taylor expansion of n in k 11.941 * [backup-simplify]: Simplify n into n 11.941 * [backup-simplify]: Simplify (log n) into (log n) 11.941 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.941 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.941 * [taylor]: Taking taylor expansion of k in k 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.942 * [backup-simplify]: Simplify (/ 1 1) into 1 11.942 * [taylor]: Taking taylor expansion of 1.0 in k 11.942 * [backup-simplify]: Simplify 1.0 into 1.0 11.942 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.942 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.942 * [backup-simplify]: Simplify (+ 1 0) into 1 11.943 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.943 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.943 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.944 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.946 * [backup-simplify]: Simplify (+ 0 0) into 0 11.946 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.947 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.954 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.954 * [taylor]: Taking taylor expansion of 0 in k 11.954 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.957 * [backup-simplify]: Simplify (+ 0 0) into 0 11.957 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.958 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.959 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.960 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.960 * [taylor]: Taking taylor expansion of 0 in k 11.961 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.967 * [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 11.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.968 * [backup-simplify]: Simplify (+ 0 0) into 0 11.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.970 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.972 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.974 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.974 * [taylor]: Taking taylor expansion of 0 in k 11.974 * [backup-simplify]: Simplify 0 into 0 11.974 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 11.975 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 11.976 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.976 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.976 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.976 * [taylor]: Taking taylor expansion of 0.5 in k 11.976 * [backup-simplify]: Simplify 0.5 into 0.5 11.976 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.976 * [taylor]: Taking taylor expansion of 1.0 in k 11.976 * [backup-simplify]: Simplify 1.0 into 1.0 11.976 * [taylor]: Taking taylor expansion of k in k 11.976 * [backup-simplify]: Simplify 0 into 0 11.976 * [backup-simplify]: Simplify 1 into 1 11.976 * [taylor]: Taking taylor expansion of (log PI) in k 11.976 * [taylor]: Taking taylor expansion of PI in k 11.976 * [backup-simplify]: Simplify PI into PI 11.977 * [backup-simplify]: Simplify (log PI) into (log PI) 11.977 * [backup-simplify]: Simplify (- 0) into 0 11.977 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.978 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.979 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.980 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.980 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.981 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.981 * [taylor]: Taking taylor expansion of 0.5 in k 11.981 * [backup-simplify]: Simplify 0.5 into 0.5 11.981 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.981 * [taylor]: Taking taylor expansion of 1.0 in k 11.981 * [backup-simplify]: Simplify 1.0 into 1.0 11.981 * [taylor]: Taking taylor expansion of k in k 11.981 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify 1 into 1 11.981 * [taylor]: Taking taylor expansion of (log PI) in k 11.981 * [taylor]: Taking taylor expansion of PI in k 11.981 * [backup-simplify]: Simplify PI into PI 11.981 * [backup-simplify]: Simplify (log PI) into (log PI) 11.982 * [backup-simplify]: Simplify (- 0) into 0 11.982 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.983 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.984 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.985 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.986 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.987 * [backup-simplify]: Simplify (- 1) into -1 11.987 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.988 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.995 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.998 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.000 * [backup-simplify]: Simplify (- 0) into 0 12.000 * [backup-simplify]: Simplify (+ 0 0) into 0 12.000 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.001 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.008 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.011 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.016 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 12.016 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 12.016 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 12.016 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.017 * [taylor]: Taking taylor expansion of 0.5 in k 12.017 * [backup-simplify]: Simplify 0.5 into 0.5 12.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.017 * [taylor]: Taking taylor expansion of 1.0 in k 12.017 * [backup-simplify]: Simplify 1.0 into 1.0 12.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.017 * [taylor]: Taking taylor expansion of k in k 12.017 * [backup-simplify]: Simplify 0 into 0 12.017 * [backup-simplify]: Simplify 1 into 1 12.017 * [backup-simplify]: Simplify (/ 1 1) into 1 12.017 * [taylor]: Taking taylor expansion of (log PI) in k 12.017 * [taylor]: Taking taylor expansion of PI in k 12.017 * [backup-simplify]: Simplify PI into PI 12.017 * [backup-simplify]: Simplify (log PI) into (log PI) 12.018 * [backup-simplify]: Simplify (- 1) into -1 12.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.018 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.019 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.019 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.019 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.019 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.019 * [taylor]: Taking taylor expansion of 0.5 in k 12.019 * [backup-simplify]: Simplify 0.5 into 0.5 12.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.019 * [taylor]: Taking taylor expansion of 1.0 in k 12.019 * [backup-simplify]: Simplify 1.0 into 1.0 12.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.019 * [taylor]: Taking taylor expansion of k in k 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 1 into 1 12.019 * [backup-simplify]: Simplify (/ 1 1) into 1 12.020 * [taylor]: Taking taylor expansion of (log PI) in k 12.020 * [taylor]: Taking taylor expansion of PI in k 12.020 * [backup-simplify]: Simplify PI into PI 12.020 * [backup-simplify]: Simplify (log PI) into (log PI) 12.020 * [backup-simplify]: Simplify (- 1) into -1 12.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.021 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.021 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.022 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.022 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.022 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.023 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 12.023 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 12.023 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.023 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.023 * [taylor]: Taking taylor expansion of 0.5 in k 12.023 * [backup-simplify]: Simplify 0.5 into 0.5 12.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.023 * [taylor]: Taking taylor expansion of k in k 12.023 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify 1 into 1 12.024 * [backup-simplify]: Simplify (/ 1 1) into 1 12.024 * [taylor]: Taking taylor expansion of 1.0 in k 12.024 * [backup-simplify]: Simplify 1.0 into 1.0 12.024 * [taylor]: Taking taylor expansion of (log PI) in k 12.024 * [taylor]: Taking taylor expansion of PI in k 12.024 * [backup-simplify]: Simplify PI into PI 12.024 * [backup-simplify]: Simplify (log PI) into (log PI) 12.025 * [backup-simplify]: Simplify (+ 1 0) into 1 12.025 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.026 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.027 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.027 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.027 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.027 * [taylor]: Taking taylor expansion of 0.5 in k 12.027 * [backup-simplify]: Simplify 0.5 into 0.5 12.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.027 * [taylor]: Taking taylor expansion of k in k 12.027 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify 1 into 1 12.028 * [backup-simplify]: Simplify (/ 1 1) into 1 12.028 * [taylor]: Taking taylor expansion of 1.0 in k 12.028 * [backup-simplify]: Simplify 1.0 into 1.0 12.028 * [taylor]: Taking taylor expansion of (log PI) in k 12.028 * [taylor]: Taking taylor expansion of PI in k 12.028 * [backup-simplify]: Simplify PI into PI 12.028 * [backup-simplify]: Simplify (log PI) into (log PI) 12.029 * [backup-simplify]: Simplify (+ 1 0) into 1 12.029 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.030 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.031 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.031 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.033 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.033 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 12.033 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 12.033 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.033 * [taylor]: Taking taylor expansion of 1.0 in k 12.033 * [backup-simplify]: Simplify 1.0 into 1.0 12.033 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.033 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.033 * [taylor]: Taking taylor expansion of k in k 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 1 into 1 12.034 * [backup-simplify]: Simplify (/ 1 1) into 1 12.034 * [backup-simplify]: Simplify (sqrt 0) into 0 12.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.036 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.036 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.036 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.036 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.036 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.036 * [taylor]: Taking taylor expansion of 0.5 in k 12.036 * [backup-simplify]: Simplify 0.5 into 0.5 12.036 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.036 * [taylor]: Taking taylor expansion of 1.0 in k 12.036 * [backup-simplify]: Simplify 1.0 into 1.0 12.036 * [taylor]: Taking taylor expansion of k in k 12.036 * [backup-simplify]: Simplify 0 into 0 12.036 * [backup-simplify]: Simplify 1 into 1 12.036 * [taylor]: Taking taylor expansion of (log PI) in k 12.036 * [taylor]: Taking taylor expansion of PI in k 12.036 * [backup-simplify]: Simplify PI into PI 12.037 * [backup-simplify]: Simplify (log PI) into (log PI) 12.037 * [backup-simplify]: Simplify (- 0) into 0 12.037 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.038 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.039 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.041 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.041 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 12.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 12.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 12.041 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.041 * [taylor]: Taking taylor expansion of 0.5 in k 12.041 * [backup-simplify]: Simplify 0.5 into 0.5 12.041 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.041 * [taylor]: Taking taylor expansion of 1.0 in k 12.041 * [backup-simplify]: Simplify 1.0 into 1.0 12.041 * [taylor]: Taking taylor expansion of k in k 12.041 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify 1 into 1 12.041 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.041 * [taylor]: Taking taylor expansion of 2.0 in k 12.041 * [backup-simplify]: Simplify 2.0 into 2.0 12.042 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.042 * [backup-simplify]: Simplify (- 0) into 0 12.043 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.043 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.044 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.046 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 12.046 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.046 * [taylor]: Taking taylor expansion of 1.0 in k 12.046 * [backup-simplify]: Simplify 1.0 into 1.0 12.046 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.046 * [taylor]: Taking taylor expansion of k in k 12.046 * [backup-simplify]: Simplify 0 into 0 12.046 * [backup-simplify]: Simplify 1 into 1 12.046 * [backup-simplify]: Simplify (/ 1 1) into 1 12.047 * [backup-simplify]: Simplify (sqrt 0) into 0 12.048 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.048 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.048 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.048 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.048 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.048 * [taylor]: Taking taylor expansion of 0.5 in k 12.048 * [backup-simplify]: Simplify 0.5 into 0.5 12.048 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.048 * [taylor]: Taking taylor expansion of 1.0 in k 12.048 * [backup-simplify]: Simplify 1.0 into 1.0 12.048 * [taylor]: Taking taylor expansion of k in k 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 1 into 1 12.049 * [taylor]: Taking taylor expansion of (log PI) in k 12.049 * [taylor]: Taking taylor expansion of PI in k 12.049 * [backup-simplify]: Simplify PI into PI 12.049 * [backup-simplify]: Simplify (log PI) into (log PI) 12.049 * [backup-simplify]: Simplify (- 0) into 0 12.050 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.050 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.051 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.053 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.053 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 12.053 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 12.054 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 12.054 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.054 * [taylor]: Taking taylor expansion of 0.5 in k 12.054 * [backup-simplify]: Simplify 0.5 into 0.5 12.054 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.054 * [taylor]: Taking taylor expansion of 1.0 in k 12.054 * [backup-simplify]: Simplify 1.0 into 1.0 12.054 * [taylor]: Taking taylor expansion of k in k 12.054 * [backup-simplify]: Simplify 0 into 0 12.054 * [backup-simplify]: Simplify 1 into 1 12.054 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.054 * [taylor]: Taking taylor expansion of 2.0 in k 12.054 * [backup-simplify]: Simplify 2.0 into 2.0 12.054 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.055 * [backup-simplify]: Simplify (- 0) into 0 12.055 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.056 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.056 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.058 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 12.060 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 12.061 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 12.062 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.062 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.064 * [backup-simplify]: Simplify (- 1) into -1 12.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.066 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 12.087 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 12.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.089 * [backup-simplify]: Simplify (- 1) into -1 12.089 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.091 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 12.103 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 12.118 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 12.129 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.138 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 12.144 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 12.147 * [backup-simplify]: Simplify (- 0) into 0 12.147 * [backup-simplify]: Simplify (+ 0 0) into 0 12.148 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 12.161 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 12.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.164 * [backup-simplify]: Simplify (- 0) into 0 12.165 * [backup-simplify]: Simplify (+ 0 0) into 0 12.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.179 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.213 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 12.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.245 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 12.270 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 12.300 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 12.304 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 12.304 * [backup-simplify]: Simplify (- 0) into 0 12.304 * [backup-simplify]: Simplify (+ 0 0) into 0 12.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 12.315 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 12.318 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 12.318 * [backup-simplify]: Simplify (- 0) into 0 12.318 * [backup-simplify]: Simplify (+ 0 0) into 0 12.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 12.342 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 12.375 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 12.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.439 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 12.543 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 12.628 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 12.752 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 12.752 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 12.753 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 12.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.753 * [taylor]: Taking taylor expansion of 1.0 in k 12.753 * [backup-simplify]: Simplify 1.0 into 1.0 12.753 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.753 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.753 * [taylor]: Taking taylor expansion of k in k 12.753 * [backup-simplify]: Simplify 0 into 0 12.753 * [backup-simplify]: Simplify 1 into 1 12.753 * [backup-simplify]: Simplify (sqrt 0) into 0 12.755 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.755 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.755 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.755 * [taylor]: Taking taylor expansion of 0.5 in k 12.755 * [backup-simplify]: Simplify 0.5 into 0.5 12.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.755 * [taylor]: Taking taylor expansion of 1.0 in k 12.755 * [backup-simplify]: Simplify 1.0 into 1.0 12.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.755 * [taylor]: Taking taylor expansion of k in k 12.755 * [backup-simplify]: Simplify 0 into 0 12.755 * [backup-simplify]: Simplify 1 into 1 12.756 * [backup-simplify]: Simplify (/ 1 1) into 1 12.756 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.756 * [taylor]: Taking taylor expansion of 2.0 in k 12.756 * [backup-simplify]: Simplify 2.0 into 2.0 12.756 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.756 * [backup-simplify]: Simplify (- 1) into -1 12.757 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.757 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.758 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.759 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.759 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.759 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.759 * [taylor]: Taking taylor expansion of 0.5 in k 12.759 * [backup-simplify]: Simplify 0.5 into 0.5 12.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.759 * [taylor]: Taking taylor expansion of 1.0 in k 12.759 * [backup-simplify]: Simplify 1.0 into 1.0 12.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.759 * [taylor]: Taking taylor expansion of k in k 12.759 * [backup-simplify]: Simplify 0 into 0 12.759 * [backup-simplify]: Simplify 1 into 1 12.759 * [backup-simplify]: Simplify (/ 1 1) into 1 12.759 * [taylor]: Taking taylor expansion of (log PI) in k 12.760 * [taylor]: Taking taylor expansion of PI in k 12.760 * [backup-simplify]: Simplify PI into PI 12.760 * [backup-simplify]: Simplify (log PI) into (log PI) 12.760 * [backup-simplify]: Simplify (- 1) into -1 12.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.761 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.762 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.763 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.763 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.763 * [taylor]: Taking taylor expansion of 1.0 in k 12.763 * [backup-simplify]: Simplify 1.0 into 1.0 12.763 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.763 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.763 * [taylor]: Taking taylor expansion of k in k 12.763 * [backup-simplify]: Simplify 0 into 0 12.763 * [backup-simplify]: Simplify 1 into 1 12.763 * [backup-simplify]: Simplify (sqrt 0) into 0 12.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.765 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.765 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.765 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.765 * [taylor]: Taking taylor expansion of 0.5 in k 12.765 * [backup-simplify]: Simplify 0.5 into 0.5 12.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.765 * [taylor]: Taking taylor expansion of 1.0 in k 12.765 * [backup-simplify]: Simplify 1.0 into 1.0 12.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.765 * [taylor]: Taking taylor expansion of k in k 12.765 * [backup-simplify]: Simplify 0 into 0 12.765 * [backup-simplify]: Simplify 1 into 1 12.766 * [backup-simplify]: Simplify (/ 1 1) into 1 12.766 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.766 * [taylor]: Taking taylor expansion of 2.0 in k 12.766 * [backup-simplify]: Simplify 2.0 into 2.0 12.766 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.767 * [backup-simplify]: Simplify (- 1) into -1 12.767 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.768 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.769 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.769 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.769 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.769 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.770 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.770 * [taylor]: Taking taylor expansion of 0.5 in k 12.770 * [backup-simplify]: Simplify 0.5 into 0.5 12.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.770 * [taylor]: Taking taylor expansion of 1.0 in k 12.770 * [backup-simplify]: Simplify 1.0 into 1.0 12.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.770 * [taylor]: Taking taylor expansion of k in k 12.770 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify 1 into 1 12.770 * [backup-simplify]: Simplify (/ 1 1) into 1 12.770 * [taylor]: Taking taylor expansion of (log PI) in k 12.770 * [taylor]: Taking taylor expansion of PI in k 12.770 * [backup-simplify]: Simplify PI into PI 12.771 * [backup-simplify]: Simplify (log PI) into (log PI) 12.771 * [backup-simplify]: Simplify (- 1) into -1 12.771 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.771 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.772 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.772 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.773 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 12.774 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 12.774 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.774 * [backup-simplify]: Simplify 0 into 0 12.775 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 12.776 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.777 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.778 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.779 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 12.781 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.784 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.785 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.786 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 12.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.799 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.799 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.802 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 12.803 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 12.803 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 12.803 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.803 * [taylor]: Taking taylor expansion of 1.0 in k 12.803 * [backup-simplify]: Simplify 1.0 into 1.0 12.803 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.803 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.803 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.803 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.803 * [taylor]: Taking taylor expansion of 0.5 in k 12.803 * [backup-simplify]: Simplify 0.5 into 0.5 12.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.803 * [taylor]: Taking taylor expansion of k in k 12.803 * [backup-simplify]: Simplify 0 into 0 12.803 * [backup-simplify]: Simplify 1 into 1 12.803 * [backup-simplify]: Simplify (/ 1 1) into 1 12.803 * [taylor]: Taking taylor expansion of 1.0 in k 12.803 * [backup-simplify]: Simplify 1.0 into 1.0 12.803 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.803 * [taylor]: Taking taylor expansion of 2.0 in k 12.803 * [backup-simplify]: Simplify 2.0 into 2.0 12.804 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.804 * [backup-simplify]: Simplify (+ 1 0) into 1 12.804 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.805 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.805 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.805 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.805 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.805 * [taylor]: Taking taylor expansion of 0.5 in k 12.805 * [backup-simplify]: Simplify 0.5 into 0.5 12.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.805 * [taylor]: Taking taylor expansion of k in k 12.805 * [backup-simplify]: Simplify 0 into 0 12.805 * [backup-simplify]: Simplify 1 into 1 12.806 * [backup-simplify]: Simplify (/ 1 1) into 1 12.806 * [taylor]: Taking taylor expansion of 1.0 in k 12.806 * [backup-simplify]: Simplify 1.0 into 1.0 12.806 * [taylor]: Taking taylor expansion of (log PI) in k 12.806 * [taylor]: Taking taylor expansion of PI in k 12.806 * [backup-simplify]: Simplify PI into PI 12.806 * [backup-simplify]: Simplify (log PI) into (log PI) 12.806 * [backup-simplify]: Simplify (+ 1 0) into 1 12.807 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.807 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.808 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.808 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.808 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.808 * [taylor]: Taking taylor expansion of -1 in k 12.808 * [backup-simplify]: Simplify -1 into -1 12.808 * [taylor]: Taking taylor expansion of k in k 12.808 * [backup-simplify]: Simplify 0 into 0 12.808 * [backup-simplify]: Simplify 1 into 1 12.809 * [backup-simplify]: Simplify (/ -1 1) into -1 12.809 * [backup-simplify]: Simplify (sqrt 0) into 0 12.810 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.812 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.813 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.813 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.813 * [taylor]: Taking taylor expansion of 1.0 in k 12.813 * [backup-simplify]: Simplify 1.0 into 1.0 12.813 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.813 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.813 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.813 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.813 * [taylor]: Taking taylor expansion of 0.5 in k 12.813 * [backup-simplify]: Simplify 0.5 into 0.5 12.