11.602 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.090 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.090 * [simplify]: Sending expressions to egg_math: (* (/ h0 (sqrt h1)) (pow (* (* h2 h3) h4) (/ (- h0 h1) h2))) 0.092 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.093 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.095 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.097 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.103 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.125 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.126 * * [progress]: iteration 1 / 4 0.126 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.141 * * * [progress]: generating rewritten candidates 0.141 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.164 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.170 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.186 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.229 * * * [progress]: generating series expansions 0.229 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.230 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 0.230 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.230 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.230 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.230 * [taylor]: Taking taylor expansion of 0.5 in k 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.230 * [taylor]: Taking taylor expansion of 1.0 in k 0.230 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [taylor]: Taking taylor expansion of k in k 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.230 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.230 * [taylor]: Taking taylor expansion of 2.0 in k 0.230 * [backup-simplify]: Simplify 2.0 into 2.0 0.230 * [taylor]: Taking taylor expansion of (* n PI) in k 0.230 * [taylor]: Taking taylor expansion of n in k 0.230 * [backup-simplify]: Simplify n into n 0.230 * [taylor]: Taking taylor expansion of PI in k 0.230 * [backup-simplify]: Simplify PI into PI 0.230 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.230 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.230 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.231 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.231 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.231 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.231 * [taylor]: Taking taylor expansion of 0.5 in n 0.231 * [backup-simplify]: Simplify 0.5 into 0.5 0.231 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.231 * [taylor]: Taking taylor expansion of 1.0 in n 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [taylor]: Taking taylor expansion of k in n 0.231 * [backup-simplify]: Simplify k into k 0.231 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.231 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.231 * [taylor]: Taking taylor expansion of 2.0 in n 0.231 * [backup-simplify]: Simplify 2.0 into 2.0 0.231 * [taylor]: Taking taylor expansion of (* n PI) in n 0.231 * [taylor]: Taking taylor expansion of n in n 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of PI in n 0.231 * [backup-simplify]: Simplify PI into PI 0.232 * [backup-simplify]: Simplify (* 0 PI) into 0 0.232 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.234 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.234 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.234 * [backup-simplify]: Simplify (- k) into (- k) 0.234 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.234 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.235 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.236 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 0.236 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.237 * [taylor]: Taking taylor expansion of 0.5 in n 0.237 * [backup-simplify]: Simplify 0.5 into 0.5 0.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.237 * [taylor]: Taking taylor expansion of 1.0 in n 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [taylor]: Taking taylor expansion of k in n 0.237 * [backup-simplify]: Simplify k into k 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.237 * [taylor]: Taking taylor expansion of 2.0 in n 0.237 * [backup-simplify]: Simplify 2.0 into 2.0 0.237 * [taylor]: Taking taylor expansion of (* n PI) in n 0.237 * [taylor]: Taking taylor expansion of n in n 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of PI in n 0.237 * [backup-simplify]: Simplify PI into PI 0.237 * [backup-simplify]: Simplify (* 0 PI) into 0 0.237 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.239 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.240 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.240 * [backup-simplify]: Simplify (- k) into (- k) 0.240 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.240 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.241 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.241 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 0.242 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0.242 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.242 * [taylor]: Taking taylor expansion of 0.5 in k 0.242 * [backup-simplify]: Simplify 0.5 into 0.5 0.242 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.242 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.242 * [taylor]: Taking taylor expansion of 1.0 in k 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [taylor]: Taking taylor expansion of k in k 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.242 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.242 * [taylor]: Taking taylor expansion of 2.0 in k 0.242 * [backup-simplify]: Simplify 2.0 into 2.0 0.242 * [taylor]: Taking taylor expansion of PI in k 0.242 * [backup-simplify]: Simplify PI into PI 0.243 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.243 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.243 * [taylor]: Taking taylor expansion of (log n) in k 0.243 * [taylor]: Taking taylor expansion of n in k 0.243 * [backup-simplify]: Simplify n into n 0.243 * [backup-simplify]: Simplify (log n) into (log n) 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.245 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 0.245 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 0.246 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 0.246 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.247 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 0.251 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.251 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 0.252 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.252 * [taylor]: Taking taylor expansion of 0 in k 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (- 1) into -1 0.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 0.257 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 0.259 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 0.261 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.266 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.267 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in k 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 0.276 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 0.279 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 0.288 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 0.289 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 0.289 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.289 * [taylor]: Taking taylor expansion of 0.5 in k 0.289 * [backup-simplify]: Simplify 0.5 into 0.5 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.289 * [taylor]: Taking taylor expansion of 2.0 in k 0.289 * [backup-simplify]: Simplify 2.0 into 2.0 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.289 * [taylor]: Taking taylor expansion of PI in k 0.289 * [backup-simplify]: Simplify PI into PI 0.289 * [taylor]: Taking taylor expansion of n in k 0.289 * [backup-simplify]: Simplify n into n 0.289 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.289 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.290 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.290 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.291 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.291 * [taylor]: Taking taylor expansion of 0.5 in n 0.291 * [backup-simplify]: Simplify 0.5 into 0.5 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.291 * [taylor]: Taking taylor expansion of 1.0 in n 0.291 * [backup-simplify]: Simplify 1.0 into 1.0 0.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.291 * [taylor]: Taking taylor expansion of k in n 0.291 * [backup-simplify]: Simplify k into k 0.291 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of 2.0 in n 0.291 * [backup-simplify]: Simplify 2.0 into 2.0 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [backup-simplify]: Simplify PI into PI 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ PI 1) into PI 0.291 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.292 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.292 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.292 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.292 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.293 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.294 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.294 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.294 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.295 * [taylor]: Taking taylor expansion of 0.5 in n 0.295 * [backup-simplify]: Simplify 0.5 into 0.5 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.295 * [taylor]: Taking taylor expansion of k in n 0.295 * [backup-simplify]: Simplify k into k 0.295 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.295 * [taylor]: Taking taylor expansion of 2.0 in n 0.295 * [backup-simplify]: Simplify 2.0 into 2.0 0.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.295 * [taylor]: Taking taylor expansion of PI in n 0.295 * [backup-simplify]: Simplify PI into PI 0.295 * [taylor]: Taking taylor expansion of n in n 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ PI 1) into PI 0.295 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.296 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.296 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.296 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.296 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.298 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.298 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.298 * [taylor]: Taking taylor expansion of 0.5 in k 0.299 * [backup-simplify]: Simplify 0.5 into 0.5 0.299 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.299 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.299 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.299 * [taylor]: Taking taylor expansion of 2.0 in k 0.299 * [backup-simplify]: Simplify 2.0 into 2.0 0.299 * [taylor]: Taking taylor expansion of PI in k 0.299 * [backup-simplify]: Simplify PI into PI 0.299 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.300 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.300 * [taylor]: Taking taylor expansion of (log n) in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.300 * [backup-simplify]: Simplify n into n 0.300 * [backup-simplify]: Simplify (log n) into (log n) 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.301 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 0.301 * [backup-simplify]: Simplify (- 1) into -1 0.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.302 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 0.302 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 0.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.304 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.308 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 0.309 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in k 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 0.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.315 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 0.316 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.316 * [taylor]: Taking taylor expansion of 0 in k 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.320 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 0.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.323 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 0.325 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in k 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 0.326 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 0.326 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.326 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.326 * [taylor]: Taking taylor expansion of 0.5 in k 0.326 * [backup-simplify]: Simplify 0.5 into 0.5 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.326 * [taylor]: Taking taylor expansion of k in k 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of 1.0 in k 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.327 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.327 * [taylor]: Taking taylor expansion of -2.0 in k 0.327 * [backup-simplify]: Simplify -2.0 into -2.0 0.327 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.327 * [taylor]: Taking taylor expansion of PI in k 0.327 * [backup-simplify]: Simplify PI into PI 0.327 * [taylor]: Taking taylor expansion of n in k 0.327 * [backup-simplify]: Simplify n into n 0.327 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.327 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.327 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.328 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.328 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0.328 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.328 * [taylor]: Taking taylor expansion of 0.5 in n 0.328 * [backup-simplify]: Simplify 0.5 into 0.5 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.328 * [taylor]: Taking taylor expansion of k in n 0.328 * [backup-simplify]: Simplify k into k 0.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.328 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.328 * [taylor]: Taking taylor expansion of -2.0 in n 0.328 * [backup-simplify]: Simplify -2.0 into -2.0 0.328 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.328 * [taylor]: Taking taylor expansion of PI in n 0.328 * [backup-simplify]: Simplify PI into PI 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ PI 1) into PI 0.329 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.329 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.329 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.329 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.330 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.331 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.332 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.332 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [backup-simplify]: Simplify 0.5 into 0.5 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.332 * [taylor]: Taking taylor expansion of k in n 0.332 * [backup-simplify]: Simplify k into k 0.332 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.332 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.332 * [taylor]: Taking taylor expansion of -2.0 in n 0.332 * [backup-simplify]: Simplify -2.0 into -2.0 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [backup-simplify]: Simplify PI into PI 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ PI 1) into PI 0.333 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.333 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.333 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.333 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.335 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.336 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.336 * [taylor]: Taking taylor expansion of 0.5 in k 0.336 * [backup-simplify]: Simplify 0.5 into 0.5 0.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.336 * [taylor]: Taking taylor expansion of k in k 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1.0 in k 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.336 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.336 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.336 * [taylor]: Taking taylor expansion of -2.0 in k 0.336 * [backup-simplify]: Simplify -2.0 into -2.0 0.336 * [taylor]: Taking taylor expansion of PI in k 0.336 * [backup-simplify]: Simplify PI into PI 0.336 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.337 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.337 * [taylor]: Taking taylor expansion of (log n) in k 0.337 * [taylor]: Taking taylor expansion of n in k 0.337 * [backup-simplify]: Simplify n into n 0.337 * [backup-simplify]: Simplify (log n) into (log n) 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.338 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 0.339 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 0.339 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 0.340 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.341 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 0.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.345 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.346 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in k 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.351 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 0.353 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in k 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.357 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 0.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.360 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 0.361 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in k 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.362 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.362 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 0.362 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [backup-simplify]: Simplify 1.0 into 1.0 0.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify (sqrt 0) into 0 0.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.363 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.364 * [taylor]: Taking taylor expansion of k in k 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (sqrt 0) into 0 0.365 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.365 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.366 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.369 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.373 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.374 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 0.377 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 0.377 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.377 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.377 * [taylor]: Taking taylor expansion of 1.0 in k 0.377 * [backup-simplify]: Simplify 1.0 into 1.0 0.377 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.377 * [taylor]: Taking taylor expansion of k in k 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (sqrt 0) into 0 0.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.378 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.379 * [taylor]: Taking taylor expansion of 1.0 in k 0.379 * [backup-simplify]: Simplify 1.0 into 1.0 0.379 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.379 * [taylor]: Taking taylor expansion of k in k 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (sqrt 0) into 0 0.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.380 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.381 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.382 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.383 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.384 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.387 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.387 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.388 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 0.388 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 0.388 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.388 * [taylor]: Taking taylor expansion of 1.0 in k 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.388 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.388 * [taylor]: Taking taylor expansion of -1 in k 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [taylor]: Taking taylor expansion of k in k 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ -1 1) into -1 0.389 * [backup-simplify]: Simplify (sqrt 0) into 0 0.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.390 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.390 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.390 * [taylor]: Taking taylor expansion of 1.0 in k 0.390 * [backup-simplify]: Simplify 1.0 into 1.0 0.390 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.390 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.390 * [taylor]: Taking taylor expansion of -1 in k 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of k in k 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ -1 1) into -1 0.390 * [backup-simplify]: Simplify (sqrt 0) into 0 0.391 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.391 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.395 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.395 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.399 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.400 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.400 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 0.400 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.401 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.401 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [backup-simplify]: Simplify 2.0 into 2.0 0.401 * [taylor]: Taking taylor expansion of (* n PI) in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of PI in n 0.401 * [backup-simplify]: Simplify PI into PI 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [backup-simplify]: Simplify 2.0 into 2.0 0.401 * [taylor]: Taking taylor expansion of (* n PI) in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of PI in n 0.401 * [backup-simplify]: Simplify PI into PI 0.401 * [backup-simplify]: Simplify (* 0 PI) into 0 0.402 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.403 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.404 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.413 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 0.413 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.413 * [backup-simplify]: Simplify 2.0 into 2.0 0.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.413 * [backup-simplify]: Simplify PI into PI 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ PI 1) into PI 0.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.414 * [taylor]: Taking taylor expansion of 2.0 in n 0.414 * [backup-simplify]: Simplify 2.0 into 2.0 0.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.414 * [taylor]: Taking taylor expansion of PI in n 0.414 * [backup-simplify]: Simplify PI into PI 0.414 * [taylor]: Taking taylor expansion of n in n 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ PI 1) into PI 0.414 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.415 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 0.422 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 0.422 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.422 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.422 * [taylor]: Taking taylor expansion of -2.0 in n 0.422 * [backup-simplify]: Simplify -2.0 into -2.0 0.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.423 * [taylor]: Taking taylor expansion of PI in n 0.423 * [backup-simplify]: Simplify PI into PI 0.423 * [taylor]: Taking taylor expansion of n in n 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ PI 1) into PI 0.423 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.423 * [taylor]: Taking taylor expansion of -2.0 in n 0.423 * [backup-simplify]: Simplify -2.0 into -2.0 0.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.423 * [taylor]: Taking taylor expansion of PI in n 0.423 * [backup-simplify]: Simplify PI into PI 0.423 * [taylor]: Taking taylor expansion of n in n 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ PI 1) into PI 0.424 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.424 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 0.432 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.432 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 0.432 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.432 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [backup-simplify]: Simplify 1.0 into 1.0 0.432 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.432 * [taylor]: Taking taylor expansion of k in n 0.432 * [backup-simplify]: Simplify k into k 0.432 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.432 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.433 * [taylor]: Taking taylor expansion of 0.5 in n 0.433 * [backup-simplify]: Simplify 0.5 into 0.5 0.433 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.433 * [backup-simplify]: Simplify 1.0 into 1.0 0.433 * [taylor]: Taking taylor expansion of k in n 0.433 * [backup-simplify]: Simplify k into k 0.433 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.433 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.433 * [taylor]: Taking taylor expansion of 2.0 in n 0.433 * [backup-simplify]: Simplify 2.0 into 2.0 0.433 * [taylor]: Taking taylor expansion of (* n PI) in n 0.433 * [taylor]: Taking taylor expansion of n in n 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of PI in n 0.433 * [backup-simplify]: Simplify PI into PI 0.433 * [backup-simplify]: Simplify (* 0 PI) into 0 0.433 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.435 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.436 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.436 * [backup-simplify]: Simplify (- k) into (- k) 0.436 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.436 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.437 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.437 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 0.438 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.438 * [taylor]: Taking taylor expansion of 1.0 in k 0.438 * [backup-simplify]: Simplify 1.0 into 1.0 0.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.438 * [taylor]: Taking taylor expansion of k in k 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (sqrt 0) into 0 0.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.439 * [taylor]: Taking taylor expansion of 0.5 in k 0.439 * [backup-simplify]: Simplify 0.5 into 0.5 0.439 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.439 * [taylor]: Taking taylor expansion of 1.0 in k 0.439 * [backup-simplify]: Simplify 1.0 into 1.0 0.439 * [taylor]: Taking taylor expansion of k in k 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.440 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.440 * [taylor]: Taking taylor expansion of 2.0 in k 0.440 * [backup-simplify]: Simplify 2.0 into 2.0 0.440 * [taylor]: Taking taylor expansion of (* n PI) in k 0.440 * [taylor]: Taking taylor expansion of n in k 0.440 * [backup-simplify]: Simplify n into n 0.440 * [taylor]: Taking taylor expansion of PI in k 0.440 * [backup-simplify]: Simplify PI into PI 0.440 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.440 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.440 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.440 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.441 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.441 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.441 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.441 * [taylor]: Taking taylor expansion of 1.0 in k 0.441 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.441 * [taylor]: Taking taylor expansion of k in k 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (sqrt 0) into 0 0.442 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.442 * [taylor]: Taking taylor expansion of 0.5 in k 0.442 * [backup-simplify]: Simplify 0.5 into 0.5 0.442 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.442 * [taylor]: Taking taylor expansion of 1.0 in k 0.442 * [backup-simplify]: Simplify 1.0 into 1.0 0.442 * [taylor]: Taking taylor expansion of k in k 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.442 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.442 * [taylor]: Taking taylor expansion of 2.0 in k 0.442 * [backup-simplify]: Simplify 2.0 into 2.0 0.442 * [taylor]: Taking taylor expansion of (* n PI) in k 0.442 * [taylor]: Taking taylor expansion of n in k 0.442 * [backup-simplify]: Simplify n into n 0.442 * [taylor]: Taking taylor expansion of PI in k 0.442 * [backup-simplify]: Simplify PI into PI 0.442 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.442 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.442 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.443 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.443 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.443 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.443 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 0.444 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.444 * [taylor]: Taking taylor expansion of 0 in n 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.445 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 0.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 0.445 * [backup-simplify]: Simplify (- 1) into -1 0.446 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.446 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 0.