11.259 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.094 * * * [progress]: [2/2] Setting up program. 0.097 * [progress]: [Phase 2 of 3] Improving. 0.097 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.097 * [simplify]: Sending expressions to egg_math: (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) 0.099 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.100 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.102 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.105 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.111 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.134 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.137 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.180 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.197 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.244 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 0.245 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.245 * [taylor]: Taking taylor expansion of 0.5 in k 0.245 * [backup-simplify]: Simplify 0.5 into 0.5 0.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.245 * [taylor]: Taking taylor expansion of 1.0 in k 0.245 * [backup-simplify]: Simplify 1.0 into 1.0 0.245 * [taylor]: Taking taylor expansion of k in k 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.245 * [taylor]: Taking taylor expansion of 2.0 in k 0.245 * [backup-simplify]: Simplify 2.0 into 2.0 0.245 * [taylor]: Taking taylor expansion of (* n PI) in k 0.245 * [taylor]: Taking taylor expansion of n in k 0.245 * [backup-simplify]: Simplify n into n 0.245 * [taylor]: Taking taylor expansion of PI in k 0.245 * [backup-simplify]: Simplify PI into PI 0.245 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.245 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.245 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.246 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.246 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.246 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.246 * [taylor]: Taking taylor expansion of 0.5 in n 0.246 * [backup-simplify]: Simplify 0.5 into 0.5 0.246 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.246 * [taylor]: Taking taylor expansion of 1.0 in n 0.246 * [backup-simplify]: Simplify 1.0 into 1.0 0.246 * [taylor]: Taking taylor expansion of k in n 0.246 * [backup-simplify]: Simplify k into k 0.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.246 * [taylor]: Taking taylor expansion of 2.0 in n 0.246 * [backup-simplify]: Simplify 2.0 into 2.0 0.246 * [taylor]: Taking taylor expansion of (* n PI) in n 0.246 * [taylor]: Taking taylor expansion of n in n 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of PI in n 0.246 * [backup-simplify]: Simplify PI into PI 0.247 * [backup-simplify]: Simplify (* 0 PI) into 0 0.247 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.248 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.249 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.249 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.249 * [backup-simplify]: Simplify (- k) into (- k) 0.249 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.249 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.250 * [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)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 0.252 * [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))))) 0.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.252 * [taylor]: Taking taylor expansion of 0.5 in n 0.252 * [backup-simplify]: Simplify 0.5 into 0.5 0.252 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [taylor]: Taking taylor expansion of k in n 0.252 * [backup-simplify]: Simplify k into k 0.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.252 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.252 * [taylor]: Taking taylor expansion of 2.0 in n 0.252 * [backup-simplify]: Simplify 2.0 into 2.0 0.252 * [taylor]: Taking taylor expansion of (* n PI) in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of PI in n 0.252 * [backup-simplify]: Simplify PI into PI 0.252 * [backup-simplify]: Simplify (* 0 PI) into 0 0.252 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.254 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.255 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.255 * [backup-simplify]: Simplify (- k) into (- k) 0.255 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.255 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.256 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.256 * [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)))) 0.257 * [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))))) 0.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.257 * [taylor]: Taking taylor expansion of 0.5 in k 0.257 * [backup-simplify]: Simplify 0.5 into 0.5 0.257 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.257 * [taylor]: Taking taylor expansion of 1.0 in k 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [taylor]: Taking taylor expansion of k in k 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.257 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.257 * [taylor]: Taking taylor expansion of 2.0 in k 0.257 * [backup-simplify]: Simplify 2.0 into 2.0 0.257 * [taylor]: Taking taylor expansion of PI in k 0.258 * [backup-simplify]: Simplify PI into PI 0.258 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.258 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.258 * [taylor]: Taking taylor expansion of (log n) in k 0.258 * [taylor]: Taking taylor expansion of n in k 0.258 * [backup-simplify]: Simplify n into n 0.258 * [backup-simplify]: Simplify (log n) into (log n) 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.260 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 0.260 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 0.261 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 0.261 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.262 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 0.266 * [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 (+ (log (* 2.0 PI)) (log n)))) into 0 0.268 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.268 * [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 (+ (* 2.0 0) (* 0 PI)) into 0 0.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.271 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 0.273 * [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)))) 0.274 * [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)))))) 0.276 * [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)))))) 0.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.279 * [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 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.282 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.283 * [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 0.283 * [taylor]: Taking taylor expansion of 0 in k 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.286 * [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 0.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 0.292 * [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)))))) 0.295 * [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)))))) 0.301 * [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)))))) 0.302 * [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)))) 0.302 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.302 * [taylor]: Taking taylor expansion of 0.5 in k 0.302 * [backup-simplify]: Simplify 0.5 into 0.5 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.302 * [taylor]: Taking taylor expansion of 1.0 in k 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.302 * [taylor]: Taking taylor expansion of k in k 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.302 * [taylor]: Taking taylor expansion of 2.0 in k 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.302 * [taylor]: Taking taylor expansion of PI in k 0.302 * [backup-simplify]: Simplify PI into PI 0.302 * [taylor]: Taking taylor expansion of n in k 0.302 * [backup-simplify]: Simplify n into n 0.302 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.302 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.302 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.303 * [backup-simplify]: Simplify (- 1) into -1 0.303 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.303 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.303 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.303 * [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))))) 0.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.304 * [taylor]: Taking taylor expansion of 0.5 in n 0.304 * [backup-simplify]: Simplify 0.5 into 0.5 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.304 * [taylor]: Taking taylor expansion of 1.0 in n 0.304 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.304 * [taylor]: Taking taylor expansion of k in n 0.304 * [backup-simplify]: Simplify k into k 0.304 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.304 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.304 * [taylor]: Taking taylor expansion of 2.0 in n 0.304 * [backup-simplify]: Simplify 2.0 into 2.0 0.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.304 * [taylor]: Taking taylor expansion of PI in n 0.304 * [backup-simplify]: Simplify PI into PI 0.304 * [taylor]: Taking taylor expansion of n in n 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ PI 1) into PI 0.305 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.305 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.305 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.305 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.305 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.306 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.307 * [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)))) 0.308 * [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))))) 0.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.308 * [taylor]: Taking taylor expansion of 0.5 in n 0.308 * [backup-simplify]: Simplify 0.5 into 0.5 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [backup-simplify]: Simplify k into k 0.308 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.308 * [taylor]: Taking taylor expansion of 2.0 in n 0.308 * [backup-simplify]: Simplify 2.0 into 2.0 0.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.308 * [backup-simplify]: Simplify PI into PI 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ PI 1) into PI 0.309 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.309 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.309 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.309 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.309 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.310 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.311 * [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)))) 0.311 * [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))))) 0.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.312 * [taylor]: Taking taylor expansion of 0.5 in k 0.312 * [backup-simplify]: Simplify 0.5 into 0.5 0.312 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.312 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.312 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.312 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.312 * [taylor]: Taking taylor expansion of 2.0 in k 0.312 * [backup-simplify]: Simplify 2.0 into 2.0 0.312 * [taylor]: Taking taylor expansion of PI in k 0.312 * [backup-simplify]: Simplify PI into PI 0.312 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.313 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.313 * [taylor]: Taking taylor expansion of (log n) in k 0.313 * [taylor]: Taking taylor expansion of n in k 0.313 * [backup-simplify]: Simplify n into n 0.313 * [backup-simplify]: Simplify (log n) into (log n) 0.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.313 * [taylor]: Taking taylor expansion of 1.0 in k 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.313 * [taylor]: Taking taylor expansion of k in k 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.314 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 0.314 * [backup-simplify]: Simplify (- 1) into -1 0.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.315 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 0.315 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 0.316 * [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))))) 0.317 * [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))))) 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.325 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 0.326 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in k 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.329 * [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 0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.332 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of 0 in k 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.337 * [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 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 0.340 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.341 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 0.342 * [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 0.342 * [taylor]: Taking taylor expansion of 0 in k 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [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)))) 0.344 * [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))) 0.344 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.344 * [taylor]: Taking taylor expansion of 0.5 in k 0.344 * [backup-simplify]: Simplify 0.5 into 0.5 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.344 * [taylor]: Taking taylor expansion of -2.0 in k 0.344 * [backup-simplify]: Simplify -2.0 into -2.0 0.344 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.344 * [taylor]: Taking taylor expansion of PI in k 0.344 * [backup-simplify]: Simplify PI into PI 0.344 * [taylor]: Taking taylor expansion of n in k 0.344 * [backup-simplify]: Simplify n into n 0.344 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.344 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.344 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.345 * [backup-simplify]: Simplify (+ 1 0) into 1 0.345 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.345 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.345 * [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)))))) 0.345 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.345 * [taylor]: Taking taylor expansion of 0.5 in n 0.345 * [backup-simplify]: Simplify 0.5 into 0.5 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.345 * [taylor]: Taking taylor expansion of k in n 0.345 * [backup-simplify]: Simplify k into k 0.345 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [backup-simplify]: Simplify 1.0 into 1.0 0.345 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.345 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.345 * [taylor]: Taking taylor expansion of -2.0 in n 0.345 * [backup-simplify]: Simplify -2.0 into -2.0 0.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.345 * [backup-simplify]: Simplify PI into PI 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ PI 1) into PI 0.346 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.347 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.347 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.347 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.348 * [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)))) 0.349 * [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))))) 0.349 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.349 * [taylor]: Taking taylor expansion of 0.5 in n 0.349 * [backup-simplify]: Simplify 0.5 into 0.5 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.349 * [taylor]: Taking taylor expansion of k in n 0.349 * [backup-simplify]: Simplify k into k 0.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.349 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.349 * [taylor]: Taking taylor expansion of -2.0 in n 0.349 * [backup-simplify]: Simplify -2.0 into -2.0 0.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.349 * [backup-simplify]: Simplify PI into PI 0.349 * [taylor]: Taking taylor expansion of n in n 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ PI 1) into PI 0.350 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.351 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.351 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.351 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.352 * [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)))) 0.353 * [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))))) 0.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.353 * [taylor]: Taking taylor expansion of 0.5 in k 0.353 * [backup-simplify]: Simplify 0.5 into 0.5 0.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.353 * [taylor]: Taking taylor expansion of k in k 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.353 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.353 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.353 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.353 * [taylor]: Taking taylor expansion of -2.0 in k 0.354 * [backup-simplify]: Simplify -2.0 into -2.0 0.354 * [taylor]: Taking taylor expansion of PI in k 0.354 * [backup-simplify]: Simplify PI into PI 0.354 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.354 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.354 * [taylor]: Taking taylor expansion of (log n) in k 0.354 * [taylor]: Taking taylor expansion of n in k 0.354 * [backup-simplify]: Simplify n into n 0.355 * [backup-simplify]: Simplify (log n) into (log n) 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.355 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 0.356 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 0.357 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 0.357 * [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))))) 0.358 * [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))))) 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 0.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.362 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.363 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.366 * [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 0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.369 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.375 * [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 0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.378 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of 0 in k 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [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)))))) 0.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.381 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 0.381 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [backup-simplify]: Simplify 1.0 into 1.0 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [backup-simplify]: Simplify (sqrt 0) into 0 0.