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.813 * [taylor]: Taking taylor expansion of k in k 12.813 * [backup-simplify]: Simplify 0 into 0 12.813 * [backup-simplify]: Simplify 1 into 1 12.814 * [backup-simplify]: Simplify (/ 1 1) into 1 12.814 * [taylor]: Taking taylor expansion of 1.0 in k 12.814 * [backup-simplify]: Simplify 1.0 into 1.0 12.814 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.814 * [taylor]: Taking taylor expansion of 2.0 in k 12.814 * [backup-simplify]: Simplify 2.0 into 2.0 12.814 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.815 * [backup-simplify]: Simplify (+ 1 0) into 1 12.815 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.816 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.817 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.817 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.817 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.817 * [taylor]: Taking taylor expansion of 0.5 in k 12.817 * [backup-simplify]: Simplify 0.5 into 0.5 12.817 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.817 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.817 * [taylor]: Taking taylor expansion of k in k 12.817 * [backup-simplify]: Simplify 0 into 0 12.817 * [backup-simplify]: Simplify 1 into 1 12.818 * [backup-simplify]: Simplify (/ 1 1) into 1 12.818 * [taylor]: Taking taylor expansion of 1.0 in k 12.818 * [backup-simplify]: Simplify 1.0 into 1.0 12.818 * [taylor]: Taking taylor expansion of (log PI) in k 12.818 * [taylor]: Taking taylor expansion of PI in k 12.818 * [backup-simplify]: Simplify PI into PI 12.818 * [backup-simplify]: Simplify (log PI) into (log PI) 12.819 * [backup-simplify]: Simplify (+ 1 0) into 1 12.819 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.820 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.821 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.821 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.821 * [taylor]: Taking taylor expansion of -1 in k 12.821 * [backup-simplify]: Simplify -1 into -1 12.821 * [taylor]: Taking taylor expansion of k in k 12.821 * [backup-simplify]: Simplify 0 into 0 12.821 * [backup-simplify]: Simplify 1 into 1 12.821 * [backup-simplify]: Simplify (/ -1 1) into -1 12.822 * [backup-simplify]: Simplify (sqrt 0) into 0 12.823 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.824 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.826 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.827 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.828 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.830 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 12.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.834 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.837 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.839 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.841 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.842 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 12.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.851 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.855 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.857 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.861 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 12.862 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.862 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.862 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.862 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.862 * [taylor]: Taking taylor expansion of 1.0 in k 12.862 * [backup-simplify]: Simplify 1.0 into 1.0 12.862 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.862 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.862 * [taylor]: Taking taylor expansion of k in k 12.862 * [backup-simplify]: Simplify 0 into 0 12.862 * [backup-simplify]: Simplify 1 into 1 12.862 * [backup-simplify]: Simplify (/ 1 1) into 1 12.863 * [backup-simplify]: Simplify (sqrt 0) into 0 12.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.864 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.864 * [taylor]: Taking taylor expansion of 1.0 in k 12.864 * [backup-simplify]: Simplify 1.0 into 1.0 12.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.864 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.864 * [taylor]: Taking taylor expansion of k in k 12.865 * [backup-simplify]: Simplify 0 into 0 12.865 * [backup-simplify]: Simplify 1 into 1 12.865 * [backup-simplify]: Simplify (/ 1 1) into 1 12.865 * [backup-simplify]: Simplify (sqrt 0) into 0 12.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.867 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.867 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.872 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.874 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.874 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.878 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.879 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.880 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.880 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.880 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.880 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.880 * [taylor]: Taking taylor expansion of 1.0 in k 12.880 * [backup-simplify]: Simplify 1.0 into 1.0 12.880 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.880 * [taylor]: Taking taylor expansion of k in k 12.880 * [backup-simplify]: Simplify 0 into 0 12.880 * [backup-simplify]: Simplify 1 into 1 12.880 * [backup-simplify]: Simplify (sqrt 0) into 0 12.881 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.881 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.881 * [taylor]: Taking taylor expansion of 1.0 in k 12.881 * [backup-simplify]: Simplify 1.0 into 1.0 12.881 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.881 * [taylor]: Taking taylor expansion of k in k 12.881 * [backup-simplify]: Simplify 0 into 0 12.881 * [backup-simplify]: Simplify 1 into 1 12.881 * [backup-simplify]: Simplify (sqrt 0) into 0 12.882 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.883 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.883 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.884 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.886 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.888 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.888 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.891 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.892 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.893 * [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)))))))) 12.893 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.893 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.893 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.893 * [taylor]: Taking taylor expansion of 1.0 in k 12.893 * [backup-simplify]: Simplify 1.0 into 1.0 12.893 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.893 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.893 * [taylor]: Taking taylor expansion of -1 in k 12.893 * [backup-simplify]: Simplify -1 into -1 12.893 * [taylor]: Taking taylor expansion of k in k 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 1 into 1 12.893 * [backup-simplify]: Simplify (/ -1 1) into -1 12.894 * [backup-simplify]: Simplify (sqrt 0) into 0 12.894 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.895 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.895 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.895 * [taylor]: Taking taylor expansion of 1.0 in k 12.895 * [backup-simplify]: Simplify 1.0 into 1.0 12.895 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.895 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.895 * [taylor]: Taking taylor expansion of -1 in k 12.895 * [backup-simplify]: Simplify -1 into -1 12.895 * [taylor]: Taking taylor expansion of k in k 12.895 * [backup-simplify]: Simplify 0 into 0 12.895 * [backup-simplify]: Simplify 1 into 1 12.895 * [backup-simplify]: Simplify (/ -1 1) into -1 12.895 * [backup-simplify]: Simplify (sqrt 0) into 0 12.896 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.896 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.897 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.899 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.901 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.902 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.911 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.911 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.912 * [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))))) 12.913 * * * [progress]: simplifying candidates 12.918 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow 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(- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (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))))) 12.929 * * [simplify]: Extracting # 0 : cost 0 12.929 * * [simplify]: Extracting # 1 : cost 0 12.930 * * [simplify]: Extracting # 2 : cost 0 12.931 * * [simplify]: Extracting # 3 : cost 0 12.932 * * [simplify]: Extracting # 4 : cost 0 12.942 * * [simplify]: Extracting # 5 : cost 0 12.943 * * [simplify]: Extracting # 6 : cost 0 12.943 * * [simplify]: Extracting # 7 : cost 0 12.944 * * [simplify]: Extracting # 8 : cost 0 12.944 * * [simplify]: Extracting # 9 : cost 0 12.945 * * [simplify]: Extracting # 10 : cost 0 12.945 * * [simplify]: Extracting # 11 : cost 0 12.946 * * [simplify]: Extracting # 12 : cost 0 12.947 * * [simplify]: Extracting # 13 : cost 0 12.947 * * [simplify]: Extracting # 14 : cost 0 12.948 * * [simplify]: Extracting # 15 : cost 0 12.948 * * [simplify]: Extracting # 16 : cost 0 12.949 * * [simplify]: Extracting # 17 : cost 0 12.949 * * [simplify]: Extracting # 18 : cost 0 12.950 * * [simplify]: Extracting # 19 : cost 0 12.950 * * [simplify]: Extracting # 20 : cost 0 12.951 * * [simplify]: Extracting # 21 : cost 0 12.951 * * [simplify]: Extracting # 22 : cost 0 12.952 * * [simplify]: Extracting # 23 : cost 0 12.952 * * [simplify]: Extracting # 24 : cost 0 12.953 * * [simplify]: Extracting # 25 : cost 0 12.954 * * [simplify]: Extracting # 26 : cost 0 12.954 * * [simplify]: Extracting # 27 : cost 0 12.955 * * [simplify]: Extracting # 28 : cost 0 12.955 * * [simplify]: Extracting # 29 : cost 0 12.997 * * [simplify]: Extracting # 30 : cost 0 12.998 * * [simplify]: Extracting # 31 : cost 0 13.000 * * [simplify]: Extracting # 32 : cost 0 13.001 * * [simplify]: iteration 0 : 384 enodes (cost 3225 ) 13.174 * * [simplify]: Extracting # 0 : cost 0 13.177 * * [simplify]: Extracting # 1 : cost 0 13.180 * * [simplify]: Extracting # 2 : cost 0 13.183 * * [simplify]: Extracting # 3 : cost 0 13.193 * * [simplify]: Extracting # 4 : cost 0 13.195 * * [simplify]: Extracting # 5 : cost 0 13.197 * * [simplify]: Extracting # 6 : cost 0 13.199 * * [simplify]: iteration 1 : 1040 enodes (cost 2900 ) 13.869 * * [simplify]: Extracting # 0 : cost 0 13.877 * * [simplify]: Extracting # 1 : cost 0 13.886 * * [simplify]: Extracting # 2 : cost 0 13.896 * * [simplify]: Extracting # 3 : cost 0 13.905 * * [simplify]: Extracting # 4 : cost 0 13.913 * * [simplify]: Extracting # 5 : cost 0 13.925 * * [simplify]: Extracting # 6 : cost 0 13.934 * * [simplify]: iteration 2 : 3303 enodes (cost 2698 ) 15.261 * * [simplify]: Extracting # 0 : cost 0 15.268 * * [simplify]: Extracting # 1 : cost 0 15.275 * * [simplify]: Extracting # 2 : cost 0 15.281 * * [simplify]: Extracting # 3 : cost 0 15.287 * * [simplify]: Extracting # 4 : cost 0 15.296 * * [simplify]: iteration done: 5002 enodes (cost 2678 ) 15.299 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (- (fma 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5)) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (fma +nan.0 (- (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (fma (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* +nan.0 (* (pow k 2) (pow (log PI) 2))) (fma (- (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (- (* (pow k 2) (* (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0)) (- (fma (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* +nan.0 k) k) (fma (- (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0 (fma +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (* (pow k 2) (log 2.0)))))) (* k (* (* (log PI) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0))))))) (fma (- +nan.0) (/ (pow (pow PI (- 1.0 k)) 0.5) (/ (pow k 2) (pow 2.0 (* 0.5 (- 1.0 k))))) (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (/ k (pow 2.0 (* 0.5 (- 1.0 k))))) (* (/ (pow 2.0 (* 0.5 (- 1.0 k))) (pow k 3)) (pow (pow PI (- 1.0 k)) 0.5))))) (fma (- (pow (exp 0.5) (fma (- 1.0 k) (log 2.0) (* (- 1.0 k) (log PI))))) +nan.0 (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (/ k (pow 2.0 (* 0.5 (- 1.0 k))))) (/ (pow (pow PI (- 1.0 k)) 0.5) (/ (pow k 2) (pow 2.0 (* 0.5 (- 1.0 k)))))))) (fma (- k) +nan.0 (fma (pow k 2) +nan.0 (- +nan.0))) (- (- (/ (/ +nan.0 k) k) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) 15.301 * * * [progress]: adding candidates to table 16.236 * * [progress]: iteration 4 / 4 16.236 * * * [progress]: picking best candidate 16.265 * * * * [pick]: Picked # 16.265 * * * [progress]: localizing error 16.325 * * * [progress]: generating rewritten candidates 16.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 16.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 16.357 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 16.405 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 16.537 * * * [progress]: generating series expansions 16.537 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 16.538 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 16.538 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 16.538 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 16.538 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.538 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.538 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.538 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.538 * [taylor]: Taking taylor expansion of 0.5 in k 16.538 * [backup-simplify]: Simplify 0.5 into 0.5 16.538 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.538 * [taylor]: Taking taylor expansion of 1.0 in k 16.538 * [backup-simplify]: Simplify 1.0 into 1.0 16.538 * [taylor]: Taking taylor expansion of k in k 16.538 * [backup-simplify]: Simplify 0 into 0 16.538 * [backup-simplify]: Simplify 1 into 1 16.538 * [taylor]: Taking taylor expansion of (log n) in k 16.538 * [taylor]: Taking taylor expansion of n in k 16.538 * [backup-simplify]: Simplify n into n 16.538 * [backup-simplify]: Simplify (log n) into (log n) 16.539 * [backup-simplify]: Simplify (- 0) into 0 16.539 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.539 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.539 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.540 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.540 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 16.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 16.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 16.540 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.540 * [taylor]: Taking taylor expansion of 0.5 in n 16.540 * [backup-simplify]: Simplify 0.5 into 0.5 16.540 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.540 * [taylor]: Taking taylor expansion of 1.0 in n 16.540 * [backup-simplify]: Simplify 1.0 into 1.0 16.540 * [taylor]: Taking taylor expansion of k in n 16.540 * [backup-simplify]: Simplify k into k 16.540 * [taylor]: Taking taylor expansion of (log n) in n 16.540 * [taylor]: Taking taylor expansion of n in n 16.540 * [backup-simplify]: Simplify 0 into 0 16.540 * [backup-simplify]: Simplify 1 into 1 16.540 * [backup-simplify]: Simplify (log 1) into 0 16.540 * [backup-simplify]: Simplify (- k) into (- k) 16.540 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.540 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.541 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.541 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 16.541 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 16.541 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 16.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 16.541 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 16.541 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.541 * [taylor]: Taking taylor expansion of 0.5 in n 16.541 * [backup-simplify]: Simplify 0.5 into 0.5 16.541 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.541 * [taylor]: Taking taylor expansion of 1.0 in n 16.541 * [backup-simplify]: Simplify 1.0 into 1.0 16.541 * [taylor]: Taking taylor expansion of k in n 16.541 * [backup-simplify]: Simplify k into k 16.541 * [taylor]: Taking taylor expansion of (log n) in n 16.541 * [taylor]: Taking taylor expansion of n in n 16.541 * [backup-simplify]: Simplify 0 into 0 16.541 * [backup-simplify]: Simplify 1 into 1 16.541 * [backup-simplify]: Simplify (log 1) into 0 16.541 * [backup-simplify]: Simplify (- k) into (- k) 16.541 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.541 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.542 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.542 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 16.542 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 16.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 16.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 16.542 * [taylor]: Taking taylor expansion of 0.5 in k 16.542 * [backup-simplify]: Simplify 0.5 into 0.5 16.542 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 16.542 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.542 * [taylor]: Taking taylor expansion of 1.0 in k 16.542 * [backup-simplify]: Simplify 1.0 into 1.0 16.542 * [taylor]: Taking taylor expansion of k in k 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 1 into 1 16.542 * [taylor]: Taking taylor expansion of (log n) in k 16.542 * [taylor]: Taking taylor expansion of n in k 16.542 * [backup-simplify]: Simplify n into n 16.542 * [backup-simplify]: Simplify (log n) into (log n) 16.542 * [backup-simplify]: Simplify (- 0) into 0 16.543 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.543 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.543 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 16.543 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.543 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 16.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.544 * [backup-simplify]: Simplify (- 0) into 0 16.544 * [backup-simplify]: Simplify (+ 0 0) into 0 16.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.545 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.545 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 16.546 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.546 * [taylor]: Taking taylor expansion of 0 in k 16.546 * [backup-simplify]: Simplify 0 into 0 16.546 * [backup-simplify]: Simplify 0 into 0 16.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.546 * [backup-simplify]: Simplify (- 1) into -1 16.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.547 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 16.547 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 16.547 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 16.548 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 16.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.549 * [backup-simplify]: Simplify (- 0) into 0 16.550 * [backup-simplify]: Simplify (+ 0 0) into 0 16.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.551 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.551 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.552 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.552 * [taylor]: Taking taylor expansion of 0 in k 16.552 * [backup-simplify]: Simplify 0 into 0 16.552 * [backup-simplify]: Simplify 0 into 0 16.552 * [backup-simplify]: Simplify 0 into 0 16.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.553 * [backup-simplify]: Simplify (- 0) into 0 16.553 * [backup-simplify]: Simplify (+ 0 0) into 0 16.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 16.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 16.555 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 16.555 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 16.556 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 16.556 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 16.556 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.556 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.556 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.556 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.556 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.556 * [taylor]: Taking taylor expansion of 0.5 in k 16.556 * [backup-simplify]: Simplify 0.5 into 0.5 16.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.556 * [taylor]: Taking taylor expansion of 1.0 in k 16.556 * [backup-simplify]: Simplify 1.0 into 1.0 16.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.556 * [taylor]: Taking taylor expansion of k in k 16.556 * [backup-simplify]: Simplify 0 into 0 16.556 * [backup-simplify]: Simplify 1 into 1 16.557 * [backup-simplify]: Simplify (/ 1 1) into 1 16.557 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.557 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.557 * [taylor]: Taking taylor expansion of n in k 16.557 * [backup-simplify]: Simplify n into n 16.557 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.557 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.557 * [backup-simplify]: Simplify (- 1) into -1 16.557 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.557 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.558 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 16.558 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.558 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.558 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.558 * [taylor]: Taking taylor expansion of 0.5 in n 16.558 * [backup-simplify]: Simplify 0.5 into 0.5 16.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.558 * [taylor]: Taking taylor expansion of 1.0 in n 16.558 * [backup-simplify]: Simplify 1.0 into 1.0 16.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.558 * [taylor]: Taking taylor expansion of k in n 16.558 * [backup-simplify]: Simplify k into k 16.558 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.558 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.558 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.558 * [taylor]: Taking taylor expansion of n in n 16.558 * [backup-simplify]: Simplify 0 into 0 16.558 * [backup-simplify]: Simplify 1 into 1 16.558 * [backup-simplify]: Simplify (/ 1 1) into 1 16.559 * [backup-simplify]: Simplify (log 1) into 0 16.559 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.559 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.559 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.559 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.559 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 16.559 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.559 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.559 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.559 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.559 * [taylor]: Taking taylor expansion of 0.5 in n 16.559 * [backup-simplify]: Simplify 0.5 into 0.5 16.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.559 * [taylor]: Taking taylor expansion of 1.0 in n 16.559 * [backup-simplify]: Simplify 1.0 into 1.0 16.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.560 * [taylor]: Taking taylor expansion of k in n 16.560 * [backup-simplify]: Simplify k into k 16.560 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.560 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.560 * [taylor]: Taking taylor expansion of n in n 16.560 * [backup-simplify]: Simplify 0 into 0 16.560 * [backup-simplify]: Simplify 1 into 1 16.560 * [backup-simplify]: Simplify (/ 1 1) into 1 16.560 * [backup-simplify]: Simplify (log 1) into 0 16.560 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.560 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.560 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.561 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.561 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 16.561 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.561 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 16.561 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 16.561 * [taylor]: Taking taylor expansion of -0.5 in k 16.561 * [backup-simplify]: Simplify -0.5 into -0.5 16.561 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 16.561 * [taylor]: Taking taylor expansion of (log n) in k 16.561 * [taylor]: Taking taylor expansion of n in k 16.561 * [backup-simplify]: Simplify n into n 16.561 * [backup-simplify]: Simplify (log n) into (log n) 16.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.561 * [taylor]: Taking taylor expansion of 1.0 in k 16.561 * [backup-simplify]: Simplify 1.0 into 1.0 16.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.561 * [taylor]: Taking taylor expansion of k in k 16.561 * [backup-simplify]: Simplify 0 into 0 16.561 * [backup-simplify]: Simplify 1 into 1 16.562 * [backup-simplify]: Simplify (/ 1 1) into 1 16.562 * [backup-simplify]: Simplify (- 1) into -1 16.562 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.562 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 16.562 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 16.562 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.562 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.564 * [backup-simplify]: Simplify (- 0) into 0 16.564 * [backup-simplify]: Simplify (+ 0 0) into 0 16.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.565 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.565 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 16.566 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.566 * [taylor]: Taking taylor expansion of 0 in k 16.566 * [backup-simplify]: Simplify 0 into 0 16.566 * [backup-simplify]: Simplify 0 into 0 16.566 * [backup-simplify]: Simplify 0 into 0 16.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.569 * [backup-simplify]: Simplify (- 0) into 0 16.569 * [backup-simplify]: Simplify (+ 0 0) into 0 16.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.570 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.571 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.571 * [taylor]: Taking taylor expansion of 0 in k 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.574 * [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 16.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.575 * [backup-simplify]: Simplify (- 0) into 0 16.575 * [backup-simplify]: Simplify (+ 0 0) into 0 16.576 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.577 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.578 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.578 * [taylor]: Taking taylor expansion of 0 in k 16.578 * [backup-simplify]: Simplify 0 into 0 16.578 * [backup-simplify]: Simplify 0 into 0 16.578 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 16.578 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 16.578 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.578 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.578 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.578 * [taylor]: Taking taylor expansion of 0.5 in k 16.578 * [backup-simplify]: Simplify 0.5 into 0.5 16.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.578 * [taylor]: Taking taylor expansion of k in k 16.578 * [backup-simplify]: Simplify 0 into 0 16.578 * [backup-simplify]: Simplify 1 into 1 16.579 * [backup-simplify]: Simplify (/ 1 1) into 1 16.579 * [taylor]: Taking taylor expansion of 1.0 in k 16.579 * [backup-simplify]: Simplify 1.0 into 1.0 16.579 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.579 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.579 * [taylor]: Taking taylor expansion of -1 in k 16.579 * [backup-simplify]: Simplify -1 into -1 16.579 * [taylor]: Taking taylor expansion of n in k 16.579 * [backup-simplify]: Simplify n into n 16.579 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.579 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.579 * [backup-simplify]: Simplify (+ 1 0) into 1 16.579 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.580 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 16.580 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.580 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.580 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.580 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.580 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.580 * [taylor]: Taking taylor expansion of 0.5 in n 16.580 * [backup-simplify]: Simplify 0.5 into 0.5 16.