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 0.447 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.448 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 0.450 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.450 * [taylor]: Taking taylor expansion of +nan.0 in n 0.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.450 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.450 * [taylor]: Taking taylor expansion of 0.5 in n 0.450 * [backup-simplify]: Simplify 0.5 into 0.5 0.450 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.450 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [taylor]: Taking taylor expansion of (log PI) in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.450 * [backup-simplify]: Simplify PI into PI 0.450 * [backup-simplify]: Simplify (log PI) into (log PI) 0.451 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.452 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.452 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.452 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [taylor]: Taking taylor expansion of (log n) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (log 1) into 0 0.452 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.452 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.452 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.452 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.453 * [taylor]: Taking taylor expansion of 1.0 in n 0.453 * [backup-simplify]: Simplify 1.0 into 1.0 0.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.453 * [taylor]: Taking taylor expansion of 2.0 in n 0.453 * [backup-simplify]: Simplify 2.0 into 2.0 0.453 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.453 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.454 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.455 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 0.455 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 0.456 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 0.457 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 0.458 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0.458 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 0.459 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 0.460 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 0.467 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.471 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 0.474 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 0.474 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.474 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.474 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.474 * [taylor]: Taking taylor expansion of +nan.0 in n 0.474 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.474 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.474 * [taylor]: Taking taylor expansion of 0.5 in n 0.474 * [backup-simplify]: Simplify 0.5 into 0.5 0.474 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.474 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.474 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.474 * [taylor]: Taking taylor expansion of 1.0 in n 0.474 * [backup-simplify]: Simplify 1.0 into 1.0 0.474 * [taylor]: Taking taylor expansion of (log PI) in n 0.474 * [taylor]: Taking taylor expansion of PI in n 0.474 * [backup-simplify]: Simplify PI into PI 0.475 * [backup-simplify]: Simplify (log PI) into (log PI) 0.475 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.476 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.476 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.476 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.476 * [taylor]: Taking taylor expansion of 1.0 in n 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [taylor]: Taking taylor expansion of (log n) in n 0.476 * [taylor]: Taking taylor expansion of n in n 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (log 1) into 0 0.477 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.477 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.477 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.477 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.477 * [taylor]: Taking taylor expansion of 1.0 in n 0.477 * [backup-simplify]: Simplify 1.0 into 1.0 0.477 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.477 * [taylor]: Taking taylor expansion of 2.0 in n 0.477 * [backup-simplify]: Simplify 2.0 into 2.0 0.477 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.478 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.479 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.479 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 0.480 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 0.481 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 0.481 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 0.482 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0.482 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.482 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.482 * [taylor]: Taking taylor expansion of +nan.0 in n 0.482 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.482 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.482 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.482 * [taylor]: Taking taylor expansion of 0.5 in n 0.482 * [backup-simplify]: Simplify 0.5 into 0.5 0.482 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.482 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.483 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.483 * [taylor]: Taking taylor expansion of 1.0 in n 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.483 * [taylor]: Taking taylor expansion of 2.0 in n 0.483 * [backup-simplify]: Simplify 2.0 into 2.0 0.483 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.483 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.484 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.484 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.484 * [taylor]: Taking taylor expansion of 1.0 in n 0.484 * [backup-simplify]: Simplify 1.0 into 1.0 0.484 * [taylor]: Taking taylor expansion of (log PI) in n 0.484 * [taylor]: Taking taylor expansion of PI in n 0.484 * [backup-simplify]: Simplify PI into PI 0.485 * [backup-simplify]: Simplify (log PI) into (log PI) 0.485 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.486 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.486 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.486 * [taylor]: Taking taylor expansion of 1.0 in n 0.486 * [backup-simplify]: Simplify 1.0 into 1.0 0.486 * [taylor]: Taking taylor expansion of (log n) in n 0.486 * [taylor]: Taking taylor expansion of n in n 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (log 1) into 0 0.487 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.487 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.487 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.487 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.488 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 0.489 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 0.489 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 0.490 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0.490 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.490 * [taylor]: Taking taylor expansion of 2.0 in n 0.490 * [backup-simplify]: Simplify 2.0 into 2.0 0.490 * [taylor]: Taking taylor expansion of (* n PI) in n 0.490 * [taylor]: Taking taylor expansion of n in n 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of PI in n 0.490 * [backup-simplify]: Simplify PI into PI 0.491 * [backup-simplify]: Simplify (* 0 PI) into 0 0.491 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.492 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.493 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.493 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.494 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 0.495 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.496 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 0.498 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.499 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 0.502 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.506 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.509 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 0.511 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 0.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.512 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.512 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 0.513 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 0.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 0.515 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 0.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 0.518 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 0.519 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 0.524 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 0.527 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.532 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 0.538 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 0.538 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.538 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.538 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.538 * [taylor]: Taking taylor expansion of +nan.0 in n 0.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.538 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.539 * [taylor]: Taking taylor expansion of 0.5 in n 0.539 * [backup-simplify]: Simplify 0.5 into 0.5 0.539 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.539 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.539 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [backup-simplify]: Simplify 1.0 into 1.0 0.539 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.539 * [taylor]: Taking taylor expansion of 2.0 in n 0.539 * [backup-simplify]: Simplify 2.0 into 2.0 0.539 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.539 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.540 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.540 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.540 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [backup-simplify]: Simplify 1.0 into 1.0 0.540 * [taylor]: Taking taylor expansion of (log n) in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (log 1) into 0 0.541 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.541 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.541 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.541 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.541 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.541 * [taylor]: Taking taylor expansion of 1.0 in n 0.541 * [backup-simplify]: Simplify 1.0 into 1.0 0.541 * [taylor]: Taking taylor expansion of (log PI) in n 0.541 * [taylor]: Taking taylor expansion of PI in n 0.541 * [backup-simplify]: Simplify PI into PI 0.541 * [backup-simplify]: Simplify (log PI) into (log PI) 0.542 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.543 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.543 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.544 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 0.545 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 0.546 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 0.546 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0.546 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.546 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.546 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.547 * [taylor]: Taking taylor expansion of +nan.0 in n 0.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.547 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.547 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.547 * [taylor]: Taking taylor expansion of 0.5 in n 0.547 * [backup-simplify]: Simplify 0.5 into 0.5 0.547 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.547 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.547 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.547 * [taylor]: Taking taylor expansion of 1.0 in n 0.547 * [backup-simplify]: Simplify 1.0 into 1.0 0.547 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.547 * [taylor]: Taking taylor expansion of 2.0 in n 0.547 * [backup-simplify]: Simplify 2.0 into 2.0 0.547 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.548 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.549 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.549 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.549 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.549 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.549 * [taylor]: Taking taylor expansion of 1.0 in n 0.549 * [backup-simplify]: Simplify 1.0 into 1.0 0.549 * [taylor]: Taking taylor expansion of (log PI) in n 0.549 * [taylor]: Taking taylor expansion of PI in n 0.549 * [backup-simplify]: Simplify PI into PI 0.549 * [backup-simplify]: Simplify (log PI) into (log PI) 0.550 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.550 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.550 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.551 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.551 * [taylor]: Taking taylor expansion of 1.0 in n 0.551 * [backup-simplify]: Simplify 1.0 into 1.0 0.551 * [taylor]: Taking taylor expansion of (log n) in n 0.551 * [taylor]: Taking taylor expansion of n in n 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (log 1) into 0 0.551 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.551 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.551 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.552 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.552 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 0.553 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 0.554 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 0.555 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.555 * [taylor]: Taking taylor expansion of 2.0 in n 0.555 * [backup-simplify]: Simplify 2.0 into 2.0 0.555 * [taylor]: Taking taylor expansion of (* n PI) in n 0.555 * [taylor]: Taking taylor expansion of n in n 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [taylor]: Taking taylor expansion of PI in n 0.555 * [backup-simplify]: Simplify PI into PI 0.555 * [backup-simplify]: Simplify (* 0 PI) into 0 0.555 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.560 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.561 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.561 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.561 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.561 * [taylor]: Taking taylor expansion of +nan.0 in n 0.561 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.561 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.561 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.561 * [taylor]: Taking taylor expansion of 0.5 in n 0.561 * [backup-simplify]: Simplify 0.5 into 0.5 0.561 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [backup-simplify]: Simplify 1.0 into 1.0 0.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.561 * [taylor]: Taking taylor expansion of 2.0 in n 0.561 * [backup-simplify]: Simplify 2.0 into 2.0 0.562 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.562 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.563 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.563 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.563 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [backup-simplify]: Simplify 1.0 into 1.0 0.563 * [taylor]: Taking taylor expansion of (log PI) in n 0.563 * [taylor]: Taking taylor expansion of PI in n 0.563 * [backup-simplify]: Simplify PI into PI 0.563 * [backup-simplify]: Simplify (log PI) into (log PI) 0.564 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.565 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [backup-simplify]: Simplify 1.0 into 1.0 0.565 * [taylor]: Taking taylor expansion of (log n) in n 0.565 * [taylor]: Taking taylor expansion of n in n 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (log 1) into 0 0.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.565 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.565 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.566 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.567 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 0.567 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 0.568 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 0.569 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0.569 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.569 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.569 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.569 * [taylor]: Taking taylor expansion of 2.0 in n 0.569 * [backup-simplify]: Simplify 2.0 into 2.0 0.569 * [taylor]: Taking taylor expansion of (* n PI) in n 0.569 * [taylor]: Taking taylor expansion of n in n 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of PI in n 0.569 * [backup-simplify]: Simplify PI into PI 0.569 * [backup-simplify]: Simplify (* 0 PI) into 0 0.570 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.571 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.572 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.573 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.574 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 0.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.576 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 0.577 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.578 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.580 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 0.582 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 0.583 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.585 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.591 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 0.599 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 0.607 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 0.616 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 0.625 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 0.639 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 0.640 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 0.640 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.640 * [backup-simplify]: Simplify 1.0 into 1.0 0.640 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.640 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [backup-simplify]: Simplify k into k 0.640 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.640 * [taylor]: Taking taylor expansion of 0.5 in n 0.640 * [backup-simplify]: Simplify 0.5 into 0.5 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.640 * [backup-simplify]: Simplify 1.0 into 1.0 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [backup-simplify]: Simplify k into k 0.640 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.640 * [taylor]: Taking taylor expansion of 2.0 in n 0.640 * [backup-simplify]: Simplify 2.0 into 2.0 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [backup-simplify]: Simplify PI into PI 0.640 * [taylor]: Taking taylor expansion of n in n 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (/ PI 1) into PI 0.641 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.642 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.642 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.642 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.642 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.643 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.647 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.647 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.647 * [taylor]: Taking taylor expansion of 1.0 in k 0.647 * [backup-simplify]: Simplify 1.0 into 1.0 0.647 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.647 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.647 * [taylor]: Taking taylor expansion of k in k 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (sqrt 0) into 0 0.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.648 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.648 * [taylor]: Taking taylor expansion of 0.5 in k 0.649 * [backup-simplify]: Simplify 0.5 into 0.5 0.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.649 * [taylor]: Taking taylor expansion of 1.0 in k 0.649 * [backup-simplify]: Simplify 1.0 into 1.0 0.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.649 * [taylor]: Taking taylor expansion of k in k 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.649 * [taylor]: Taking taylor expansion of 2.0 in k 0.649 * [backup-simplify]: Simplify 2.0 into 2.0 0.649 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.649 * [taylor]: Taking taylor expansion of PI in k 0.649 * [backup-simplify]: Simplify PI into PI 0.649 * [taylor]: Taking taylor expansion of n in k 0.649 * [backup-simplify]: Simplify n into n 0.649 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.649 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.649 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.649 * [backup-simplify]: Simplify (- 1) into -1 0.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.650 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.650 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.650 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0.650 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.650 * [taylor]: Taking taylor expansion of 1.0 in k 0.650 * [backup-simplify]: Simplify 1.0 into 1.0 0.650 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.650 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.650 * [taylor]: Taking taylor expansion of k in k 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (sqrt 0) into 0 0.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.651 * [taylor]: Taking taylor expansion of 0.5 in k 0.651 * [backup-simplify]: Simplify 0.5 into 0.5 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.651 * [taylor]: Taking taylor expansion of 1.0 in k 0.651 * [backup-simplify]: Simplify 1.0 into 1.0 0.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.651 * [taylor]: Taking taylor expansion of k in k 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.652 * [taylor]: Taking taylor expansion of 2.0 in k 0.652 * [backup-simplify]: Simplify 2.0 into 2.0 0.652 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.652 * [taylor]: Taking taylor expansion of PI in k 0.652 * [backup-simplify]: Simplify PI into PI 0.652 * [taylor]: Taking taylor expansion of n in k 0.652 * [backup-simplify]: Simplify n into n 0.652 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.652 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.652 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.652 * [backup-simplify]: Simplify (- 1) into -1 0.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.653 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.653 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.653 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0.653 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 0.654 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.654 * [taylor]: Taking taylor expansion of 0 in n 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.654 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.654 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.654 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.655 * [taylor]: Taking taylor expansion of +nan.0 in n 0.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.655 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.655 * [taylor]: Taking taylor expansion of 0.5 in n 0.655 * [backup-simplify]: Simplify 0.5 into 0.5 0.655 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.655 * [taylor]: Taking taylor expansion of 2.0 in n 0.655 * [backup-simplify]: Simplify 2.0 into 2.0 0.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.655 * [taylor]: Taking taylor expansion of PI in n 0.655 * [backup-simplify]: Simplify PI into PI 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ PI 1) into PI 0.655 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.656 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [backup-simplify]: Simplify 1.0 into 1.0 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.656 * [taylor]: Taking taylor expansion of k in n 0.656 * [backup-simplify]: Simplify k into k 0.656 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.657 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.657 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.658 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.658 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.659 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.660 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 0.660 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.661 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.661 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.664 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.664 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.664 * [taylor]: Taking taylor expansion of +nan.0 in n 0.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.664 * [taylor]: Taking taylor expansion of 0.5 in n 0.664 * [backup-simplify]: Simplify 0.5 into 0.5 0.664 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.664 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.664 * [taylor]: Taking taylor expansion of 2.0 in n 0.664 * [backup-simplify]: Simplify 2.0 into 2.0 0.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.664 * [taylor]: Taking taylor expansion of PI in n 0.664 * [backup-simplify]: Simplify PI into PI 0.664 * [taylor]: Taking taylor expansion of n in n 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ PI 1) into PI 0.665 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.666 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.666 * [taylor]: Taking taylor expansion of 1.0 in n 0.666 * [backup-simplify]: Simplify 1.0 into 1.0 0.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.666 * [taylor]: Taking taylor expansion of k in n 0.666 * [backup-simplify]: Simplify k into k 0.666 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.667 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.667 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.667 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.668 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.669 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.669 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 0.670 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.671 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.672 * [backup-simplify]: Simplify (- 0) into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.675 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 0.677 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.682 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.682 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.682 * [taylor]: Taking taylor expansion of +nan.0 in n 0.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.682 * [taylor]: Taking taylor expansion of 0.5 in n 0.682 * [backup-simplify]: Simplify 0.5 into 0.5 0.682 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.682 * [taylor]: Taking taylor expansion of 2.0 in n 0.682 * [backup-simplify]: Simplify 2.0 into 2.0 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.682 * [taylor]: Taking taylor expansion of PI in n 0.682 * [backup-simplify]: Simplify PI into PI 0.682 * [taylor]: Taking taylor expansion of n in n 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (/ PI 1) into PI 0.682 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.683 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [backup-simplify]: Simplify 1.0 into 1.0 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.683 * [backup-simplify]: Simplify k into k 0.683 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.684 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.684 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.684 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.685 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.685 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.686 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.687 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 0.688 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.688 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.691 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 0.692 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 0.692 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.692 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.692 * [taylor]: Taking taylor expansion of 1.0 in n 0.692 * [backup-simplify]: Simplify 1.0 into 1.0 0.692 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.692 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.692 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.692 * [taylor]: Taking taylor expansion of 0.5 in n 0.692 * [backup-simplify]: Simplify 0.5 into 0.5 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.692 * [taylor]: Taking taylor expansion of k in n 0.692 * [backup-simplify]: Simplify k into k 0.