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [backup-simplify]: Simplify 1.0 into 1.0 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (sqrt 0) into 0 0.383 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.384 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.388 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.388 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.392 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.392 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.393 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 0.393 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 0.393 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.393 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.393 * [taylor]: Taking taylor expansion of 1.0 in k 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.393 * [taylor]: Taking taylor expansion of k in k 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (sqrt 0) into 0 0.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.394 * [taylor]: Taking taylor expansion of 1.0 in k 0.394 * [backup-simplify]: Simplify 1.0 into 1.0 0.394 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.394 * [taylor]: Taking taylor expansion of k in k 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (sqrt 0) into 0 0.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.395 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.397 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.398 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.399 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.399 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.403 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.403 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.404 * [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)))))))) 0.404 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 0.404 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.404 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.404 * [taylor]: Taking taylor expansion of 1.0 in k 0.404 * [backup-simplify]: Simplify 1.0 into 1.0 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.404 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.404 * [taylor]: Taking taylor expansion of -1 in k 0.404 * [backup-simplify]: Simplify -1 into -1 0.404 * [taylor]: Taking taylor expansion of k in k 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ -1 1) into -1 0.405 * [backup-simplify]: Simplify (sqrt 0) into 0 0.405 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.406 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.406 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.406 * [taylor]: Taking taylor expansion of 1.0 in k 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.406 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.406 * [taylor]: Taking taylor expansion of -1 in k 0.406 * [backup-simplify]: Simplify -1 into -1 0.406 * [taylor]: Taking taylor expansion of k in k 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ -1 1) into -1 0.406 * [backup-simplify]: Simplify (sqrt 0) into 0 0.407 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.407 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.411 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.411 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.420 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.420 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.421 * [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))))) 0.421 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.421 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.421 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.421 * [taylor]: Taking taylor expansion of 2.0 in n 0.421 * [backup-simplify]: Simplify 2.0 into 2.0 0.421 * [taylor]: Taking taylor expansion of (* n PI) in n 0.421 * [taylor]: Taking taylor expansion of n in n 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of PI in n 0.421 * [backup-simplify]: Simplify PI into PI 0.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.421 * [taylor]: Taking taylor expansion of 2.0 in n 0.421 * [backup-simplify]: Simplify 2.0 into 2.0 0.421 * [taylor]: Taking taylor expansion of (* n PI) in n 0.421 * [taylor]: Taking taylor expansion of n in n 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of PI in n 0.421 * [backup-simplify]: Simplify PI into PI 0.422 * [backup-simplify]: Simplify (* 0 PI) into 0 0.422 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.424 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.424 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.434 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 0.434 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.434 * [taylor]: Taking taylor expansion of 2.0 in n 0.434 * [backup-simplify]: Simplify 2.0 into 2.0 0.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.434 * [taylor]: Taking taylor expansion of PI in n 0.434 * [backup-simplify]: Simplify PI into PI 0.434 * [taylor]: Taking taylor expansion of n in n 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ PI 1) into PI 0.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.434 * [taylor]: Taking taylor expansion of 2.0 in n 0.434 * [backup-simplify]: Simplify 2.0 into 2.0 0.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.434 * [taylor]: Taking taylor expansion of PI in n 0.434 * [backup-simplify]: Simplify PI into PI 0.434 * [taylor]: Taking taylor expansion of n in n 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ PI 1) into PI 0.435 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.435 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [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 0.443 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 0.444 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 0.444 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.444 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.444 * [taylor]: Taking taylor expansion of -2.0 in n 0.444 * [backup-simplify]: Simplify -2.0 into -2.0 0.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.444 * [taylor]: Taking taylor expansion of PI in n 0.444 * [backup-simplify]: Simplify PI into PI 0.444 * [taylor]: Taking taylor expansion of n in n 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ PI 1) into PI 0.444 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.444 * [taylor]: Taking taylor expansion of -2.0 in n 0.444 * [backup-simplify]: Simplify -2.0 into -2.0 0.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.444 * [taylor]: Taking taylor expansion of PI in n 0.444 * [backup-simplify]: Simplify PI into PI 0.444 * [taylor]: Taking taylor expansion of n in n 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ PI 1) into PI 0.445 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.445 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [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 0.453 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 0.453 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.454 * [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))))) 0.454 * [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 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [backup-simplify]: Simplify 1.0 into 1.0 0.454 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.454 * [taylor]: Taking taylor expansion of k in n 0.454 * [backup-simplify]: Simplify k into k 0.454 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.454 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.454 * [taylor]: Taking taylor expansion of 0.5 in n 0.454 * [backup-simplify]: Simplify 0.5 into 0.5 0.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [backup-simplify]: Simplify 1.0 into 1.0 0.454 * [taylor]: Taking taylor expansion of k in n 0.454 * [backup-simplify]: Simplify k into k 0.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.454 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.454 * [taylor]: Taking taylor expansion of 2.0 in n 0.454 * [backup-simplify]: Simplify 2.0 into 2.0 0.454 * [taylor]: Taking taylor expansion of (* n PI) in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [taylor]: Taking taylor expansion of PI in n 0.454 * [backup-simplify]: Simplify PI into PI 0.455 * [backup-simplify]: Simplify (* 0 PI) into 0 0.455 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.457 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.457 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.457 * [backup-simplify]: Simplify (- k) into (- k) 0.457 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.457 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.458 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.459 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 0.459 * [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))))) 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.459 * [taylor]: Taking taylor expansion of 1.0 in k 0.459 * [backup-simplify]: Simplify 1.0 into 1.0 0.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.460 * [taylor]: Taking taylor expansion of k in k 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (sqrt 0) into 0 0.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.461 * [taylor]: Taking taylor expansion of 0.5 in k 0.461 * [backup-simplify]: Simplify 0.5 into 0.5 0.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.461 * [taylor]: Taking taylor expansion of 1.0 in k 0.461 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of k in k 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.461 * [taylor]: Taking taylor expansion of 2.0 in k 0.461 * [backup-simplify]: Simplify 2.0 into 2.0 0.461 * [taylor]: Taking taylor expansion of (* n PI) in k 0.461 * [taylor]: Taking taylor expansion of n in k 0.461 * [backup-simplify]: Simplify n into n 0.461 * [taylor]: Taking taylor expansion of PI in k 0.461 * [backup-simplify]: Simplify PI into PI 0.461 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.461 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.461 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.462 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.462 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.462 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.462 * [taylor]: Taking taylor expansion of 1.0 in k 0.462 * [backup-simplify]: Simplify 1.0 into 1.0 0.462 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.462 * [taylor]: Taking taylor expansion of k in k 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (sqrt 0) into 0 0.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.464 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.464 * [taylor]: Taking taylor expansion of 0.5 in k 0.464 * [backup-simplify]: Simplify 0.5 into 0.5 0.464 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.464 * [taylor]: Taking taylor expansion of 1.0 in k 0.464 * [backup-simplify]: Simplify 1.0 into 1.0 0.464 * [taylor]: Taking taylor expansion of k in k 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.464 * [taylor]: Taking taylor expansion of 2.0 in k 0.464 * [backup-simplify]: Simplify 2.0 into 2.0 0.464 * [taylor]: Taking taylor expansion of (* n PI) in k 0.464 * [taylor]: Taking taylor expansion of n in k 0.464 * [backup-simplify]: Simplify n into n 0.464 * [taylor]: Taking taylor expansion of PI in k 0.464 * [backup-simplify]: Simplify PI into PI 0.464 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.464 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.464 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.465 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.465 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.465 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.465 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 0.465 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.465 * [taylor]: Taking taylor expansion of 0 in n 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.466 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 0.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 0.467 * [backup-simplify]: Simplify (- 1) into -1 0.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.468 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 0.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 0.469 * [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))) 0.470 * [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))) 0.471 * [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))) 0.471 * [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 0.471 * [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 0.471 * [taylor]: Taking taylor expansion of +nan.0 in n 0.471 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.471 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.471 * [taylor]: Taking taylor expansion of 0.5 in n 0.471 * [backup-simplify]: Simplify 0.5 into 0.5 0.471 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.471 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.471 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [backup-simplify]: Simplify 1.0 into 1.0 0.471 * [taylor]: Taking taylor expansion of (log PI) in n 0.471 * [taylor]: Taking taylor expansion of PI in n 0.471 * [backup-simplify]: Simplify PI into PI 0.471 * [backup-simplify]: Simplify (log PI) into (log PI) 0.472 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.473 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.473 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.473 * [taylor]: Taking taylor expansion of 1.0 in n 0.473 * [backup-simplify]: Simplify 1.0 into 1.0 0.473 * [taylor]: Taking taylor expansion of (log n) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (log 1) into 0 0.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.474 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.474 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) 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 2.0) in n 0.474 * [taylor]: Taking taylor expansion of 2.0 in n 0.474 * [backup-simplify]: Simplify 2.0 into 2.0 0.474 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.475 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.476 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.476 * [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) 0.477 * [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) 0.478 * [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)) 0.478 * [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))) 0.479 * [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) 0.480 * [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)) 0.481 * [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))) 0.482 * [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))) 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.484 * [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 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 0.486 * [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))) 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.491 * [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)))))))) 0.494 * [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)))))))) 0.494 * [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 0.494 * [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 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of +nan.0 in n 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [backup-simplify]: Simplify 0.5 into 0.5 0.494 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.494 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [backup-simplify]: Simplify 1.0 into 1.0 0.494 * [taylor]: Taking taylor expansion of (log PI) in n 0.494 * [taylor]: Taking taylor expansion of PI in n 0.494 * [backup-simplify]: Simplify PI into PI 0.494 * [backup-simplify]: Simplify (log PI) into (log PI) 0.495 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.496 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.496 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.496 * [taylor]: Taking taylor expansion of 1.0 in n 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [taylor]: Taking taylor expansion of (log n) in n 0.496 * [taylor]: Taking taylor expansion of n in n 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (log 1) into 0 0.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.497 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.497 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.497 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.497 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.497 * [taylor]: Taking taylor expansion of 1.0 in n 0.497 * [backup-simplify]: Simplify 1.0 into 1.0 0.497 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.497 * [taylor]: Taking taylor expansion of 2.0 in n 0.497 * [backup-simplify]: Simplify 2.0 into 2.0 0.497 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.498 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.498 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.499 * [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) 0.499 * [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) 0.500 * [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)) 0.501 * [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))) 0.502 * [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) 0.502 * [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 0.502 * [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 0.502 * [taylor]: Taking taylor expansion of +nan.0 in n 0.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.502 * [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 0.502 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.502 * [taylor]: Taking taylor expansion of 0.5 in n 0.502 * [backup-simplify]: Simplify 0.5 into 0.5 0.502 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.502 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.502 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.502 * [taylor]: Taking taylor expansion of 2.0 in n 0.502 * [backup-simplify]: Simplify 2.0 into 2.0 0.502 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.503 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.504 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.504 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [backup-simplify]: Simplify 1.0 into 1.0 0.504 * [taylor]: Taking taylor expansion of (log PI) in n 0.504 * [taylor]: Taking taylor expansion of PI in n 0.504 * [backup-simplify]: Simplify PI into PI 0.504 * [backup-simplify]: Simplify (log PI) into (log PI) 0.505 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.506 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [backup-simplify]: Simplify 1.0 into 1.0 0.506 * [taylor]: Taking taylor expansion of (log n) in n 0.506 * [taylor]: Taking taylor expansion of n in n 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (log 1) into 0 0.507 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.507 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.507 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.507 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.508 * [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) 0.512 * [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)) 0.513 * [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))) 0.514 * [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) 0.514 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.514 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [backup-simplify]: Simplify 2.0 into 2.0 0.514 * [taylor]: Taking taylor expansion of (* n PI) in n 0.514 * [taylor]: Taking taylor expansion of n in n 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of PI in n 0.514 * [backup-simplify]: Simplify PI into PI 0.514 * [backup-simplify]: Simplify (* 0 PI) into 0 0.514 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.516 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.517 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.517 * [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)) 0.518 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.520 * [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)) 0.521 * [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))) 0.523 * [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)))))) 0.526 * [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)))))))) 0.529 * [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)))))))) 0.533 * [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)))))))) 0.