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.580 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.580 * [taylor]: Taking taylor expansion of k in n 16.580 * [backup-simplify]: Simplify k into k 16.580 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.580 * [taylor]: Taking taylor expansion of 1.0 in n 16.580 * [backup-simplify]: Simplify 1.0 into 1.0 16.580 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.580 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.580 * [taylor]: Taking taylor expansion of -1 in n 16.580 * [backup-simplify]: Simplify -1 into -1 16.580 * [taylor]: Taking taylor expansion of n in n 16.580 * [backup-simplify]: Simplify 0 into 0 16.580 * [backup-simplify]: Simplify 1 into 1 16.580 * [backup-simplify]: Simplify (/ -1 1) into -1 16.581 * [backup-simplify]: Simplify (log -1) into (log -1) 16.581 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.581 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.582 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.582 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.582 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.582 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.582 * [taylor]: Taking taylor expansion of 0.5 in n 16.582 * [backup-simplify]: Simplify 0.5 into 0.5 16.582 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.582 * [taylor]: Taking taylor expansion of k in n 16.582 * [backup-simplify]: Simplify k into k 16.582 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.582 * [taylor]: Taking taylor expansion of 1.0 in n 16.582 * [backup-simplify]: Simplify 1.0 into 1.0 16.582 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.582 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.582 * [taylor]: Taking taylor expansion of -1 in n 16.582 * [backup-simplify]: Simplify -1 into -1 16.582 * [taylor]: Taking taylor expansion of n in n 16.582 * [backup-simplify]: Simplify 0 into 0 16.582 * [backup-simplify]: Simplify 1 into 1 16.583 * [backup-simplify]: Simplify (/ -1 1) into -1 16.583 * [backup-simplify]: Simplify (log -1) into (log -1) 16.583 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.583 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.584 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.584 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 16.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 16.585 * [taylor]: Taking taylor expansion of 0.5 in k 16.585 * [backup-simplify]: Simplify 0.5 into 0.5 16.585 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 16.585 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 16.585 * [taylor]: Taking taylor expansion of (log -1) in k 16.585 * [taylor]: Taking taylor expansion of -1 in k 16.585 * [backup-simplify]: Simplify -1 into -1 16.585 * [backup-simplify]: Simplify (log -1) into (log -1) 16.585 * [taylor]: Taking taylor expansion of (log n) in k 16.585 * [taylor]: Taking taylor expansion of n in k 16.585 * [backup-simplify]: Simplify n into n 16.585 * [backup-simplify]: Simplify (log n) into (log n) 16.585 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.585 * [taylor]: Taking taylor expansion of k in k 16.585 * [backup-simplify]: Simplify 0 into 0 16.585 * [backup-simplify]: Simplify 1 into 1 16.585 * [backup-simplify]: Simplify (/ 1 1) into 1 16.585 * [taylor]: Taking taylor expansion of 1.0 in k 16.585 * [backup-simplify]: Simplify 1.0 into 1.0 16.585 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.586 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 16.586 * [backup-simplify]: Simplify (+ 1 0) into 1 16.586 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 16.587 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 16.587 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.587 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.589 * [backup-simplify]: Simplify (+ 0 0) into 0 16.589 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.590 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 16.591 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.591 * [taylor]: Taking taylor expansion of 0 in k 16.591 * [backup-simplify]: Simplify 0 into 0 16.591 * [backup-simplify]: Simplify 0 into 0 16.591 * [backup-simplify]: Simplify 0 into 0 16.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 16.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.594 * [backup-simplify]: Simplify (+ 0 0) into 0 16.594 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.595 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 16.596 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.596 * [taylor]: Taking taylor expansion of 0 in k 16.596 * [backup-simplify]: Simplify 0 into 0 16.597 * [backup-simplify]: Simplify 0 into 0 16.597 * [backup-simplify]: Simplify 0 into 0 16.597 * [backup-simplify]: Simplify 0 into 0 16.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.600 * [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 16.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.601 * [backup-simplify]: Simplify (+ 0 0) into 0 16.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.603 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 16.604 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.604 * [taylor]: Taking taylor expansion of 0 in k 16.604 * [backup-simplify]: Simplify 0 into 0 16.604 * [backup-simplify]: Simplify 0 into 0 16.605 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 16.605 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 16.607 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) 16.607 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in (k) around 0 16.607 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in k 16.607 * [taylor]: Taking taylor expansion of 1.0 in k 16.607 * [backup-simplify]: Simplify 1.0 into 1.0 16.607 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k))))) in k 16.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.607 * [taylor]: Taking taylor expansion of k in k 16.607 * [backup-simplify]: Simplify 0 into 0 16.607 * [backup-simplify]: Simplify 1 into 1 16.607 * [backup-simplify]: Simplify (/ 1 1) into 1 16.608 * [backup-simplify]: Simplify (sqrt 0) into 0 16.609 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.609 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))) in k 16.609 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.609 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.609 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.609 * [taylor]: Taking taylor expansion of 0.5 in k 16.609 * [backup-simplify]: Simplify 0.5 into 0.5 16.609 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.609 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.609 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.609 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.609 * [taylor]: Taking taylor expansion of 1.0 in k 16.609 * [backup-simplify]: Simplify 1.0 into 1.0 16.609 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.609 * [taylor]: Taking taylor expansion of 2.0 in k 16.609 * [backup-simplify]: Simplify 2.0 into 2.0 16.609 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.610 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.611 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.611 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.611 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.611 * [taylor]: Taking taylor expansion of 1.0 in k 16.611 * [backup-simplify]: Simplify 1.0 into 1.0 16.611 * [taylor]: Taking taylor expansion of (log PI) in k 16.611 * [taylor]: Taking taylor expansion of PI in k 16.611 * [backup-simplify]: Simplify PI into PI 16.611 * [backup-simplify]: Simplify (log PI) into (log PI) 16.612 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.613 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.614 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.616 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.626 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.632 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.632 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (* 0.5 k))) in k 16.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 16.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 16.632 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 16.632 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 16.632 * [taylor]: Taking taylor expansion of 0.5 in k 16.632 * [backup-simplify]: Simplify 0.5 into 0.5 16.632 * [taylor]: Taking taylor expansion of k in k 16.632 * [backup-simplify]: Simplify 0 into 0 16.632 * [backup-simplify]: Simplify 1 into 1 16.632 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.632 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.632 * [taylor]: Taking taylor expansion of 2.0 in k 16.632 * [backup-simplify]: Simplify 2.0 into 2.0 16.632 * [taylor]: Taking taylor expansion of PI in k 16.632 * [backup-simplify]: Simplify PI into PI 16.632 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.633 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.633 * [backup-simplify]: Simplify (* 0.5 0) into 0 16.634 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 16.634 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.636 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 16.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 16.638 * [backup-simplify]: Simplify (exp 0) into 1 16.638 * [backup-simplify]: Simplify (/ 1 1) into 1 16.638 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in k 16.638 * [taylor]: Taking taylor expansion of 1.0 in k 16.638 * [backup-simplify]: Simplify 1.0 into 1.0 16.638 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k))))) in k 16.638 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.638 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.638 * [taylor]: Taking taylor expansion of k in k 16.639 * [backup-simplify]: Simplify 0 into 0 16.639 * [backup-simplify]: Simplify 1 into 1 16.639 * [backup-simplify]: Simplify (/ 1 1) into 1 16.639 * [backup-simplify]: Simplify (sqrt 0) into 0 16.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.640 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))) in k 16.640 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.640 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.640 * [taylor]: Taking taylor expansion of 0.5 in k 16.640 * [backup-simplify]: Simplify 0.5 into 0.5 16.640 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.640 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.640 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.640 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.640 * [taylor]: Taking taylor expansion of 1.0 in k 16.640 * [backup-simplify]: Simplify 1.0 into 1.0 16.640 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.640 * [taylor]: Taking taylor expansion of 2.0 in k 16.640 * [backup-simplify]: Simplify 2.0 into 2.0 16.641 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.641 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.642 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.642 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.642 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.642 * [taylor]: Taking taylor expansion of 1.0 in k 16.642 * [backup-simplify]: Simplify 1.0 into 1.0 16.642 * [taylor]: Taking taylor expansion of (log PI) in k 16.642 * [taylor]: Taking taylor expansion of PI in k 16.642 * [backup-simplify]: Simplify PI into PI 16.642 * [backup-simplify]: Simplify (log PI) into (log PI) 16.643 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.644 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.645 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.647 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.651 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.660 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.660 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (* 0.5 k))) in k 16.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 16.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 16.661 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 16.661 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 16.661 * [taylor]: Taking taylor expansion of 0.5 in k 16.661 * [backup-simplify]: Simplify 0.5 into 0.5 16.661 * [taylor]: Taking taylor expansion of k in k 16.661 * [backup-simplify]: Simplify 0 into 0 16.661 * [backup-simplify]: Simplify 1 into 1 16.661 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.661 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.661 * [taylor]: Taking taylor expansion of 2.0 in k 16.661 * [backup-simplify]: Simplify 2.0 into 2.0 16.661 * [taylor]: Taking taylor expansion of PI in k 16.661 * [backup-simplify]: Simplify PI into PI 16.661 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.662 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.663 * [backup-simplify]: Simplify (* 0.5 0) into 0 16.664 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 16.664 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.668 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 16.671 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 16.671 * [backup-simplify]: Simplify (exp 0) into 1 16.672 * [backup-simplify]: Simplify (/ 1 1) into 1 16.682 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 1) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 16.683 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 16.683 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.684 * [backup-simplify]: Simplify 0 into 0 16.688 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1)))) into (* 0.5 (log (* 2.0 PI))) 16.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (* 0.5 (log (* 2.0 PI)))) 16.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.693 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 16.694 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 16.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.696 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 16.696 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 16.697 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 16.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 16.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 16.701 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.711 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* 0.5 (log (* 2.0 PI))))) (* 0 1)) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 16.716 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 16.732 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 16.735 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 16.736 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.738 * [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 16.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 16.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (log (* 2.0 PI))))) into 0 16.745 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 16.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (- (* 0.5 (log (* 2.0 PI)))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 16.757 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.758 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 16.759 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.761 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 16.761 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 16.763 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.764 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 16.766 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 16.767 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 16.770 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.781 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (pow (log (* 2.0 PI)) 2))) (+ (* 0 (- (* 0.5 (log (* 2.0 PI))))) (* 0 1))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 16.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.784 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.797 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (* +nan.0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 16.813 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 16.829 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 16.830 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.834 * [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 16.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 16.844 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 3) 6)) (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 16.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 1)) (* (- (* 0.5 (log (* 2.0 PI)))) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (* 0.125 (pow (log (* 2.0 PI)) 2)) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (* 0.02083333333333333 (pow (log (* 2.0 PI)) 3))) 16.867 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 16.869 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 16.872 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.877 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 16.879 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 16.882 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.884 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 1.0))))) into 0 16.892 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 6) into 0 16.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))))) into 0 16.899 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.925 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* 0.02083333333333333 (pow (log (* 2.0 PI)) 3)))) (+ (* 0 (* 0.125 (pow (log (* 2.0 PI)) 2))) (+ (* 0 (- (* 0.5 (log (* 2.0 PI))))) (* 0 1)))) into (- (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 16.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.986 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (* +nan.0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 17.045 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 17.084 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 17.129 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 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 PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 17.132 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (/ (/ 1 k) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) 17.132 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in (k) around 0 17.132 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in k 17.133 * [taylor]: Taking taylor expansion of 1.0 in k 17.133 * [backup-simplify]: Simplify 1.0 into 1.0 17.133 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k))))) in k 17.133 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.133 * [taylor]: Taking taylor expansion of k in k 17.133 * [backup-simplify]: Simplify 0 into 0 17.133 * [backup-simplify]: Simplify 1 into 1 17.133 * [backup-simplify]: Simplify (sqrt 0) into 0 17.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.134 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))) in k 17.134 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 17.135 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 17.135 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 17.135 * [taylor]: Taking taylor expansion of 0.5 in k 17.135 * [backup-simplify]: Simplify 0.5 into 0.5 17.135 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 17.135 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 17.135 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.135 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.135 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.135 * [taylor]: Taking taylor expansion of 1.0 in k 17.135 * [backup-simplify]: Simplify 1.0 into 1.0 17.135 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.135 * [taylor]: Taking taylor expansion of 2.0 in k 17.135 * [backup-simplify]: Simplify 2.0 into 2.0 17.135 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.136 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.138 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.138 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.138 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.138 * [taylor]: Taking taylor expansion of 1.0 in k 17.138 * [backup-simplify]: Simplify 1.0 into 1.0 17.138 * [taylor]: Taking taylor expansion of (log PI) in k 17.138 * [taylor]: Taking taylor expansion of PI in k 17.138 * [backup-simplify]: Simplify PI into PI 17.139 * [backup-simplify]: Simplify (log PI) into (log PI) 17.140 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.142 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.143 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.147 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.154 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.164 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.164 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (/ 0.5 k))) in k 17.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 17.164 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 17.164 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 17.164 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 17.164 * [taylor]: Taking taylor expansion of 0.5 in k 17.164 * [backup-simplify]: Simplify 0.5 into 0.5 17.164 * [taylor]: Taking taylor expansion of k in k 17.164 * [backup-simplify]: Simplify 0 into 0 17.164 * [backup-simplify]: Simplify 1 into 1 17.165 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 17.165 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.165 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.165 * [taylor]: Taking taylor expansion of 2.0 in k 17.165 * [backup-simplify]: Simplify 2.0 into 2.0 17.165 * [taylor]: Taking taylor expansion of PI in k 17.165 * [backup-simplify]: Simplify PI into PI 17.165 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.166 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.168 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 17.169 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.170 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.170 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in k 17.171 * [taylor]: Taking taylor expansion of 1.0 in k 17.171 * [backup-simplify]: Simplify 1.0 into 1.0 17.171 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k))))) in k 17.171 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.171 * [taylor]: Taking taylor expansion of k in k 17.171 * [backup-simplify]: Simplify 0 into 0 17.171 * [backup-simplify]: Simplify 1 into 1 17.171 * [backup-simplify]: Simplify (sqrt 0) into 0 17.172 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.173 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))) in k 17.173 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 17.173 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 17.173 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 17.173 * [taylor]: Taking taylor expansion of 0.5 in k 17.173 * [backup-simplify]: Simplify 0.5 into 0.5 17.173 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 17.173 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 17.173 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.173 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.173 * [taylor]: Taking taylor expansion of 1.0 in k 17.173 * [backup-simplify]: Simplify 1.0 into 1.0 17.173 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.173 * [taylor]: Taking taylor expansion of 2.0 in k 17.173 * [backup-simplify]: Simplify 2.0 into 2.0 17.173 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.174 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.176 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.176 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.176 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.176 * [taylor]: Taking taylor expansion of 1.0 in k 17.176 * [backup-simplify]: Simplify 1.0 into 1.0 17.176 * [taylor]: Taking taylor expansion of (log PI) in k 17.176 * [taylor]: Taking taylor expansion of PI in k 17.176 * [backup-simplify]: Simplify PI into PI 17.177 * [backup-simplify]: Simplify (log PI) into (log PI) 17.178 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.179 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.181 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.184 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.187 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.193 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.193 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (/ 0.5 k))) in k 17.193 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 17.193 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 17.193 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 17.193 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 17.193 * [taylor]: Taking taylor expansion of 0.5 in k 17.193 * [backup-simplify]: Simplify 0.5 into 0.5 17.193 * [taylor]: Taking taylor expansion of k in k 17.193 * [backup-simplify]: Simplify 0 into 0 17.193 * [backup-simplify]: Simplify 1 into 1 17.193 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 17.193 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.194 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.194 * [taylor]: Taking taylor expansion of 2.0 in k 17.194 * [backup-simplify]: Simplify 2.0 into 2.0 17.194 * [taylor]: Taking taylor expansion of PI in k 17.194 * [backup-simplify]: Simplify PI into PI 17.194 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.195 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.196 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 17.196 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.197 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.202 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 17.205 * [backup-simplify]: Simplify (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 17.205 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.205 * [backup-simplify]: Simplify 0 into 0 17.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.208 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.209 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.210 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.211 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.212 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 17.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 17.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 17.222 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.224 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 17.227 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.230 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0)) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.233 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 17.237 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 17.238 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 17.243 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 17.245 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.247 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 17.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 17.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 17.259 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.264 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.267 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.280 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.284 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.295 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 17.295 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 17.297 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.300 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 17.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 17.302 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.303 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 1.0))))) into 0 17.307 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 6) into 0 17.308 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))))) into 0 17.311 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.313 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into 0 17.