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.692 * [taylor]: Taking taylor expansion of 1.0 in n 0.692 * [backup-simplify]: Simplify 1.0 into 1.0 0.692 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.692 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.692 * [taylor]: Taking taylor expansion of -2.0 in n 0.692 * [backup-simplify]: Simplify -2.0 into -2.0 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [backup-simplify]: Simplify PI into PI 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ PI 1) into PI 0.693 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.694 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.694 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.694 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.695 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.696 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.696 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.696 * [taylor]: Taking taylor expansion of -1 in n 0.696 * [backup-simplify]: Simplify -1 into -1 0.696 * [taylor]: Taking taylor expansion of k in n 0.696 * [backup-simplify]: Simplify k into k 0.696 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 0.696 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 0.696 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 0.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 0.697 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 0.697 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.697 * [taylor]: Taking taylor expansion of 1.0 in k 0.697 * [backup-simplify]: Simplify 1.0 into 1.0 0.697 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.697 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.697 * [taylor]: Taking taylor expansion of 0.5 in k 0.697 * [backup-simplify]: Simplify 0.5 into 0.5 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.697 * [taylor]: Taking taylor expansion of k in k 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [taylor]: Taking taylor expansion of 1.0 in k 0.697 * [backup-simplify]: Simplify 1.0 into 1.0 0.697 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.697 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.697 * [taylor]: Taking taylor expansion of -2.0 in k 0.697 * [backup-simplify]: Simplify -2.0 into -2.0 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.697 * [taylor]: Taking taylor expansion of PI in k 0.697 * [backup-simplify]: Simplify PI into PI 0.698 * [taylor]: Taking taylor expansion of n in k 0.698 * [backup-simplify]: Simplify n into n 0.698 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.698 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.698 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.698 * [backup-simplify]: Simplify (+ 1 0) into 1 0.698 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.698 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.698 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0.698 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.698 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.698 * [taylor]: Taking taylor expansion of -1 in k 0.698 * [backup-simplify]: Simplify -1 into -1 0.698 * [taylor]: Taking taylor expansion of k in k 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ -1 1) into -1 0.699 * [backup-simplify]: Simplify (sqrt 0) into 0 0.700 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.700 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 0.700 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.700 * [taylor]: Taking taylor expansion of 1.0 in k 0.700 * [backup-simplify]: Simplify 1.0 into 1.0 0.700 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.700 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.700 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.700 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.700 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.700 * [taylor]: Taking taylor expansion of 0.5 in k 0.700 * [backup-simplify]: Simplify 0.5 into 0.5 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.700 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.700 * [taylor]: Taking taylor expansion of k in k 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify (/ 1 1) into 1 0.700 * [taylor]: Taking taylor expansion of 1.0 in k 0.700 * [backup-simplify]: Simplify 1.0 into 1.0 0.700 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.701 * [taylor]: Taking taylor expansion of -2.0 in k 0.701 * [backup-simplify]: Simplify -2.0 into -2.0 0.701 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.701 * [taylor]: Taking taylor expansion of PI in k 0.701 * [backup-simplify]: Simplify PI into PI 0.701 * [taylor]: Taking taylor expansion of n in k 0.701 * [backup-simplify]: Simplify n into n 0.701 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.701 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.701 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.701 * [backup-simplify]: Simplify (+ 1 0) into 1 0.701 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.701 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.701 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0.701 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.701 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.702 * [taylor]: Taking taylor expansion of -1 in k 0.702 * [backup-simplify]: Simplify -1 into -1 0.702 * [taylor]: Taking taylor expansion of k in k 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ -1 1) into -1 0.702 * [backup-simplify]: Simplify (sqrt 0) into 0 0.703 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.703 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 0.703 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 0.703 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.703 * [taylor]: Taking taylor expansion of +nan.0 in n 0.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.703 * [taylor]: Taking taylor expansion of 0.5 in n 0.703 * [backup-simplify]: Simplify 0.5 into 0.5 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.703 * [taylor]: Taking taylor expansion of k in n 0.703 * [backup-simplify]: Simplify k into k 0.703 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.703 * [taylor]: Taking taylor expansion of 1.0 in n 0.703 * [backup-simplify]: Simplify 1.0 into 1.0 0.703 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.703 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.703 * [taylor]: Taking taylor expansion of -2.0 in n 0.703 * [backup-simplify]: Simplify -2.0 into -2.0 0.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.703 * [taylor]: Taking taylor expansion of PI in n 0.703 * [backup-simplify]: Simplify PI into PI 0.704 * [taylor]: Taking taylor expansion of n in n 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ PI 1) into PI 0.704 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.705 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.705 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.706 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.706 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.707 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.708 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.708 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.709 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.712 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.712 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.712 * [taylor]: Taking taylor expansion of +nan.0 in n 0.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.712 * [taylor]: Taking taylor expansion of 0.5 in n 0.712 * [backup-simplify]: Simplify 0.5 into 0.5 0.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.712 * [taylor]: Taking taylor expansion of k in n 0.712 * [backup-simplify]: Simplify k into k 0.712 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.712 * [taylor]: Taking taylor expansion of 1.0 in n 0.712 * [backup-simplify]: Simplify 1.0 into 1.0 0.712 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.712 * [taylor]: Taking taylor expansion of -2.0 in n 0.712 * [backup-simplify]: Simplify -2.0 into -2.0 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [backup-simplify]: Simplify PI into PI 0.712 * [taylor]: Taking taylor expansion of n in n 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ PI 1) into PI 0.713 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.714 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.714 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.715 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.716 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.717 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.717 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.718 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.719 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.722 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 0.724 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.729 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.729 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.730 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.730 * [taylor]: Taking taylor expansion of +nan.0 in n 0.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.730 * [taylor]: Taking taylor expansion of 0.5 in n 0.730 * [backup-simplify]: Simplify 0.5 into 0.5 0.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.730 * [taylor]: Taking taylor expansion of k in n 0.730 * [backup-simplify]: Simplify k into k 0.730 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.730 * [taylor]: Taking taylor expansion of 1.0 in n 0.730 * [backup-simplify]: Simplify 1.0 into 1.0 0.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.730 * [taylor]: Taking taylor expansion of -2.0 in n 0.730 * [backup-simplify]: Simplify -2.0 into -2.0 0.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.730 * [taylor]: Taking taylor expansion of PI in n 0.730 * [backup-simplify]: Simplify PI into PI 0.730 * [taylor]: Taking taylor expansion of n in n 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ PI 1) into PI 0.731 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.731 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.731 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.733 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.733 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.734 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.735 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.735 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.736 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.742 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.742 * * * [progress]: simplifying candidates 0.745 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) 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(/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 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h3)) (/ (sqrt h4) h3) (expm1 (* (* h0 h1) h2)) (log1p (* (* h0 h1) h2)) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (* h0 h1) h2)) (cbrt (* (* h0 h1) h2))) (cbrt (* (* h0 h1) h2)) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (expm1 (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (log1p (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (+ (- (log h3) (log (sqrt h4))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (+ (log (/ h3 (sqrt h4))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (log (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (exp (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (* (* h3 h3) h3) (* (* (sqrt h4) (sqrt h4)) (sqrt h4))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (* (* (/ h3 (sqrt h4)) (/ h3 (sqrt h4))) (/ h3 (sqrt h4))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))))) (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (* (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (sqrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (sqrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* h3 (pow (* (* h0 h1) h2) (/ h3 h0))) (* (sqrt h4) (pow (* (* h0 h1) h2) (/ h4 h0))) (* (sqrt (/ h3 (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (sqrt (/ h3 (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ h3 (sqrt h4)) (pow (* h0 h1) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))))) (* (/ h3 (sqrt h4)) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ h3 (sqrt h4)) 1) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (cbrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ 1 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ h3 h0))) (* h3 (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (- (+ (* h9 (* (* (pow h4 2) (pow (log (* h0 h1)) 2)) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log (* h0 h1))) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (* (log (* h0 h1)) (log h2))) (pow (* (pow h1 h3) (* (pow h0 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log (* h0 h1))) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (pow (log h2) 2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)) (- (+ (* h9 (* (pow h4 2) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (* h9 (* h4 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)))))))))))))))))))))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 3))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) h4)) (- (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 2)))))))) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) h4)) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (pow h4 2))) (- (* h9 (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))))))))) 0.755 * * [simplify]: iteration 0 : 981 enodes (cost 1502 ) 0.771 * * [simplify]: iteration 1 : 4021 enodes (cost 1398 ) 0.833 * * [simplify]: iteration 2 : 5003 enodes (cost 1383 ) 0.839 * * * [progress]: adding candidates to table 1.259 * * [progress]: iteration 2 / 4 1.259 * * * [progress]: picking best candidate 1.286 * * * * [pick]: Picked # 1.286 * * * [progress]: localizing error 1.301 * * * [progress]: generating rewritten candidates 1.301 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.327 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.357 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.412 * * * [progress]: generating series expansions 1.412 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.413 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 1.413 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.413 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.413 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.413 * [taylor]: Taking taylor expansion of 0.25 in k 1.413 * [backup-simplify]: Simplify 0.25 into 0.25 1.413 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.413 * [taylor]: Taking taylor expansion of 1.0 in k 1.413 * [backup-simplify]: Simplify 1.0 into 1.0 1.413 * [taylor]: Taking taylor expansion of k in k 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.413 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.413 * [taylor]: Taking taylor expansion of 2.0 in k 1.413 * [backup-simplify]: Simplify 2.0 into 2.0 1.413 * [taylor]: Taking taylor expansion of (* n PI) in k 1.413 * [taylor]: Taking taylor expansion of n in k 1.413 * [backup-simplify]: Simplify n into n 1.413 * [taylor]: Taking taylor expansion of PI in k 1.413 * [backup-simplify]: Simplify PI into PI 1.413 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.414 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.414 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.414 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.414 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.415 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.415 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.415 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.415 * [taylor]: Taking taylor expansion of 0.25 in n 1.415 * [backup-simplify]: Simplify 0.25 into 0.25 1.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.415 * [taylor]: Taking taylor expansion of 1.0 in n 1.415 * [backup-simplify]: Simplify 1.0 into 1.0 1.415 * [taylor]: Taking taylor expansion of k in n 1.415 * [backup-simplify]: Simplify k into k 1.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.415 * [taylor]: Taking taylor expansion of 2.0 in n 1.415 * [backup-simplify]: Simplify 2.0 into 2.0 1.415 * [taylor]: Taking taylor expansion of (* n PI) in n 1.415 * [taylor]: Taking taylor expansion of n in n 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of PI in n 1.415 * [backup-simplify]: Simplify PI into PI 1.415 * [backup-simplify]: Simplify (* 0 PI) into 0 1.415 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.417 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.418 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.418 * [backup-simplify]: Simplify (- k) into (- k) 1.418 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.418 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.419 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.420 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.420 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.420 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.420 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.420 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.420 * [taylor]: Taking taylor expansion of 0.25 in n 1.420 * [backup-simplify]: Simplify 0.25 into 0.25 1.420 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.420 * [taylor]: Taking taylor expansion of 1.0 in n 1.420 * [backup-simplify]: Simplify 1.0 into 1.0 1.420 * [taylor]: Taking taylor expansion of k in n 1.420 * [backup-simplify]: Simplify k into k 1.420 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.420 * [taylor]: Taking taylor expansion of 2.0 in n 1.420 * [backup-simplify]: Simplify 2.0 into 2.0 1.420 * [taylor]: Taking taylor expansion of (* n PI) in n 1.420 * [taylor]: Taking taylor expansion of n in n 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of PI in n 1.421 * [backup-simplify]: Simplify PI into PI 1.421 * [backup-simplify]: Simplify (* 0 PI) into 0 1.421 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.423 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.423 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.423 * [backup-simplify]: Simplify (- k) into (- k) 1.423 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.423 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.424 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.425 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.426 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.426 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.426 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.426 * [taylor]: Taking taylor expansion of 0.25 in k 1.426 * [backup-simplify]: Simplify 0.25 into 0.25 1.426 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.426 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.426 * [taylor]: Taking taylor expansion of 1.0 in k 1.426 * [backup-simplify]: Simplify 1.0 into 1.0 1.426 * [taylor]: Taking taylor expansion of k in k 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.426 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.426 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.426 * [taylor]: Taking taylor expansion of 2.0 in k 1.426 * [backup-simplify]: Simplify 2.0 into 2.0 1.426 * [taylor]: Taking taylor expansion of PI in k 1.426 * [backup-simplify]: Simplify PI into PI 1.426 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.427 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.427 * [taylor]: Taking taylor expansion of (log n) in k 1.427 * [taylor]: Taking taylor expansion of n in k 1.427 * [backup-simplify]: Simplify n into n 1.427 * [backup-simplify]: Simplify (log n) into (log n) 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.428 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.429 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.429 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.430 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.431 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.434 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.435 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.436 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.436 * [taylor]: Taking taylor expansion of 0 in k 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (- 1) into -1 1.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.440 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.441 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.443 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.444 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.446 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.453 * [backup-simplify]: Simplify (- 0) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.455 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.457 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.457 * [taylor]: Taking taylor expansion of 0 in k 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.463 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.465 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.469 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.475 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.475 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 1.475 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.475 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.475 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.475 * [taylor]: Taking taylor expansion of 0.25 in k 1.475 * [backup-simplify]: Simplify 0.25 into 0.25 1.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.475 * [taylor]: Taking taylor expansion of 1.0 in k 1.475 * [backup-simplify]: Simplify 1.0 into 1.0 1.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.475 * [taylor]: Taking taylor expansion of k in k 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (/ 1 1) into 1 1.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.476 * [taylor]: Taking taylor expansion of 2.0 in k 1.476 * [backup-simplify]: Simplify 2.0 into 2.0 1.476 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.476 * [taylor]: Taking taylor expansion of PI in k 1.476 * [backup-simplify]: Simplify PI into PI 1.476 * [taylor]: Taking taylor expansion of n in k 1.476 * [backup-simplify]: Simplify n into n 1.476 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.476 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.476 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.476 * [backup-simplify]: Simplify (- 1) into -1 1.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.477 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 1.477 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 1.477 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.477 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.477 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.477 * [taylor]: Taking taylor expansion of 0.25 in n 1.477 * [backup-simplify]: Simplify 0.25 into 0.25 1.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.477 * [taylor]: Taking taylor expansion of 1.0 in n 1.477 * [backup-simplify]: Simplify 1.0 into 1.0 1.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.477 * [taylor]: Taking taylor expansion of k in n 1.477 * [backup-simplify]: Simplify k into k 1.477 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.477 * [taylor]: Taking taylor expansion of 2.0 in n 1.477 * [backup-simplify]: Simplify 2.0 into 2.0 1.477 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.477 * [backup-simplify]: Simplify PI into PI 1.477 * [taylor]: Taking taylor expansion of n in n 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (/ PI 1) into PI 1.478 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.478 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.478 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.478 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.479 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.480 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.481 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.481 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.481 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.481 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.481 * [taylor]: Taking taylor expansion of 0.25 in n 1.481 * [backup-simplify]: Simplify 0.25 into 0.25 1.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [backup-simplify]: Simplify 1.0 into 1.0 1.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.481 * [taylor]: Taking taylor expansion of k in n 1.481 * [backup-simplify]: Simplify k into k 1.481 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.481 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.481 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.481 * [taylor]: Taking taylor expansion of 2.0 in n 1.481 * [backup-simplify]: Simplify 2.0 into 2.0 1.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.481 * [taylor]: Taking taylor expansion of PI in n 1.481 * [backup-simplify]: Simplify PI into PI 1.481 * [taylor]: Taking taylor expansion of n in n 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (/ PI 1) into PI 1.482 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.482 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.482 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.482 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.482 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.483 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.484 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.485 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.485 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.485 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.485 * [taylor]: Taking taylor expansion of 0.25 in k 1.485 * [backup-simplify]: Simplify 0.25 into 0.25 1.485 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.485 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.485 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.485 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.485 * [taylor]: Taking taylor expansion of 2.0 in k 1.485 * [backup-simplify]: Simplify 2.0 into 2.0 1.485 * [taylor]: Taking taylor expansion of PI in k 1.485 * [backup-simplify]: Simplify PI into PI 1.485 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.486 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.486 * [taylor]: Taking taylor expansion of (log n) in k 1.486 * [taylor]: Taking taylor expansion of n in k 1.486 * [backup-simplify]: Simplify n into n 1.486 * [backup-simplify]: Simplify (log n) into (log n) 1.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.486 * [taylor]: Taking taylor expansion of 1.0 in k 1.486 * [backup-simplify]: Simplify 1.0 into 1.0 1.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.486 * [taylor]: Taking taylor expansion of k in k 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.487 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.487 * [backup-simplify]: Simplify (- 1) into -1 1.487 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.488 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.489 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 1.489 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.490 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.494 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.495 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.495 * [taylor]: Taking taylor expansion of 0 in k 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.500 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.501 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.503 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.503 * [taylor]: Taking taylor expansion of 0 in k 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.507 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.507 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.510 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.511 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.512 * [taylor]: Taking taylor expansion of 0 in k 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.513 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 1.513 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.513 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.513 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.513 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.513 * [taylor]: Taking taylor expansion of 0.25 in k 1.513 * [backup-simplify]: Simplify 0.25 into 0.25 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.513 * [taylor]: Taking taylor expansion of k in k 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [taylor]: Taking taylor expansion of 1.0 in k 1.513 * [backup-simplify]: Simplify 1.0 into 1.0 1.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.513 * [taylor]: Taking taylor expansion of -2.0 in k 1.513 * [backup-simplify]: Simplify -2.0 into -2.0 1.513 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.513 * [taylor]: Taking taylor expansion of PI in k 1.513 * [backup-simplify]: Simplify PI into PI 1.513 * [taylor]: Taking taylor expansion of n in k 1.513 * [backup-simplify]: Simplify n into n 1.513 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.514 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.514 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.514 * [backup-simplify]: Simplify (+ 1 0) into 1 1.514 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.514 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 1.514 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.514 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.514 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.514 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.514 * [taylor]: Taking taylor expansion of 0.25 in n 1.514 * [backup-simplify]: Simplify 0.25 into 0.25 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.514 * [taylor]: Taking taylor expansion of k in n 1.514 * [backup-simplify]: Simplify k into k 1.515 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.515 * [taylor]: Taking taylor expansion of 1.0 in n 1.515 * [backup-simplify]: Simplify 1.0 into 1.0 1.515 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.515 * [taylor]: Taking taylor expansion of -2.0 in n 1.515 * [backup-simplify]: Simplify -2.0 into -2.0 1.