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 0.535 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 0.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.536 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 0.537 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 0.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 0.539 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 0.541 * [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 0.542 * [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 0.544 * [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 0.545 * [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 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 0.548 * [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 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 0.551 * [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))) 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.557 * [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)))))))) 0.563 * [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)))))))) 0.563 * [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 0.563 * [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 0.563 * [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 0.563 * [taylor]: Taking taylor expansion of +nan.0 in n 0.563 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.563 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.563 * [taylor]: Taking taylor expansion of 0.5 in n 0.563 * [backup-simplify]: Simplify 0.5 into 0.5 0.563 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.563 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.563 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) 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 2.0) in n 0.563 * [taylor]: Taking taylor expansion of 2.0 in n 0.563 * [backup-simplify]: Simplify 2.0 into 2.0 0.563 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.564 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.565 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.565 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 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)) 0.566 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.566 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.566 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.566 * [taylor]: Taking taylor expansion of 1.0 in n 0.566 * [backup-simplify]: Simplify 1.0 into 1.0 0.566 * [taylor]: Taking taylor expansion of (log PI) in n 0.566 * [taylor]: Taking taylor expansion of PI in n 0.566 * [backup-simplify]: Simplify PI into PI 0.566 * [backup-simplify]: Simplify (log PI) into (log PI) 0.566 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.567 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.568 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.568 * [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) 0.569 * [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)) 0.570 * [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))) 0.571 * [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) 0.571 * [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 0.571 * [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 0.571 * [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 0.571 * [taylor]: Taking taylor expansion of +nan.0 in n 0.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.571 * [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 0.571 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.571 * [taylor]: Taking taylor expansion of 0.5 in n 0.571 * [backup-simplify]: Simplify 0.5 into 0.5 0.571 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.571 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.571 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.571 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.571 * [taylor]: Taking taylor expansion of 1.0 in n 0.571 * [backup-simplify]: Simplify 1.0 into 1.0 0.571 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.571 * [taylor]: Taking taylor expansion of 2.0 in n 0.571 * [backup-simplify]: Simplify 2.0 into 2.0 0.572 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.572 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.573 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.573 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [backup-simplify]: Simplify 1.0 into 1.0 0.573 * [taylor]: Taking taylor expansion of (log PI) in n 0.573 * [taylor]: Taking taylor expansion of PI in n 0.573 * [backup-simplify]: Simplify PI into PI 0.573 * [backup-simplify]: Simplify (log PI) into (log PI) 0.574 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.575 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [backup-simplify]: Simplify 1.0 into 1.0 0.575 * [taylor]: Taking taylor expansion of (log n) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (log 1) into 0 0.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.576 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.576 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.576 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.577 * [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) 0.578 * [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)) 0.579 * [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))) 0.579 * [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) 0.580 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.580 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.580 * [taylor]: Taking taylor expansion of 2.0 in n 0.580 * [backup-simplify]: Simplify 2.0 into 2.0 0.580 * [taylor]: Taking taylor expansion of (* n PI) in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [taylor]: Taking taylor expansion of PI in n 0.580 * [backup-simplify]: Simplify PI into PI 0.580 * [backup-simplify]: Simplify (* 0 PI) into 0 0.580 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.582 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.583 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.583 * [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 0.583 * [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 0.583 * [taylor]: Taking taylor expansion of +nan.0 in n 0.583 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.583 * [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 0.583 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.583 * [taylor]: Taking taylor expansion of 0.5 in n 0.583 * [backup-simplify]: Simplify 0.5 into 0.5 0.583 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.583 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.583 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.583 * [taylor]: Taking taylor expansion of 1.0 in n 0.583 * [backup-simplify]: Simplify 1.0 into 1.0 0.583 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [backup-simplify]: Simplify 2.0 into 2.0 0.583 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.584 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.585 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.585 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.585 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.585 * [backup-simplify]: Simplify 1.0 into 1.0 0.585 * [taylor]: Taking taylor expansion of (log PI) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.585 * [backup-simplify]: Simplify PI into PI 0.585 * [backup-simplify]: Simplify (log PI) into (log PI) 0.586 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.587 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.587 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.587 * [taylor]: Taking taylor expansion of 1.0 in n 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [taylor]: Taking taylor expansion of (log n) in n 0.587 * [taylor]: Taking taylor expansion of n in n 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (log 1) into 0 0.587 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.587 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.587 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.588 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.588 * [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) 0.589 * [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)) 0.590 * [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))) 0.591 * [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) 0.591 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.591 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.591 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.591 * [taylor]: Taking taylor expansion of 2.0 in n 0.591 * [backup-simplify]: Simplify 2.0 into 2.0 0.591 * [taylor]: Taking taylor expansion of (* n PI) in n 0.591 * [taylor]: Taking taylor expansion of n in n 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of PI in n 0.591 * [backup-simplify]: Simplify PI into PI 0.591 * [backup-simplify]: Simplify (* 0 PI) into 0 0.592 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.593 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.594 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.596 * [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)) 0.597 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.598 * [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)) 0.599 * [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))) 0.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.602 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 0.607 * [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)) 0.609 * [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))) 0.610 * [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)))))))) 0.617 * [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)))))))))))) 0.625 * [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 (* (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)))))))))))) 0.634 * [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)))))))))))))) 0.643 * [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)))))))))))))) 0.652 * [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)))))))))))))) 0.666 * [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)))))))))))))))))))))) 0.667 * [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)))))) 0.667 * [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 0.667 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [backup-simplify]: Simplify 1.0 into 1.0 0.667 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.667 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.667 * [backup-simplify]: Simplify k into k 0.667 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.667 * [taylor]: Taking taylor expansion of 0.5 in n 0.667 * [backup-simplify]: Simplify 0.5 into 0.5 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [backup-simplify]: Simplify 1.0 into 1.0 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.667 * [backup-simplify]: Simplify k into k 0.667 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.667 * [taylor]: Taking taylor expansion of 2.0 in n 0.667 * [backup-simplify]: Simplify 2.0 into 2.0 0.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.667 * [taylor]: Taking taylor expansion of PI in n 0.667 * [backup-simplify]: Simplify PI into PI 0.667 * [taylor]: Taking taylor expansion of n in n 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ PI 1) into PI 0.668 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.669 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.669 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.669 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.669 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.670 * [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)))) 0.671 * [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))))) 0.671 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.671 * [taylor]: Taking taylor expansion of 1.0 in k 0.671 * [backup-simplify]: Simplify 1.0 into 1.0 0.671 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.671 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.671 * [taylor]: Taking taylor expansion of k in k 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (sqrt 0) into 0 0.672 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.672 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.672 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.672 * [taylor]: Taking taylor expansion of 0.5 in k 0.672 * [backup-simplify]: Simplify 0.5 into 0.5 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.672 * [taylor]: Taking taylor expansion of 1.0 in k 0.672 * [backup-simplify]: Simplify 1.0 into 1.0 0.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.673 * [taylor]: Taking taylor expansion of 2.0 in k 0.673 * [backup-simplify]: Simplify 2.0 into 2.0 0.673 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.673 * [taylor]: Taking taylor expansion of PI in k 0.673 * [backup-simplify]: Simplify PI into PI 0.673 * [taylor]: Taking taylor expansion of n in k 0.673 * [backup-simplify]: Simplify n into n 0.673 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.673 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.673 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.673 * [backup-simplify]: Simplify (- 1) into -1 0.674 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.674 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.674 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.674 * [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))))) 0.674 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.674 * [taylor]: Taking taylor expansion of 1.0 in k 0.674 * [backup-simplify]: Simplify 1.0 into 1.0 0.674 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.674 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.674 * [taylor]: Taking taylor expansion of k in k 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (sqrt 0) into 0 0.675 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.675 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.675 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.675 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.675 * [taylor]: Taking taylor expansion of 0.5 in k 0.675 * [backup-simplify]: Simplify 0.5 into 0.5 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.675 * [taylor]: Taking taylor expansion of 1.0 in k 0.675 * [backup-simplify]: Simplify 1.0 into 1.0 0.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.675 * [taylor]: Taking taylor expansion of k in k 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (/ 1 1) into 1 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.676 * [taylor]: Taking taylor expansion of 2.0 in k 0.676 * [backup-simplify]: Simplify 2.0 into 2.0 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.676 * [taylor]: Taking taylor expansion of PI in k 0.676 * [backup-simplify]: Simplify PI into PI 0.676 * [taylor]: Taking taylor expansion of n in k 0.676 * [backup-simplify]: Simplify n into n 0.676 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.676 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.676 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.676 * [backup-simplify]: Simplify (- 1) into -1 0.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.677 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.677 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.677 * [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))))) 0.677 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 0.677 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.677 * [taylor]: Taking taylor expansion of 0 in n 0.677 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [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))))))) 0.678 * [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))))))) 0.678 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.678 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.678 * [taylor]: Taking taylor expansion of +nan.0 in n 0.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.678 * [taylor]: Taking taylor expansion of 0.5 in n 0.678 * [backup-simplify]: Simplify 0.5 into 0.5 0.678 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.679 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.679 * [taylor]: Taking taylor expansion of 2.0 in n 0.679 * [backup-simplify]: Simplify 2.0 into 2.0 0.679 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.679 * [taylor]: Taking taylor expansion of PI in n 0.679 * [backup-simplify]: Simplify PI into PI 0.679 * [taylor]: Taking taylor expansion of n in n 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (/ PI 1) into PI 0.679 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.680 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [backup-simplify]: Simplify 1.0 into 1.0 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.680 * [backup-simplify]: Simplify k into k 0.680 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.681 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.681 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.682 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.682 * [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)))) 0.683 * [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))))) 0.684 * [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)))))) 0.684 * [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))))))) 0.685 * [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))))))) 0.685 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.688 * [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))))))) 0.688 * [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))))))) 0.