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.330 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.335 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.358 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 17.362 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 (- k))) (pow (* 2.0 PI) (/ (/ 1 (- k)) 2.0)))) into (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) 17.362 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in (k) around 0 17.362 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in k 17.362 * [taylor]: Taking taylor expansion of 1.0 in k 17.362 * [backup-simplify]: Simplify 1.0 into 1.0 17.362 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))))) in k 17.362 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 17.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 17.363 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 17.363 * [taylor]: Taking taylor expansion of 0.5 in k 17.363 * [backup-simplify]: Simplify 0.5 into 0.5 17.363 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 17.363 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 17.363 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.363 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.363 * [taylor]: Taking taylor expansion of 1.0 in k 17.363 * [backup-simplify]: Simplify 1.0 into 1.0 17.363 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.363 * [taylor]: Taking taylor expansion of 2.0 in k 17.363 * [backup-simplify]: Simplify 2.0 into 2.0 17.363 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.364 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.366 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.366 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.366 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.366 * [taylor]: Taking taylor expansion of 1.0 in k 17.366 * [backup-simplify]: Simplify 1.0 into 1.0 17.366 * [taylor]: Taking taylor expansion of (log PI) in k 17.366 * [taylor]: Taking taylor expansion of PI in k 17.366 * [backup-simplify]: Simplify PI into PI 17.367 * [backup-simplify]: Simplify (log PI) into (log PI) 17.368 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.369 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.371 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.373 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.377 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.382 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.382 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 17.382 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 17.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.382 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.383 * [taylor]: Taking taylor expansion of -1 in k 17.383 * [backup-simplify]: Simplify -1 into -1 17.383 * [taylor]: Taking taylor expansion of k in k 17.383 * [backup-simplify]: Simplify 0 into 0 17.383 * [backup-simplify]: Simplify 1 into 1 17.383 * [backup-simplify]: Simplify (/ -1 1) into -1 17.383 * [backup-simplify]: Simplify (sqrt 0) into 0 17.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.384 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 17.384 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 17.384 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 17.384 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 17.384 * [taylor]: Taking taylor expansion of -0.5 in k 17.384 * [backup-simplify]: Simplify -0.5 into -0.5 17.384 * [taylor]: Taking taylor expansion of k in k 17.384 * [backup-simplify]: Simplify 0 into 0 17.384 * [backup-simplify]: Simplify 1 into 1 17.385 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 17.385 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.385 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.385 * [taylor]: Taking taylor expansion of 2.0 in k 17.385 * [backup-simplify]: Simplify 2.0 into 2.0 17.385 * [taylor]: Taking taylor expansion of PI in k 17.385 * [backup-simplify]: Simplify PI into PI 17.385 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.386 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.387 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 17.387 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 17.388 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 17.389 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.390 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 17.390 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in k 17.390 * [taylor]: Taking taylor expansion of 1.0 in k 17.390 * [backup-simplify]: Simplify 1.0 into 1.0 17.390 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))))) in k 17.390 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 17.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 17.390 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 17.390 * [taylor]: Taking taylor expansion of 0.5 in k 17.390 * [backup-simplify]: Simplify 0.5 into 0.5 17.390 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 17.390 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 17.390 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.390 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.390 * [taylor]: Taking taylor expansion of 1.0 in k 17.390 * [backup-simplify]: Simplify 1.0 into 1.0 17.390 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.390 * [taylor]: Taking taylor expansion of 2.0 in k 17.390 * [backup-simplify]: Simplify 2.0 into 2.0 17.390 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.391 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.392 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.392 * [taylor]: Taking taylor expansion of 1.0 in k 17.392 * [backup-simplify]: Simplify 1.0 into 1.0 17.392 * [taylor]: Taking taylor expansion of (log PI) in k 17.392 * [taylor]: Taking taylor expansion of PI in k 17.392 * [backup-simplify]: Simplify PI into PI 17.392 * [backup-simplify]: Simplify (log PI) into (log PI) 17.393 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.394 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.395 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.397 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.401 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.407 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.407 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 17.407 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 17.407 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.407 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.407 * [taylor]: Taking taylor expansion of -1 in k 17.407 * [backup-simplify]: Simplify -1 into -1 17.407 * [taylor]: Taking taylor expansion of k in k 17.407 * [backup-simplify]: Simplify 0 into 0 17.407 * [backup-simplify]: Simplify 1 into 1 17.407 * [backup-simplify]: Simplify (/ -1 1) into -1 17.407 * [backup-simplify]: Simplify (sqrt 0) into 0 17.408 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 17.408 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 17.408 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 17.408 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 17.408 * [taylor]: Taking taylor expansion of -0.5 in k 17.408 * [backup-simplify]: Simplify -0.5 into -0.5 17.408 * [taylor]: Taking taylor expansion of k in k 17.408 * [backup-simplify]: Simplify 0 into 0 17.408 * [backup-simplify]: Simplify 1 into 1 17.408 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 17.409 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.409 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.409 * [taylor]: Taking taylor expansion of 2.0 in k 17.409 * [backup-simplify]: Simplify 2.0 into 2.0 17.409 * [taylor]: Taking taylor expansion of PI in k 17.409 * [backup-simplify]: Simplify PI into PI 17.409 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.410 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.411 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 17.411 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 17.412 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 17.413 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.414 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 17.419 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 17.421 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 17.424 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 17.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.426 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.431 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 17.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.433 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.435 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.437 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.439 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.441 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 17.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 17.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 17.449 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.468 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* 0 (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 17.473 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 17.476 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 17.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.485 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 17.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 17.487 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 17.489 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 17.491 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 17.492 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.494 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 17.496 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 17.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 17.501 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.514 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (+ (* 0 (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* 0 (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 17.526 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 17.531 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 17.544 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k))))))))) (/ 1 (- k))) (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (* k (log (* 2.0 PI)))))))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 17.544 * * * * [progress]: [ 4 / 4 ] generating series at (2) 17.548 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 17.548 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in (k n) around 0 17.548 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 17.548 * [taylor]: Taking taylor expansion of 1.0 in n 17.548 * [backup-simplify]: Simplify 1.0 into 1.0 17.548 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 17.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 17.548 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.548 * [taylor]: Taking taylor expansion of k in n 17.548 * [backup-simplify]: Simplify k into k 17.548 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.549 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 17.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 17.549 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 17.549 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in n 17.549 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 17.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 17.549 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 17.549 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 17.549 * [taylor]: Taking taylor expansion of 0.5 in n 17.549 * [backup-simplify]: Simplify 0.5 into 0.5 17.549 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.549 * [taylor]: Taking taylor expansion of 1.0 in n 17.549 * [backup-simplify]: Simplify 1.0 into 1.0 17.549 * [taylor]: Taking taylor expansion of k in n 17.549 * [backup-simplify]: Simplify k into k 17.549 * [taylor]: Taking taylor expansion of (log n) in n 17.549 * [taylor]: Taking taylor expansion of n in n 17.549 * [backup-simplify]: Simplify 0 into 0 17.549 * [backup-simplify]: Simplify 1 into 1 17.550 * [backup-simplify]: Simplify (log 1) into 0 17.550 * [backup-simplify]: Simplify (- k) into (- k) 17.550 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.550 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 17.550 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.551 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 17.551 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 17.551 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in n 17.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in n 17.551 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in n 17.551 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 17.551 * [taylor]: Taking taylor expansion of 0.5 in n 17.551 * [backup-simplify]: Simplify 0.5 into 0.5 17.551 * [taylor]: Taking taylor expansion of k in n 17.551 * [backup-simplify]: Simplify k into k 17.551 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.551 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.551 * [taylor]: Taking taylor expansion of 2.0 in n 17.551 * [backup-simplify]: Simplify 2.0 into 2.0 17.551 * [taylor]: Taking taylor expansion of PI in n 17.551 * [backup-simplify]: Simplify PI into PI 17.552 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.553 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.553 * [backup-simplify]: Simplify (* 0.5 k) into (* 0.5 k) 17.554 * [backup-simplify]: Simplify (* (* 0.5 k) (log (* 2.0 PI))) into (* 0.5 (* k (log (* 2.0 PI)))) 17.555 * [backup-simplify]: Simplify (exp (* 0.5 (* k (log (* 2.0 PI))))) into (exp (* 0.5 (* k (log (* 2.0 PI))))) 17.557 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- 1.0 k) (log n)))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) into (/ (exp (* 0.5 (* (- 1.0 k) (log n)))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) 17.557 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 17.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 17.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 17.557 * [taylor]: Taking taylor expansion of 0.5 in n 17.557 * [backup-simplify]: Simplify 0.5 into 0.5 17.557 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 17.557 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 17.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.557 * [taylor]: Taking taylor expansion of 1.0 in n 17.557 * [backup-simplify]: Simplify 1.0 into 1.0 17.557 * [taylor]: Taking taylor expansion of (log PI) in n 17.557 * [taylor]: Taking taylor expansion of PI in n 17.557 * [backup-simplify]: Simplify PI into PI 17.558 * [backup-simplify]: Simplify (log PI) into (log PI) 17.559 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.560 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.560 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.560 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.560 * [taylor]: Taking taylor expansion of 1.0 in n 17.560 * [backup-simplify]: Simplify 1.0 into 1.0 17.560 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.560 * [taylor]: Taking taylor expansion of 2.0 in n 17.560 * [backup-simplify]: Simplify 2.0 into 2.0 17.561 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.562 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.563 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.566 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.570 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.577 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.587 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.588 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in k 17.588 * [taylor]: Taking taylor expansion of 1.0 in k 17.588 * [backup-simplify]: Simplify 1.0 into 1.0 17.588 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 17.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.588 * [taylor]: Taking taylor expansion of k in k 17.588 * [backup-simplify]: Simplify 0 into 0 17.588 * [backup-simplify]: Simplify 1 into 1 17.588 * [backup-simplify]: Simplify (/ 1 1) into 1 17.589 * [backup-simplify]: Simplify (sqrt 0) into 0 17.590 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.590 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 17.590 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in k 17.590 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 17.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 17.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 17.590 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 17.590 * [taylor]: Taking taylor expansion of 0.5 in k 17.590 * [backup-simplify]: Simplify 0.5 into 0.5 17.590 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.591 * [taylor]: Taking taylor expansion of 1.0 in k 17.591 * [backup-simplify]: Simplify 1.0 into 1.0 17.591 * [taylor]: Taking taylor expansion of k in k 17.591 * [backup-simplify]: Simplify 0 into 0 17.591 * [backup-simplify]: Simplify 1 into 1 17.591 * [taylor]: Taking taylor expansion of (log n) in k 17.591 * [taylor]: Taking taylor expansion of n in k 17.591 * [backup-simplify]: Simplify n into n 17.591 * [backup-simplify]: Simplify (log n) into (log n) 17.591 * [backup-simplify]: Simplify (- 0) into 0 17.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.592 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 17.592 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 17.592 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 17.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 17.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 17.592 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 17.593 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 17.593 * [taylor]: Taking taylor expansion of 0.5 in k 17.593 * [backup-simplify]: Simplify 0.5 into 0.5 17.593 * [taylor]: Taking taylor expansion of k in k 17.593 * [backup-simplify]: Simplify 0 into 0 17.593 * [backup-simplify]: Simplify 1 into 1 17.593 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.593 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.593 * [taylor]: Taking taylor expansion of 2.0 in k 17.593 * [backup-simplify]: Simplify 2.0 into 2.0 17.593 * [taylor]: Taking taylor expansion of PI in k 17.593 * [backup-simplify]: Simplify PI into PI 17.593 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.595 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.595 * [backup-simplify]: Simplify (* 0.5 0) into 0 17.596 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 17.597 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.601 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 17.613 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 17.613 * [backup-simplify]: Simplify (exp 0) into 1 17.613 * [backup-simplify]: Simplify (/ (pow n 0.5) 1) into (pow (pow n 1.0) 0.5) 17.613 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.614 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.614 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.614 * [taylor]: Taking taylor expansion of 0.5 in k 17.614 * [backup-simplify]: Simplify 0.5 into 0.5 17.614 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.614 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.614 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.614 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.614 * [taylor]: Taking taylor expansion of 1.0 in k 17.614 * [backup-simplify]: Simplify 1.0 into 1.0 17.614 * [taylor]: Taking taylor expansion of (log PI) in k 17.614 * [taylor]: Taking taylor expansion of PI in k 17.614 * [backup-simplify]: Simplify PI into PI 17.614 * [backup-simplify]: Simplify (log PI) into (log PI) 17.615 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.617 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.617 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.617 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.617 * [taylor]: Taking taylor expansion of 1.0 in k 17.617 * [backup-simplify]: Simplify 1.0 into 1.0 17.617 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.617 * [taylor]: Taking taylor expansion of 2.0 in k 17.617 * [backup-simplify]: Simplify 2.0 into 2.0 17.618 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.619 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.620 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.622 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.626 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.633 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.644 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.644 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in k 17.644 * [taylor]: Taking taylor expansion of 1.0 in k 17.644 * [backup-simplify]: Simplify 1.0 into 1.0 17.644 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 17.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.644 * [taylor]: Taking taylor expansion of k in k 17.644 * [backup-simplify]: Simplify 0 into 0 17.644 * [backup-simplify]: Simplify 1 into 1 17.644 * [backup-simplify]: Simplify (/ 1 1) into 1 17.645 * [backup-simplify]: Simplify (sqrt 0) into 0 17.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.646 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 17.646 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in k 17.646 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 17.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 17.647 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 17.647 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 17.647 * [taylor]: Taking taylor expansion of 0.5 in k 17.647 * [backup-simplify]: Simplify 0.5 into 0.5 17.647 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.647 * [taylor]: Taking taylor expansion of 1.0 in k 17.647 * [backup-simplify]: Simplify 1.0 into 1.0 17.647 * [taylor]: Taking taylor expansion of k in k 17.647 * [backup-simplify]: Simplify 0 into 0 17.647 * [backup-simplify]: Simplify 1 into 1 17.647 * [taylor]: Taking taylor expansion of (log n) in k 17.647 * [taylor]: Taking taylor expansion of n in k 17.647 * [backup-simplify]: Simplify n into n 17.647 * [backup-simplify]: Simplify (log n) into (log n) 17.647 * [backup-simplify]: Simplify (- 0) into 0 17.648 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.648 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 17.648 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 17.649 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 17.649 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 17.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 17.649 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 17.649 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 17.649 * [taylor]: Taking taylor expansion of 0.5 in k 17.649 * [backup-simplify]: Simplify 0.5 into 0.5 17.649 * [taylor]: Taking taylor expansion of k in k 17.649 * [backup-simplify]: Simplify 0 into 0 17.649 * [backup-simplify]: Simplify 1 into 1 17.649 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.649 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.649 * [taylor]: Taking taylor expansion of 2.0 in k 17.649 * [backup-simplify]: Simplify 2.0 into 2.0 17.649 * [taylor]: Taking taylor expansion of PI in k 17.649 * [backup-simplify]: Simplify PI into PI 17.650 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.651 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.651 * [backup-simplify]: Simplify (* 0.5 0) into 0 17.652 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 17.653 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.656 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 17.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 17.659 * [backup-simplify]: Simplify (exp 0) into 1 17.659 * [backup-simplify]: Simplify (/ (pow n 0.5) 1) into (pow (pow n 1.0) 0.5) 17.659 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.659 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.659 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.659 * [taylor]: Taking taylor expansion of 0.5 in k 17.659 * [backup-simplify]: Simplify 0.5 into 0.5 17.659 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.659 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.659 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.659 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.659 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.659 * [taylor]: Taking taylor expansion of 1.0 in k 17.660 * [backup-simplify]: Simplify 1.0 into 1.0 17.660 * [taylor]: Taking taylor expansion of (log PI) in k 17.660 * [taylor]: Taking taylor expansion of PI in k 17.660 * [backup-simplify]: Simplify PI into PI 17.660 * [backup-simplify]: Simplify (log PI) into (log PI) 17.660 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.661 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.661 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.661 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.661 * [taylor]: Taking taylor expansion of 1.0 in k 17.661 * [backup-simplify]: Simplify 1.0 into 1.0 17.661 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.662 * [taylor]: Taking taylor expansion of 2.0 in k 17.662 * [backup-simplify]: Simplify 2.0 into 2.0 17.662 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.662 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.663 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.664 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.666 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.670 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.676 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.680 * [backup-simplify]: Simplify (* (pow (pow n 1.0) 0.5) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 17.681 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 17.681 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.682 * [taylor]: Taking taylor expansion of 0 in n 17.682 * [backup-simplify]: Simplify 0 into 0 17.682 * [backup-simplify]: Simplify 0 into 0 17.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.684 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.686 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.687 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 17.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 17.692 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 17.696 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.697 * [backup-simplify]: Simplify (- 1) into -1 17.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.699 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 17.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 17.701 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 17.710 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1)))) into (* 0.5 (log (* 2.0 PI))) 17.712 * [backup-simplify]: Simplify (- (/ (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 17.718 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 17.722 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (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))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 17.723 * [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))) 17.723 * [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 17.723 * [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 17.723 * [taylor]: Taking taylor expansion of +nan.0 in n 17.723 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.723 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.723 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.723 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.723 * [taylor]: Taking taylor expansion of 0.5 in n 17.723 * [backup-simplify]: Simplify 0.5 into 0.5 17.723 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.723 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.723 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.723 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.723 * [taylor]: Taking taylor expansion of 1.0 in n 17.723 * [backup-simplify]: Simplify 1.0 into 1.0 17.723 * [taylor]: Taking taylor expansion of (log PI) in n 17.723 * [taylor]: Taking taylor expansion of PI in n 17.723 * [backup-simplify]: Simplify PI into PI 17.724 * [backup-simplify]: Simplify (log PI) into (log PI) 17.724 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.725 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.725 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.725 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.725 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.725 * [taylor]: Taking taylor expansion of 1.0 in n 17.725 * [backup-simplify]: Simplify 1.0 into 1.0 17.725 * [taylor]: Taking taylor expansion of (log n) in n 17.726 * [taylor]: Taking taylor expansion of n in n 17.726 * [backup-simplify]: Simplify 0 into 0 17.726 * [backup-simplify]: Simplify 1 into 1 17.726 * [backup-simplify]: Simplify (log 1) into 0 17.