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.515 * [taylor]: Taking taylor expansion of PI in n 1.515 * [backup-simplify]: Simplify PI into PI 1.515 * [taylor]: Taking taylor expansion of n in n 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ PI 1) into PI 1.515 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.516 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.516 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.516 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.517 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.518 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.518 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.518 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.518 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.518 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.518 * [taylor]: Taking taylor expansion of 0.25 in n 1.518 * [backup-simplify]: Simplify 0.25 into 0.25 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.518 * [taylor]: Taking taylor expansion of k in n 1.519 * [backup-simplify]: Simplify k into k 1.519 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.519 * [taylor]: Taking taylor expansion of 1.0 in n 1.519 * [backup-simplify]: Simplify 1.0 into 1.0 1.519 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.519 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.519 * [taylor]: Taking taylor expansion of -2.0 in n 1.519 * [backup-simplify]: Simplify -2.0 into -2.0 1.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.519 * [taylor]: Taking taylor expansion of PI in n 1.519 * [backup-simplify]: Simplify PI into PI 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (/ PI 1) into PI 1.519 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.520 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.520 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.520 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.521 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.521 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.522 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.522 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.522 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.522 * [taylor]: Taking taylor expansion of 0.25 in k 1.522 * [backup-simplify]: Simplify 0.25 into 0.25 1.522 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.522 * [taylor]: Taking taylor expansion of k in k 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (/ 1 1) into 1 1.523 * [taylor]: Taking taylor expansion of 1.0 in k 1.523 * [backup-simplify]: Simplify 1.0 into 1.0 1.523 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.523 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.523 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.523 * [taylor]: Taking taylor expansion of -2.0 in k 1.523 * [backup-simplify]: Simplify -2.0 into -2.0 1.523 * [taylor]: Taking taylor expansion of PI in k 1.523 * [backup-simplify]: Simplify PI into PI 1.523 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.524 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.524 * [taylor]: Taking taylor expansion of (log n) in k 1.524 * [taylor]: Taking taylor expansion of n in k 1.524 * [backup-simplify]: Simplify n into n 1.524 * [backup-simplify]: Simplify (log n) into (log n) 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.524 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.525 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.525 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.526 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 1.527 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.527 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.531 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.531 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.532 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.532 * [taylor]: Taking taylor expansion of 0 in k 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.535 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 1.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.538 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.539 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.539 * [taylor]: Taking taylor expansion of 0 in k 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.546 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.550 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.551 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.551 * [taylor]: Taking taylor expansion of 0 in k 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.552 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.553 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 1.553 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.553 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.553 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.553 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.553 * [taylor]: Taking taylor expansion of 0.25 in k 1.553 * [backup-simplify]: Simplify 0.25 into 0.25 1.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [taylor]: Taking taylor expansion of k in k 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.553 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.553 * [taylor]: Taking taylor expansion of 2.0 in k 1.553 * [backup-simplify]: Simplify 2.0 into 2.0 1.553 * [taylor]: Taking taylor expansion of (* n PI) in k 1.553 * [taylor]: Taking taylor expansion of n in k 1.553 * [backup-simplify]: Simplify n into n 1.553 * [taylor]: Taking taylor expansion of PI in k 1.553 * [backup-simplify]: Simplify PI into PI 1.553 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.553 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.553 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.554 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.554 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.554 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.554 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.554 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.554 * [taylor]: Taking taylor expansion of 0.25 in n 1.554 * [backup-simplify]: Simplify 0.25 into 0.25 1.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.554 * [taylor]: Taking taylor expansion of 1.0 in n 1.554 * [backup-simplify]: Simplify 1.0 into 1.0 1.554 * [taylor]: Taking taylor expansion of k in n 1.554 * [backup-simplify]: Simplify k into k 1.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.555 * [taylor]: Taking taylor expansion of 2.0 in n 1.555 * [backup-simplify]: Simplify 2.0 into 2.0 1.555 * [taylor]: Taking taylor expansion of (* n PI) in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [taylor]: Taking taylor expansion of PI in n 1.555 * [backup-simplify]: Simplify PI into PI 1.555 * [backup-simplify]: Simplify (* 0 PI) into 0 1.555 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.557 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.557 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.557 * [backup-simplify]: Simplify (- k) into (- k) 1.558 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.558 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.558 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.559 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.560 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.560 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.560 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.560 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.560 * [taylor]: Taking taylor expansion of 0.25 in n 1.560 * [backup-simplify]: Simplify 0.25 into 0.25 1.560 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.560 * [taylor]: Taking taylor expansion of 1.0 in n 1.560 * [backup-simplify]: Simplify 1.0 into 1.0 1.560 * [taylor]: Taking taylor expansion of k in n 1.560 * [backup-simplify]: Simplify k into k 1.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.560 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.560 * [taylor]: Taking taylor expansion of 2.0 in n 1.560 * [backup-simplify]: Simplify 2.0 into 2.0 1.560 * [taylor]: Taking taylor expansion of (* n PI) in n 1.560 * [taylor]: Taking taylor expansion of n in n 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [taylor]: Taking taylor expansion of PI in n 1.560 * [backup-simplify]: Simplify PI into PI 1.560 * [backup-simplify]: Simplify (* 0 PI) into 0 1.561 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.562 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.563 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.563 * [backup-simplify]: Simplify (- k) into (- k) 1.563 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.563 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.564 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.565 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.565 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.565 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.565 * [taylor]: Taking taylor expansion of 0.25 in k 1.565 * [backup-simplify]: Simplify 0.25 into 0.25 1.565 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.565 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.565 * [taylor]: Taking taylor expansion of 1.0 in k 1.565 * [backup-simplify]: Simplify 1.0 into 1.0 1.565 * [taylor]: Taking taylor expansion of k in k 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.565 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.565 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.565 * [taylor]: Taking taylor expansion of 2.0 in k 1.565 * [backup-simplify]: Simplify 2.0 into 2.0 1.565 * [taylor]: Taking taylor expansion of PI in k 1.565 * [backup-simplify]: Simplify PI into PI 1.566 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.566 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.566 * [taylor]: Taking taylor expansion of (log n) in k 1.566 * [taylor]: Taking taylor expansion of n in k 1.566 * [backup-simplify]: Simplify n into n 1.566 * [backup-simplify]: Simplify (log n) into (log n) 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.568 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.568 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.569 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.570 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.570 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.571 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.574 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.575 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.576 * [taylor]: Taking taylor expansion of 0 in k 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (- 1) into -1 1.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.579 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.580 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.582 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.584 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.587 * [backup-simplify]: Simplify (- 0) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.589 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.590 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.590 * [taylor]: Taking taylor expansion of 0 in k 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.599 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.602 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.608 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.608 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 1.608 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.608 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.608 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.608 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.608 * [taylor]: Taking taylor expansion of 0.25 in k 1.608 * [backup-simplify]: Simplify 0.25 into 0.25 1.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.608 * [taylor]: Taking taylor expansion of 1.0 in k 1.608 * [backup-simplify]: Simplify 1.0 into 1.0 1.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.608 * [taylor]: Taking taylor expansion of k in k 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.609 * [taylor]: Taking taylor expansion of 2.0 in k 1.609 * [backup-simplify]: Simplify 2.0 into 2.0 1.609 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.609 * [taylor]: Taking taylor expansion of PI in k 1.609 * [backup-simplify]: Simplify PI into PI 1.609 * [taylor]: Taking taylor expansion of n in k 1.609 * [backup-simplify]: Simplify n into n 1.609 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.609 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.609 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.609 * [backup-simplify]: Simplify (- 1) into -1 1.609 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.610 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 1.610 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 1.610 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.610 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.610 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.610 * [taylor]: Taking taylor expansion of 0.25 in n 1.610 * [backup-simplify]: Simplify 0.25 into 0.25 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.610 * [taylor]: Taking taylor expansion of 1.0 in n 1.610 * [backup-simplify]: Simplify 1.0 into 1.0 1.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.610 * [taylor]: Taking taylor expansion of k in n 1.610 * [backup-simplify]: Simplify k into k 1.610 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.610 * [taylor]: Taking taylor expansion of 2.0 in n 1.610 * [backup-simplify]: Simplify 2.0 into 2.0 1.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.610 * [taylor]: Taking taylor expansion of PI in n 1.610 * [backup-simplify]: Simplify PI into PI 1.610 * [taylor]: Taking taylor expansion of n in n 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ PI 1) into PI 1.611 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.611 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.612 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.612 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.612 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.613 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.614 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.614 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.614 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.614 * [taylor]: Taking taylor expansion of 0.25 in n 1.614 * [backup-simplify]: Simplify 0.25 into 0.25 1.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.614 * [taylor]: Taking taylor expansion of 1.0 in n 1.614 * [backup-simplify]: Simplify 1.0 into 1.0 1.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.614 * [taylor]: Taking taylor expansion of k in n 1.614 * [backup-simplify]: Simplify k into k 1.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.614 * [taylor]: Taking taylor expansion of 2.0 in n 1.614 * [backup-simplify]: Simplify 2.0 into 2.0 1.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.614 * [taylor]: Taking taylor expansion of PI in n 1.614 * [backup-simplify]: Simplify PI into PI 1.614 * [taylor]: Taking taylor expansion of n in n 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ PI 1) into PI 1.615 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.615 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.615 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.615 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.616 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.616 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.617 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.618 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.618 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.618 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.618 * [taylor]: Taking taylor expansion of 0.25 in k 1.618 * [backup-simplify]: Simplify 0.25 into 0.25 1.618 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.618 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.618 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.618 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.618 * [taylor]: Taking taylor expansion of 2.0 in k 1.618 * [backup-simplify]: Simplify 2.0 into 2.0 1.618 * [taylor]: Taking taylor expansion of PI in k 1.618 * [backup-simplify]: Simplify PI into PI 1.618 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.619 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.619 * [taylor]: Taking taylor expansion of (log n) in k 1.619 * [taylor]: Taking taylor expansion of n in k 1.619 * [backup-simplify]: Simplify n into n 1.619 * [backup-simplify]: Simplify (log n) into (log n) 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.619 * [taylor]: Taking taylor expansion of 1.0 in k 1.619 * [backup-simplify]: Simplify 1.0 into 1.0 1.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.619 * [taylor]: Taking taylor expansion of k in k 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.620 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.620 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.620 * [backup-simplify]: Simplify (- 1) into -1 1.621 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.621 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.622 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 1.623 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.623 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.625 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.627 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.628 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.628 * [taylor]: Taking taylor expansion of 0 in k 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.637 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.639 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.639 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.643 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.643 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.646 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.647 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.647 * [taylor]: Taking taylor expansion of 0 in k 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.649 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 1.649 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.649 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.649 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.649 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.649 * [taylor]: Taking taylor expansion of 0.25 in k 1.649 * [backup-simplify]: Simplify 0.25 into 0.25 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.649 * [taylor]: Taking taylor expansion of k in k 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of 1.0 in k 1.649 * [backup-simplify]: Simplify 1.0 into 1.0 1.649 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.649 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.649 * [taylor]: Taking taylor expansion of -2.0 in k 1.649 * [backup-simplify]: Simplify -2.0 into -2.0 1.649 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.649 * [taylor]: Taking taylor expansion of PI in k 1.649 * [backup-simplify]: Simplify PI into PI 1.649 * [taylor]: Taking taylor expansion of n in k 1.649 * [backup-simplify]: Simplify n into n 1.649 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.649 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.649 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.650 * [backup-simplify]: Simplify (+ 1 0) into 1 1.650 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.650 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 1.650 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.650 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.650 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.650 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.650 * [taylor]: Taking taylor expansion of 0.25 in n 1.650 * [backup-simplify]: Simplify 0.25 into 0.25 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.650 * [taylor]: Taking taylor expansion of k in n 1.650 * [backup-simplify]: Simplify k into k 1.651 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [backup-simplify]: Simplify 1.0 into 1.0 1.651 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.651 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.651 * [taylor]: Taking taylor expansion of -2.0 in n 1.651 * [backup-simplify]: Simplify -2.0 into -2.0 1.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.651 * [backup-simplify]: Simplify PI into PI 1.651 * [taylor]: Taking taylor expansion of n in n 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (/ PI 1) into PI 1.651 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.652 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.652 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.652 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.653 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.654 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.654 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.654 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.654 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.654 * [taylor]: Taking taylor expansion of 0.25 in n 1.654 * [backup-simplify]: Simplify 0.25 into 0.25 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.654 * [taylor]: Taking taylor expansion of k in n 1.654 * [backup-simplify]: Simplify k into k 1.654 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.654 * [taylor]: Taking taylor expansion of 1.0 in n 1.654 * [backup-simplify]: Simplify 1.0 into 1.0 1.655 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.655 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.655 * [taylor]: Taking taylor expansion of -2.0 in n 1.655 * [backup-simplify]: Simplify -2.0 into -2.0 1.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.655 * [taylor]: Taking taylor expansion of PI in n 1.655 * [backup-simplify]: Simplify PI into PI 1.655 * [taylor]: Taking taylor expansion of n in n 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (/ PI 1) into PI 1.655 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.656 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.656 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.656 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.658 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.658 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.659 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.659 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.659 * [taylor]: Taking taylor expansion of 0.25 in k 1.659 * [backup-simplify]: Simplify 0.25 into 0.25 1.659 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.659 * [taylor]: Taking taylor expansion of k in k 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [taylor]: Taking taylor expansion of 1.0 in k 1.659 * [backup-simplify]: Simplify 1.0 into 1.0 1.659 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.659 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.659 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.659 * [taylor]: Taking taylor expansion of -2.0 in k 1.659 * [backup-simplify]: Simplify -2.0 into -2.0 1.659 * [taylor]: Taking taylor expansion of PI in k 1.659 * [backup-simplify]: Simplify PI into PI 1.659 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.660 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.660 * [taylor]: Taking taylor expansion of (log n) in k 1.660 * [taylor]: Taking taylor expansion of n in k 1.660 * [backup-simplify]: Simplify n into n 1.660 * [backup-simplify]: Simplify (log n) into (log n) 1.660 * [backup-simplify]: Simplify (+ 1 0) into 1 1.660 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.661 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.662 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.662 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 1.663 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.664 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.667 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.668 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.669 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.669 * [taylor]: Taking taylor expansion of 0 in k 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.674 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.675 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.676 * [taylor]: Taking taylor expansion of 0 in k 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.680 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.682 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.684 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in k 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.685 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.685 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.685 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.685 * [taylor]: Taking taylor expansion of 1.0 in k 1.685 * [backup-simplify]: Simplify 1.0 into 1.0 1.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.685 * [taylor]: Taking taylor expansion of k in k 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify (sqrt 0) into 0 1.686 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.686 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.686 * [taylor]: Taking taylor expansion of 1.0 in k 1.686 * [backup-simplify]: Simplify 1.0 into 1.0 1.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.686 * [taylor]: Taking taylor expansion of k in k 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [backup-simplify]: Simplify (sqrt 0) into 0 1.688 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.688 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.689 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.692 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.692 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.696 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.696 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.697 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.697 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.697 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.697 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.697 * [taylor]: Taking taylor expansion of 1.0 in k 1.697 * [backup-simplify]: Simplify 1.0 into 1.0 1.697 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.697 * [taylor]: Taking taylor expansion of k in k 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (sqrt 0) into 0 1.698 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.698 * [taylor]: Taking taylor expansion of 1.0 in k 1.698 * [backup-simplify]: Simplify 1.0 into 1.0 1.698 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.698 * [taylor]: Taking taylor expansion of k in k 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (sqrt 0) into 0 1.699 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.699 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.700 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.702 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.703 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.703 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.707 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.707 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.708 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1.708 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.708 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.708 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.708 * [taylor]: Taking taylor expansion of 1.0 in k 1.708 * [backup-simplify]: Simplify 1.0 into 1.0 1.