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.688 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.689 * [taylor]: Taking taylor expansion of +nan.0 in n 0.689 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.689 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.689 * [taylor]: Taking taylor expansion of 0.5 in n 0.689 * [backup-simplify]: Simplify 0.5 into 0.5 0.689 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.689 * [taylor]: Taking taylor expansion of 2.0 in n 0.689 * [backup-simplify]: Simplify 2.0 into 2.0 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.689 * [taylor]: Taking taylor expansion of PI in n 0.689 * [backup-simplify]: Simplify PI into PI 0.689 * [taylor]: Taking taylor expansion of n in n 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (/ PI 1) into PI 0.689 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.690 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [backup-simplify]: Simplify 1.0 into 1.0 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [backup-simplify]: Simplify k into k 0.690 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.691 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.691 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.692 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.692 * [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)))) 0.693 * [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))))) 0.697 * [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)))))) 0.698 * [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))))))) 0.698 * [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))))))) 0.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.702 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 0.704 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.709 * [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))))))) 0.710 * [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))))))) 0.710 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.710 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.710 * [taylor]: Taking taylor expansion of +nan.0 in n 0.710 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.710 * [taylor]: Taking taylor expansion of 0.5 in n 0.710 * [backup-simplify]: Simplify 0.5 into 0.5 0.710 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.710 * [taylor]: Taking taylor expansion of 2.0 in n 0.710 * [backup-simplify]: Simplify 2.0 into 2.0 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.710 * [taylor]: Taking taylor expansion of PI in n 0.710 * [backup-simplify]: Simplify PI into PI 0.710 * [taylor]: Taking taylor expansion of n in n 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (/ PI 1) into PI 0.710 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.711 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.711 * [taylor]: Taking taylor expansion of 1.0 in n 0.711 * [backup-simplify]: Simplify 1.0 into 1.0 0.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.711 * [taylor]: Taking taylor expansion of k in n 0.711 * [backup-simplify]: Simplify k into k 0.711 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.712 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.712 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.713 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.713 * [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)))) 0.714 * [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))))) 0.715 * [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)))))) 0.716 * [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))))))) 0.716 * [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))))))) 0.719 * [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)))))))) 0.720 * [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)))) 0.720 * [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 0.720 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.720 * [taylor]: Taking taylor expansion of 1.0 in n 0.720 * [backup-simplify]: Simplify 1.0 into 1.0 0.720 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.720 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.720 * [taylor]: Taking taylor expansion of 0.5 in n 0.720 * [backup-simplify]: Simplify 0.5 into 0.5 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.720 * [taylor]: Taking taylor expansion of k in n 0.720 * [backup-simplify]: Simplify k into k 0.720 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.720 * [taylor]: Taking taylor expansion of 1.0 in n 0.720 * [backup-simplify]: Simplify 1.0 into 1.0 0.720 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.720 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.720 * [taylor]: Taking taylor expansion of -2.0 in n 0.720 * [backup-simplify]: Simplify -2.0 into -2.0 0.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.720 * [taylor]: Taking taylor expansion of PI in n 0.720 * [backup-simplify]: Simplify PI into PI 0.720 * [taylor]: Taking taylor expansion of n in n 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (/ PI 1) into PI 0.721 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.721 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.721 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.721 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.723 * [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)))) 0.724 * [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))))) 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.724 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.724 * [taylor]: Taking taylor expansion of -1 in n 0.724 * [backup-simplify]: Simplify -1 into -1 0.724 * [taylor]: Taking taylor expansion of k in n 0.724 * [backup-simplify]: Simplify k into k 0.724 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 0.724 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 0.724 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 0.725 * [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))) 0.725 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [backup-simplify]: Simplify 1.0 into 1.0 0.725 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.725 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.725 * [taylor]: Taking taylor expansion of 0.5 in k 0.725 * [backup-simplify]: Simplify 0.5 into 0.5 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.725 * [taylor]: Taking taylor expansion of k in k 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [backup-simplify]: Simplify 1.0 into 1.0 0.725 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.725 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.725 * [taylor]: Taking taylor expansion of -2.0 in k 0.725 * [backup-simplify]: Simplify -2.0 into -2.0 0.725 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.725 * [taylor]: Taking taylor expansion of PI in k 0.725 * [backup-simplify]: Simplify PI into PI 0.725 * [taylor]: Taking taylor expansion of n in k 0.725 * [backup-simplify]: Simplify n into n 0.725 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.725 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.726 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.726 * [backup-simplify]: Simplify (+ 1 0) into 1 0.726 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.726 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.726 * [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)))))) 0.726 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.726 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.726 * [taylor]: Taking taylor expansion of -1 in k 0.726 * [backup-simplify]: Simplify -1 into -1 0.726 * [taylor]: Taking taylor expansion of k in k 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (/ -1 1) into -1 0.727 * [backup-simplify]: Simplify (sqrt 0) into 0 0.728 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.728 * [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))))))) 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.728 * [taylor]: Taking taylor expansion of 1.0 in k 0.728 * [backup-simplify]: Simplify 1.0 into 1.0 0.728 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.728 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.728 * [taylor]: Taking taylor expansion of 0.5 in k 0.728 * [backup-simplify]: Simplify 0.5 into 0.5 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.728 * [taylor]: Taking taylor expansion of k in k 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [taylor]: Taking taylor expansion of 1.0 in k 0.728 * [backup-simplify]: Simplify 1.0 into 1.0 0.729 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.729 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.729 * [taylor]: Taking taylor expansion of -2.0 in k 0.729 * [backup-simplify]: Simplify -2.0 into -2.0 0.729 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.729 * [taylor]: Taking taylor expansion of PI in k 0.729 * [backup-simplify]: Simplify PI into PI 0.729 * [taylor]: Taking taylor expansion of n in k 0.729 * [backup-simplify]: Simplify n into n 0.729 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.729 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.729 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.729 * [backup-simplify]: Simplify (+ 1 0) into 1 0.729 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.729 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.730 * [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)))))) 0.730 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.730 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.730 * [taylor]: Taking taylor expansion of -1 in k 0.730 * [backup-simplify]: Simplify -1 into -1 0.730 * [taylor]: Taking taylor expansion of k in k 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ -1 1) into -1 0.730 * [backup-simplify]: Simplify (sqrt 0) into 0 0.731 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.731 * [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))))))) 0.731 * [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))))))) 0.731 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.731 * [taylor]: Taking taylor expansion of +nan.0 in n 0.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.731 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.731 * [taylor]: Taking taylor expansion of 0.5 in n 0.731 * [backup-simplify]: Simplify 0.5 into 0.5 0.731 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.732 * [taylor]: Taking taylor expansion of k in n 0.732 * [backup-simplify]: Simplify k into k 0.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [backup-simplify]: Simplify 1.0 into 1.0 0.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.732 * [taylor]: Taking taylor expansion of -2.0 in n 0.732 * [backup-simplify]: Simplify -2.0 into -2.0 0.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [backup-simplify]: Simplify PI into PI 0.732 * [taylor]: Taking taylor expansion of n in n 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ PI 1) into PI 0.732 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.733 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.733 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.734 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.735 * [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)))) 0.736 * [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))))) 0.737 * [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)))))) 0.737 * [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)))))) 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.740 * [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)))))))) 0.740 * [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)))))))) 0.740 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.740 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.741 * [taylor]: Taking taylor expansion of +nan.0 in n 0.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.741 * [taylor]: Taking taylor expansion of 0.5 in n 0.741 * [backup-simplify]: Simplify 0.5 into 0.5 0.741 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.741 * [taylor]: Taking taylor expansion of k in n 0.741 * [backup-simplify]: Simplify k into k 0.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.741 * [taylor]: Taking taylor expansion of 1.0 in n 0.741 * [backup-simplify]: Simplify 1.0 into 1.0 0.741 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.741 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.741 * [taylor]: Taking taylor expansion of -2.0 in n 0.741 * [backup-simplify]: Simplify -2.0 into -2.0 0.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.741 * [taylor]: Taking taylor expansion of PI in n 0.741 * [backup-simplify]: Simplify PI into PI 0.741 * [taylor]: Taking taylor expansion of n in n 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ PI 1) into PI 0.741 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.742 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.742 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.744 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.744 * [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)))) 0.745 * [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))))) 0.746 * [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)))))) 0.746 * [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))))))) 0.747 * [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))))))) 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.751 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 0.753 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.757 * [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)))))))) 0.758 * [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)))))))) 0.758 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.758 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.758 * [taylor]: Taking taylor expansion of +nan.0 in n 0.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.758 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.758 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.758 * [taylor]: Taking taylor expansion of 0.5 in n 0.758 * [backup-simplify]: Simplify 0.5 into 0.5 0.758 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.758 * [taylor]: Taking taylor expansion of k in n 0.758 * [backup-simplify]: Simplify k into k 0.758 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.758 * [taylor]: Taking taylor expansion of 1.0 in n 0.758 * [backup-simplify]: Simplify 1.0 into 1.0 0.758 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.758 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.758 * [taylor]: Taking taylor expansion of -2.0 in n 0.758 * [backup-simplify]: Simplify -2.0 into -2.0 0.758 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.758 * [taylor]: Taking taylor expansion of PI in n 0.758 * [backup-simplify]: Simplify PI into PI 0.758 * [taylor]: Taking taylor expansion of n in n 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (/ PI 1) into PI 0.759 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.760 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.760 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.761 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.762 * [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)))) 0.762 * [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))))) 0.763 * [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)))))) 0.764 * [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))))))) 0.765 * [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))))))) 0.767 * [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)))))))))))) 0.767 * * * [progress]: simplifying candidates 0.770 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.771 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0)) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ h2 h0)) (pow (* (* h0 h4) h3) (/ h1 h0)) (pow (* (* h0 h4) h3) (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow (* (* h0 h4) h3) (sqrt (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (- h2 h1)) (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (exp (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (* (* h0 h4) h3) (* (* h0 h4) h3) (+ (+ (log h0) (log h4)) (log h3)) (+ (log (* h0 h4)) (log h3)) (log (* (* h0 h4) h3)) (exp (* (* h0 h4) h3)) (* (* (* (* h0 h0) h0) (* (* h4 h4) h4)) (* (* h3 h3) h3)) (* (* (* (* h0 h4) (* h0 h4)) (* h0 h4)) (* (* h3 h3) h3)) (* (cbrt (* (* h0 h4) h3)) (cbrt (* (* h0 h4) h3))) (cbrt (* (* h0 h4) h3)) (* (* (* (* h0 h4) h3) (* (* h0 h4) h3)) (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (* (* h0 h4) (* (cbrt h3) (cbrt h3))) (* (* h0 h4) (sqrt h3)) (* (* h0 h4) 1) (* h4 h3) (+ (- (log h2) (log (sqrt h1))) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (+ (log (/ h2 (sqrt h1))) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (log (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (exp (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* h2 (pow (* (* h0 h4) h3) (/ h2 h0))) (* (sqrt h1) (pow (* (* h0 h4) h3) (/ h1 h0))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (* (/ h2 (sqrt h1)) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) 1) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (cbrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ 1 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ h2 h0))) (* h2 (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (- (+ (* h7 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h7 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2)))) (+ (* h6 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h5 (* h1 (* (log (* h0 h4)) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (* h5 (* h1 (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3)))))) (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (- (+ (* h9 h1) (- (+ (* h9 (pow h1 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- h9))))) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (- (+ (* h9 (* (* (pow h1 2) (pow (log (* h0 h4)) 2)) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (log (* h0 h4))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (log (* h0 h4)) (log h3))) (pow (* (pow h4 h2) (* (pow h0 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* h1 (log (* h0 h4))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (pow (log h3) 2)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* h1 (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)) (- (+ (* h9 (* (pow h1 2) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (* h9 (* h1 (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)))))))))))))))))))))) (- (+ (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (pow h1 3))) (- (+ (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) h1)) (- (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (pow h1 2)))))))) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) h1)) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (pow h1 2))) (- (* h9 (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))))))))) 0.780 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 0.797 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 0.860 * * [simplify]: iteration 2 : 5002 enodes (cost 1344 ) 0.866 * * * [progress]: adding candidates to table 1.263 * * [progress]: iteration 2 / 4 1.263 * * * [progress]: picking best candidate 1.294 * * * * [pick]: Picked # 1.294 * * * [progress]: localizing error 1.310 * * * [progress]: generating rewritten candidates 1.310 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.383 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.404 * * * [progress]: generating series expansions 1.