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.726 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.726 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.726 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.726 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.726 * [taylor]: Taking taylor expansion of 1.0 in n 17.726 * [backup-simplify]: Simplify 1.0 into 1.0 17.726 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.726 * [taylor]: Taking taylor expansion of 2.0 in n 17.726 * [backup-simplify]: Simplify 2.0 into 2.0 17.727 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.727 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.728 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.728 * [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) 17.729 * [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) 17.730 * [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)) 17.731 * [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))) 17.732 * [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) 17.739 * [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)) 17.740 * [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))) 17.741 * [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))) 17.741 * [backup-simplify]: Simplify 0 into 0 17.743 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 17.744 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 17.745 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.747 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 17.748 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 17.751 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.752 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 17.757 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 17.760 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 17.765 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.768 * [backup-simplify]: Simplify (- 0) into 0 17.768 * [backup-simplify]: Simplify (+ 0 0) into 0 17.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 17.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 17.772 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 17.773 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.777 * [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 17.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 17.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (log (* 2.0 PI))))) into 0 17.793 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 17.805 * [backup-simplify]: Simplify (- (/ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) 17.821 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 0) (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) 17.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.825 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.840 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (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)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 17.848 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 17.848 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 17.848 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 17.848 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 17.848 * [taylor]: Taking taylor expansion of +nan.0 in n 17.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.848 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 17.849 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.849 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.849 * [taylor]: Taking taylor expansion of 2.0 in n 17.849 * [backup-simplify]: Simplify 2.0 into 2.0 17.849 * [taylor]: Taking taylor expansion of PI in n 17.849 * [backup-simplify]: Simplify PI into PI 17.849 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.850 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.850 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.850 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.850 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.850 * [taylor]: Taking taylor expansion of 0.5 in n 17.850 * [backup-simplify]: Simplify 0.5 into 0.5 17.851 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.851 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.851 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.851 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.851 * [taylor]: Taking taylor expansion of 1.0 in n 17.851 * [backup-simplify]: Simplify 1.0 into 1.0 17.851 * [taylor]: Taking taylor expansion of (log PI) in n 17.851 * [taylor]: Taking taylor expansion of PI in n 17.851 * [backup-simplify]: Simplify PI into PI 17.851 * [backup-simplify]: Simplify (log PI) into (log PI) 17.852 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.854 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.854 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.854 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.854 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.854 * [taylor]: Taking taylor expansion of 1.0 in n 17.854 * [backup-simplify]: Simplify 1.0 into 1.0 17.854 * [taylor]: Taking taylor expansion of (log n) in n 17.854 * [taylor]: Taking taylor expansion of n in n 17.854 * [backup-simplify]: Simplify 0 into 0 17.854 * [backup-simplify]: Simplify 1 into 1 17.855 * [backup-simplify]: Simplify (log 1) into 0 17.855 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.855 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.855 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.855 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.856 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.856 * [taylor]: Taking taylor expansion of 1.0 in n 17.856 * [backup-simplify]: Simplify 1.0 into 1.0 17.856 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.856 * [taylor]: Taking taylor expansion of 2.0 in n 17.856 * [backup-simplify]: Simplify 2.0 into 2.0 17.856 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.857 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.859 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.860 * [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) 17.861 * [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) 17.862 * [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)) 17.864 * [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))) 17.865 * [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) 17.865 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) in n 17.865 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 17.865 * [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 17.866 * [taylor]: Taking taylor expansion of +nan.0 in n 17.866 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.866 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.866 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.866 * [taylor]: Taking taylor expansion of 0.5 in n 17.866 * [backup-simplify]: Simplify 0.5 into 0.5 17.866 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.866 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.866 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.866 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.866 * [taylor]: Taking taylor expansion of 1.0 in n 17.866 * [backup-simplify]: Simplify 1.0 into 1.0 17.866 * [taylor]: Taking taylor expansion of (log PI) in n 17.866 * [taylor]: Taking taylor expansion of PI in n 17.866 * [backup-simplify]: Simplify PI into PI 17.867 * [backup-simplify]: Simplify (log PI) into (log PI) 17.868 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.869 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.869 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.869 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.869 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.870 * [taylor]: Taking taylor expansion of 1.0 in n 17.870 * [backup-simplify]: Simplify 1.0 into 1.0 17.870 * [taylor]: Taking taylor expansion of (log n) in n 17.870 * [taylor]: Taking taylor expansion of n in n 17.870 * [backup-simplify]: Simplify 0 into 0 17.870 * [backup-simplify]: Simplify 1 into 1 17.870 * [backup-simplify]: Simplify (log 1) into 0 17.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.871 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.871 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.871 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.871 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.871 * [taylor]: Taking taylor expansion of 1.0 in n 17.871 * [backup-simplify]: Simplify 1.0 into 1.0 17.871 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.871 * [taylor]: Taking taylor expansion of 2.0 in n 17.871 * [backup-simplify]: Simplify 2.0 into 2.0 17.871 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.872 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.873 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.873 * [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) 17.874 * [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) 17.875 * [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)) 17.875 * [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))) 17.876 * [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) 17.876 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 17.876 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 17.876 * [taylor]: Taking taylor expansion of +nan.0 in n 17.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.876 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 17.876 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 17.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 17.876 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 17.876 * [taylor]: Taking taylor expansion of 0.5 in n 17.877 * [backup-simplify]: Simplify 0.5 into 0.5 17.877 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 17.877 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 17.877 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.877 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.877 * [taylor]: Taking taylor expansion of 1.0 in n 17.877 * [backup-simplify]: Simplify 1.0 into 1.0 17.877 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.877 * [taylor]: Taking taylor expansion of 2.0 in n 17.877 * [backup-simplify]: Simplify 2.0 into 2.0 17.877 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.878 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.878 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.879 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 17.879 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.879 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.879 * [taylor]: Taking taylor expansion of 1.0 in n 17.879 * [backup-simplify]: Simplify 1.0 into 1.0 17.879 * [taylor]: Taking taylor expansion of (log PI) in n 17.879 * [taylor]: Taking taylor expansion of PI in n 17.879 * [backup-simplify]: Simplify PI into PI 17.879 * [backup-simplify]: Simplify (log PI) into (log PI) 17.880 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.881 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.881 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.881 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.881 * [taylor]: Taking taylor expansion of 1.0 in n 17.881 * [backup-simplify]: Simplify 1.0 into 1.0 17.881 * [taylor]: Taking taylor expansion of (log n) in n 17.881 * [taylor]: Taking taylor expansion of n in n 17.881 * [backup-simplify]: Simplify 0 into 0 17.881 * [backup-simplify]: Simplify 1 into 1 17.881 * [backup-simplify]: Simplify (log 1) into 0 17.881 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.881 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.881 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.882 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.883 * [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) 17.883 * [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)) 17.884 * [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))) 17.885 * [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) 17.885 * [taylor]: Taking taylor expansion of (log n) in n 17.885 * [taylor]: Taking taylor expansion of n in n 17.885 * [backup-simplify]: Simplify 0 into 0 17.885 * [backup-simplify]: Simplify 1 into 1 17.885 * [backup-simplify]: Simplify (log 1) into 0 17.887 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 17.889 * [backup-simplify]: Simplify (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 17.897 * [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)) 17.897 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.898 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 17.900 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 17.901 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 17.904 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 17.907 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 17.912 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 17.916 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 17.919 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 17.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.921 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.922 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.923 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 17.924 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 17.924 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 17.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.926 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.927 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.927 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 17.929 * [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 17.930 * [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 17.931 * [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 17.932 * [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 17.933 * [backup-simplify]: Simplify (- 0) into 0 17.933 * [backup-simplify]: Simplify 0 into 0 17.933 * [backup-simplify]: Simplify 0 into 0 17.936 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 17.937 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 17.938 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.944 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 17.946 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 17.949 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.951 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2.0 1.0))))) into 0 17.956 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 6) into 0 17.958 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))))) into 0 17.961 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.963 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 17.963 * [backup-simplify]: Simplify (- 0) into 0 17.963 * [backup-simplify]: Simplify (+ 0 0) into 0 17.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 17.965 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 17.966 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 17.967 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.970 * [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 17.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 17.980 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 3) 6)) (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 17.994 * [backup-simplify]: Simplify (- (/ (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 1)) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (pow n 1.0) 0.5))) (+ (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (pow n 1.0) 0.5))) (+ (* 0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (pow n 1.0) 0.5))))))) 18.015 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 0) (+ (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) 0) (* (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (pow n 1.0) 0.5))) (+ (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (pow n 1.0) 0.5))) (+ (* 0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (pow n 1.0) 0.5))))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))))) into (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 18.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.049 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (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))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 18.078 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 18.078 * [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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) in n 18.078 * [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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) in n 18.079 * [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 18.079 * [taylor]: Taking taylor expansion of +nan.0 in n 18.079 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.079 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 18.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 18.079 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 18.079 * [taylor]: Taking taylor expansion of 0.5 in n 18.079 * [backup-simplify]: Simplify 0.5 into 0.5 18.079 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 18.079 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 18.079 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.079 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.079 * [taylor]: Taking taylor expansion of 1.0 in n 18.079 * [backup-simplify]: Simplify 1.0 into 1.0 18.079 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.079 * [taylor]: Taking taylor expansion of 2.0 in n 18.079 * [backup-simplify]: Simplify 2.0 into 2.0 18.080 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.081 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.082 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.082 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 18.082 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.082 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.083 * [taylor]: Taking taylor expansion of 1.0 in n 18.083 * [backup-simplify]: Simplify 1.0 into 1.0 18.083 * [taylor]: Taking taylor expansion of (log n) in n 18.083 * [taylor]: Taking taylor expansion of n in n 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify 1 into 1 18.083 * [backup-simplify]: Simplify (log 1) into 0 18.084 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.084 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.084 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.084 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.084 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.084 * [taylor]: Taking taylor expansion of 1.0 in n 18.084 * [backup-simplify]: Simplify 1.0 into 1.0 18.084 * [taylor]: Taking taylor expansion of (log PI) in n 18.084 * [taylor]: Taking taylor expansion of PI in n 18.084 * [backup-simplify]: Simplify PI into PI 18.085 * [backup-simplify]: Simplify (log PI) into (log PI) 18.086 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.087 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.088 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 18.089 * [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) 18.091 * [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)) 18.092 * [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))) 18.094 * [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) 18.094 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) in n 18.094 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) in n 18.094 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 18.094 * [taylor]: Taking taylor expansion of +nan.0 in n 18.094 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.094 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 18.094 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.094 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.094 * [taylor]: Taking taylor expansion of 2.0 in n 18.094 * [backup-simplify]: Simplify 2.0 into 2.0 18.094 * [taylor]: Taking taylor expansion of PI in n 18.094 * [backup-simplify]: Simplify PI into PI 18.095 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.096 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.096 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 18.096 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 18.096 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 18.096 * [taylor]: Taking taylor expansion of 0.5 in n 18.096 * [backup-simplify]: Simplify 0.5 into 0.5 18.096 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 18.096 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 18.096 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.096 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.096 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.096 * [taylor]: Taking taylor expansion of 1.0 in n 18.096 * [backup-simplify]: Simplify 1.0 into 1.0 18.096 * [taylor]: Taking taylor expansion of (log PI) in n 18.096 * [taylor]: Taking taylor expansion of PI in n 18.096 * [backup-simplify]: Simplify PI into PI 18.097 * [backup-simplify]: Simplify (log PI) into (log PI) 18.098 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.100 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.100 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 18.100 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.100 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.100 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.100 * [taylor]: Taking taylor expansion of 1.0 in n 18.100 * [backup-simplify]: Simplify 1.0 into 1.0 18.100 * [taylor]: Taking taylor expansion of (log n) in n 18.100 * [taylor]: Taking taylor expansion of n in n 18.100 * [backup-simplify]: Simplify 0 into 0 18.100 * [backup-simplify]: Simplify 1 into 1 18.101 * [backup-simplify]: Simplify (log 1) into 0 18.101 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.101 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.101 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.101 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.101 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.102 * [taylor]: Taking taylor expansion of 1.0 in n 18.102 * [backup-simplify]: Simplify 1.0 into 1.0 18.102 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.102 * [taylor]: Taking taylor expansion of 2.0 in n 18.102 * [backup-simplify]: Simplify 2.0 into 2.0 18.102 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.103 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.105 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.105 * [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) 18.107 * [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) 18.108 * [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)) 18.109 * [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))) 18.111 * [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) 18.111 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) in n 18.111 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) in n 18.111 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 18.111 * [taylor]: Taking taylor expansion of +nan.0 in n 18.111 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.111 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 18.111 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 18.111 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.111 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.111 * [taylor]: Taking taylor expansion of 2.0 in n 18.111 * [backup-simplify]: Simplify 2.0 into 2.0 18.111 * [taylor]: Taking taylor expansion of PI in n 18.111 * [backup-simplify]: Simplify PI into PI 18.112 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.113 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.113 * [taylor]: Taking taylor expansion of (log n) in n 18.113 * [taylor]: Taking taylor expansion of n in n 18.113 * [backup-simplify]: Simplify 0 into 0 18.113 * [backup-simplify]: Simplify 1 into 1 18.114 * [backup-simplify]: Simplify (log 1) into 0 18.114 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 18.114 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 18.114 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 18.114 * [taylor]: Taking taylor expansion of 0.5 in n 18.114 * [backup-simplify]: Simplify 0.5 into 0.5 18.114 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 18.114 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 18.114 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.114 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.114 * [taylor]: Taking taylor expansion of 1.0 in n 18.114 * [backup-simplify]: Simplify 1.0 into 1.0 18.114 * [taylor]: Taking taylor expansion of (log PI) in n 18.114 * [taylor]: Taking taylor expansion of PI in n 18.114 * [backup-simplify]: Simplify PI into PI 18.115 * [backup-simplify]: Simplify (log PI) into (log PI) 18.116 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.121 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.121 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 18.121 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.121 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.121 * [taylor]: Taking taylor expansion of 1.0 in n 18.121 * [backup-simplify]: Simplify 1.0 into 1.0 18.122 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.122 * [taylor]: Taking taylor expansion of 2.0 in n 18.122 * [backup-simplify]: Simplify 2.0 into 2.0 18.122 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.123 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.125 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.125 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.125 * [taylor]: Taking taylor expansion of 1.0 in n 18.125 * [backup-simplify]: Simplify 1.0 into 1.0 18.125 * [taylor]: Taking taylor expansion of (log n) in n 18.125 * [taylor]: Taking taylor expansion of n in n 18.125 * [backup-simplify]: Simplify 0 into 0 18.125 * [backup-simplify]: Simplify 1 into 1 18.125 * [backup-simplify]: Simplify (log 1) into 0 18.126 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.126 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.126 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.127 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 18.128 * [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) 18.129 * [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)) 18.131 * [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))) 18.133 * [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) 18.133 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 18.133 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 18.133 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 18.133 * [taylor]: Taking taylor expansion of +nan.0 in n 18.133 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.133 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 18.133 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 18.