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.708 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.708 * [taylor]: Taking taylor expansion of -1 in k 1.708 * [backup-simplify]: Simplify -1 into -1 1.708 * [taylor]: Taking taylor expansion of k in k 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (/ -1 1) into -1 1.709 * [backup-simplify]: Simplify (sqrt 0) into 0 1.709 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.710 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.710 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.710 * [taylor]: Taking taylor expansion of 1.0 in k 1.710 * [backup-simplify]: Simplify 1.0 into 1.0 1.710 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.710 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.710 * [taylor]: Taking taylor expansion of -1 in k 1.710 * [backup-simplify]: Simplify -1 into -1 1.710 * [taylor]: Taking taylor expansion of k in k 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (/ -1 1) into -1 1.710 * [backup-simplify]: Simplify (sqrt 0) into 0 1.711 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.711 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.711 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.715 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.715 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.723 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.723 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.724 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.725 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) into (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) 1.725 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 1.725 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 1.725 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.725 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.725 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.725 * [taylor]: Taking taylor expansion of 0.25 in k 1.725 * [backup-simplify]: Simplify 0.25 into 0.25 1.725 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.725 * [taylor]: Taking taylor expansion of 1.0 in k 1.725 * [backup-simplify]: Simplify 1.0 into 1.0 1.725 * [taylor]: Taking taylor expansion of k in k 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.725 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.725 * [taylor]: Taking taylor expansion of 2.0 in k 1.725 * [backup-simplify]: Simplify 2.0 into 2.0 1.725 * [taylor]: Taking taylor expansion of (* n PI) in k 1.725 * [taylor]: Taking taylor expansion of n in k 1.725 * [backup-simplify]: Simplify n into n 1.725 * [taylor]: Taking taylor expansion of PI in k 1.725 * [backup-simplify]: Simplify PI into PI 1.725 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.725 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.725 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.725 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.726 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.726 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.726 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.726 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.726 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.726 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.726 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.726 * [taylor]: Taking taylor expansion of 0.25 in n 1.726 * [backup-simplify]: Simplify 0.25 into 0.25 1.726 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.726 * [taylor]: Taking taylor expansion of 1.0 in n 1.726 * [backup-simplify]: Simplify 1.0 into 1.0 1.726 * [taylor]: Taking taylor expansion of k in n 1.726 * [backup-simplify]: Simplify k into k 1.726 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.726 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.726 * [taylor]: Taking taylor expansion of 2.0 in n 1.726 * [backup-simplify]: Simplify 2.0 into 2.0 1.726 * [taylor]: Taking taylor expansion of (* n PI) in n 1.726 * [taylor]: Taking taylor expansion of n in n 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [taylor]: Taking taylor expansion of PI in n 1.726 * [backup-simplify]: Simplify PI into PI 1.727 * [backup-simplify]: Simplify (* 0 PI) into 0 1.727 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.728 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.729 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.729 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.729 * [backup-simplify]: Simplify (- k) into (- k) 1.729 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.729 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.731 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.731 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.731 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.732 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.732 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.732 * [taylor]: Taking taylor expansion of 0.25 in n 1.732 * [backup-simplify]: Simplify 0.25 into 0.25 1.732 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.732 * [taylor]: Taking taylor expansion of 1.0 in n 1.732 * [backup-simplify]: Simplify 1.0 into 1.0 1.732 * [taylor]: Taking taylor expansion of k in n 1.732 * [backup-simplify]: Simplify k into k 1.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.732 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.732 * [taylor]: Taking taylor expansion of 2.0 in n 1.732 * [backup-simplify]: Simplify 2.0 into 2.0 1.732 * [taylor]: Taking taylor expansion of (* n PI) in n 1.732 * [taylor]: Taking taylor expansion of n in n 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [taylor]: Taking taylor expansion of PI in n 1.732 * [backup-simplify]: Simplify PI into PI 1.732 * [backup-simplify]: Simplify (* 0 PI) into 0 1.732 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.734 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.735 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.735 * [backup-simplify]: Simplify (- k) into (- k) 1.735 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.735 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.736 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.736 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.737 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.738 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) 1.738 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 1.738 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.738 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.738 * [taylor]: Taking taylor expansion of 0.25 in k 1.738 * [backup-simplify]: Simplify 0.25 into 0.25 1.738 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.738 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.738 * [taylor]: Taking taylor expansion of 1.0 in k 1.738 * [backup-simplify]: Simplify 1.0 into 1.0 1.738 * [taylor]: Taking taylor expansion of k in k 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.739 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.739 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.739 * [taylor]: Taking taylor expansion of 2.0 in k 1.739 * [backup-simplify]: Simplify 2.0 into 2.0 1.739 * [taylor]: Taking taylor expansion of PI in k 1.739 * [backup-simplify]: Simplify PI into PI 1.739 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.739 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.740 * [taylor]: Taking taylor expansion of (log n) in k 1.740 * [taylor]: Taking taylor expansion of n in k 1.740 * [backup-simplify]: Simplify n into n 1.740 * [backup-simplify]: Simplify (log n) into (log n) 1.740 * [backup-simplify]: Simplify (- 0) into 0 1.740 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.741 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.741 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.742 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.743 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.744 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) 1.744 * [backup-simplify]: Simplify (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) into (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) 1.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.748 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.749 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.750 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) into 0 1.751 * [taylor]: Taking taylor expansion of 0 in k 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (- 1) into -1 1.754 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.755 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.756 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.758 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.763 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) 1.765 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) into (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) 1.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.770 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.771 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.772 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in k 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.776 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.780 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.783 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.793 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) 1.798 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) 1.805 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) (* k 1)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) into (- (+ (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.125 (* (pow k 2) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.5 (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) 1.806 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) into (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) 1.806 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 1.806 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 1.806 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.806 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.806 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.806 * [taylor]: Taking taylor expansion of 0.25 in k 1.806 * [backup-simplify]: Simplify 0.25 into 0.25 1.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.806 * [taylor]: Taking taylor expansion of 1.0 in k 1.806 * [backup-simplify]: Simplify 1.0 into 1.0 1.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.806 * [taylor]: Taking taylor expansion of k in k 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ 1 1) into 1 1.807 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.807 * [taylor]: Taking taylor expansion of 2.0 in k 1.807 * [backup-simplify]: Simplify 2.0 into 2.0 1.807 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.807 * [taylor]: Taking taylor expansion of PI in k 1.807 * [backup-simplify]: Simplify PI into PI 1.807 * [taylor]: Taking taylor expansion of n in k 1.807 * [backup-simplify]: Simplify n into n 1.807 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.807 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.807 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.807 * [backup-simplify]: Simplify (- 1) into -1 1.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.808 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 1.808 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 1.808 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.808 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.808 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.808 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.808 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.808 * [taylor]: Taking taylor expansion of 0.25 in n 1.808 * [backup-simplify]: Simplify 0.25 into 0.25 1.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.808 * [taylor]: Taking taylor expansion of 1.0 in n 1.808 * [backup-simplify]: Simplify 1.0 into 1.0 1.808 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.808 * [taylor]: Taking taylor expansion of k in n 1.808 * [backup-simplify]: Simplify k into k 1.808 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.808 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.808 * [taylor]: Taking taylor expansion of 2.0 in n 1.808 * [backup-simplify]: Simplify 2.0 into 2.0 1.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.808 * [taylor]: Taking taylor expansion of PI in n 1.808 * [backup-simplify]: Simplify PI into PI 1.808 * [taylor]: Taking taylor expansion of n in n 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (/ PI 1) into PI 1.809 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.813 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.813 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.813 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.813 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.814 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.815 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.815 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.815 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.815 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.815 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.815 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.815 * [taylor]: Taking taylor expansion of 0.25 in n 1.815 * [backup-simplify]: Simplify 0.25 into 0.25 1.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.815 * [taylor]: Taking taylor expansion of 1.0 in n 1.815 * [backup-simplify]: Simplify 1.0 into 1.0 1.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.815 * [taylor]: Taking taylor expansion of k in n 1.815 * [backup-simplify]: Simplify k into k 1.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.816 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.816 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.816 * [taylor]: Taking taylor expansion of 2.0 in n 1.816 * [backup-simplify]: Simplify 2.0 into 2.0 1.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.816 * [taylor]: Taking taylor expansion of PI in n 1.816 * [backup-simplify]: Simplify PI into PI 1.816 * [taylor]: Taking taylor expansion of n in n 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ PI 1) into PI 1.816 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.817 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.817 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.817 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.817 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.818 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.819 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.821 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 1.821 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 1.821 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.821 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.821 * [taylor]: Taking taylor expansion of 0.25 in k 1.821 * [backup-simplify]: Simplify 0.25 into 0.25 1.821 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.821 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.821 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.821 * [taylor]: Taking taylor expansion of 2.0 in k 1.821 * [backup-simplify]: Simplify 2.0 into 2.0 1.821 * [taylor]: Taking taylor expansion of PI in k 1.821 * [backup-simplify]: Simplify PI into PI 1.821 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.822 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.822 * [taylor]: Taking taylor expansion of (log n) in k 1.822 * [taylor]: Taking taylor expansion of n in k 1.822 * [backup-simplify]: Simplify n into n 1.822 * [backup-simplify]: Simplify (log n) into (log n) 1.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.822 * [taylor]: Taking taylor expansion of 1.0 in k 1.822 * [backup-simplify]: Simplify 1.0 into 1.0 1.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.822 * [taylor]: Taking taylor expansion of k in k 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.823 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.823 * [backup-simplify]: Simplify (- 1) into -1 1.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.824 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.825 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 1.825 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.827 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 1.828 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.830 * [backup-simplify]: Simplify (- 0) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.832 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.833 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 1.834 * [taylor]: Taking taylor expansion of 0 in k 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.839 * [backup-simplify]: Simplify (- 0) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.840 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.841 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.843 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 1.844 * [taylor]: Taking taylor expansion of 0 in k 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.850 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.854 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.855 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0 1.857 * [taylor]: Taking taylor expansion of 0 in k 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) 2) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) 1.859 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) into (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) 1.859 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 1.859 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 1.859 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.859 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.859 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.859 * [taylor]: Taking taylor expansion of 0.25 in k 1.859 * [backup-simplify]: Simplify 0.25 into 0.25 1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.859 * [taylor]: Taking taylor expansion of k in k 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of 1.0 in k 1.860 * [backup-simplify]: Simplify 1.0 into 1.0 1.860 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.860 * [taylor]: Taking taylor expansion of -2.0 in k 1.860 * [backup-simplify]: Simplify -2.0 into -2.0 1.860 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.860 * [taylor]: Taking taylor expansion of PI in k 1.860 * [backup-simplify]: Simplify PI into PI 1.860 * [taylor]: Taking taylor expansion of n in k 1.860 * [backup-simplify]: Simplify n into n 1.860 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.860 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.860 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.860 * [backup-simplify]: Simplify (+ 1 0) into 1 1.860 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.860 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 1.861 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.861 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.861 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.861 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.861 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.861 * [taylor]: Taking taylor expansion of 0.25 in n 1.861 * [backup-simplify]: Simplify 0.25 into 0.25 1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.861 * [taylor]: Taking taylor expansion of k in n 1.861 * [backup-simplify]: Simplify k into k 1.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.861 * [taylor]: Taking taylor expansion of 1.0 in n 1.861 * [backup-simplify]: Simplify 1.0 into 1.0 1.861 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.861 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.861 * [taylor]: Taking taylor expansion of -2.0 in n 1.861 * [backup-simplify]: Simplify -2.0 into -2.0 1.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.861 * [taylor]: Taking taylor expansion of PI in n 1.861 * [backup-simplify]: Simplify PI into PI 1.861 * [taylor]: Taking taylor expansion of n in n 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ PI 1) into PI 1.861 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.862 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.862 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.862 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.864 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.864 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.864 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.864 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.864 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.865 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.865 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.865 * [taylor]: Taking taylor expansion of 0.25 in n 1.865 * [backup-simplify]: Simplify 0.25 into 0.25 1.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.865 * [taylor]: Taking taylor expansion of k in n 1.865 * [backup-simplify]: Simplify k into k 1.865 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.865 * [taylor]: Taking taylor expansion of 1.0 in n 1.865 * [backup-simplify]: Simplify 1.0 into 1.0 1.865 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.865 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.865 * [taylor]: Taking taylor expansion of -2.0 in n 1.865 * [backup-simplify]: Simplify -2.0 into -2.0 1.865 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.865 * [taylor]: Taking taylor expansion of PI in n 1.865 * [backup-simplify]: Simplify PI into PI 1.865 * [taylor]: Taking taylor expansion of n in n 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (/ PI 1) into PI 1.865 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.866 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.866 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.866 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.868 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.868 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.870 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 1.870 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 1.870 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.870 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.870 * [taylor]: Taking taylor expansion of 0.25 in k 1.870 * [backup-simplify]: Simplify 0.25 into 0.25 1.870 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.870 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.870 * [taylor]: Taking taylor expansion of k in k 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.870 * [taylor]: Taking taylor expansion of 1.0 in k 1.870 * [backup-simplify]: Simplify 1.0 into 1.0 1.870 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.870 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.871 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.871 * [taylor]: Taking taylor expansion of -2.0 in k 1.871 * [backup-simplify]: Simplify -2.0 into -2.0 1.871 * [taylor]: Taking taylor expansion of PI in k 1.871 * [backup-simplify]: Simplify PI into PI 1.871 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.871 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.871 * [taylor]: Taking taylor expansion of (log n) in k 1.871 * [taylor]: Taking taylor expansion of n in k 1.871 * [backup-simplify]: Simplify n into n 1.872 * [backup-simplify]: Simplify (log n) into (log n) 1.872 * [backup-simplify]: Simplify (+ 1 0) into 1 1.872 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.872 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.873 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.874 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 1.874 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.876 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 1.877 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 1.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.881 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.882 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 1.883 * [taylor]: Taking taylor expansion of 0 in k 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.887 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.889 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.890 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.891 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into 0 1.893 * [taylor]: Taking taylor expansion of 0 in k 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.898 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.900 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.905 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.906 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into 0 1.908 * [taylor]: Taking taylor expansion of 0 in k 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) 1.909 * * * [progress]: simplifying candidates 1.914 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) 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(log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (- (+ (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (+ (* h6 (* (pow h4 2) (* (log (* h0 h1)) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2))))) (+ (* h10 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h10 (* (pow h4 2) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (pow (log h2) 2))))))) (+ (* h11 (* h4 (* (log (* h0 h1)) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h11 (* h4 (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2)))))) (pow (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) 2) (pow (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) 2) 1.928 * * [simplify]: iteration 0 : 1001 enodes (cost 2614 ) 1.943 * * [simplify]: iteration 1 : 3960 enodes (cost 2403 ) 2.000 * * [simplify]: iteration 2 : 5002 enodes (cost 2356 ) 2.010 * * * [progress]: adding candidates to table 2.804 * * [progress]: iteration 3 / 4 2.804 * * * [progress]: picking best candidate 2.831 * * * * [pick]: Picked # 2.831 * * * [progress]: localizing error 2.847 * * * [progress]: generating rewritten candidates 2.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.892 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.900 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.948 * * * [progress]: generating series expansions 2.948 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.949 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.949 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.949 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.949 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.949 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.949 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.949 * [taylor]: Taking taylor expansion of 0.5 in k 2.949 * [backup-simplify]: Simplify 0.5 into 0.5 2.949 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.949 * [taylor]: Taking taylor expansion of 1.0 in k 2.949 * [backup-simplify]: Simplify 1.0 into 1.0 2.949 * [taylor]: Taking taylor expansion of k in k 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.949 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.949 * [taylor]: Taking taylor expansion of 2.0 in k 2.949 * [backup-simplify]: Simplify 2.0 into 2.0 2.949 * [taylor]: Taking taylor expansion of (* n PI) in k 2.949 * [taylor]: Taking taylor expansion of n in k 2.949 * [backup-simplify]: Simplify n into n 2.949 * [taylor]: Taking taylor expansion of PI in k 2.949 * [backup-simplify]: Simplify PI into PI 2.949 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.949 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.949 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.950 * [backup-simplify]: Simplify (- 0) into 0 2.950 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.950 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.950 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.950 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.950 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.950 * [taylor]: Taking taylor expansion of 0.5 in n 2.950 * [backup-simplify]: Simplify 0.5 into 0.5 2.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.950 * [taylor]: Taking taylor expansion of 1.0 in n 2.950 * [backup-simplify]: Simplify 1.0 into 1.0 2.950 * [taylor]: Taking taylor expansion of k in n 2.951 * [backup-simplify]: Simplify k into k 2.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.951 * [taylor]: Taking taylor expansion of 2.0 in n 2.951 * [backup-simplify]: Simplify 2.0 into 2.0 2.951 * [taylor]: Taking taylor expansion of (* n PI) in n 2.951 * [taylor]: Taking taylor expansion of n in n 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of PI in n 2.951 * [backup-simplify]: Simplify PI into PI 2.951 * [backup-simplify]: Simplify (* 0 PI) into 0 2.951 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.952 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.953 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.954 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.954 * [backup-simplify]: Simplify (- k) into (- k) 2.954 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.954 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.955 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.956 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.956 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.956 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.956 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.956 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.956 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.956 * [taylor]: Taking taylor expansion of 0.5 in n 2.956 * [backup-simplify]: Simplify 0.5 into 0.5 2.956 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.956 * [taylor]: Taking taylor expansion of 1.0 in n 2.956 * [backup-simplify]: Simplify 1.0 into 1.0 2.956 * [taylor]: Taking taylor expansion of k in n 2.956 * [backup-simplify]: Simplify k into k 2.957 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.957 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.957 * [taylor]: Taking taylor expansion of 2.0 in n 2.957 * [backup-simplify]: Simplify 2.0 into 2.0 2.957 * [taylor]: Taking taylor expansion of (* n PI) in n 2.957 * [taylor]: Taking taylor expansion of n in n 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [taylor]: Taking taylor expansion of PI in n 2.957 * [backup-simplify]: Simplify PI into PI 2.957 * [backup-simplify]: Simplify (* 0 PI) into 0 2.957 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.958 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.959 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.959 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.959 * [backup-simplify]: Simplify (- k) into (- k) 2.960 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.960 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.960 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.961 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.962 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.962 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.962 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.962 * [taylor]: Taking taylor expansion of 0.5 in k 2.962 * [backup-simplify]: Simplify 0.5 into 0.5 2.962 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.962 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.962 * [taylor]: Taking taylor expansion of 1.0 in k 2.962 * [backup-simplify]: Simplify 1.0 into 1.0 2.962 * [taylor]: Taking taylor expansion of k in k 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.962 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.962 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.962 * [taylor]: Taking taylor expansion of 2.0 in k 2.962 * [backup-simplify]: Simplify 2.0 into 2.0 2.962 * [taylor]: Taking taylor expansion of PI in k 2.962 * [backup-simplify]: Simplify PI into PI 2.962 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.963 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.963 * [taylor]: Taking taylor expansion of (log n) in k 2.963 * [taylor]: Taking taylor expansion of n in k 2.963 * [backup-simplify]: Simplify n into n 2.963 * [backup-simplify]: Simplify (log n) into (log n) 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.964 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.965 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.966 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.966 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.967 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.969 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.970 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.972 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.973 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.973 * [taylor]: Taking taylor expansion of 0 in k 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (- 1) into -1 2.976 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.976 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.978 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2.980 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.981 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.987 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.988 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.988 * [taylor]: Taking taylor expansion of 0 in k 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.991 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.992 * [backup-simplify]: Simplify (+ 0 0) into 0 2.992 * [backup-simplify]: Simplify (- 0) into 0 2.992 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.997 * [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)))))) 3.000 * [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)))))) 3.006 * [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)))))) 3.006 * [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)))) 3.007 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.007 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.007 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.007 * [taylor]: Taking taylor expansion of 0.5 in k 3.007 * [backup-simplify]: Simplify 0.5 into 0.5 3.