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.405 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.405 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.405 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.405 * [taylor]: Taking taylor expansion of 0.5 in k 1.405 * [backup-simplify]: Simplify 0.5 into 0.5 1.405 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.405 * [taylor]: Taking taylor expansion of 1.0 in k 1.405 * [backup-simplify]: Simplify 1.0 into 1.0 1.405 * [taylor]: Taking taylor expansion of k in k 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.405 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.405 * [taylor]: Taking taylor expansion of 2.0 in k 1.405 * [backup-simplify]: Simplify 2.0 into 2.0 1.405 * [taylor]: Taking taylor expansion of (* n PI) in k 1.405 * [taylor]: Taking taylor expansion of n in k 1.405 * [backup-simplify]: Simplify n into n 1.405 * [taylor]: Taking taylor expansion of PI in k 1.405 * [backup-simplify]: Simplify PI into PI 1.405 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.405 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.405 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.406 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.406 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.406 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.407 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.407 * [taylor]: Taking taylor expansion of 0.5 in n 1.407 * [backup-simplify]: Simplify 0.5 into 0.5 1.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.407 * [taylor]: Taking taylor expansion of 1.0 in n 1.407 * [backup-simplify]: Simplify 1.0 into 1.0 1.407 * [taylor]: Taking taylor expansion of k in n 1.407 * [backup-simplify]: Simplify k into k 1.407 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.407 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.407 * [taylor]: Taking taylor expansion of 2.0 in n 1.407 * [backup-simplify]: Simplify 2.0 into 2.0 1.407 * [taylor]: Taking taylor expansion of (* n PI) in n 1.407 * [taylor]: Taking taylor expansion of n in n 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of PI in n 1.407 * [backup-simplify]: Simplify PI into PI 1.407 * [backup-simplify]: Simplify (* 0 PI) into 0 1.407 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.409 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.410 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.410 * [backup-simplify]: Simplify (- k) into (- k) 1.410 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.410 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.411 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.411 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.412 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.412 * [taylor]: Taking taylor expansion of 0.5 in n 1.412 * [backup-simplify]: Simplify 0.5 into 0.5 1.412 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.412 * [taylor]: Taking taylor expansion of 1.0 in n 1.412 * [backup-simplify]: Simplify 1.0 into 1.0 1.412 * [taylor]: Taking taylor expansion of k in n 1.412 * [backup-simplify]: Simplify k into k 1.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.412 * [taylor]: Taking taylor expansion of 2.0 in n 1.412 * [backup-simplify]: Simplify 2.0 into 2.0 1.412 * [taylor]: Taking taylor expansion of (* n PI) in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.412 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of PI in n 1.413 * [backup-simplify]: Simplify PI into PI 1.413 * [backup-simplify]: Simplify (* 0 PI) into 0 1.413 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.415 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.416 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.416 * [backup-simplify]: Simplify (- k) into (- k) 1.416 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.416 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.417 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.417 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.418 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.418 * [taylor]: Taking taylor expansion of 0.5 in k 1.418 * [backup-simplify]: Simplify 0.5 into 0.5 1.418 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.418 * [taylor]: Taking taylor expansion of 1.0 in k 1.418 * [backup-simplify]: Simplify 1.0 into 1.0 1.418 * [taylor]: Taking taylor expansion of k in k 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.418 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.418 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.418 * [taylor]: Taking taylor expansion of 2.0 in k 1.418 * [backup-simplify]: Simplify 2.0 into 2.0 1.418 * [taylor]: Taking taylor expansion of PI in k 1.418 * [backup-simplify]: Simplify PI into PI 1.419 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.419 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.419 * [taylor]: Taking taylor expansion of (log n) in k 1.419 * [taylor]: Taking taylor expansion of n in k 1.419 * [backup-simplify]: Simplify n into n 1.419 * [backup-simplify]: Simplify (log n) into (log n) 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.420 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.421 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.422 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.422 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.423 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.424 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.427 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.428 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.428 * [taylor]: Taking taylor expansion of 0 in k 1.428 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [backup-simplify]: Simplify (- 1) into -1 1.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.432 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.433 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1.435 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.437 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.440 * [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 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.442 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.444 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.444 * [taylor]: Taking taylor expansion of 0 in k 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.446 * [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 1.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.452 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.455 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.461 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.461 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 1.462 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.462 * [taylor]: Taking taylor expansion of 0.5 in k 1.462 * [backup-simplify]: Simplify 0.5 into 0.5 1.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.462 * [taylor]: Taking taylor expansion of 1.0 in k 1.462 * [backup-simplify]: Simplify 1.0 into 1.0 1.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.462 * [taylor]: Taking taylor expansion of k in k 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (/ 1 1) into 1 1.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.462 * [taylor]: Taking taylor expansion of 2.0 in k 1.462 * [backup-simplify]: Simplify 2.0 into 2.0 1.462 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.462 * [taylor]: Taking taylor expansion of PI in k 1.462 * [backup-simplify]: Simplify PI into PI 1.462 * [taylor]: Taking taylor expansion of n in k 1.462 * [backup-simplify]: Simplify n into n 1.462 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.462 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.462 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.463 * [backup-simplify]: Simplify (- 1) into -1 1.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.463 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.463 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.463 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.464 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.464 * [taylor]: Taking taylor expansion of 0.5 in n 1.464 * [backup-simplify]: Simplify 0.5 into 0.5 1.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.464 * [taylor]: Taking taylor expansion of 1.0 in n 1.464 * [backup-simplify]: Simplify 1.0 into 1.0 1.464 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.464 * [taylor]: Taking taylor expansion of k in n 1.464 * [backup-simplify]: Simplify k into k 1.464 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.464 * [taylor]: Taking taylor expansion of 2.0 in n 1.464 * [backup-simplify]: Simplify 2.0 into 2.0 1.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.464 * [taylor]: Taking taylor expansion of PI in n 1.464 * [backup-simplify]: Simplify PI into PI 1.464 * [taylor]: Taking taylor expansion of n in n 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (/ PI 1) into PI 1.464 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.465 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.465 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.465 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.465 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.466 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.467 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.467 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.468 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.468 * [taylor]: Taking taylor expansion of 0.5 in n 1.468 * [backup-simplify]: Simplify 0.5 into 0.5 1.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.468 * [taylor]: Taking taylor expansion of 1.0 in n 1.468 * [backup-simplify]: Simplify 1.0 into 1.0 1.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.468 * [taylor]: Taking taylor expansion of k in n 1.468 * [backup-simplify]: Simplify k into k 1.468 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.468 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.468 * [taylor]: Taking taylor expansion of 2.0 in n 1.468 * [backup-simplify]: Simplify 2.0 into 2.0 1.468 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.468 * [taylor]: Taking taylor expansion of PI in n 1.468 * [backup-simplify]: Simplify PI into PI 1.468 * [taylor]: Taking taylor expansion of n in n 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (/ PI 1) into PI 1.468 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.469 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.469 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.469 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.469 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.470 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.471 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.471 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.471 * [taylor]: Taking taylor expansion of 0.5 in k 1.472 * [backup-simplify]: Simplify 0.5 into 0.5 1.472 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.472 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.472 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.472 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.472 * [taylor]: Taking taylor expansion of 2.0 in k 1.472 * [backup-simplify]: Simplify 2.0 into 2.0 1.472 * [taylor]: Taking taylor expansion of PI in k 1.472 * [backup-simplify]: Simplify PI into PI 1.472 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.477 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.477 * [taylor]: Taking taylor expansion of (log n) in k 1.477 * [taylor]: Taking taylor expansion of n in k 1.477 * [backup-simplify]: Simplify n into n 1.477 * [backup-simplify]: Simplify (log n) into (log n) 1.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.477 * [taylor]: Taking taylor expansion of 1.0 in k 1.477 * [backup-simplify]: Simplify 1.0 into 1.0 1.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.477 * [taylor]: Taking taylor expansion of k in k 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.478 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.479 * [backup-simplify]: Simplify (- 1) into -1 1.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.479 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.480 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.481 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.481 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.485 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.486 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.487 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.487 * [taylor]: Taking taylor expansion of 0 in k 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.490 * [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 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.490 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.493 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.494 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.494 * [taylor]: Taking taylor expansion of 0 in k 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.498 * [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 1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 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 (+ (* 0.5 0) (+ (* 0 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 (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.503 * [taylor]: Taking taylor expansion of 0 in k 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.504 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 1.504 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.504 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.504 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.504 * [taylor]: Taking taylor expansion of 0.5 in k 1.504 * [backup-simplify]: Simplify 0.5 into 0.5 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.504 * [taylor]: Taking taylor expansion of k in k 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [taylor]: Taking taylor expansion of 1.0 in k 1.505 * [backup-simplify]: Simplify 1.0 into 1.0 1.505 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.505 * [taylor]: Taking taylor expansion of -2.0 in k 1.505 * [backup-simplify]: Simplify -2.0 into -2.0 1.505 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.505 * [taylor]: Taking taylor expansion of PI in k 1.505 * [backup-simplify]: Simplify PI into PI 1.505 * [taylor]: Taking taylor expansion of n in k 1.505 * [backup-simplify]: Simplify n into n 1.505 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.505 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.505 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.505 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.506 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.506 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.506 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.506 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.506 * [taylor]: Taking taylor expansion of 0.5 in n 1.506 * [backup-simplify]: Simplify 0.5 into 0.5 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.506 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.506 * [taylor]: Taking taylor expansion of k in n 1.506 * [backup-simplify]: Simplify k into k 1.506 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.506 * [taylor]: Taking taylor expansion of 1.0 in n 1.506 * [backup-simplify]: Simplify 1.0 into 1.0 1.506 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.506 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.506 * [taylor]: Taking taylor expansion of -2.0 in n 1.506 * [backup-simplify]: Simplify -2.0 into -2.0 1.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.506 * [taylor]: Taking taylor expansion of PI in n 1.506 * [backup-simplify]: Simplify PI into PI 1.506 * [taylor]: Taking taylor expansion of n in n 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (/ PI 1) into PI 1.507 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.507 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.507 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.507 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.508 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.509 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.510 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.510 * [taylor]: Taking taylor expansion of 0.5 in n 1.510 * [backup-simplify]: Simplify 0.5 into 0.5 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.510 * [taylor]: Taking taylor expansion of k in n 1.510 * [backup-simplify]: Simplify k into k 1.510 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.510 * [taylor]: Taking taylor expansion of 1.0 in n 1.510 * [backup-simplify]: Simplify 1.0 into 1.0 1.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.510 * [taylor]: Taking taylor expansion of -2.0 in n 1.510 * [backup-simplify]: Simplify -2.0 into -2.0 1.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.510 * [backup-simplify]: Simplify PI into PI 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (/ PI 1) into PI 1.511 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.511 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.511 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.511 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.513 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.514 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.514 * [taylor]: Taking taylor expansion of 0.5 in k 1.514 * [backup-simplify]: Simplify 0.5 into 0.5 1.514 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.514 * [taylor]: Taking taylor expansion of k in k 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (/ 1 1) into 1 1.514 * [taylor]: Taking taylor expansion of 1.0 in k 1.514 * [backup-simplify]: Simplify 1.0 into 1.0 1.514 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.514 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.514 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.514 * [taylor]: Taking taylor expansion of -2.0 in k 1.514 * [backup-simplify]: Simplify -2.0 into -2.0 1.514 * [taylor]: Taking taylor expansion of PI in k 1.514 * [backup-simplify]: Simplify PI into PI 1.515 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.515 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.515 * [taylor]: Taking taylor expansion of (log n) in k 1.515 * [taylor]: Taking taylor expansion of n in k 1.515 * [backup-simplify]: Simplify n into n 1.515 * [backup-simplify]: Simplify (log n) into (log n) 1.516 * [backup-simplify]: Simplify (+ 1 0) into 1 1.516 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.516 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.517 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.518 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.518 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.519 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.523 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.524 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.524 * [taylor]: Taking taylor expansion of 0 in k 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.527 * [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 1.