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 18.133 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 18.133 * [taylor]: Taking taylor expansion of 0.5 in n 18.133 * [backup-simplify]: Simplify 0.5 into 0.5 18.133 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 18.133 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 18.133 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.133 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.133 * [taylor]: Taking taylor expansion of 1.0 in n 18.133 * [backup-simplify]: Simplify 1.0 into 1.0 18.133 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.133 * [taylor]: Taking taylor expansion of 2.0 in n 18.133 * [backup-simplify]: Simplify 2.0 into 2.0 18.134 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.135 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.137 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.137 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 18.137 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.137 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.137 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.137 * [taylor]: Taking taylor expansion of 1.0 in n 18.137 * [backup-simplify]: Simplify 1.0 into 1.0 18.137 * [taylor]: Taking taylor expansion of (log PI) in n 18.137 * [taylor]: Taking taylor expansion of PI in n 18.137 * [backup-simplify]: Simplify PI into PI 18.138 * [backup-simplify]: Simplify (log PI) into (log PI) 18.139 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.140 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.140 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.141 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.141 * [taylor]: Taking taylor expansion of 1.0 in n 18.141 * [backup-simplify]: Simplify 1.0 into 1.0 18.141 * [taylor]: Taking taylor expansion of (log n) in n 18.141 * [taylor]: Taking taylor expansion of n in n 18.141 * [backup-simplify]: Simplify 0 into 0 18.141 * [backup-simplify]: Simplify 1 into 1 18.141 * [backup-simplify]: Simplify (log 1) into 0 18.142 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.142 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.142 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.143 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 18.144 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 18.145 * [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)) 18.147 * [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))) 18.148 * [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) 18.149 * [taylor]: Taking taylor expansion of (log n) in n 18.149 * [taylor]: Taking taylor expansion of n in n 18.149 * [backup-simplify]: Simplify 0 into 0 18.149 * [backup-simplify]: Simplify 1 into 1 18.149 * [backup-simplify]: Simplify (log 1) into 0 18.149 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 18.149 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 18.149 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 18.149 * [taylor]: Taking taylor expansion of +nan.0 in n 18.149 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.149 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 18.149 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 18.149 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 18.149 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 18.149 * [taylor]: Taking taylor expansion of 0.5 in n 18.149 * [backup-simplify]: Simplify 0.5 into 0.5 18.150 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 18.150 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 18.150 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.150 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.150 * [taylor]: Taking taylor expansion of 1.0 in n 18.150 * [backup-simplify]: Simplify 1.0 into 1.0 18.150 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.150 * [taylor]: Taking taylor expansion of 2.0 in n 18.150 * [backup-simplify]: Simplify 2.0 into 2.0 18.150 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.151 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.152 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.152 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 18.152 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.152 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.152 * [taylor]: Taking taylor expansion of 1.0 in n 18.152 * [backup-simplify]: Simplify 1.0 into 1.0 18.152 * [taylor]: Taking taylor expansion of (log PI) in n 18.152 * [taylor]: Taking taylor expansion of PI in n 18.152 * [backup-simplify]: Simplify PI into PI 18.152 * [backup-simplify]: Simplify (log PI) into (log PI) 18.153 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.154 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.154 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.154 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.154 * [taylor]: Taking taylor expansion of 1.0 in n 18.154 * [backup-simplify]: Simplify 1.0 into 1.0 18.154 * [taylor]: Taking taylor expansion of (log n) in n 18.154 * [taylor]: Taking taylor expansion of n in n 18.154 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify 1 into 1 18.154 * [backup-simplify]: Simplify (log 1) into 0 18.155 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.155 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.155 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.155 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 18.156 * [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) 18.157 * [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)) 18.158 * [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))) 18.166 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 18.166 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 18.166 * [taylor]: Taking taylor expansion of (log n) in n 18.166 * [taylor]: Taking taylor expansion of n in n 18.166 * [backup-simplify]: Simplify 0 into 0 18.166 * [backup-simplify]: Simplify 1 into 1 18.166 * [backup-simplify]: Simplify (log 1) into 0 18.166 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.166 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 18.166 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 18.167 * [taylor]: Taking taylor expansion of +nan.0 in n 18.167 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.167 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 18.167 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 18.167 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.167 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.167 * [taylor]: Taking taylor expansion of 2.0 in n 18.167 * [backup-simplify]: Simplify 2.0 into 2.0 18.167 * [taylor]: Taking taylor expansion of PI in n 18.167 * [backup-simplify]: Simplify PI into PI 18.167 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.168 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.168 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 18.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 18.168 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 18.168 * [taylor]: Taking taylor expansion of 0.5 in n 18.168 * [backup-simplify]: Simplify 0.5 into 0.5 18.168 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 18.168 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 18.168 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.168 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.168 * [taylor]: Taking taylor expansion of 1.0 in n 18.168 * [backup-simplify]: Simplify 1.0 into 1.0 18.168 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.168 * [taylor]: Taking taylor expansion of 2.0 in n 18.168 * [backup-simplify]: Simplify 2.0 into 2.0 18.168 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.169 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.170 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.170 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 18.170 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 18.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 18.170 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 18.170 * [taylor]: Taking taylor expansion of 1.0 in n 18.170 * [backup-simplify]: Simplify 1.0 into 1.0 18.170 * [taylor]: Taking taylor expansion of (log n) in n 18.170 * [taylor]: Taking taylor expansion of n in n 18.170 * [backup-simplify]: Simplify 0 into 0 18.170 * [backup-simplify]: Simplify 1 into 1 18.170 * [backup-simplify]: Simplify (log 1) into 0 18.171 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.171 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 18.171 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 18.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.171 * [taylor]: Taking taylor expansion of 1.0 in n 18.171 * [backup-simplify]: Simplify 1.0 into 1.0 18.171 * [taylor]: Taking taylor expansion of (log PI) in n 18.171 * [taylor]: Taking taylor expansion of PI in n 18.171 * [backup-simplify]: Simplify PI into PI 18.171 * [backup-simplify]: Simplify (log PI) into (log PI) 18.172 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.173 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.174 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 18.174 * [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) 18.175 * [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)) 18.176 * [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))) 18.177 * [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) 18.178 * [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)) 18.180 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 18.183 * [backup-simplify]: Simplify (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 18.183 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.185 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 18.187 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 18.190 * [backup-simplify]: Simplify (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 18.190 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.192 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 18.194 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 18.194 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.195 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.195 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 18.196 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 18.198 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 18.201 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 18.205 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 18.208 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 18.212 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) 18.217 * [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))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 18.223 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 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)))))) 18.230 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 18.238 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 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 n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 18.249 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +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 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 (* (* (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 (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) 18.258 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))) 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)))))))))) 18.266 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (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))))))))))) 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 (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 18.275 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) 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)) (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 n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 18.286 * [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 (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 18.309 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))))) 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 (* (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 (* (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)))))))))))))) 18.320 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 18.338 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 18.343 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (/ (/ 1 k) 2.0)))) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) 18.343 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in (k n) around 0 18.343 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in n 18.343 * [taylor]: Taking taylor expansion of 1.0 in n 18.343 * [backup-simplify]: Simplify 1.0 into 1.0 18.343 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in n 18.343 * [taylor]: Taking taylor expansion of (sqrt k) in n 18.343 * [taylor]: Taking taylor expansion of k in n 18.343 * [backup-simplify]: Simplify k into k 18.343 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 18.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 18.343 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in n 18.343 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.343 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.343 * [taylor]: Taking taylor expansion of 0.5 in n 18.344 * [backup-simplify]: Simplify 0.5 into 0.5 18.344 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.344 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.344 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.344 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.344 * [taylor]: Taking taylor expansion of 1.0 in n 18.344 * [backup-simplify]: Simplify 1.0 into 1.0 18.344 * [taylor]: Taking taylor expansion of (log PI) in n 18.344 * [taylor]: Taking taylor expansion of PI in n 18.344 * [backup-simplify]: Simplify PI into PI 18.344 * [backup-simplify]: Simplify (log PI) into (log PI) 18.345 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.347 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.347 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.347 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.347 * [taylor]: Taking taylor expansion of 1.0 in n 18.347 * [backup-simplify]: Simplify 1.0 into 1.0 18.347 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.347 * [taylor]: Taking taylor expansion of 2.0 in n 18.347 * [backup-simplify]: Simplify 2.0 into 2.0 18.348 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.349 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.350 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.352 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.356 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.363 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.374 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.374 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in n 18.374 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 18.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 18.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 18.374 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 18.374 * [taylor]: Taking taylor expansion of 0.5 in n 18.374 * [backup-simplify]: Simplify 0.5 into 0.5 18.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.375 * [taylor]: Taking taylor expansion of 1.0 in n 18.375 * [backup-simplify]: Simplify 1.0 into 1.0 18.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.375 * [taylor]: Taking taylor expansion of k in n 18.375 * [backup-simplify]: Simplify k into k 18.375 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.375 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.375 * [taylor]: Taking taylor expansion of n in n 18.375 * [backup-simplify]: Simplify 0 into 0 18.375 * [backup-simplify]: Simplify 1 into 1 18.375 * [backup-simplify]: Simplify (/ 1 1) into 1 18.376 * [backup-simplify]: Simplify (log 1) into 0 18.376 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.376 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.376 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 18.377 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.377 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.377 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in n 18.377 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in n 18.377 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in n 18.377 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 18.377 * [taylor]: Taking taylor expansion of 0.5 in n 18.377 * [backup-simplify]: Simplify 0.5 into 0.5 18.377 * [taylor]: Taking taylor expansion of k in n 18.378 * [backup-simplify]: Simplify k into k 18.378 * [backup-simplify]: Simplify (/ 0.5 k) into (/ 0.5 k) 18.378 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.378 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.378 * [taylor]: Taking taylor expansion of 2.0 in n 18.378 * [backup-simplify]: Simplify 2.0 into 2.0 18.378 * [taylor]: Taking taylor expansion of PI in n 18.378 * [backup-simplify]: Simplify PI into PI 18.378 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.380 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.381 * [backup-simplify]: Simplify (* (/ 0.5 k) (log (* 2.0 PI))) into (* 0.5 (/ (log (* 2.0 PI)) k)) 18.382 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 18.383 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 18.383 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in k 18.383 * [taylor]: Taking taylor expansion of 1.0 in k 18.383 * [backup-simplify]: Simplify 1.0 into 1.0 18.383 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in k 18.384 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.384 * [taylor]: Taking taylor expansion of k in k 18.384 * [backup-simplify]: Simplify 0 into 0 18.384 * [backup-simplify]: Simplify 1 into 1 18.384 * [backup-simplify]: Simplify (sqrt 0) into 0 18.386 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.386 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in k 18.386 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 18.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 18.386 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 18.386 * [taylor]: Taking taylor expansion of 0.5 in k 18.386 * [backup-simplify]: Simplify 0.5 into 0.5 18.386 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 18.386 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 18.386 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 18.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 18.386 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 18.386 * [taylor]: Taking taylor expansion of 1.0 in k 18.386 * [backup-simplify]: Simplify 1.0 into 1.0 18.386 * [taylor]: Taking taylor expansion of (log PI) in k 18.386 * [taylor]: Taking taylor expansion of PI in k 18.386 * [backup-simplify]: Simplify PI into PI 18.387 * [backup-simplify]: Simplify (log PI) into (log PI) 18.387 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.388 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.388 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 18.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 18.388 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) 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 (log 2.0) in k 18.388 * [taylor]: Taking taylor expansion of 2.0 in k 18.388 * [backup-simplify]: Simplify 2.0 into 2.0 18.389 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.389 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.390 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.391 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.393 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.397 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.402 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.402 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in k 18.402 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 18.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 18.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 18.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 18.403 * [taylor]: Taking taylor expansion of 0.5 in k 18.403 * [backup-simplify]: Simplify 0.5 into 0.5 18.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.403 * [taylor]: Taking taylor expansion of 1.0 in k 18.403 * [backup-simplify]: Simplify 1.0 into 1.0 18.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.403 * [taylor]: Taking taylor expansion of k in k 18.403 * [backup-simplify]: Simplify 0 into 0 18.403 * [backup-simplify]: Simplify 1 into 1 18.403 * [backup-simplify]: Simplify (/ 1 1) into 1 18.403 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 18.403 * [taylor]: Taking taylor expansion of (/ 1 n) in k 18.403 * [taylor]: Taking taylor expansion of n in k 18.403 * [backup-simplify]: Simplify n into n 18.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.403 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 18.403 * [backup-simplify]: Simplify (- 1) into -1 18.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.404 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 18.404 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 18.404 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 18.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 18.404 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 18.404 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 18.404 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 18.404 * [taylor]: Taking taylor expansion of 0.5 in k 18.404 * [backup-simplify]: Simplify 0.5 into 0.5 18.404 * [taylor]: Taking taylor expansion of k in k 18.404 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify 1 into 1 18.405 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 18.405 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.405 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.405 * [taylor]: Taking taylor expansion of 2.0 in k 18.405 * [backup-simplify]: Simplify 2.0 into 2.0 18.405 * [taylor]: Taking taylor expansion of PI in k 18.405 * [backup-simplify]: Simplify PI into PI 18.405 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.406 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.407 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 18.408 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 18.410 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 18.410 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in k 18.410 * [taylor]: Taking taylor expansion of 1.0 in k 18.410 * [backup-simplify]: Simplify 1.0 into 1.0 18.410 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in k 18.410 * [taylor]: Taking taylor expansion of (sqrt k) in k 18.410 * [taylor]: Taking taylor expansion of k in k 18.410 * [backup-simplify]: Simplify 0 into 0 18.410 * [backup-simplify]: Simplify 1 into 1 18.410 * [backup-simplify]: Simplify (sqrt 0) into 0 18.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.412 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in k 18.412 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 18.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 18.412 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 18.412 * [taylor]: Taking taylor expansion of 0.5 in k 18.412 * [backup-simplify]: Simplify 0.5 into 0.5 18.412 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 18.412 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 18.412 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 18.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 18.412 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 18.412 * [taylor]: Taking taylor expansion of 1.0 in k 18.412 * [backup-simplify]: Simplify 1.0 into 1.0 18.412 * [taylor]: Taking taylor expansion of (log PI) in k 18.412 * [taylor]: Taking taylor expansion of PI in k 18.412 * [backup-simplify]: Simplify PI into PI 18.413 * [backup-simplify]: Simplify (log PI) into (log PI) 18.414 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.416 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.416 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 18.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 18.416 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 18.416 * [taylor]: Taking taylor expansion of 1.0 in k 18.416 * [backup-simplify]: Simplify 1.0 into 1.0 18.416 * [taylor]: Taking taylor expansion of (log 2.0) in k 18.416 * [taylor]: Taking taylor expansion of 2.0 in k 18.416 * [backup-simplify]: Simplify 2.0 into 2.0 18.416 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.417 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.419 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.421 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.425 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.439 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.449 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.449 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in k 18.449 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 18.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 18.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 18.449 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 18.449 * [taylor]: Taking taylor expansion of 0.5 in k 18.449 * [backup-simplify]: Simplify 0.5 into 0.5 18.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.449 * [taylor]: Taking taylor expansion of 1.0 in k 18.450 * [backup-simplify]: Simplify 1.0 into 1.0 18.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.450 * [taylor]: Taking taylor expansion of k in k 18.450 * [backup-simplify]: Simplify 0 into 0 18.450 * [backup-simplify]: Simplify 1 into 1 18.450 * [backup-simplify]: Simplify (/ 1 1) into 1 18.450 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 18.450 * [taylor]: Taking taylor expansion of (/ 1 n) in k 18.450 * [taylor]: Taking taylor expansion of n in k 18.450 * [backup-simplify]: Simplify n into n 18.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.450 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 18.451 * [backup-simplify]: Simplify (- 1) into -1 18.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.452 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 18.452 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 18.452 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 18.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 18.452 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 18.452 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 18.452 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 18.452 * [taylor]: Taking taylor expansion of 0.5 in k 18.452 * [backup-simplify]: Simplify 0.5 into 0.5 18.452 * [taylor]: Taking taylor expansion of k in k 18.452 * [backup-simplify]: Simplify 0 into 0 18.452 * [backup-simplify]: Simplify 1 into 1 18.453 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 18.453 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.453 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.453 * [taylor]: Taking taylor expansion of 2.0 in k 18.453 * [backup-simplify]: Simplify 2.0 into 2.0 18.453 * [taylor]: Taking taylor expansion of PI in k 18.453 * [backup-simplify]: Simplify PI into PI 18.453 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.455 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.456 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 18.457 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 18.459 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 18.465 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) into (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) 18.468 * [backup-simplify]: Simplify (* 0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into 0 18.468 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.468 * [taylor]: Taking taylor expansion of 0 in n 18.468 * [backup-simplify]: Simplify 0 into 0 18.468 * [backup-simplify]: Simplify 0 into 0 18.470 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 18.472 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 18.473 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 18.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 18.474 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 18.475 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 18.476 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 18.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 18.478 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 18.480 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.482 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 18.485 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.488 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0)) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.488 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 18.488 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 18.488 * [taylor]: Taking taylor expansion of +nan.0 in n 18.488 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.488 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 18.488 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 18.488 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 18.488 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 18.488 * [taylor]: Taking taylor expansion of 0.5 in n 18.488 * [backup-simplify]: Simplify 0.5 into 0.5 18.488 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 18.488 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.488 * [taylor]: Taking taylor expansion of n in n 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 1 into 1 18.488 * [backup-simplify]: Simplify (/ 1 1) into 1 18.488 * [backup-simplify]: Simplify (log 1) into 0 18.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.488 * [taylor]: Taking taylor expansion of 1.0 in n 18.488 * [backup-simplify]: Simplify 1.0 into 1.0 18.