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.007 * [taylor]: Taking taylor expansion of 1.0 in k 3.007 * [backup-simplify]: Simplify 1.0 into 1.0 3.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.007 * [taylor]: Taking taylor expansion of k in k 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.007 * [taylor]: Taking taylor expansion of 2.0 in k 3.007 * [backup-simplify]: Simplify 2.0 into 2.0 3.007 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.007 * [taylor]: Taking taylor expansion of PI in k 3.007 * [backup-simplify]: Simplify PI into PI 3.007 * [taylor]: Taking taylor expansion of n in k 3.007 * [backup-simplify]: Simplify n into n 3.007 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.007 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.007 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.008 * [backup-simplify]: Simplify (- 1) into -1 3.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.008 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.008 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.008 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 3.008 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.008 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.008 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.008 * [taylor]: Taking taylor expansion of 0.5 in n 3.008 * [backup-simplify]: Simplify 0.5 into 0.5 3.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.008 * [taylor]: Taking taylor expansion of 1.0 in n 3.008 * [backup-simplify]: Simplify 1.0 into 1.0 3.008 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.008 * [taylor]: Taking taylor expansion of k in n 3.008 * [backup-simplify]: Simplify k into k 3.008 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.008 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.009 * [taylor]: Taking taylor expansion of 2.0 in n 3.009 * [backup-simplify]: Simplify 2.0 into 2.0 3.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.009 * [taylor]: Taking taylor expansion of PI in n 3.009 * [backup-simplify]: Simplify PI into PI 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (/ PI 1) into PI 3.009 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.010 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.010 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.010 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.010 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.012 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.012 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.012 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.012 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.012 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.012 * [taylor]: Taking taylor expansion of 0.5 in n 3.012 * [backup-simplify]: Simplify 0.5 into 0.5 3.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.012 * [taylor]: Taking taylor expansion of 1.0 in n 3.012 * [backup-simplify]: Simplify 1.0 into 1.0 3.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.012 * [taylor]: Taking taylor expansion of k in n 3.012 * [backup-simplify]: Simplify k into k 3.012 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.012 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.013 * [taylor]: Taking taylor expansion of 2.0 in n 3.013 * [backup-simplify]: Simplify 2.0 into 2.0 3.013 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.013 * [taylor]: Taking taylor expansion of PI in n 3.013 * [backup-simplify]: Simplify PI into PI 3.013 * [taylor]: Taking taylor expansion of n in n 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (/ PI 1) into PI 3.013 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.014 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.014 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.014 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.014 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.015 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.020 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.021 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.021 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.021 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.021 * [taylor]: Taking taylor expansion of 0.5 in k 3.021 * [backup-simplify]: Simplify 0.5 into 0.5 3.022 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.022 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.022 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.022 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.022 * [taylor]: Taking taylor expansion of 2.0 in k 3.022 * [backup-simplify]: Simplify 2.0 into 2.0 3.022 * [taylor]: Taking taylor expansion of PI in k 3.022 * [backup-simplify]: Simplify PI into PI 3.022 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.023 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.023 * [taylor]: Taking taylor expansion of (log n) in k 3.023 * [taylor]: Taking taylor expansion of n in k 3.023 * [backup-simplify]: Simplify n into n 3.023 * [backup-simplify]: Simplify (log n) into (log n) 3.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.023 * [taylor]: Taking taylor expansion of 1.0 in k 3.023 * [backup-simplify]: Simplify 1.0 into 1.0 3.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.023 * [taylor]: Taking taylor expansion of k in k 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.024 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.024 * [backup-simplify]: Simplify (- 1) into -1 3.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.025 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.025 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.026 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.027 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.029 * [backup-simplify]: Simplify (- 0) into 0 3.029 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.031 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.032 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.032 * [taylor]: Taking taylor expansion of 0 in k 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.035 * [backup-simplify]: Simplify (- 0) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.038 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.039 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.039 * [taylor]: Taking taylor expansion of 0 in k 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.044 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.044 * [backup-simplify]: Simplify (- 0) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.047 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.048 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.049 * [taylor]: Taking taylor expansion of 0 in k 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 3.050 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 3.050 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.050 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.050 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.050 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.050 * [taylor]: Taking taylor expansion of 0.5 in k 3.050 * [backup-simplify]: Simplify 0.5 into 0.5 3.050 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.050 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.050 * [taylor]: Taking taylor expansion of k in k 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (/ 1 1) into 1 3.050 * [taylor]: Taking taylor expansion of 1.0 in k 3.050 * [backup-simplify]: Simplify 1.0 into 1.0 3.050 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.050 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.050 * [taylor]: Taking taylor expansion of -2.0 in k 3.050 * [backup-simplify]: Simplify -2.0 into -2.0 3.050 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.050 * [taylor]: Taking taylor expansion of PI in k 3.050 * [backup-simplify]: Simplify PI into PI 3.050 * [taylor]: Taking taylor expansion of n in k 3.050 * [backup-simplify]: Simplify n into n 3.050 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.050 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.051 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.051 * [backup-simplify]: Simplify (+ 1 0) into 1 3.051 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.051 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.051 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 3.051 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.051 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.051 * [taylor]: Taking taylor expansion of 0.5 in n 3.051 * [backup-simplify]: Simplify 0.5 into 0.5 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.051 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.051 * [taylor]: Taking taylor expansion of k in n 3.051 * [backup-simplify]: Simplify k into k 3.051 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.051 * [taylor]: Taking taylor expansion of 1.0 in n 3.052 * [backup-simplify]: Simplify 1.0 into 1.0 3.052 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.052 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.052 * [taylor]: Taking taylor expansion of -2.0 in n 3.052 * [backup-simplify]: Simplify -2.0 into -2.0 3.052 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.052 * [taylor]: Taking taylor expansion of PI in n 3.052 * [backup-simplify]: Simplify PI into PI 3.052 * [taylor]: Taking taylor expansion of n in n 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (/ PI 1) into PI 3.052 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.053 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.053 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.053 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.054 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.054 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.055 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.055 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.055 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.055 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.055 * [taylor]: Taking taylor expansion of 0.5 in n 3.055 * [backup-simplify]: Simplify 0.5 into 0.5 3.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.055 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.055 * [taylor]: Taking taylor expansion of k in n 3.055 * [backup-simplify]: Simplify k into k 3.055 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.055 * [taylor]: Taking taylor expansion of 1.0 in n 3.055 * [backup-simplify]: Simplify 1.0 into 1.0 3.056 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.056 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.056 * [taylor]: Taking taylor expansion of -2.0 in n 3.056 * [backup-simplify]: Simplify -2.0 into -2.0 3.056 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.056 * [taylor]: Taking taylor expansion of PI in n 3.056 * [backup-simplify]: Simplify PI into PI 3.056 * [taylor]: Taking taylor expansion of n in n 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (/ PI 1) into PI 3.056 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.057 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.057 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.057 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.058 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.059 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.059 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.059 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.059 * [taylor]: Taking taylor expansion of 0.5 in k 3.059 * [backup-simplify]: Simplify 0.5 into 0.5 3.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.059 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.059 * [taylor]: Taking taylor expansion of k in k 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (/ 1 1) into 1 3.060 * [taylor]: Taking taylor expansion of 1.0 in k 3.060 * [backup-simplify]: Simplify 1.0 into 1.0 3.060 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.060 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.060 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.060 * [taylor]: Taking taylor expansion of -2.0 in k 3.060 * [backup-simplify]: Simplify -2.0 into -2.0 3.060 * [taylor]: Taking taylor expansion of PI in k 3.060 * [backup-simplify]: Simplify PI into PI 3.060 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.061 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.061 * [taylor]: Taking taylor expansion of (log n) in k 3.061 * [taylor]: Taking taylor expansion of n in k 3.061 * [backup-simplify]: Simplify n into n 3.061 * [backup-simplify]: Simplify (log n) into (log n) 3.061 * [backup-simplify]: Simplify (+ 1 0) into 1 3.061 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.062 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.062 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 3.063 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.064 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.065 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.069 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.070 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.070 * [taylor]: Taking taylor expansion of 0 in k 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 3.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.075 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.077 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.077 * [taylor]: Taking taylor expansion of 0 in k 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.081 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 3.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.081 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.084 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.085 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.086 * [taylor]: Taking taylor expansion of 0 in k 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.086 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.087 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 3.087 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.087 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [backup-simplify]: Simplify 1.0 into 1.0 3.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.087 * [taylor]: Taking taylor expansion of k in k 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (/ 1 1) into 1 3.087 * [backup-simplify]: Simplify (sqrt 0) into 0 3.088 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.088 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.088 * [taylor]: Taking taylor expansion of 1.0 in k 3.088 * [backup-simplify]: Simplify 1.0 into 1.0 3.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.088 * [taylor]: Taking taylor expansion of k in k 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (/ 1 1) into 1 3.089 * [backup-simplify]: Simplify (sqrt 0) into 0 3.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.090 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.090 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.091 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.094 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.094 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.098 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.098 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.099 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 3.099 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 3.099 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.099 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.099 * [taylor]: Taking taylor expansion of 1.0 in k 3.099 * [backup-simplify]: Simplify 1.0 into 1.0 3.099 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.099 * [taylor]: Taking taylor expansion of k in k 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (sqrt 0) into 0 3.100 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.101 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.101 * [taylor]: Taking taylor expansion of 1.0 in k 3.101 * [backup-simplify]: Simplify 1.0 into 1.0 3.101 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.101 * [taylor]: Taking taylor expansion of k in k 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (sqrt 0) into 0 3.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.102 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.103 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.105 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.106 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.106 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.113 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.113 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.114 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 3.114 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 3.114 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.114 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.114 * [taylor]: Taking taylor expansion of 1.0 in k 3.114 * [backup-simplify]: Simplify 1.0 into 1.0 3.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.114 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.114 * [taylor]: Taking taylor expansion of -1 in k 3.114 * [backup-simplify]: Simplify -1 into -1 3.114 * [taylor]: Taking taylor expansion of k in k 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (/ -1 1) into -1 3.115 * [backup-simplify]: Simplify (sqrt 0) into 0 3.115 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.116 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.116 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.116 * [taylor]: Taking taylor expansion of 1.0 in k 3.116 * [backup-simplify]: Simplify 1.0 into 1.0 3.116 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.116 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.116 * [taylor]: Taking taylor expansion of -1 in k 3.116 * [backup-simplify]: Simplify -1 into -1 3.116 * [taylor]: Taking taylor expansion of k in k 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (/ -1 1) into -1 3.116 * [backup-simplify]: Simplify (sqrt 0) into 0 3.117 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.117 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.117 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.121 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.121 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.126 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.126 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.127 * [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))))) 3.127 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.127 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 3.127 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 3.127 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 3.127 * [taylor]: Taking taylor expansion of 1.0 in k 3.127 * [backup-simplify]: Simplify 1.0 into 1.0 3.127 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.127 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.127 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.127 * [taylor]: Taking taylor expansion of 1/4 in k 3.127 * [backup-simplify]: Simplify 1/4 into 1/4 3.127 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.127 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.127 * [taylor]: Taking taylor expansion of k in k 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [backup-simplify]: Simplify (log 1) into 0 3.128 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.128 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 3.128 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 3.128 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 3.128 * [taylor]: Taking taylor expansion of 1.0 in k 3.128 * [backup-simplify]: Simplify 1.0 into 1.0 3.128 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.128 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.128 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.128 * [taylor]: Taking taylor expansion of 1/4 in k 3.128 * [backup-simplify]: Simplify 1/4 into 1/4 3.128 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.128 * [taylor]: Taking taylor expansion of k in k 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [backup-simplify]: Simplify (log 1) into 0 3.129 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.129 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 3.129 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 3.129 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 3.130 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.131 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.131 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 3.132 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.134 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.135 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 3.135 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.139 * [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 3.139 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 3.141 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.148 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 3.150 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.161 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 3.164 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.165 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.181 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.183 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 3.185 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 3.187 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 3.187 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 3.187 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 3.187 * [taylor]: Taking taylor expansion of 1.0 in k 3.187 * [backup-simplify]: Simplify 1.0 into 1.0 3.187 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.187 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.187 * [taylor]: Taking taylor expansion of 1/4 in k 3.187 * [backup-simplify]: Simplify 1/4 into 1/4 3.187 * [taylor]: Taking taylor expansion of (log k) in k 3.187 * [taylor]: Taking taylor expansion of k in k 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.188 * [backup-simplify]: Simplify (log 1) into 0 3.188 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.188 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 3.188 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 3.188 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 3.188 * [taylor]: Taking taylor expansion of 1.0 in k 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.188 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.188 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.188 * [taylor]: Taking taylor expansion of 1/4 in k 3.188 * [backup-simplify]: Simplify 1/4 into 1/4 3.188 * [taylor]: Taking taylor expansion of (log k) in k 3.188 * [taylor]: Taking taylor expansion of k in k 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [backup-simplify]: Simplify (log 1) into 0 3.189 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.189 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 3.189 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 3.189 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 3.189 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 3.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.190 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 3.191 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 3.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.196 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 3.197 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 3.198 * [backup-simplify]: Simplify 0 into 0 3.200 * [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 3.201 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.201 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 3.202 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.203 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.209 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.210 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 3.211 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 3.212 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.220 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 3.223 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.225 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 3.225 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.240 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 3.245 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 3.246 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 3.246 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 3.246 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 3.246 * [taylor]: Taking taylor expansion of 1.0 in k 3.246 * [backup-simplify]: Simplify 1.0 into 1.0 3.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.246 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.246 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.246 * [taylor]: Taking taylor expansion of -1 in k 3.246 * [backup-simplify]: Simplify -1 into -1 3.247 * [taylor]: Taking taylor expansion of k in k 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (/ -1 1) into -1 3.247 * [backup-simplify]: Simplify (sqrt 0) into 0 3.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.248 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.248 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 3.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.252 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.253 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 3.253 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 3.253 * [taylor]: Taking taylor expansion of 1.0 in k 3.253 * [backup-simplify]: Simplify 1.0 into 1.0 3.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.253 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.253 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.253 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.253 * [taylor]: Taking taylor expansion of -1 in k 3.253 * [backup-simplify]: Simplify -1 into -1 3.253 * [taylor]: Taking taylor expansion of k in k 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [backup-simplify]: Simplify (/ -1 1) into -1 3.254 * [backup-simplify]: Simplify (sqrt 0) into 0 3.254 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.255 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.255 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 3.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.258 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.259 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 3.260 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 3.260 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 3.262 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 3.263 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 3.