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.529 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.530 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.531 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.531 * [taylor]: Taking taylor expansion of 0 in k 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.535 * [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 1.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 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 (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.540 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in k 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.541 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) 1.541 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 1.541 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.541 * [taylor]: Taking taylor expansion of k in k 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (/ 1 1) into 1 1.541 * [backup-simplify]: Simplify (sqrt 0) into 0 1.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.542 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.542 * [taylor]: Taking taylor expansion of 1.0 in k 1.542 * [backup-simplify]: Simplify 1.0 into 1.0 1.542 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.543 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.543 * [taylor]: Taking taylor expansion of k in k 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [backup-simplify]: Simplify (sqrt 0) into 0 1.544 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.544 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.544 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.544 * [taylor]: Taking taylor expansion of 1.0 in k 1.544 * [backup-simplify]: Simplify 1.0 into 1.0 1.544 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.545 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.546 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 1.548 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.549 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.551 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.557 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.558 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.569 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.573 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow k 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) k) (- (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (* k (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow k 2) (pow (sqrt 1.0) 2)))))))) 1.573 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (/ 1.0 (sqrt (/ 1 k))))) into (* (sqrt k) (pow (sqrt 1.0) 2)) 1.573 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 1.573 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.573 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.573 * [taylor]: Taking taylor expansion of k in k 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (sqrt 0) into 0 1.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.574 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.574 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.574 * [taylor]: Taking taylor expansion of 1.0 in k 1.574 * [backup-simplify]: Simplify 1.0 into 1.0 1.575 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.575 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.575 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.575 * [taylor]: Taking taylor expansion of k in k 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (sqrt 0) into 0 1.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.576 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.576 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.576 * [taylor]: Taking taylor expansion of 1.0 in k 1.576 * [backup-simplify]: Simplify 1.0 into 1.0 1.576 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.577 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.578 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.581 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.582 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 1.584 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.588 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.589 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 1.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.597 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.601 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 1.601 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (/ 1.0 (sqrt (/ 1 (- k)))))) into (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) 1.601 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 1.601 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.601 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.601 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.601 * [taylor]: Taking taylor expansion of 1.0 in k 1.601 * [backup-simplify]: Simplify 1.0 into 1.0 1.602 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.602 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.602 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.602 * [taylor]: Taking taylor expansion of -1 in k 1.602 * [backup-simplify]: Simplify -1 into -1 1.602 * [taylor]: Taking taylor expansion of k in k 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (/ -1 1) into -1 1.603 * [backup-simplify]: Simplify (sqrt 0) into 0 1.603 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.604 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.605 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 1.605 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.605 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.605 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [backup-simplify]: Simplify 1.0 into 1.0 1.605 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.606 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.606 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.606 * [taylor]: Taking taylor expansion of -1 in k 1.606 * [backup-simplify]: Simplify -1 into -1 1.606 * [taylor]: Taking taylor expansion of k in k 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (/ -1 1) into -1 1.606 * [backup-simplify]: Simplify (sqrt 0) into 0 1.607 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.608 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.609 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 1.610 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 1.610 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 1.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.615 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.617 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.618 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 1.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.627 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.628 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 1.632 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- k))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 1.632 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.633 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.633 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.633 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.633 * [taylor]: Taking taylor expansion of 1.0 in k 1.633 * [backup-simplify]: Simplify 1.0 into 1.0 1.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.633 * [taylor]: Taking taylor expansion of k in k 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify (sqrt 0) into 0 1.634 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.634 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.634 * [taylor]: Taking taylor expansion of 1.0 in k 1.634 * [backup-simplify]: Simplify 1.0 into 1.0 1.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.634 * [taylor]: Taking taylor expansion of k in k 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [backup-simplify]: Simplify (sqrt 0) into 0 1.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.636 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.637 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.640 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.640 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.644 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.645 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.645 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.645 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.645 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.645 * [taylor]: Taking taylor expansion of 1.0 in k 1.645 * [backup-simplify]: Simplify 1.0 into 1.0 1.645 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.645 * [taylor]: Taking taylor expansion of k in k 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (sqrt 0) into 0 1.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.646 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.646 * [taylor]: Taking taylor expansion of 1.0 in k 1.646 * [backup-simplify]: Simplify 1.0 into 1.0 1.646 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.646 * [taylor]: Taking taylor expansion of k in k 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (sqrt 0) into 0 1.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.648 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.649 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.650 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.655 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.655 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.658 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.659 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.660 * [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)))))))) 1.660 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.660 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.660 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.660 * [taylor]: Taking taylor expansion of 1.0 in k 1.660 * [backup-simplify]: Simplify 1.0 into 1.0 1.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.660 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.660 * [taylor]: Taking taylor expansion of -1 in k 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of k in k 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (/ -1 1) into -1 1.660 * [backup-simplify]: Simplify (sqrt 0) into 0 1.661 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.661 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.661 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [backup-simplify]: Simplify 1.0 into 1.0 1.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.661 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.661 * [taylor]: Taking taylor expansion of -1 in k 1.661 * [backup-simplify]: Simplify -1 into -1 1.662 * [taylor]: Taking taylor expansion of k in k 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ -1 1) into -1 1.662 * [backup-simplify]: Simplify (sqrt 0) into 0 1.663 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.663 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.663 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.666 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.667 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.671 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.672 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.672 * [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))))) 1.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.673 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.673 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.673 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.673 * [taylor]: Taking taylor expansion of 1.0 in k 1.673 * [backup-simplify]: Simplify 1.0 into 1.0 1.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.673 * [taylor]: Taking taylor expansion of k in k 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [backup-simplify]: Simplify (sqrt 0) into 0 1.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.674 * [taylor]: Taking taylor expansion of 1.0 in k 1.674 * [backup-simplify]: Simplify 1.0 into 1.0 1.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.674 * [taylor]: Taking taylor expansion of k in k 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [backup-simplify]: Simplify (sqrt 0) into 0 1.675 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.676 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.677 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.680 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.680 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.684 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.684 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.685 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.685 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.685 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.685 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt 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 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 (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 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 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 1.686 * [backup-simplify]: Simplify (sqrt 0) into 0 1.687 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.687 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.688 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.691 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.691 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.695 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.695 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.696 * [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)))))))) 1.696 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.696 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.696 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.696 * [taylor]: Taking taylor expansion of 1.0 in k 1.696 * [backup-simplify]: Simplify 1.0 into 1.0 1.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.696 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.696 * [taylor]: Taking taylor expansion of -1 in k 1.696 * [backup-simplify]: Simplify -1 into -1 1.696 * [taylor]: Taking taylor expansion of k in k 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (/ -1 1) into -1 1.697 * [backup-simplify]: Simplify (sqrt 0) into 0 1.697 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.698 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.698 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 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 (/ -1 k)) in k 1.698 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.698 * [taylor]: Taking taylor expansion of -1 in k 1.698 * [backup-simplify]: Simplify -1 into -1 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 (/ -1 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 +nan.0) into +nan.0 1.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.703 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.703 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.708 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.708 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.709 * [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))))) 1.709 * * * [progress]: simplifying candidates 1.713 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (+ 1 1) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (/ 1.0 (sqrt k))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 1 1) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ 1.0 (sqrt k))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) 1) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (* (sqrt 1.0) (sqrt (/ 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) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (* k (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow k 2) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.714 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0)) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ h2 h0)) (pow (* (* h0 h4) h3) (/ h1 h0)) (pow (* (* h0 h4) h3) (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow (* (* h0 h4) h3) (sqrt (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (- h2 h1)) (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (exp (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (+ 1 1) (+ (log (sqrt (/ h2 (sqrt h1)))) (log (sqrt (/ h2 (sqrt h1))))) (log (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (exp (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (* (* (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (sqrt (/ h2 (sqrt h1))))) (* (cbrt (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (cbrt (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))))) (cbrt (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (* (* (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (sqrt (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (sqrt (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))))) (* (sqrt h2) (sqrt h2)) (* (sqrt (sqrt h1)) (sqrt (sqrt h1))) (* (* (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1))))) (* (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))))) (* (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1))))) (sqrt (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))))) (* (sqrt (cbrt (/ h2 (sqrt h1)))) (sqrt (cbrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))))) (* (sqrt (/ (cbrt h2) (cbrt (sqrt h1)))) (sqrt (/ (cbrt h2) (cbrt (sqrt h1))))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1))))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))))) (* (sqrt (/ (cbrt h2) (sqrt (cbrt h1)))) (sqrt (/ (cbrt h2) (sqrt (cbrt h1))))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))))) (* (sqrt (/ (cbrt h2) (sqrt (sqrt h1)))) (sqrt (/ (cbrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))))) (* (sqrt (/ (cbrt h2) (sqrt (sqrt h1)))) (sqrt (/ (cbrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt 1))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)))) (* (sqrt (/ (cbrt h2) (sqrt h1))) (sqrt (/ (cbrt h2) (sqrt h1)))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))))) (* (sqrt (/ (cbrt h2) (sqrt (sqrt h1)))) (sqrt (/ (cbrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))))) (* (sqrt (/ (cbrt h2) (sqrt (sqrt h1)))) (sqrt (/ (cbrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (* (cbrt h2) (cbrt h2)) 1)) (sqrt (/ (* (cbrt h2) (cbrt h2)) 1))) (* (sqrt (/ (cbrt h2) (sqrt h1))) (sqrt (/ (cbrt h2) (sqrt h1)))) (* (sqrt (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (sqrt (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))))) (* (sqrt (/ (sqrt h2) (cbrt (sqrt h1)))) (sqrt (/ (sqrt h2) (cbrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1))))) (sqrt (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))))) (* (sqrt (/ (sqrt h2) (sqrt (cbrt h1)))) (sqrt (/ (sqrt h2) (sqrt (cbrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt 1))) (sqrt (/ (sqrt h2) (sqrt 1)))) (* (sqrt (/ (sqrt h2) (sqrt h1))) (sqrt (/ (sqrt h2) (sqrt h1)))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) 1)) (sqrt (/ (sqrt h2) 1))) (* (sqrt (/ (sqrt h2) (sqrt h1))) (sqrt (/ (sqrt h2) (sqrt h1)))) (* (sqrt (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (sqrt (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))))) (* (sqrt (/ h2 (cbrt (sqrt h1)))) (sqrt (/ h2 (cbrt (sqrt h1))))) (* (sqrt (/ 1 (sqrt (* (cbrt h1) (cbrt h1))))) (sqrt (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))))) (* (sqrt (/ h2 (sqrt (cbrt h1)))) (sqrt (/ h2 (sqrt (cbrt h1))))) (* (sqrt (/ 1 (sqrt (sqrt h1)))) (sqrt (/ 1 (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt (sqrt h1))))) (* (sqrt (/ 1 (sqrt (sqrt h1)))) (sqrt (/ 1 (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt (sqrt h1))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ 1 (sqrt (sqrt h1)))) (sqrt (/ 1 (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt (sqrt h1))))) (* (sqrt (/ 1 (sqrt (sqrt h1)))) (sqrt (/ 1 (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt (sqrt h1))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt h2) (sqrt h2)) (* (sqrt (/ 1 (sqrt h1))) (sqrt (/ 1 (sqrt h1)))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* 1 1) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ h2 (sqrt h1))) (* (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (* (cbrt h2) (cbrt h2)) 1))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (sqrt h2) (sqrt 1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (sqrt h2) (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ (sqrt h2) 1))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ 1 (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ 1 (sqrt (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ 1 1))) (* (sqrt (/ h2 (sqrt h1))) (sqrt 1)) (* (sqrt (/ h2 (sqrt h1))) (sqrt h2)) (* (sqrt (/ h2 (sqrt h1))) (sqrt (sqrt (/ h2 (sqrt h1))))) (* (sqrt (/ h2 (sqrt h1))) 1) (* (cbrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (cbrt (/ h2 (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (cbrt h2) (cbrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (cbrt h2) (sqrt (cbrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (cbrt h2) (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (cbrt h2) (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (cbrt h2) (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (cbrt h2) (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (sqrt h2) (cbrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (sqrt h2) (sqrt (cbrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (sqrt h2) (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (sqrt h2) (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ (sqrt h2) (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (cbrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt (cbrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ 1 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (sqrt (/ h2 (sqrt h1)))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt h2)) (* (sqrt h2) (sqrt (/ h2 (sqrt h1)))) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (- (+ (* h7 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h7 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2)))) (+ (* h6 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h5 (* h1 (* (log (* h0 h4)) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (* h5 (* h1 (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3)))))) (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (- (+ (* h9 (pow (sqrt h2) 2)) (- (+ (* h9 (* h1 (pow (sqrt h2) 2))) (- (* h9 (* (pow h1 2) (pow (sqrt h2) 2)))))))) (- (+ (* h9 (/ (pow (sqrt h2) 2) (pow h1 3))) (- (+ (* h9 (/ (pow (sqrt h2) 2) (pow h1 2))) (- (* h9 (/ (pow (sqrt h2) 2) h1))))))) (- (+ (* h9 (/ (pow (sqrt h2) 2) (pow h1 2))) (- (+ (* h9 (pow (sqrt h2) 2)) (- (* h9 (/ (pow (sqrt h2) 2) h1))))))) (- (+ (* h9 h1) (- (+ (* h9 (pow h1 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- h9))))) (- (+ (* h9 h1) (- (+ (* h9 (pow h1 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- h9))))) 1.723 * * [simplify]: iteration 0 : 747 enodes (cost 1810 ) 1.738 * * [simplify]: iteration 1 : 3412 enodes (cost 1649 ) 1.799 * * [simplify]: iteration 2 : 5002 enodes (cost 1634 ) 1.806 * * * [progress]: adding candidates to table 2.458 * * [progress]: iteration 3 / 4 2.458 * * * [progress]: picking best candidate 2.488 * * * * [pick]: Picked # 2.489 * * * [progress]: localizing error 2.502 * * * [progress]: generating rewritten candidates 2.503 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.543 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.585 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.593 * * * [progress]: generating series expansions 2.593 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.594 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.594 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.594 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.594 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.594 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.594 * [taylor]: Taking taylor expansion of 0.5 in k 2.594 * [backup-simplify]: Simplify 0.5 into 0.5 2.594 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.594 * [taylor]: Taking taylor expansion of 1.0 in k 2.594 * [backup-simplify]: Simplify 1.0 into 1.0 2.594 * [taylor]: Taking taylor expansion of k in k 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.594 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.594 * [taylor]: Taking taylor expansion of 2.0 in k 2.594 * [backup-simplify]: Simplify 2.0 into 2.0 2.594 * [taylor]: Taking taylor expansion of (* n PI) in k 2.595 * [taylor]: Taking taylor expansion of n in k 2.595 * [backup-simplify]: Simplify n into n 2.595 * [taylor]: Taking taylor expansion of PI in k 2.595 * [backup-simplify]: Simplify PI into PI 2.595 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.595 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.595 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.595 * [backup-simplify]: Simplify (- 0) into 0 2.595 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.596 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.596 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.596 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.596 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.596 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.596 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.596 * [taylor]: Taking taylor expansion of 0.5 in n 2.596 * [backup-simplify]: Simplify 0.5 into 0.5 2.596 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.596 * [taylor]: Taking taylor expansion of 1.0 in n 2.596 * [backup-simplify]: Simplify 1.0 into 1.0 2.596 * [taylor]: Taking taylor expansion of k in n 2.596 * [backup-simplify]: Simplify k into k 2.596 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.596 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.596 * [taylor]: Taking taylor expansion of 2.0 in n 2.596 * [backup-simplify]: Simplify 2.0 into 2.0 2.596 * [taylor]: Taking taylor expansion of (* n PI) in n 2.596 * [taylor]: Taking taylor expansion of n in n 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of PI in n 2.596 * [backup-simplify]: Simplify PI into PI 2.596 * [backup-simplify]: Simplify (* 0 PI) into 0 2.597 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.598 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.598 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.599 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.599 * [backup-simplify]: Simplify (- k) into (- k) 2.599 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.599 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.601 * [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)))) 2.601 * [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))))) 2.601 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.601 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.601 * [taylor]: Taking taylor expansion of 0.5 in n 2.601 * [backup-simplify]: Simplify 0.5 into 0.5 2.601 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.601 * [taylor]: Taking taylor expansion of 1.0 in n 2.601 * [backup-simplify]: Simplify 1.0 into 1.0 2.601 * [taylor]: Taking taylor expansion of k in n 2.601 * [backup-simplify]: Simplify k into k 2.601 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.602 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.602 * [taylor]: Taking taylor expansion of 2.0 in n 2.602 * [backup-simplify]: Simplify 2.0 into 2.0 2.602 * [taylor]: Taking taylor expansion of (* n PI) in n 2.602 * [taylor]: Taking taylor expansion of n in n 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [taylor]: Taking taylor expansion of PI in n 2.602 * [backup-simplify]: Simplify PI into PI 2.602 * [backup-simplify]: Simplify (* 0 PI) into 0 2.602 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.604 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.605 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.605 * [backup-simplify]: Simplify (- k) into (- k) 2.605 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.605 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.606 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.606 * [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)))) 2.607 * [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))))) 2.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.607 * [taylor]: Taking taylor expansion of 0.5 in k 2.607 * [backup-simplify]: Simplify 0.5 into 0.5 2.607 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.607 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.607 * [taylor]: Taking taylor expansion of 1.0 in k 2.607 * [backup-simplify]: Simplify 1.0 into 1.0 2.607 * [taylor]: Taking taylor expansion of k in k 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.607 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.607 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.607 * [taylor]: Taking taylor expansion of 2.0 in k 2.607 * [backup-simplify]: Simplify 2.0 into 2.0 2.607 * [taylor]: Taking taylor expansion of PI in k 2.607 * [backup-simplify]: Simplify PI into PI 2.608 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.608 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.608 * [taylor]: Taking taylor expansion of (log n) in k 2.608 * [taylor]: Taking taylor expansion of n in k 2.608 * [backup-simplify]: Simplify n into n 2.608 * [backup-simplify]: Simplify (log n) into (log n) 2.609 * [backup-simplify]: Simplify (- 0) into 0 2.609 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.609 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.610 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.611 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.611 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.612 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.613 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.614 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.614 * [backup-simplify]: Simplify (- 0) into 0 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.615 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.616 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.616 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.617 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.617 * [taylor]: Taking taylor expansion of 0 in k 2.617 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.620 * [backup-simplify]: Simplify (- 1) into -1 2.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.621 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.622 * [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)))) 2.624 * [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)))))) 2.626 * [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)))))) 2.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.629 * [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 2.629 * [backup-simplify]: Simplify (- 0) into 0 2.629 * [backup-simplify]: Simplify (+ 0 0) into 0 2.630 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.631 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.632 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.633 * [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 2.633 * [taylor]: Taking taylor expansion of 0 in k 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.635 * [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 2.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.637 * [backup-simplify]: Simplify (+ 0 0) into 0 2.637 * [backup-simplify]: Simplify (- 0) into 0 2.637 * [backup-simplify]: Simplify (+ 0 0) into 0 2.638 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.640 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.642 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.645 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.650 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 2.651 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 2.651 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.651 * [taylor]: Taking taylor expansion of 0.5 in k 2.651 * [backup-simplify]: Simplify 0.5 into 0.5 2.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.651 * [taylor]: Taking taylor expansion of 1.0 in k 2.651 * [backup-simplify]: Simplify 1.0 into 1.0 2.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.651 * [taylor]: Taking taylor expansion of k in k 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (/ 1 1) into 1 2.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.652 * [taylor]: Taking taylor expansion of 2.0 in k 2.652 * [backup-simplify]: Simplify 2.0 into 2.0 2.652 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.652 * [taylor]: Taking taylor expansion of PI in k 2.652 * [backup-simplify]: Simplify PI into PI 2.652 * [taylor]: Taking taylor expansion of n in k 2.652 * [backup-simplify]: Simplify n into n 2.652 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.652 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.652 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.652 * [backup-simplify]: Simplify (- 1) into -1 2.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.653 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.653 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.653 * [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))))) 2.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.653 * [taylor]: Taking taylor expansion of 0.5 in n 2.653 * [backup-simplify]: Simplify 0.5 into 0.5 2.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.653 * [taylor]: Taking taylor expansion of 1.0 in n 2.653 * [backup-simplify]: Simplify 1.0 into 1.0 2.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.653 * [taylor]: Taking taylor expansion of k in n 2.653 * [backup-simplify]: Simplify k into k 2.653 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.653 * [taylor]: Taking taylor expansion of 2.0 in n 2.653 * [backup-simplify]: Simplify 2.0 into 2.0 2.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.653 * [taylor]: Taking taylor expansion of PI in n 2.653 * [backup-simplify]: Simplify PI into PI 2.653 * [taylor]: Taking taylor expansion of n in n 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify (/ PI 1) into PI 2.654 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.655 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.655 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.655 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.655 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.656 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.656 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.657 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.657 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.657 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.657 * [taylor]: Taking taylor expansion of 0.5 in n 2.657 * [backup-simplify]: Simplify 0.5 into 0.5 2.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.657 * [taylor]: Taking taylor expansion of 1.0 in n 2.657 * [backup-simplify]: Simplify 1.0 into 1.0 2.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.657 * [taylor]: Taking taylor expansion of k in n 2.657 * [backup-simplify]: Simplify k into k 2.657 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.657 * [taylor]: Taking taylor expansion of 2.0 in n 2.657 * [backup-simplify]: Simplify 2.0 into 2.0 2.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.657 * [taylor]: Taking taylor expansion of PI in n 2.657 * [backup-simplify]: Simplify PI into PI 2.657 * [taylor]: Taking taylor expansion of n in n 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (/ PI 1) into PI 2.658 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.659 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.659 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.659 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.659 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.660 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.661 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.661 * [taylor]: Taking taylor expansion of 0.5 in k 2.661 * [backup-simplify]: Simplify 0.5 into 0.5 2.661 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.661 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.661 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.661 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.661 * [taylor]: Taking taylor expansion of 2.0 in k 2.661 * [backup-simplify]: Simplify 2.0 into 2.0 2.661 * [taylor]: Taking taylor expansion of PI in k 2.661 * [backup-simplify]: Simplify PI into PI 2.662 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.662 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.662 * [taylor]: Taking taylor expansion of (log n) in k 2.662 * [taylor]: Taking taylor expansion of n in k 2.662 * [backup-simplify]: Simplify n into n 2.662 * [backup-simplify]: Simplify (log n) into (log n) 2.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.662 * [taylor]: Taking taylor expansion of 1.0 in k 2.662 * [backup-simplify]: Simplify 1.0 into 1.0 2.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.662 * [taylor]: Taking taylor expansion of k in k 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.663 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.664 * [backup-simplify]: Simplify (- 1) into -1 2.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.664 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.665 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.669 * [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))))) 2.670 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.672 * [backup-simplify]: Simplify (- 0) into 0 2.672 * [backup-simplify]: Simplify (+ 0 0) into 0 2.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.674 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.674 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.675 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.675 * [taylor]: Taking taylor expansion of 0 in k 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.678 * [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 2.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.678 * [backup-simplify]: Simplify (- 0) into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.681 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.682 * [taylor]: Taking taylor expansion of 0 in k 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.686 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 2.