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.489 * [taylor]: Taking taylor expansion of k in n 18.489 * [backup-simplify]: Simplify k into k 18.489 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.489 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.489 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.489 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 18.489 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.489 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 18.489 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 18.489 * [taylor]: Taking taylor expansion of 0.5 in n 18.489 * [backup-simplify]: Simplify 0.5 into 0.5 18.489 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.489 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.489 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.489 * [taylor]: Taking taylor expansion of 2.0 in n 18.490 * [backup-simplify]: Simplify 2.0 into 2.0 18.490 * [taylor]: Taking taylor expansion of PI in n 18.490 * [backup-simplify]: Simplify PI into PI 18.490 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.491 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.491 * [taylor]: Taking taylor expansion of k in n 18.491 * [backup-simplify]: Simplify k into k 18.491 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.492 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 18.493 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 18.493 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 18.493 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 18.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 18.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 18.494 * [taylor]: Taking taylor expansion of 0.5 in n 18.494 * [backup-simplify]: Simplify 0.5 into 0.5 18.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 18.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 18.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.494 * [taylor]: Taking taylor expansion of 1.0 in n 18.494 * [backup-simplify]: Simplify 1.0 into 1.0 18.494 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.494 * [taylor]: Taking taylor expansion of 2.0 in n 18.494 * [backup-simplify]: Simplify 2.0 into 2.0 18.494 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.495 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.496 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.496 * [taylor]: Taking taylor expansion of 1.0 in n 18.496 * [backup-simplify]: Simplify 1.0 into 1.0 18.496 * [taylor]: Taking taylor expansion of (log PI) in n 18.496 * [taylor]: Taking taylor expansion of PI in n 18.496 * [backup-simplify]: Simplify PI into PI 18.496 * [backup-simplify]: Simplify (log PI) into (log PI) 18.497 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.498 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.499 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 18.501 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 18.506 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 18.516 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.526 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 18.531 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.535 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 18.540 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.540 * [backup-simplify]: Simplify 0 into 0 18.545 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 18.548 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 18.549 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 18.552 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 18.560 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.561 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 18.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 18.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 18.569 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.571 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.573 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.582 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.582 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 18.582 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 18.582 * [taylor]: Taking taylor expansion of +nan.0 in n 18.582 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.582 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 18.582 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 18.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 18.582 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 18.582 * [taylor]: Taking taylor expansion of 0.5 in n 18.582 * [backup-simplify]: Simplify 0.5 into 0.5 18.582 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 18.582 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.582 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.582 * [taylor]: Taking taylor expansion of n in n 18.582 * [backup-simplify]: Simplify 0 into 0 18.582 * [backup-simplify]: Simplify 1 into 1 18.583 * [backup-simplify]: Simplify (/ 1 1) into 1 18.583 * [backup-simplify]: Simplify (log 1) into 0 18.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.583 * [taylor]: Taking taylor expansion of 1.0 in n 18.583 * [backup-simplify]: Simplify 1.0 into 1.0 18.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.583 * [taylor]: Taking taylor expansion of k in n 18.583 * [backup-simplify]: Simplify k into k 18.583 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.583 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.583 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.583 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.584 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 18.584 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.584 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 18.584 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 18.584 * [taylor]: Taking taylor expansion of 0.5 in n 18.584 * [backup-simplify]: Simplify 0.5 into 0.5 18.584 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.584 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.584 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.584 * [taylor]: Taking taylor expansion of 2.0 in n 18.584 * [backup-simplify]: Simplify 2.0 into 2.0 18.584 * [taylor]: Taking taylor expansion of PI in n 18.584 * [backup-simplify]: Simplify PI into PI 18.584 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.585 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.585 * [taylor]: Taking taylor expansion of k in n 18.585 * [backup-simplify]: Simplify k into k 18.586 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.586 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 18.587 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 18.589 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 18.589 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 18.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 18.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 18.589 * [taylor]: Taking taylor expansion of 0.5 in n 18.589 * [backup-simplify]: Simplify 0.5 into 0.5 18.589 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 18.589 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 18.589 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.589 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.589 * [taylor]: Taking taylor expansion of 1.0 in n 18.589 * [backup-simplify]: Simplify 1.0 into 1.0 18.589 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.589 * [taylor]: Taking taylor expansion of 2.0 in n 18.589 * [backup-simplify]: Simplify 2.0 into 2.0 18.590 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.591 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.592 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.592 * [taylor]: Taking taylor expansion of 1.0 in n 18.592 * [backup-simplify]: Simplify 1.0 into 1.0 18.592 * [taylor]: Taking taylor expansion of (log PI) in n 18.592 * [taylor]: Taking taylor expansion of PI in n 18.593 * [backup-simplify]: Simplify PI into PI 18.593 * [backup-simplify]: Simplify (log PI) into (log PI) 18.594 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.596 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.597 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 18.601 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 18.608 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 18.619 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.625 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 18.627 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.630 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 18.633 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 18.634 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 18.636 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 18.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 18.637 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 18.638 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 18.639 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 18.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 18.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 18.644 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.645 * [backup-simplify]: Simplify (- 0) into 0 18.645 * [backup-simplify]: Simplify (+ 0 0) into 0 18.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.647 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 18.647 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 18.648 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.648 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.650 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (log (* 2.0 PI)) k) (/ 0 k)))) into 0 18.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (log (* 2.0 PI)) k))) into 0 18.653 * [backup-simplify]: Simplify (* (exp (* 0.5 (/ (log (* 2.0 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.657 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.661 * [backup-simplify]: Simplify (+ (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 0) (* 0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 18.666 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.666 * [backup-simplify]: Simplify (- 0) into 0 18.666 * [backup-simplify]: Simplify 0 into 0 18.666 * [backup-simplify]: Simplify 0 into 0 18.673 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.689 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 18.691 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 18.694 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.700 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 18.701 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 18.704 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.706 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2.0 1.0))))) into 0 18.714 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 6) into 0 18.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))))) into 0 18.722 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.726 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into 0 18.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.750 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.751 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 18.751 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 18.751 * [taylor]: Taking taylor expansion of +nan.0 in n 18.751 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.751 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 18.751 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 18.751 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 18.751 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 18.751 * [taylor]: Taking taylor expansion of 0.5 in n 18.751 * [backup-simplify]: Simplify 0.5 into 0.5 18.751 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 18.751 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.751 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.751 * [taylor]: Taking taylor expansion of n in n 18.751 * [backup-simplify]: Simplify 0 into 0 18.751 * [backup-simplify]: Simplify 1 into 1 18.751 * [backup-simplify]: Simplify (/ 1 1) into 1 18.751 * [backup-simplify]: Simplify (log 1) into 0 18.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.751 * [taylor]: Taking taylor expansion of 1.0 in n 18.751 * [backup-simplify]: Simplify 1.0 into 1.0 18.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.751 * [taylor]: Taking taylor expansion of k in n 18.752 * [backup-simplify]: Simplify k into k 18.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.752 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.752 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.752 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 18.752 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.752 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 18.752 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 18.752 * [taylor]: Taking taylor expansion of 0.5 in n 18.752 * [backup-simplify]: Simplify 0.5 into 0.5 18.753 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.753 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.753 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.753 * [taylor]: Taking taylor expansion of 2.0 in n 18.753 * [backup-simplify]: Simplify 2.0 into 2.0 18.753 * [taylor]: Taking taylor expansion of PI in n 18.753 * [backup-simplify]: Simplify PI into PI 18.753 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.754 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.754 * [taylor]: Taking taylor expansion of k in n 18.754 * [backup-simplify]: Simplify k into k 18.754 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.755 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 18.756 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 18.757 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 18.757 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 18.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 18.757 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 18.757 * [taylor]: Taking taylor expansion of 0.5 in n 18.757 * [backup-simplify]: Simplify 0.5 into 0.5 18.757 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 18.757 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 18.757 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.757 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.757 * [taylor]: Taking taylor expansion of 1.0 in n 18.757 * [backup-simplify]: Simplify 1.0 into 1.0 18.757 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.757 * [taylor]: Taking taylor expansion of 2.0 in n 18.757 * [backup-simplify]: Simplify 2.0 into 2.0 18.757 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.758 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.759 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.759 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.759 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.759 * [taylor]: Taking taylor expansion of 1.0 in n 18.759 * [backup-simplify]: Simplify 1.0 into 1.0 18.759 * [taylor]: Taking taylor expansion of (log PI) in n 18.759 * [taylor]: Taking taylor expansion of PI in n 18.759 * [backup-simplify]: Simplify PI into PI 18.760 * [backup-simplify]: Simplify (log PI) into (log PI) 18.760 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.761 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.762 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 18.765 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 18.769 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 18.775 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.781 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 18.784 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.786 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 18.789 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.799 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 18.802 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 (- k))) (pow (* 2.0 PI) (/ (/ 1 (- k)) 2.0)))) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.802 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in (k n) around 0 18.802 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.802 * [taylor]: Taking taylor expansion of 1.0 in n 18.802 * [backup-simplify]: Simplify 1.0 into 1.0 18.802 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.802 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in n 18.802 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 18.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 18.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 18.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 18.802 * [taylor]: Taking taylor expansion of 0.5 in n 18.802 * [backup-simplify]: Simplify 0.5 into 0.5 18.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.802 * [taylor]: Taking taylor expansion of k in n 18.802 * [backup-simplify]: Simplify k into k 18.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.802 * [taylor]: Taking taylor expansion of 1.0 in n 18.802 * [backup-simplify]: Simplify 1.0 into 1.0 18.802 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.802 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.802 * [taylor]: Taking taylor expansion of -1 in n 18.802 * [backup-simplify]: Simplify -1 into -1 18.802 * [taylor]: Taking taylor expansion of n in n 18.803 * [backup-simplify]: Simplify 0 into 0 18.803 * [backup-simplify]: Simplify 1 into 1 18.803 * [backup-simplify]: Simplify (/ -1 1) into -1 18.803 * [backup-simplify]: Simplify (log -1) into (log -1) 18.803 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.803 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 18.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.804 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.805 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 18.805 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in n 18.805 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 18.805 * [taylor]: Taking taylor expansion of (/ -1 k) in n 18.805 * [taylor]: Taking taylor expansion of -1 in n 18.805 * [backup-simplify]: Simplify -1 into -1 18.805 * [taylor]: Taking taylor expansion of k in n 18.805 * [backup-simplify]: Simplify k into k 18.805 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 18.805 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 18.805 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 18.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 18.805 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in n 18.805 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in n 18.805 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in n 18.805 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 18.805 * [taylor]: Taking taylor expansion of -0.5 in n 18.805 * [backup-simplify]: Simplify -0.5 into -0.5 18.805 * [taylor]: Taking taylor expansion of k in n 18.805 * [backup-simplify]: Simplify k into k 18.805 * [backup-simplify]: Simplify (/ -0.5 k) into (/ -0.5 k) 18.805 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.805 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.805 * [taylor]: Taking taylor expansion of 2.0 in n 18.805 * [backup-simplify]: Simplify 2.0 into 2.0 18.805 * [taylor]: Taking taylor expansion of PI in n 18.805 * [backup-simplify]: Simplify PI into PI 18.806 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.806 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.807 * [backup-simplify]: Simplify (* (/ -0.5 k) (log (* 2.0 PI))) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.808 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.808 * [backup-simplify]: Simplify (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.810 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.810 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.810 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.810 * [taylor]: Taking taylor expansion of 0.5 in n 18.810 * [backup-simplify]: Simplify 0.5 into 0.5 18.810 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.810 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.810 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.810 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.810 * [taylor]: Taking taylor expansion of 1.0 in n 18.810 * [backup-simplify]: Simplify 1.0 into 1.0 18.810 * [taylor]: Taking taylor expansion of (log PI) in n 18.810 * [taylor]: Taking taylor expansion of PI in n 18.810 * [backup-simplify]: Simplify PI into PI 18.820 * [backup-simplify]: Simplify (log PI) into (log PI) 18.821 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.823 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.824 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.824 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.824 * [taylor]: Taking taylor expansion of 1.0 in n 18.824 * [backup-simplify]: Simplify 1.0 into 1.0 18.824 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.824 * [taylor]: Taking taylor expansion of 2.0 in n 18.824 * [backup-simplify]: Simplify 2.0 into 2.0 18.824 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.825 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.827 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.829 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.833 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.839 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.850 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.850 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 18.850 * [taylor]: Taking taylor expansion of 1.0 in k 18.850 * [backup-simplify]: Simplify 1.0 into 1.0 18.850 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 18.850 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 18.850 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 18.850 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 18.850 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 18.850 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 18.850 * [taylor]: Taking taylor expansion of 0.5 in k 18.850 * [backup-simplify]: Simplify 0.5 into 0.5 18.850 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.850 * [taylor]: Taking taylor expansion of k in k 18.850 * [backup-simplify]: Simplify 0 into 0 18.850 * [backup-simplify]: Simplify 1 into 1 18.851 * [backup-simplify]: Simplify (/ 1 1) into 1 18.851 * [taylor]: Taking taylor expansion of 1.0 in k 18.851 * [backup-simplify]: Simplify 1.0 into 1.0 18.851 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 18.851 * [taylor]: Taking taylor expansion of (/ -1 n) in k 18.851 * [taylor]: Taking taylor expansion of -1 in k 18.851 * [backup-simplify]: Simplify -1 into -1 18.851 * [taylor]: Taking taylor expansion of n in k 18.851 * [backup-simplify]: Simplify n into n 18.851 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 18.851 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 18.852 * [backup-simplify]: Simplify (+ 1 0) into 1 18.852 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 18.852 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 18.853 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 18.853 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 18.853 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.853 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.853 * [taylor]: Taking taylor expansion of -1 in k 18.853 * [backup-simplify]: Simplify -1 into -1 18.853 * [taylor]: Taking taylor expansion of k in k 18.853 * [backup-simplify]: Simplify 0 into 0 18.853 * [backup-simplify]: Simplify 1 into 1 18.853 * [backup-simplify]: Simplify (/ -1 1) into -1 18.854 * [backup-simplify]: Simplify (sqrt 0) into 0 18.855 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.855 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 18.856 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 18.856 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 18.856 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 18.856 * [taylor]: Taking taylor expansion of -0.5 in k 18.856 * [backup-simplify]: Simplify -0.5 into -0.5 18.856 * [taylor]: Taking taylor expansion of k in k 18.856 * [backup-simplify]: Simplify 0 into 0 18.856 * [backup-simplify]: Simplify 1 into 1 18.856 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 18.856 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.856 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.856 * [taylor]: Taking taylor expansion of 2.0 in k 18.856 * [backup-simplify]: Simplify 2.0 into 2.0 18.856 * [taylor]: Taking taylor expansion of PI in k 18.856 * [backup-simplify]: Simplify PI into PI 18.857 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.858 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.860 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 18.861 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.862 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 18.864 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.865 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.865 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 18.865 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 18.865 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 18.865 * [taylor]: Taking taylor expansion of 0.5 in k 18.865 * [backup-simplify]: Simplify 0.5 into 0.5 18.865 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 18.865 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 18.865 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 18.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 18.865 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 18.865 * [taylor]: Taking taylor expansion of 1.0 in k 18.865 * [backup-simplify]: Simplify 1.0 into 1.0 18.865 * [taylor]: Taking taylor expansion of (log PI) in k 18.865 * [taylor]: Taking taylor expansion of PI in k 18.865 * [backup-simplify]: Simplify PI into PI 18.866 * [backup-simplify]: Simplify (log PI) into (log PI) 18.867 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.869 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.869 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 18.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 18.869 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 18.869 * [taylor]: Taking taylor expansion of 1.0 in k 18.869 * [backup-simplify]: Simplify 1.0 into 1.0 18.869 * [taylor]: Taking taylor expansion of (log 2.0) in k 18.869 * [taylor]: Taking taylor expansion of 2.0 in k 18.869 * [backup-simplify]: Simplify 2.0 into 2.0 18.869 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.870 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.872 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.874 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.877 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.888 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.898 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.898 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 18.898 * [taylor]: Taking taylor expansion of 1.0 in k 18.899 * [backup-simplify]: Simplify 1.0 into 1.0 18.899 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 18.899 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 18.899 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 18.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 18.899 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 18.899 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 18.899 * [taylor]: Taking taylor expansion of 0.5 in k 18.899 * [backup-simplify]: Simplify 0.5 into 0.5 18.