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.268 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.271 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 3.281 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 3.286 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 3.292 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 3.292 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.293 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.293 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.293 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.293 * [taylor]: Taking taylor expansion of 2.0 in n 3.293 * [backup-simplify]: Simplify 2.0 into 2.0 3.293 * [taylor]: Taking taylor expansion of (* n PI) in n 3.293 * [taylor]: Taking taylor expansion of n in n 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of PI in n 3.293 * [backup-simplify]: Simplify PI into PI 3.293 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.293 * [taylor]: Taking taylor expansion of 2.0 in n 3.293 * [backup-simplify]: Simplify 2.0 into 2.0 3.293 * [taylor]: Taking taylor expansion of (* n PI) in n 3.293 * [taylor]: Taking taylor expansion of n in n 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of PI in n 3.293 * [backup-simplify]: Simplify PI into PI 3.293 * [backup-simplify]: Simplify (* 0 PI) into 0 3.294 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.296 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.296 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.298 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.303 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.306 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 3.306 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.306 * [taylor]: Taking taylor expansion of 2.0 in n 3.306 * [backup-simplify]: Simplify 2.0 into 2.0 3.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.306 * [taylor]: Taking taylor expansion of PI in n 3.306 * [backup-simplify]: Simplify PI into PI 3.306 * [taylor]: Taking taylor expansion of n in n 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ PI 1) into PI 3.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.306 * [taylor]: Taking taylor expansion of 2.0 in n 3.306 * [backup-simplify]: Simplify 2.0 into 2.0 3.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.306 * [taylor]: Taking taylor expansion of PI in n 3.306 * [backup-simplify]: Simplify PI into PI 3.306 * [taylor]: Taking taylor expansion of n in n 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (/ PI 1) into PI 3.307 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.307 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.309 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 3.315 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 3.315 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.315 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.315 * [taylor]: Taking taylor expansion of -2.0 in n 3.315 * [backup-simplify]: Simplify -2.0 into -2.0 3.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.316 * [taylor]: Taking taylor expansion of PI in n 3.316 * [backup-simplify]: Simplify PI into PI 3.316 * [taylor]: Taking taylor expansion of n in n 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (/ PI 1) into PI 3.316 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.316 * [taylor]: Taking taylor expansion of -2.0 in n 3.316 * [backup-simplify]: Simplify -2.0 into -2.0 3.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.316 * [taylor]: Taking taylor expansion of PI in n 3.316 * [backup-simplify]: Simplify PI into PI 3.316 * [taylor]: Taking taylor expansion of n in n 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (/ PI 1) into PI 3.317 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.317 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 3.325 * * * [progress]: simplifying candidates 3.333 * [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 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k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt 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h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ (/ 1 1) (sqrt (sqrt 1))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ (/ 1 1) (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ (/ 1 1) (sqrt 1)) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ (/ 1 1) (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ (/ 1 1) 1) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ 1 (* (cbrt (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4))))) (/ (/ h3 (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4)))) (/ 1 (sqrt (* (cbrt (sqrt h4)) (cbrt (sqrt h4))))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (cbrt (sqrt h4)))) (/ 1 (sqrt (sqrt (* (cbrt h4) (cbrt h4))))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (cbrt h4)))) (/ 1 (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ 1 (sqrt (sqrt 1))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ 1 (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ 1 (sqrt 1)) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ 1 (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ 1 1) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ h3 (* (cbrt (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4))))) (/ (/ 1 (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4)))) (/ h3 (sqrt (* (cbrt (sqrt h4)) (cbrt (sqrt h4))))) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (cbrt (sqrt h4)))) (/ h3 (sqrt (sqrt (* (cbrt h4) (cbrt h4))))) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (sqrt (cbrt h4)))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ h3 (sqrt (sqrt 1))) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ h3 (sqrt 1)) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ h3 1) (/ (/ 1 (sqrt (sqrt h4))) (sqrt (sqrt h4))) (/ 1 (sqrt (sqrt h4))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (* (cbrt (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4))))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (* (cbrt (sqrt h4)) (cbrt (sqrt h4))))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (* (cbrt h4) (cbrt h4))))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt 1))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) (sqrt 1)) (/ (/ h3 (sqrt (sqrt h4))) (sqrt (sqrt (sqrt h4)))) (/ (/ h3 (sqrt (sqrt h4))) 1) (/ (sqrt (sqrt h4)) (cbrt (/ h3 (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (sqrt (/ h3 (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (cbrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (cbrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (sqrt (cbrt h4))))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (cbrt h3) (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (cbrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (cbrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt (cbrt h4))))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ h3 (cbrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (cbrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt (cbrt h4))))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt (sqrt h4))))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ h3 (sqrt (sqrt h4)))) (/ (sqrt (sqrt h4)) (/ 1 (sqrt (sqrt h4)))) (* (sqrt (sqrt h4)) (sqrt (sqrt h4))) (expm1 (/ h3 (sqrt (sqrt h4)))) (log1p (/ h3 (sqrt (sqrt h4)))) (- (log h3) (log (sqrt (sqrt h4)))) (log (/ h3 (sqrt (sqrt h4)))) (exp (/ h3 (sqrt (sqrt h4)))) (/ (* (* h3 h3) h3) (* (* (sqrt (sqrt h4)) (sqrt (sqrt h4))) (sqrt (sqrt h4)))) (* (cbrt (/ h3 (sqrt (sqrt h4)))) (cbrt (/ h3 (sqrt (sqrt h4))))) (cbrt (/ h3 (sqrt (sqrt h4)))) (* (* (/ h3 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4)))) (/ h3 (sqrt (sqrt h4)))) (sqrt (/ h3 (sqrt (sqrt h4)))) (sqrt (/ h3 (sqrt (sqrt h4)))) (- h3) (- (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (* (cbrt (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4))))) (/ (cbrt h3) (cbrt (sqrt (sqrt h4)))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (* (cbrt (sqrt h4)) (cbrt (sqrt h4))))) (/ (cbrt h3) (sqrt (cbrt (sqrt h4)))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt (* (cbrt h4) (cbrt h4))))) (/ (cbrt h3) (sqrt (sqrt (cbrt h4)))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt (sqrt h4)))) (/ (cbrt h3) (sqrt (sqrt (sqrt h4)))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt 1))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt (sqrt h4)))) (/ (cbrt h3) (sqrt (sqrt (sqrt h4)))) (/ (* (cbrt h3) (cbrt h3)) (sqrt 1)) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt (sqrt h4)))) (/ (cbrt h3) (sqrt (sqrt (sqrt h4)))) (/ (* (cbrt h3) (cbrt h3)) 1) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (* (cbrt (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4))))) (/ (sqrt h3) (cbrt (sqrt (sqrt h4)))) (/ (sqrt h3) (sqrt (* (cbrt (sqrt h4)) (cbrt (sqrt h4))))) (/ (sqrt h3) (sqrt (cbrt (sqrt h4)))) (/ (sqrt h3) (sqrt (sqrt (* (cbrt h4) (cbrt h4))))) (/ (sqrt h3) (sqrt (sqrt (cbrt h4)))) (/ (sqrt h3) (sqrt (sqrt (sqrt h4)))) (/ (sqrt h3) (sqrt (sqrt (sqrt h4)))) (/ (sqrt h3) (sqrt (sqrt 1))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt (sqrt h4)))) (/ (sqrt h3) (sqrt (sqrt (sqrt h4)))) (/ (sqrt h3) (sqrt 1)) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt (sqrt h4)))) (/ (sqrt h3) (sqrt (sqrt (sqrt h4)))) (/ (sqrt h3) 1) (/ (sqrt h3) (sqrt (sqrt h4))) (/ 1 (* (cbrt (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4))))) (/ h3 (cbrt (sqrt (sqrt h4)))) (/ 1 (sqrt (* (cbrt (sqrt h4)) (cbrt (sqrt h4))))) (/ h3 (sqrt (cbrt (sqrt h4)))) (/ 1 (sqrt (sqrt (* (cbrt h4) (cbrt h4))))) (/ h3 (sqrt (sqrt (cbrt h4)))) (/ 1 (sqrt (sqrt (sqrt h4)))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ 1 (sqrt (sqrt 1))) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt (sqrt (sqrt h4)))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ 1 (sqrt 1)) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt (sqrt (sqrt h4)))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ 1 1) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt (sqrt h4))) (/ (sqrt (sqrt h4)) h3) (/ h3 (* (cbrt (sqrt (sqrt h4))) (cbrt (sqrt (sqrt h4))))) (/ h3 (sqrt (* (cbrt (sqrt h4)) (cbrt (sqrt h4))))) (/ h3 (sqrt (sqrt (* (cbrt h4) (cbrt h4))))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ h3 (sqrt (sqrt 1))) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ h3 (sqrt 1)) (/ h3 (sqrt (sqrt (sqrt h4)))) (/ h3 1) (/ (sqrt (sqrt h4)) (cbrt h3)) (/ (sqrt (sqrt h4)) (sqrt h3)) (/ (sqrt (sqrt h4)) h3) (expm1 (* (* h0 h1) h2)) (log1p (* (* h0 h1) h2)) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (* h0 h1) h2)) (cbrt (* (* h0 h1) h2))) (cbrt (* (* h0 h1) h2)) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (* h3 (pow (/ 1 h4) 1/4)) (* h3 (pow (/ 1 h4) 1/4)) (- (* h3 (sqrt h9)) (+ (* h9 (/ 1 (* (sqrt h9) (pow h4 2)))) (- (+ (* h9 (/ 1 (* (sqrt h9) h4))) (- (* h9 (/ 1 (* (pow (sqrt h9) 3) (pow h4 2))))))))) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (* h0 (* h2 h1)) 3.353 * * [simplify]: iteration 0 : 1355 enodes (cost 5833 ) 3.374 * * [simplify]: iteration 1 : 5001 enodes (cost 5050 ) 3.400 * * * [progress]: adding candidates to table 4.154 * * [progress]: iteration 4 / 4 4.154 * * * [progress]: picking best candidate 4.177 * * * * [pick]: Picked # 4.177 * * * [progress]: localizing error 4.196 * * * [progress]: generating rewritten candidates 4.196 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.203 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.213 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.219 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.257 * * * [progress]: generating series expansions 4.257 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.257 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 4.257 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.257 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.257 * [taylor]: Taking taylor expansion of 0.5 in k 4.257 * [backup-simplify]: Simplify 0.5 into 0.5 4.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.257 * [taylor]: Taking taylor expansion of 1.0 in k 4.257 * [backup-simplify]: Simplify 1.0 into 1.0 4.258 * [taylor]: Taking taylor expansion of k in k 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of (log n) in k 4.258 * [taylor]: Taking taylor expansion of n in k 4.258 * [backup-simplify]: Simplify n into n 4.258 * [backup-simplify]: Simplify (log n) into (log n) 4.258 * [backup-simplify]: Simplify (- 0) into 0 4.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.259 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.259 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.259 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.259 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.259 * [taylor]: Taking taylor expansion of 0.5 in n 4.259 * [backup-simplify]: Simplify 0.5 into 0.5 4.259 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.259 * [taylor]: Taking taylor expansion of 1.0 in n 4.259 * [backup-simplify]: Simplify 1.0 into 1.0 4.259 * [taylor]: Taking taylor expansion of k in n 4.259 * [backup-simplify]: Simplify k into k 4.259 * [taylor]: Taking taylor expansion of (log n) in n 4.259 * [taylor]: Taking taylor expansion of n in n 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (log 1) into 0 4.260 * [backup-simplify]: Simplify (- k) into (- k) 4.260 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.260 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.260 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.260 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.260 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.260 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.260 * [taylor]: Taking taylor expansion of 0.5 in n 4.260 * [backup-simplify]: Simplify 0.5 into 0.5 4.260 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.260 * [taylor]: Taking taylor expansion of 1.0 in n 4.260 * [backup-simplify]: Simplify 1.0 into 1.0 4.260 * [taylor]: Taking taylor expansion of k in n 4.260 * [backup-simplify]: Simplify k into k 4.260 * [taylor]: Taking taylor expansion of (log n) in n 4.260 * [taylor]: Taking taylor expansion of n in n 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (log 1) into 0 4.261 * [backup-simplify]: Simplify (- k) into (- k) 4.261 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.261 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.261 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.261 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.261 * [taylor]: Taking taylor expansion of 0.5 in k 4.261 * [backup-simplify]: Simplify 0.5 into 0.5 4.261 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.261 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.261 * [taylor]: Taking taylor expansion of 1.0 in k 4.261 * [backup-simplify]: Simplify 1.0 into 1.0 4.261 * [taylor]: Taking taylor expansion of k in k 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of (log n) in k 4.261 * [taylor]: Taking taylor expansion of n in k 4.261 * [backup-simplify]: Simplify n into n 4.261 * [backup-simplify]: Simplify (log n) into (log n) 4.262 * [backup-simplify]: Simplify (- 0) into 0 4.262 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.262 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.262 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 4.262 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.262 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 4.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.263 * [backup-simplify]: Simplify (- 0) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.264 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 4.265 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.265 * [taylor]: Taking taylor expansion of 0 in k 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.266 * [backup-simplify]: Simplify (- 1) into -1 4.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.266 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 4.266 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 4.266 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.267 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.268 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.268 * [backup-simplify]: Simplify (- 0) into 0 4.269 * [backup-simplify]: Simplify (+ 0 0) into 0 4.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.270 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 4.270 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.270 * [taylor]: Taking taylor expansion of 0 in k 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.272 * [backup-simplify]: Simplify (- 0) into 0 4.272 * [backup-simplify]: Simplify (+ 0 0) into 0 4.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 4.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 4.273 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.274 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.274 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 4.275 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 4.275 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.275 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.275 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.275 * [taylor]: Taking taylor expansion of 0.5 in k 4.275 * [backup-simplify]: Simplify 0.5 into 0.5 4.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.275 * [taylor]: Taking taylor expansion of 1.0 in k 4.275 * [backup-simplify]: Simplify 1.0 into 1.0 4.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.275 * [taylor]: Taking taylor expansion of k in k 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (/ 1 1) into 1 4.275 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.275 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.275 * [taylor]: Taking taylor expansion of n in k 4.275 * [backup-simplify]: Simplify n into n 4.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.275 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.275 * [backup-simplify]: Simplify (- 1) into -1 4.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.276 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.276 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.276 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.276 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.276 * [taylor]: Taking taylor expansion of 0.5 in n 4.276 * [backup-simplify]: Simplify 0.5 into 0.5 4.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.276 * [taylor]: Taking taylor expansion of 1.0 in n 4.276 * [backup-simplify]: Simplify 1.0 into 1.0 4.276 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.276 * [taylor]: Taking taylor expansion of k in n 4.276 * [backup-simplify]: Simplify k into k 4.276 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.276 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.276 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.276 * [taylor]: Taking taylor expansion of n in n 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (/ 1 1) into 1 4.277 * [backup-simplify]: Simplify (log 1) into 0 4.277 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.277 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.277 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.277 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.278 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.278 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.278 * [taylor]: Taking taylor expansion of 0.5 in n 4.278 * [backup-simplify]: Simplify 0.5 into 0.5 4.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.278 * [taylor]: Taking taylor expansion of 1.0 in n 4.278 * [backup-simplify]: Simplify 1.0 into 1.0 4.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.278 * [taylor]: Taking taylor expansion of k in n 4.278 * [backup-simplify]: Simplify k into k 4.278 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.278 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.278 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.278 * [taylor]: Taking taylor expansion of n in n 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.278 * [backup-simplify]: Simplify (log 1) into 0 4.278 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.278 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.278 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.279 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.279 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.279 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.279 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.279 * [taylor]: Taking taylor expansion of -0.5 in k 4.279 * [backup-simplify]: Simplify -0.5 into -0.5 4.279 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.279 * [taylor]: Taking taylor expansion of (log n) in k 4.279 * [taylor]: Taking taylor expansion of n in k 4.279 * [backup-simplify]: Simplify n into n 4.279 * [backup-simplify]: Simplify (log n) into (log n) 4.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.279 * [taylor]: Taking taylor expansion of 1.0 in k 4.279 * [backup-simplify]: Simplify 1.0 into 1.0 4.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.279 * [taylor]: Taking taylor expansion of k in k 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [backup-simplify]: Simplify (- 1) into -1 4.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.280 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 4.280 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 4.280 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.280 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.282 * [backup-simplify]: Simplify (- 0) into 0 4.282 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.283 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.283 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 4.283 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.283 * [taylor]: Taking taylor expansion of 0 in k 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.286 * [backup-simplify]: Simplify (- 0) into 0 4.286 * [backup-simplify]: Simplify (+ 0 0) into 0 4.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.287 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 4.288 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.288 * [taylor]: Taking taylor expansion of 0 in k 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.291 * [backup-simplify]: Simplify (- 0) into 0 4.291 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.293 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 4.294 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.294 * [taylor]: Taking taylor expansion of 0 in k 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 4.294 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 4.294 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.294 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.294 * [taylor]: Taking taylor expansion of 0.5 in k 4.294 * [backup-simplify]: Simplify 0.5 into 0.5 4.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.295 * [taylor]: Taking taylor expansion of k in k 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (/ 1 1) into 1 4.295 * [taylor]: Taking taylor expansion of 1.0 in k 4.295 * [backup-simplify]: Simplify 1.0 into 1.0 4.295 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.295 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.295 * [taylor]: Taking taylor expansion of -1 in k 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of n in k 4.295 * [backup-simplify]: Simplify n into n 4.295 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.295 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.295 * [backup-simplify]: Simplify (+ 1 0) into 1 4.296 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.296 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.296 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.296 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.296 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.296 * [taylor]: Taking taylor expansion of 0.5 in n 4.296 * [backup-simplify]: Simplify 0.5 into 0.5 4.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.296 * [taylor]: Taking taylor expansion of k in n 4.296 * [backup-simplify]: Simplify k into k 4.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.296 * [taylor]: Taking taylor expansion of 1.0 in n 4.296 * [backup-simplify]: Simplify 1.0 into 1.0 4.296 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.296 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.296 * [taylor]: Taking taylor expansion of -1 in n 4.296 * [backup-simplify]: Simplify -1 into -1 4.296 * [taylor]: Taking taylor expansion of n in n 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (/ -1 1) into -1 4.297 * [backup-simplify]: Simplify (log -1) into (log -1) 4.297 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.297 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.298 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.298 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.298 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.298 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.298 * [taylor]: Taking taylor expansion of 0.5 in n 4.298 * [backup-simplify]: Simplify 0.5 into 0.5 4.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.298 * [taylor]: Taking taylor expansion of k in n 4.298 * [backup-simplify]: Simplify k into k 4.298 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.298 * [taylor]: Taking taylor expansion of 1.0 in n 4.298 * [backup-simplify]: Simplify 1.0 into 1.0 4.298 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.298 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.298 * [taylor]: Taking taylor expansion of -1 in n 4.298 * [backup-simplify]: Simplify -1 into -1 4.299 * [taylor]: Taking taylor expansion of n in n 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (/ -1 1) into -1 4.299 * [backup-simplify]: Simplify (log -1) into (log -1) 4.299 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.299 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.300 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.300 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.300 * [taylor]: Taking taylor expansion of 0.5 in k 4.300 * [backup-simplify]: Simplify 0.5 into 0.5 4.300 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.300 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.301 * [taylor]: Taking taylor expansion of (log -1) in k 4.301 * [taylor]: Taking taylor expansion of -1 in k 4.301 * [backup-simplify]: Simplify -1 into -1 4.301 * [backup-simplify]: Simplify (log -1) into (log -1) 4.301 * [taylor]: Taking taylor expansion of (log n) in k 4.301 * [taylor]: Taking taylor expansion of n in k 4.301 * [backup-simplify]: Simplify n into n 4.301 * [backup-simplify]: Simplify (log n) into (log n) 4.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.301 * [taylor]: Taking taylor expansion of k in k 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [backup-simplify]: Simplify (/ 1 1) into 1 4.301 * [taylor]: Taking taylor expansion of 1.0 in k 4.301 * [backup-simplify]: Simplify 1.0 into 1.0 4.301 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.302 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 4.302 * [backup-simplify]: Simplify (+ 1 0) into 1 4.302 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 4.303 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 4.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.305 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.306 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.306 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 4.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.307 * [taylor]: Taking taylor expansion of 0 in k 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.310 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.311 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 4.312 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.312 * [taylor]: Taking taylor expansion of 0 in k 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.318 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 4.319 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.319 * [taylor]: Taking taylor expansion of 0 in k 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 4.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.320 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 4.320 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 4.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.320 * [taylor]: Taking taylor expansion of 0.5 in k 4.320 * [backup-simplify]: Simplify 0.5 into 0.5 4.320 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.320 * [taylor]: Taking taylor expansion of 1.0 in k 4.320 * [backup-simplify]: Simplify 1.0 into 1.0 4.320 * [taylor]: Taking taylor expansion of k in k 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.320 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.320 * [taylor]: Taking taylor expansion of 2.0 in k 4.320 * [backup-simplify]: Simplify 2.0 into 2.0 4.320 * [taylor]: Taking taylor expansion of PI in k 4.320 * [backup-simplify]: Simplify PI into PI 4.320 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.321 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.321 * [backup-simplify]: Simplify (- 0) into 0 4.322 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.322 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.323 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.324 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.324 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.324 * [taylor]: Taking taylor expansion of 0.5 in k 4.324 * [backup-simplify]: Simplify 0.5 into 0.5 4.324 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.324 * [taylor]: Taking taylor expansion of 1.0 in k 4.325 * [backup-simplify]: Simplify 1.0 into 1.0 4.325 * [taylor]: Taking taylor expansion of k in k 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.325 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.325 * [taylor]: Taking taylor expansion of 2.0 in k 4.325 * [backup-simplify]: Simplify 2.0 into 2.0 4.325 * [taylor]: Taking taylor expansion of PI in k 4.325 * [backup-simplify]: Simplify PI into PI 4.325 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.326 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.326 * [backup-simplify]: Simplify (- 0) into 0 4.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.326 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.327 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.329 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.329 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 4.330 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.331 * [backup-simplify]: Simplify (- 1) into -1 4.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.332 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.334 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.345 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.349 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.349 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.351 * [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 4.351 * [backup-simplify]: Simplify (- 0) into 0 4.352 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.353 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.361 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.365 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.374 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 4.375 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 4.375 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.375 * [taylor]: Taking taylor expansion of 0.5 in k 4.375 * [backup-simplify]: Simplify 0.5 into 0.5 4.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.375 * [taylor]: Taking taylor expansion of 1.0 in k 4.375 * [backup-simplify]: Simplify 1.0 into 1.0 4.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.375 * [taylor]: Taking taylor expansion of k in k 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 1 into 1 4.375 * [backup-simplify]: Simplify (/ 1 1) into 1 4.375 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.375 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.375 * [taylor]: Taking taylor expansion of 2.0 in k 4.375 * [backup-simplify]: Simplify 2.0 into 2.0 4.375 * [taylor]: Taking taylor expansion of PI in k 4.375 * [backup-simplify]: Simplify PI into PI 4.376 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.376 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.376 * [backup-simplify]: Simplify (- 1) into -1 4.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.377 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.378 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.378 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.379 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.379 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.379 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.379 * [taylor]: Taking taylor expansion of 0.5 in k 4.379 * [backup-simplify]: Simplify 0.5 into 0.5 4.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.379 * [taylor]: Taking taylor expansion of 1.0 in k 4.379 * [backup-simplify]: Simplify 1.0 into 1.0 4.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.379 * [taylor]: Taking taylor expansion of k in k 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.379 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.379 * [taylor]: Taking taylor expansion of 2.0 in k 4.379 * [backup-simplify]: Simplify 2.0 into 2.0 4.379 * [taylor]: Taking taylor expansion of PI in k 4.379 * [backup-simplify]: Simplify PI into PI 4.379 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.380 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.380 * [backup-simplify]: Simplify (- 1) into -1 4.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.381 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.382 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.382 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.383 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.384 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 4.384 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.384 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.384 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.384 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.384 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.384 * [taylor]: Taking taylor expansion of 0.5 in k 4.384 * [backup-simplify]: Simplify 0.5 into 0.5 4.384 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.384 * [taylor]: Taking taylor expansion of k in k 4.384 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (/ 1 1) into 1 4.385 * [taylor]: Taking taylor expansion of 1.0 in k 4.385 * [backup-simplify]: Simplify 1.0 into 1.0 4.385 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.385 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.385 * [taylor]: Taking taylor expansion of 2.0 in k 4.385 * [backup-simplify]: Simplify 2.0 into 2.0 4.385 * [taylor]: Taking taylor expansion of PI in k 4.385 * [backup-simplify]: Simplify PI into PI 4.385 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.386 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.386 * [backup-simplify]: Simplify (+ 1 0) into 1 4.386 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.387 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.388 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.388 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.388 * [taylor]: Taking taylor expansion of 0.5 in k 4.388 * [backup-simplify]: Simplify 0.5 into 0.5 4.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.388 * [taylor]: Taking taylor expansion of k in k 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [taylor]: Taking taylor expansion of 1.0 in k 4.389 * [backup-simplify]: Simplify 1.0 into 1.0 4.389 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.389 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.389 * [taylor]: Taking taylor expansion of 2.0 in k 4.389 * [backup-simplify]: Simplify 2.0 into 2.0 4.389 * [taylor]: Taking taylor expansion of PI in k 4.389 * [backup-simplify]: Simplify PI into PI 4.389 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.390 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.390 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.391 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.392 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.393 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.393 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.394 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.394 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.394 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.394 * [taylor]: Taking taylor expansion of 1.0 in k 4.394 * [backup-simplify]: Simplify 1.0 into 1.0 4.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.394 * [taylor]: Taking taylor expansion of k in k 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (/ 1 1) into 1 4.394 * [backup-simplify]: Simplify (sqrt 0) into 0 4.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.395 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.395 * [taylor]: Taking taylor expansion of 1.0 in k 4.395 * [backup-simplify]: Simplify 1.0 into 1.0 4.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.395 * [taylor]: Taking taylor expansion of k in k 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [backup-simplify]: Simplify (/ 1 1) into 1 4.396 * [backup-simplify]: Simplify (sqrt 0) into 0 4.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.397 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.398 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.401 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.401 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.405 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.405 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.406 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.406 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.406 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.406 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.406 * [taylor]: Taking taylor expansion of 1.0 in k 4.406 * [backup-simplify]: Simplify 1.0 into 1.0 4.406 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.406 * [taylor]: Taking taylor expansion of k in k 4.406 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 1 into 1 4.407 * [backup-simplify]: Simplify (sqrt 0) into 0 4.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.407 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.407 * [taylor]: Taking taylor expansion of 1.0 in k 4.408 * [backup-simplify]: Simplify 1.0 into 1.0 4.408 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.408 * [taylor]: Taking taylor expansion of k in k 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [backup-simplify]: Simplify (sqrt 0) into 0 4.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.409 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.410 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.411 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.412 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.413 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.416 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.416 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.417 * [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)))))))) 4.417 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.417 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.417 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.417 * [taylor]: Taking taylor expansion of 1.0 in k 4.417 * [backup-simplify]: Simplify 1.0 into 1.0 4.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.417 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.417 * [taylor]: Taking taylor expansion of -1 in k 4.417 * [backup-simplify]: Simplify -1 into -1 4.417 * [taylor]: Taking taylor expansion of k in k 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.418 * [backup-simplify]: Simplify (/ -1 1) into -1 4.418 * [backup-simplify]: Simplify (sqrt 0) into 0 4.419 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.419 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.419 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.419 * [taylor]: Taking taylor expansion of 1.0 in k 4.419 * [backup-simplify]: Simplify 1.0 into 1.0 4.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.419 * [taylor]: Taking taylor expansion of -1 in k 4.419 * [backup-simplify]: Simplify -1 into -1 4.419 * [taylor]: Taking taylor expansion of k in k 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (/ -1 1) into -1 4.419 * [backup-simplify]: Simplify (sqrt 0) into 0 4.420 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.420 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.420 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.424 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.424 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.433 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.433 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.434 * [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))))) 4.434 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.435 * [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))))) 4.435 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 4.435 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 4.435 * [taylor]: Taking taylor expansion of 1.0 in k 4.435 * [backup-simplify]: Simplify 1.0 into 1.0 4.435 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 4.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.435 * [taylor]: Taking taylor expansion of k in k 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 1 into 1 4.435 * [backup-simplify]: Simplify (/ 1 1) into 1 4.435 * [backup-simplify]: Simplify (sqrt 0) into 0 4.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.436 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.436 * [taylor]: Taking taylor expansion of 0.5 in k 4.436 * [backup-simplify]: Simplify 0.5 into 0.5 4.436 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.436 * [taylor]: Taking taylor expansion of 1.0 in k 4.436 * [backup-simplify]: Simplify 1.0 into 1.0 4.436 * [taylor]: Taking taylor expansion of k in k 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.436 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.436 * [taylor]: Taking taylor expansion of 2.0 in k 4.436 * [backup-simplify]: Simplify 2.0 into 2.0 4.436 * [taylor]: Taking taylor expansion of PI in k 4.436 * [backup-simplify]: Simplify PI into PI 4.437 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.437 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.437 * [backup-simplify]: Simplify (- 0) into 0 4.438 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.438 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.439 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.440 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.440 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 4.440 * [taylor]: Taking taylor expansion of 1.0 in k 4.440 * [backup-simplify]: Simplify 1.0 into 1.0 4.440 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 4.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.440 * [taylor]: Taking taylor expansion of k in k 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (/ 1 1) into 1 4.441 * [backup-simplify]: Simplify (sqrt 0) into 0 4.442 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.442 * [taylor]: Taking taylor expansion of 0.5 in k 4.442 * [backup-simplify]: Simplify 0.5 into 0.5 4.442 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.442 * [taylor]: Taking taylor expansion of 1.0 in k 4.442 * [backup-simplify]: Simplify 1.0 into 1.0 4.442 * [taylor]: Taking taylor expansion of k in k 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify 1 into 1 4.442 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.442 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.442 * [taylor]: Taking taylor expansion of 2.0 in k 4.442 * [backup-simplify]: Simplify 2.0 into 2.0 4.442 * [taylor]: Taking taylor expansion of PI in k 4.442 * [backup-simplify]: Simplify PI into PI 4.442 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.443 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.443 * [backup-simplify]: Simplify (- 0) into 0 4.443 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.444 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.445 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.446 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.447 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 4.447 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.448 * [backup-simplify]: Simplify (- 1) into -1 4.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.450 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.459 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.462 * [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))) 4.467 * [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))) 4.470 * [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))) 4.471 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.473 * [backup-simplify]: Simplify (- 0) into 0 4.473 * [backup-simplify]: Simplify (+ 0 0) into 0 4.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.482 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.495 * [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))))) 4.510 * [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))))) 4.523 * [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))))) 4.524 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.527 * [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 4.527 * [backup-simplify]: Simplify (- 0) into 0 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 4.539 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.561 * [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))))))) 4.587 * [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)))))))) 4.609 * [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)))))))) 4.640 * [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))))))))))))) 4.641 * [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)))))) 4.641 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 4.641 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.641 * [taylor]: Taking taylor expansion of 1.0 in k 4.641 * [backup-simplify]: Simplify 1.0 into 1.0 4.641 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.641 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.641 * [taylor]: Taking taylor expansion of k in k 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (sqrt 0) into 0 4.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.642 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.642 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.642 * [taylor]: Taking taylor expansion of 0.5 in k 4.642 * [backup-simplify]: Simplify 0.5 into 0.5 4.642 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.642 * [taylor]: Taking taylor expansion of 1.0 in k 4.642 * [backup-simplify]: Simplify 1.0 into 1.0 4.642 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.642 * [taylor]: Taking taylor expansion of k in k 4.642 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [backup-simplify]: Simplify (/ 1 1) into 1 4.643 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.643 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.643 * [taylor]: Taking taylor expansion of 2.0 in k 4.643 * [backup-simplify]: Simplify 2.0 into 2.0 4.643 * [taylor]: Taking taylor expansion of PI in k 4.643 * [backup-simplify]: Simplify PI into PI 4.643 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.644 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.644 * [backup-simplify]: Simplify (- 1) into -1 4.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.644 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.645 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.646 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.646 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.646 * [taylor]: Taking taylor expansion of 1.0 in k 4.646 * [backup-simplify]: Simplify 1.0 into 1.0 4.646 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.646 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.646 * [taylor]: Taking taylor expansion of k in k 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (sqrt 0) into 0 4.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.647 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.647 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.647 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.647 * [taylor]: Taking taylor expansion of 0.5 in k 4.647 * [backup-simplify]: Simplify 0.5 into 0.5 4.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.647 * [taylor]: Taking taylor expansion of 1.0 in k 4.647 * [backup-simplify]: Simplify 1.0 into 1.0 4.647 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.647 * [taylor]: Taking taylor expansion of k in k 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (/ 1 1) into 1 4.648 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.648 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.648 * [taylor]: Taking taylor expansion of 2.0 in k 4.648 * [backup-simplify]: Simplify 2.0 into 2.0 4.648 * [taylor]: Taking taylor expansion of PI in k 4.648 * [backup-simplify]: Simplify PI into PI 4.648 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.649 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.649 * [backup-simplify]: Simplify (- 1) into -1 4.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.649 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.650 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.651 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.652 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 4.652 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.653 * [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))))))) 4.654 * [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))))))) 4.655 * [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))))))) 4.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.657 * [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))))))) 4.659 * [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))))))) 4.660 * [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))))))) 4.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.663 * [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))))))) 4.665 * [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))))))) 4.666 * [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))))))) 4.669 * [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)))))))) 4.669 * [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)))) 4.669 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 4.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.669 * [taylor]: Taking taylor expansion of 1.0 in k 4.669 * [backup-simplify]: Simplify 1.0 into 1.0 4.669 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.669 * [taylor]: Taking taylor expansion of 0.5 in k 4.669 * [backup-simplify]: Simplify 0.5 into 0.5 4.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.669 * [taylor]: Taking taylor expansion of k in k 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify (/ 1 1) into 1 4.670 * [taylor]: Taking taylor expansion of 1.0 in k 4.670 * [backup-simplify]: Simplify 1.0 into 1.0 4.670 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.670 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.670 * [taylor]: Taking taylor expansion of 2.0 in k 4.670 * [backup-simplify]: Simplify 2.0 into 2.0 4.670 * [taylor]: Taking taylor expansion of PI in k 4.670 * [backup-simplify]: Simplify PI into PI 4.670 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.671 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.671 * [backup-simplify]: Simplify (+ 1 0) into 1 4.671 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.672 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.673 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.673 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.673 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.673 * [taylor]: Taking taylor expansion of -1 in k 4.673 * [backup-simplify]: Simplify -1 into -1 4.673 * [taylor]: Taking taylor expansion of k in k 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (/ -1 1) into -1 4.673 * [backup-simplify]: Simplify (sqrt 0) into 0 4.674 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.681 * [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))))) 4.681 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.681 * [taylor]: Taking taylor expansion of 1.0 in k 4.681 * [backup-simplify]: Simplify 1.0 into 1.0 4.681 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.681 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.681 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.681 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.681 * [taylor]: Taking taylor expansion of 0.5 in k 4.681 * [backup-simplify]: Simplify 0.5 into 0.5 4.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.681 * [taylor]: Taking taylor expansion of k in k 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [taylor]: Taking taylor expansion of 1.0 in k 4.681 * [backup-simplify]: Simplify 1.0 into 1.0 4.681 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.681 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.681 * [taylor]: Taking taylor expansion of 2.0 in k 4.682 * [backup-simplify]: Simplify 2.0 into 2.0 4.682 * [taylor]: Taking taylor expansion of PI in k 4.682 * [backup-simplify]: Simplify PI into PI 4.682 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.682 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.683 * [backup-simplify]: Simplify (+ 1 0) into 1 4.683 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.684 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.685 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.685 * [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 4.685 * [backup-simplify]: Simplify (sqrt 0) into 0 4.686 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.687 * [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))))) 4.687 * [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))))) 4.688 * [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))))) 4.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.691 * [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)))))) 4.693 * [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)))))) 4.693 * [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)))))) 4.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.698 * [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)))))) 4.700 * [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)))))) 4.701 * [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)))))) 4.703 * [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))))))))))) 4.703 * * * [progress]: simplifying candidates 4.706 * [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))) (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) (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))) (- (+ (* 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 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (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))))))))))) 4.707 * [simplify]: Sending expressions to egg_math: (expm1 (pow h0 (/ (- h1 h2) h3))) (log1p (pow h0 (/ (- h1 h2) h3))) (* (log h0) (/ (- h1 h2) h3)) (* (log h0) (/ (- h1 h2) h3)) (* 1 (/ (- h1 h2) h3)) (pow h0 (/ h1 h3)) (pow h0 (/ h2 h3)) (pow h0 (* (cbrt (/ (- h1 h2) h3)) (cbrt (/ (- h1 h2) h3)))) (pow h0 (sqrt (/ (- h1 h2) h3))) (pow h0 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt h3) (cbrt h3)))) (pow h0 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt h3))) (pow h0 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 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h4) (/ (+ (sqrt h1) (sqrt h2)) (sqrt h3))) (pow (* h3 h4) (/ (+ (sqrt h1) (sqrt h2)) 1)) (pow (* h3 h4) (/ 1 (* (cbrt h3) (cbrt h3)))) (pow (* h3 h4) (/ 1 (sqrt h3))) (pow (* h3 h4) (/ 1 1)) (pow (* h3 h4) 1) (pow (* h3 h4) (- h1 h2)) (pow h3 (/ (- h1 h2) h3)) (pow h4 (/ (- h1 h2) h3)) (log (pow (* h3 h4) (/ (- h1 h2) h3))) (exp (pow (* h3 h4) (/ (- h1 h2) h3))) (* (cbrt (pow (* h3 h4) (/ (- h1 h2) h3))) (cbrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (cbrt (pow (* h3 h4) (/ (- h1 h2) h3))) (* (* (pow (* h3 h4) (/ (- h1 h2) h3)) (pow (* h3 h4) (/ (- h1 h2) h3))) (pow (* h3 h4) (/ (- h1 h2) h3))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2)) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2)) (expm1 (/ h1 (sqrt h2))) (log1p (/ h1 (sqrt h2))) (- (log h1) (log (sqrt h2))) (log (/ h1 (sqrt h2))) (exp (/ h1 (sqrt h2))) (/ (* (* h1 h1) h1) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (cbrt (/ h1 (sqrt h2))) (cbrt (/ h1 (sqrt h2)))) (cbrt (/ 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h2) h3))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (cbrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt (cbrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ 1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ h1 h3))) (* h1 (pow (* h3 h4) (/ (- h1 h2) h3))) (- (+ (* h5 (* (* (pow h2 2) (pow (log h0) 2)) (pow (pow h0 h1) h6))) (pow h0 h6)) (* h6 (* (* h2 (log h0)) (pow (pow h0 h1) h6)))) (exp (* h7 (* (- h1 h2) (log (/ 1 h0))))) (exp (* h6 (* (- h1 h2) (- (log -1) (log (/ -1 h0)))))) (- (+ (* h5 (* (* (pow h2 2) (pow (log (* h3 h4)) 2)) (pow (* (pow h3 h1) (pow h4 h1)) h6))) (pow (* h3 h4) h6)) (* h6 (* (* h2 (log (* h3 h4))) (pow (* (pow h3 h1) (pow h4 h1)) h6)))) (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (- (+ (* h8 h2) (- (+ (* h8 (pow h2 2)) (- h8))))) (- (+ (* h8 (/ 1 (pow h2 2))) (- (+ (* h8 (/ 1 h2)) (- (* h8 (/ 1 (pow h2 3)))))))) (- (+ (* h8 (/ 1 (pow h2 2))) (- (+ (* h8 (/ 1 h2)) (- h8))))) (- (+ (* h8 (* (pow h2 2) (pow (* (pow h3 h1) (pow h4 h1)) h6))) (- (+ (* h8 (* (* (pow h2 2) (log (* h3 h4))) (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (+ (* h8 (* h2 (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (+ (* h8 (* (* h2 (log (* h3 h4))) (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (+ (* h8 (* (* (pow h2 2) (pow (log (* h3 h4)) 2)) (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (* h8 (pow (* (pow h4 h1) (pow h3 h1)) h6))))))))))))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (pow h2 2))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) h2)) (- (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (pow h2 3)))))))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (pow h2 2))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) h2)) (- (* h8 (exp (* h6 (* (- h1 h2) (log (* h3 h4))))))))))) 4.715 * * [simplify]: iteration 0 : 844 enodes (cost 1367 ) 4.729 * * [simplify]: iteration 1 : 3255 enodes (cost 1284 ) 4.778 * * [simplify]: iteration 2 : 5002 enodes (cost 1267 ) 4.784 * * * [progress]: adding candidates to table 5.305 * [progress]: [Phase 3 of 3] Extracting. 5.305 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.307 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.307 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.342 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 5.369 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.403 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.437 * * * [regime]: Found split indices: #