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.899 * [taylor]: Taking taylor expansion of k in k 18.899 * [backup-simplify]: Simplify 0 into 0 18.899 * [backup-simplify]: Simplify 1 into 1 18.899 * [backup-simplify]: Simplify (/ 1 1) into 1 18.899 * [taylor]: Taking taylor expansion of 1.0 in k 18.899 * [backup-simplify]: Simplify 1.0 into 1.0 18.899 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 18.899 * [taylor]: Taking taylor expansion of (/ -1 n) in k 18.900 * [taylor]: Taking taylor expansion of -1 in k 18.900 * [backup-simplify]: Simplify -1 into -1 18.900 * [taylor]: Taking taylor expansion of n in k 18.900 * [backup-simplify]: Simplify n into n 18.900 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 18.900 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 18.900 * [backup-simplify]: Simplify (+ 1 0) into 1 18.901 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 18.901 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 18.901 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 18.901 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 18.901 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.902 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.902 * [taylor]: Taking taylor expansion of -1 in k 18.902 * [backup-simplify]: Simplify -1 into -1 18.902 * [taylor]: Taking taylor expansion of k in k 18.902 * [backup-simplify]: Simplify 0 into 0 18.902 * [backup-simplify]: Simplify 1 into 1 18.902 * [backup-simplify]: Simplify (/ -1 1) into -1 18.903 * [backup-simplify]: Simplify (sqrt 0) into 0 18.904 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.904 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 18.904 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 18.904 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 18.904 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 18.904 * [taylor]: Taking taylor expansion of -0.5 in k 18.904 * [backup-simplify]: Simplify -0.5 into -0.5 18.904 * [taylor]: Taking taylor expansion of k in k 18.904 * [backup-simplify]: Simplify 0 into 0 18.904 * [backup-simplify]: Simplify 1 into 1 18.905 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 18.905 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.905 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.905 * [taylor]: Taking taylor expansion of 2.0 in k 18.905 * [backup-simplify]: Simplify 2.0 into 2.0 18.905 * [taylor]: Taking taylor expansion of PI in k 18.905 * [backup-simplify]: Simplify PI into PI 18.906 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.907 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.909 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 18.910 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.911 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 18.913 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.915 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.915 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 18.915 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 18.915 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 18.915 * [taylor]: Taking taylor expansion of 0.5 in k 18.915 * [backup-simplify]: Simplify 0.5 into 0.5 18.915 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 18.915 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 18.915 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 18.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 18.915 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 18.915 * [taylor]: Taking taylor expansion of 1.0 in k 18.915 * [backup-simplify]: Simplify 1.0 into 1.0 18.915 * [taylor]: Taking taylor expansion of (log PI) in k 18.915 * [taylor]: Taking taylor expansion of PI in k 18.915 * [backup-simplify]: Simplify PI into PI 18.916 * [backup-simplify]: Simplify (log PI) into (log PI) 18.917 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.918 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.918 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 18.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 18.918 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 18.918 * [taylor]: Taking taylor expansion of 1.0 in k 18.918 * [backup-simplify]: Simplify 1.0 into 1.0 18.919 * [taylor]: Taking taylor expansion of (log 2.0) in k 18.919 * [taylor]: Taking taylor expansion of 2.0 in k 18.919 * [backup-simplify]: Simplify 2.0 into 2.0 18.919 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.920 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.922 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.924 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.927 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.934 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.944 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.954 * [backup-simplify]: Simplify (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (pow (pow (pow (pow (pow (* (pow PI 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 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 18.958 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.959 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.959 * [taylor]: Taking taylor expansion of +nan.0 in n 18.959 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.959 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.959 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 18.959 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 18.959 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 18.959 * [taylor]: Taking taylor expansion of 0.5 in n 18.959 * [backup-simplify]: Simplify 0.5 into 0.5 18.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 18.959 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.959 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.959 * [taylor]: Taking taylor expansion of k in n 18.959 * [backup-simplify]: Simplify k into k 18.959 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.959 * [taylor]: Taking taylor expansion of 1.0 in n 18.959 * [backup-simplify]: Simplify 1.0 into 1.0 18.959 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.959 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.959 * [taylor]: Taking taylor expansion of -1 in n 18.959 * [backup-simplify]: Simplify -1 into -1 18.959 * [taylor]: Taking taylor expansion of n in n 18.959 * [backup-simplify]: Simplify 0 into 0 18.959 * [backup-simplify]: Simplify 1 into 1 18.960 * [backup-simplify]: Simplify (/ -1 1) into -1 18.960 * [backup-simplify]: Simplify (log -1) into (log -1) 18.960 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.961 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.962 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.962 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.963 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 18.963 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 18.963 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 18.963 * [taylor]: Taking taylor expansion of -0.5 in n 18.963 * [backup-simplify]: Simplify -0.5 into -0.5 18.963 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.963 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.963 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.963 * [taylor]: Taking taylor expansion of 2.0 in n 18.963 * [backup-simplify]: Simplify 2.0 into 2.0 18.963 * [taylor]: Taking taylor expansion of PI in n 18.963 * [backup-simplify]: Simplify PI into PI 18.964 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.965 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.965 * [taylor]: Taking taylor expansion of k in n 18.965 * [backup-simplify]: Simplify k into k 18.966 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.967 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.968 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.970 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.970 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.970 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.970 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.970 * [taylor]: Taking taylor expansion of 0.5 in n 18.970 * [backup-simplify]: Simplify 0.5 into 0.5 18.970 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.970 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.970 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.970 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.970 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.970 * [taylor]: Taking taylor expansion of 1.0 in n 18.970 * [backup-simplify]: Simplify 1.0 into 1.0 18.970 * [taylor]: Taking taylor expansion of (log PI) in n 18.970 * [taylor]: Taking taylor expansion of PI in n 18.970 * [backup-simplify]: Simplify PI into PI 18.971 * [backup-simplify]: Simplify (log PI) into (log PI) 18.972 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.974 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.974 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.974 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.974 * [taylor]: Taking taylor expansion of 1.0 in n 18.974 * [backup-simplify]: Simplify 1.0 into 1.0 18.974 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.974 * [taylor]: Taking taylor expansion of 2.0 in n 18.974 * [backup-simplify]: Simplify 2.0 into 2.0 18.975 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.975 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.977 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.979 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.993 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 19.000 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 19.011 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 19.022 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 19.027 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 19.032 * [backup-simplify]: Simplify (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 19.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 19.035 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 19.036 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 19.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 19.039 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 19.041 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 19.042 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 19.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 19.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 19.050 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 19.061 * [backup-simplify]: Simplify (- (/ 0 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 19.067 * [backup-simplify]: Simplify (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 0) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.072 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* 0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.073 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 19.073 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 19.073 * [taylor]: Taking taylor expansion of +nan.0 in n 19.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 19.073 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 19.073 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 19.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 19.073 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 19.073 * [taylor]: Taking taylor expansion of 0.5 in n 19.073 * [backup-simplify]: Simplify 0.5 into 0.5 19.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 19.073 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.073 * [taylor]: Taking taylor expansion of k in n 19.073 * [backup-simplify]: Simplify k into k 19.073 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.073 * [taylor]: Taking taylor expansion of 1.0 in n 19.073 * [backup-simplify]: Simplify 1.0 into 1.0 19.073 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 19.073 * [taylor]: Taking taylor expansion of (/ -1 n) in n 19.073 * [taylor]: Taking taylor expansion of -1 in n 19.073 * [backup-simplify]: Simplify -1 into -1 19.073 * [taylor]: Taking taylor expansion of n in n 19.073 * [backup-simplify]: Simplify 0 into 0 19.073 * [backup-simplify]: Simplify 1 into 1 19.073 * [backup-simplify]: Simplify (/ -1 1) into -1 19.074 * [backup-simplify]: Simplify (log -1) into (log -1) 19.074 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.075 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 19.075 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 19.075 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 19.075 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 19.075 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 19.075 * [taylor]: Taking taylor expansion of -0.5 in n 19.075 * [backup-simplify]: Simplify -0.5 into -0.5 19.075 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 19.075 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.075 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.075 * [taylor]: Taking taylor expansion of 2.0 in n 19.075 * [backup-simplify]: Simplify 2.0 into 2.0 19.076 * [taylor]: Taking taylor expansion of PI in n 19.076 * [backup-simplify]: Simplify PI into PI 19.076 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.076 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.077 * [taylor]: Taking taylor expansion of k in n 19.077 * [backup-simplify]: Simplify k into k 19.077 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 19.078 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 19.079 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 19.080 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 19.080 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 19.080 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 19.080 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 19.080 * [taylor]: Taking taylor expansion of 0.5 in n 19.080 * [backup-simplify]: Simplify 0.5 into 0.5 19.080 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 19.080 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 19.080 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 19.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 19.080 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 19.080 * [taylor]: Taking taylor expansion of 1.0 in n 19.080 * [backup-simplify]: Simplify 1.0 into 1.0 19.080 * [taylor]: Taking taylor expansion of (log PI) in n 19.080 * [taylor]: Taking taylor expansion of PI in n 19.080 * [backup-simplify]: Simplify PI into PI 19.080 * [backup-simplify]: Simplify (log PI) into (log PI) 19.081 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 19.082 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 19.082 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 19.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 19.082 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 19.082 * [taylor]: Taking taylor expansion of 1.0 in n 19.082 * [backup-simplify]: Simplify 1.0 into 1.0 19.082 * [taylor]: Taking taylor expansion of (log 2.0) in n 19.082 * [taylor]: Taking taylor expansion of 2.0 in n 19.082 * [backup-simplify]: Simplify 2.0 into 2.0 19.082 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 19.083 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 19.084 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 19.085 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 19.087 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 19.094 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 19.105 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 19.115 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 19.119 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 19.124 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.139 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 19.141 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 19.142 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 19.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 19.143 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 19.144 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 19.145 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 19.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 19.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 19.149 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 19.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.151 * [backup-simplify]: Simplify (+ 0 0) into 0 19.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.152 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 19.152 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 19.153 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.156 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (log (* 2.0 PI)) k) (/ 0 k)))) into 0 19.157 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (/ (log (* 2.0 PI)) k))) into 0 19.158 * [backup-simplify]: Simplify (* (exp (* -0.5 (/ (log (* 2.0 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 19.160 * [backup-simplify]: Simplify (- (/ 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into 0 19.162 * [backup-simplify]: Simplify (+ (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 19.165 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into 0 19.166 * [backup-simplify]: Simplify 0 into 0 19.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 19.168 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 19.169 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 19.172 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 19.173 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.174 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 19.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 19.180 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 19.184 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 19.199 * [backup-simplify]: Simplify (- (/ 0 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 19.211 * [backup-simplify]: Simplify (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 0) (+ (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 0) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.220 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* 0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 19.220 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 19.220 * [taylor]: Taking taylor expansion of +nan.0 in n 19.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 19.220 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 19.220 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 19.220 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 19.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 19.220 * [taylor]: Taking taylor expansion of 0.5 in n 19.220 * [backup-simplify]: Simplify 0.5 into 0.5 19.220 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 19.220 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.220 * [taylor]: Taking taylor expansion of k in n 19.220 * [backup-simplify]: Simplify k into k 19.220 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.220 * [taylor]: Taking taylor expansion of 1.0 in n 19.220 * [backup-simplify]: Simplify 1.0 into 1.0 19.220 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 19.220 * [taylor]: Taking taylor expansion of (/ -1 n) in n 19.220 * [taylor]: Taking taylor expansion of -1 in n 19.220 * [backup-simplify]: Simplify -1 into -1 19.220 * [taylor]: Taking taylor expansion of n in n 19.220 * [backup-simplify]: Simplify 0 into 0 19.220 * [backup-simplify]: Simplify 1 into 1 19.221 * [backup-simplify]: Simplify (/ -1 1) into -1 19.221 * [backup-simplify]: Simplify (log -1) into (log -1) 19.221 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.222 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 19.222 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 19.223 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 19.223 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 19.223 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 19.223 * [taylor]: Taking taylor expansion of -0.5 in n 19.223 * [backup-simplify]: Simplify -0.5 into -0.5 19.223 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 19.223 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 19.223 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 19.223 * [taylor]: Taking taylor expansion of 2.0 in n 19.223 * [backup-simplify]: Simplify 2.0 into 2.0 19.223 * [taylor]: Taking taylor expansion of PI in n 19.223 * [backup-simplify]: Simplify PI into PI 19.223 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.224 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.224 * [taylor]: Taking taylor expansion of k in n 19.224 * [backup-simplify]: Simplify k into k 19.225 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 19.225 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 19.226 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 19.227 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 19.227 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 19.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 19.227 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 19.227 * [taylor]: Taking taylor expansion of 0.5 in n 19.227 * [backup-simplify]: Simplify 0.5 into 0.5 19.227 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 19.227 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 19.227 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 19.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 19.227 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 19.227 * [taylor]: Taking taylor expansion of 1.0 in n 19.227 * [backup-simplify]: Simplify 1.0 into 1.0 19.227 * [taylor]: Taking taylor expansion of (log PI) in n 19.227 * [taylor]: Taking taylor expansion of PI in n 19.227 * [backup-simplify]: Simplify PI into PI 19.228 * [backup-simplify]: Simplify (log PI) into (log PI) 19.228 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 19.229 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 19.229 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 19.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 19.229 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 19.229 * [taylor]: Taking taylor expansion of 1.0 in n 19.229 * [backup-simplify]: Simplify 1.0 into 1.0 19.229 * [taylor]: Taking taylor expansion of (log 2.0) in n 19.229 * [taylor]: Taking taylor expansion of 2.0 in n 19.229 * [backup-simplify]: Simplify 2.0 into 2.0 19.230 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 19.230 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 19.231 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 19.232 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 19.235 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 19.238 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 19.251 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 19.258 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 19.261 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 19.264 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.267 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 19.277 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 19.277 * * * [progress]: simplifying candidates 19.282 * [simplify]: Simplifying: (expm1 (pow (* 2.0 PI) (/ 1.0 2.0))) (log1p (pow (* 2.0 PI) (/ 1.0 2.0))) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* 2.0 PI) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 PI) (sqrt (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* 2.0 PI) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt 1.0) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (exp (pow (* 2.0 PI) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (* (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 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(* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 19.290 * * [simplify]: Extracting # 0 : cost 0 19.291 * * [simplify]: Extracting # 1 : cost 0 19.291 * * [simplify]: Extracting # 2 : cost 0 19.291 * * [simplify]: Extracting # 3 : cost 0 19.292 * * [simplify]: Extracting # 4 : cost 0 19.293 * * [simplify]: Extracting # 5 : cost 0 19.293 * * [simplify]: Extracting # 6 : cost 0 19.294 * * [simplify]: Extracting # 7 : cost 0 19.295 * * [simplify]: Extracting # 8 : cost 0 19.295 * * [simplify]: Extracting # 9 : cost 0 19.296 * * [simplify]: Extracting # 10 : cost 0 19.296 * * [simplify]: Extracting # 11 : cost 0 19.297 * * [simplify]: Extracting # 12 : cost 0 19.298 * * [simplify]: Extracting # 13 : cost 0 19.299 * * [simplify]: Extracting # 14 : cost 0 19.299 * * [simplify]: Extracting # 15 : cost 0 19.300 * * [simplify]: Extracting # 16 : cost 0 19.301 * * [simplify]: Extracting # 17 : cost 0 19.301 * * [simplify]: Extracting # 18 : cost 0 19.302 * * [simplify]: Extracting # 19 : cost 0 19.303 * * [simplify]: Extracting # 20 : cost 0 19.303 * * [simplify]: Extracting # 21 : cost 0 19.304 * * [simplify]: Extracting # 22 : cost 0 19.305 * * [simplify]: Extracting # 23 : cost 0 19.306 * * [simplify]: Extracting # 24 : cost 0 19.306 * * [simplify]: Extracting # 25 : cost 0 19.307 * * [simplify]: Extracting # 26 : cost 0 19.308 * * [simplify]: Extracting # 27 : cost 0 19.308 * * [simplify]: Extracting # 28 : cost 0 19.309 * * [simplify]: Extracting # 29 : cost 0 19.310 * * [simplify]: Extracting # 30 : cost 0 19.310 * * [simplify]: Extracting # 31 : cost 0 19.312 * * [simplify]: Extracting # 32 : cost 0 19.313 * * [simplify]: Extracting # 33 : cost 0 19.314 * * [simplify]: iteration 0 : 430 enodes (cost 6612 ) 19.513 * * [simplify]: Extracting # 0 : cost 0 19.517 * * [simplify]: Extracting # 1 : cost 0 19.520 * * [simplify]: Extracting # 2 : cost 0 19.523 * * [simplify]: Extracting # 3 : cost 0 19.526 * * [simplify]: Extracting # 4 : cost 0 19.529 * * [simplify]: Extracting # 5 : cost 0 19.532 * * [simplify]: Extracting # 6 : cost 0 19.535 * * [simplify]: Extracting # 7 : cost 0 19.536 * * [simplify]: iteration 1 : 1201 enodes (cost 5980 ) 20.286 * * [simplify]: Extracting # 0 : cost 0 20.294 * * [simplify]: Extracting # 1 : cost 0 20.305 * * [simplify]: Extracting # 2 : cost 0 20.322 * * [simplify]: Extracting # 3 : cost 0 20.332 * * [simplify]: Extracting # 4 : cost 0 20.344 * * [simplify]: Extracting # 5 : cost 0 20.354 * * [simplify]: Extracting # 6 : cost 0 20.362 * * [simplify]: iteration 2 : 4496 enodes (cost 5531 ) 22.029 * * [simplify]: Extracting # 0 : cost 0 22.042 * * [simplify]: Extracting # 1 : cost 0 22.055 * * [simplify]: Extracting # 2 : cost 0 22.068 * * [simplify]: Extracting # 3 : cost 0 22.087 * * [simplify]: Extracting # 4 : cost 0 22.094 * * [simplify]: iteration done: 5000 enodes (cost 5522 ) 22.096 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ 1.0 2.0))) (log1p (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* 2.0 PI) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 PI) (sqrt (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt 1.0) (cbrt 1.0))) (pow (* 2.0 PI) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt 1.0)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* PI 2.0) (* PI 2.0) (pow (* 2.0 PI) 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(sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (pow n (/ k 2.0))) (* (sqrt (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 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2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* (* -0.5 (- 1.0 k)) (- (log n)))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (fma (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- +nan.0 (* +nan.0 k)) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (/ (exp (- (* 0.5 (* k (log (* 2.0 PI)))))) (pow k 2))) (* (/ (exp (- (* 0.5 (* k (log (* 2.0 PI)))))) k) +nan.0))) (- (* (/ (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) +nan.0))) (fma (- (/ (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (exp (* 0.5 (* k (log (* 2.0 PI))))))) +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (/ (exp (- (* 0.5 (* k (log (* 2.0 PI)))))) (pow k 2))) (* (/ (exp (- (* 0.5 (* k (log (* 2.0 PI)))))) k) +nan.0)))) (- (fma (* +nan.0 (pow k 2)) (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (* (* (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) (fma (pow k 2) (* (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0) (fma +nan.0 (- (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (fma (* +nan.0 (* (pow k 2) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (* k (log n))) (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0 (fma (- +nan.0) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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))))))))))))) (fma (- (* (/ (exp (* (* -0.5 (- 1.0 k)) (- (log n)))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (/ (exp (* (* -0.5 (- 1.0 k)) (- (log n)))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI)))))))) (* +nan.0 (/ (/ (exp (* (* -0.5 (- 1.0 k)) (- (log n)))) (pow k 3)) (exp (* 0.5 (* k (log (* 2.0 PI)))))))))) (fma +nan.0 (- (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (/ (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) k))) (* +nan.0 (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (pow k 2))) (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 22.098 * * * [progress]: adding candidates to table 22.962 * [progress]: [Phase 3 of 3] Extracting. 22.963 * * [regime]: Finding splitpoints for: (# # # # # #) 22.965 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 22.965 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 22.992 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 23.040 * * * * [regimes]: Trying to branch on n from (# # # # # #) 23.082 * * * * [regimes]: Trying to branch on k from (# # # # # #) 23.114 * * * [regime]: Found split indices: #