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.687 * [backup-simplify]: Simplify (- 0) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.688 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.690 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.691 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.691 * [taylor]: Taking taylor expansion of 0 in k 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2.692 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 2.692 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.692 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.693 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.693 * [taylor]: Taking taylor expansion of 0.5 in k 2.693 * [backup-simplify]: Simplify 0.5 into 0.5 2.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.693 * [taylor]: Taking taylor expansion of k in k 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ 1 1) into 1 2.693 * [taylor]: Taking taylor expansion of 1.0 in k 2.693 * [backup-simplify]: Simplify 1.0 into 1.0 2.693 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.693 * [taylor]: Taking taylor expansion of -2.0 in k 2.693 * [backup-simplify]: Simplify -2.0 into -2.0 2.693 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.693 * [taylor]: Taking taylor expansion of PI in k 2.693 * [backup-simplify]: Simplify PI into PI 2.693 * [taylor]: Taking taylor expansion of n in k 2.693 * [backup-simplify]: Simplify n into n 2.693 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.693 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.693 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.693 * [backup-simplify]: Simplify (+ 1 0) into 1 2.694 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.694 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.694 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.694 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.694 * [taylor]: Taking taylor expansion of 0.5 in n 2.694 * [backup-simplify]: Simplify 0.5 into 0.5 2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.694 * [taylor]: Taking taylor expansion of k in n 2.694 * [backup-simplify]: Simplify k into k 2.694 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [backup-simplify]: Simplify 1.0 into 1.0 2.694 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.694 * [taylor]: Taking taylor expansion of -2.0 in n 2.694 * [backup-simplify]: Simplify -2.0 into -2.0 2.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.694 * [taylor]: Taking taylor expansion of PI in n 2.694 * [backup-simplify]: Simplify PI into PI 2.694 * [taylor]: Taking taylor expansion of n in n 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (/ PI 1) into PI 2.695 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.696 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.696 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.696 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.697 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.698 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.698 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.698 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.698 * [taylor]: Taking taylor expansion of 0.5 in n 2.698 * [backup-simplify]: Simplify 0.5 into 0.5 2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.698 * [taylor]: Taking taylor expansion of k in n 2.698 * [backup-simplify]: Simplify k into k 2.698 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.698 * [taylor]: Taking taylor expansion of 1.0 in n 2.698 * [backup-simplify]: Simplify 1.0 into 1.0 2.698 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.698 * [taylor]: Taking taylor expansion of -2.0 in n 2.698 * [backup-simplify]: Simplify -2.0 into -2.0 2.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.698 * [taylor]: Taking taylor expansion of PI in n 2.698 * [backup-simplify]: Simplify PI into PI 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (/ PI 1) into PI 2.699 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.699 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.700 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.700 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.701 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.702 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.702 * [taylor]: Taking taylor expansion of 0.5 in k 2.702 * [backup-simplify]: Simplify 0.5 into 0.5 2.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.702 * [taylor]: Taking taylor expansion of k in k 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (/ 1 1) into 1 2.702 * [taylor]: Taking taylor expansion of 1.0 in k 2.702 * [backup-simplify]: Simplify 1.0 into 1.0 2.702 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.702 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.702 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.702 * [taylor]: Taking taylor expansion of -2.0 in k 2.702 * [backup-simplify]: Simplify -2.0 into -2.0 2.702 * [taylor]: Taking taylor expansion of PI in k 2.702 * [backup-simplify]: Simplify PI into PI 2.703 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.703 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.703 * [taylor]: Taking taylor expansion of (log n) in k 2.703 * [taylor]: Taking taylor expansion of n in k 2.703 * [backup-simplify]: Simplify n into n 2.703 * [backup-simplify]: Simplify (log n) into (log n) 2.704 * [backup-simplify]: Simplify (+ 1 0) into 1 2.704 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.705 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.705 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.706 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.707 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.707 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.710 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.711 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.713 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.713 * [taylor]: Taking taylor expansion of 0 in k 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 2.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.718 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.719 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.719 * [taylor]: Taking taylor expansion of 0 in k 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.723 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.726 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.728 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.728 * [taylor]: Taking taylor expansion of 0 in k 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.729 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.729 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.729 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.729 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.729 * [taylor]: Taking taylor expansion of 2.0 in n 2.729 * [backup-simplify]: Simplify 2.0 into 2.0 2.729 * [taylor]: Taking taylor expansion of (* n PI) in n 2.729 * [taylor]: Taking taylor expansion of n in n 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [taylor]: Taking taylor expansion of PI in n 2.729 * [backup-simplify]: Simplify PI into PI 2.729 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.729 * [taylor]: Taking taylor expansion of 2.0 in n 2.729 * [backup-simplify]: Simplify 2.0 into 2.0 2.729 * [taylor]: Taking taylor expansion of (* n PI) in n 2.729 * [taylor]: Taking taylor expansion of n in n 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [taylor]: Taking taylor expansion of PI in n 2.729 * [backup-simplify]: Simplify PI into PI 2.730 * [backup-simplify]: Simplify (* 0 PI) into 0 2.730 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.732 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.732 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.733 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.734 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.738 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.742 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.742 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.742 * [taylor]: Taking taylor expansion of 2.0 in n 2.742 * [backup-simplify]: Simplify 2.0 into 2.0 2.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.742 * [taylor]: Taking taylor expansion of PI in n 2.742 * [backup-simplify]: Simplify PI into PI 2.742 * [taylor]: Taking taylor expansion of n in n 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (/ PI 1) into PI 2.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.742 * [taylor]: Taking taylor expansion of 2.0 in n 2.742 * [backup-simplify]: Simplify 2.0 into 2.0 2.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.742 * [taylor]: Taking taylor expansion of PI in n 2.742 * [backup-simplify]: Simplify PI into PI 2.742 * [taylor]: Taking taylor expansion of n in n 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ PI 1) into PI 2.743 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.743 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.751 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.751 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.751 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.751 * [taylor]: Taking taylor expansion of -2.0 in n 2.751 * [backup-simplify]: Simplify -2.0 into -2.0 2.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.751 * [taylor]: Taking taylor expansion of PI in n 2.751 * [backup-simplify]: Simplify PI into PI 2.751 * [taylor]: Taking taylor expansion of n in n 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ PI 1) into PI 2.752 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.752 * [taylor]: Taking taylor expansion of -2.0 in n 2.752 * [backup-simplify]: Simplify -2.0 into -2.0 2.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.752 * [taylor]: Taking taylor expansion of PI in n 2.752 * [backup-simplify]: Simplify PI into PI 2.752 * [taylor]: Taking taylor expansion of n in n 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ PI 1) into PI 2.753 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.753 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.762 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.764 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.765 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) 2.765 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in (k n) around 0 2.765 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in n 2.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.765 * [taylor]: Taking taylor expansion of k in n 2.765 * [backup-simplify]: Simplify k into k 2.765 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.765 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.765 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0)) in n 2.765 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.765 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.765 * [taylor]: Taking taylor expansion of 0.5 in n 2.765 * [backup-simplify]: Simplify 0.5 into 0.5 2.765 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.765 * [taylor]: Taking taylor expansion of 1.0 in n 2.765 * [backup-simplify]: Simplify 1.0 into 1.0 2.765 * [taylor]: Taking taylor expansion of k in n 2.765 * [backup-simplify]: Simplify k into k 2.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.765 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.765 * [taylor]: Taking taylor expansion of 2.0 in n 2.765 * [backup-simplify]: Simplify 2.0 into 2.0 2.765 * [taylor]: Taking taylor expansion of (* n PI) in n 2.765 * [taylor]: Taking taylor expansion of n in n 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [taylor]: Taking taylor expansion of PI in n 2.766 * [backup-simplify]: Simplify PI into PI 2.766 * [backup-simplify]: Simplify (* 0 PI) into 0 2.766 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.768 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.768 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.768 * [backup-simplify]: Simplify (- k) into (- k) 2.768 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.768 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.769 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.770 * [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)))) 2.771 * [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))))) 2.771 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.771 * [taylor]: Taking taylor expansion of 1.0 in n 2.771 * [backup-simplify]: Simplify 1.0 into 1.0 2.771 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.771 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in k 2.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.771 * [taylor]: Taking taylor expansion of k in k 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (/ 1 1) into 1 2.772 * [backup-simplify]: Simplify (sqrt 0) into 0 2.773 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.773 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0)) in k 2.773 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.773 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.773 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.773 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.773 * [taylor]: Taking taylor expansion of 0.5 in k 2.773 * [backup-simplify]: Simplify 0.5 into 0.5 2.773 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.773 * [taylor]: Taking taylor expansion of 1.0 in k 2.773 * [backup-simplify]: Simplify 1.0 into 1.0 2.773 * [taylor]: Taking taylor expansion of k in k 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 1 into 1 2.773 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.773 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.773 * [taylor]: Taking taylor expansion of 2.0 in k 2.773 * [backup-simplify]: Simplify 2.0 into 2.0 2.773 * [taylor]: Taking taylor expansion of (* n PI) in k 2.773 * [taylor]: Taking taylor expansion of n in k 2.773 * [backup-simplify]: Simplify n into n 2.773 * [taylor]: Taking taylor expansion of PI in k 2.773 * [backup-simplify]: Simplify PI into PI 2.773 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.773 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.773 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.774 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.774 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.774 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.774 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.774 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.774 * [taylor]: Taking taylor expansion of 1.0 in k 2.774 * [backup-simplify]: Simplify 1.0 into 1.0 2.774 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.775 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0))) in k 2.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.775 * [taylor]: Taking taylor expansion of k in k 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [backup-simplify]: Simplify (sqrt 0) into 0 2.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.776 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt 1.0)) in k 2.776 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.776 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.776 * [taylor]: Taking taylor expansion of 0.5 in k 2.776 * [backup-simplify]: Simplify 0.5 into 0.5 2.776 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.776 * [taylor]: Taking taylor expansion of 1.0 in k 2.776 * [backup-simplify]: Simplify 1.0 into 1.0 2.776 * [taylor]: Taking taylor expansion of k in k 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.776 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.776 * [taylor]: Taking taylor expansion of 2.0 in k 2.777 * [backup-simplify]: Simplify 2.0 into 2.0 2.777 * [taylor]: Taking taylor expansion of (* n PI) in k 2.777 * [taylor]: Taking taylor expansion of n in k 2.777 * [backup-simplify]: Simplify n into n 2.777 * [taylor]: Taking taylor expansion of PI in k 2.777 * [backup-simplify]: Simplify PI into PI 2.777 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.777 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.777 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.777 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.777 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.778 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.778 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.778 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.778 * [taylor]: Taking taylor expansion of 1.0 in k 2.778 * [backup-simplify]: Simplify 1.0 into 1.0 2.778 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.779 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) (sqrt 1.0)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)) 2.780 * [backup-simplify]: Simplify (* 0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) into 0 2.780 * [taylor]: Taking taylor expansion of 0 in n 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.780 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.781 * [backup-simplify]: Simplify (- 1) into -1 2.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.782 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.783 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.783 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.784 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) 0) (* (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (sqrt 1.0))) into (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI))))))) 2.786 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI)))))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 2.786 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) in n 2.786 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 2.786 * [taylor]: Taking taylor expansion of +nan.0 in n 2.786 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.787 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 2.787 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.787 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.787 * [taylor]: Taking taylor expansion of 0.5 in n 2.787 * [backup-simplify]: Simplify 0.5 into 0.5 2.787 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.787 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.787 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.787 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.787 * [taylor]: Taking taylor expansion of 1.0 in n 2.787 * [backup-simplify]: Simplify 1.0 into 1.0 2.787 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.787 * [taylor]: Taking taylor expansion of 2.0 in n 2.787 * [backup-simplify]: Simplify 2.0 into 2.0 2.787 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.788 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.788 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.788 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.788 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.788 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.788 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.788 * [taylor]: Taking taylor expansion of 1.0 in n 2.789 * [backup-simplify]: Simplify 1.0 into 1.0 2.789 * [taylor]: Taking taylor expansion of (log n) in n 2.789 * [taylor]: Taking taylor expansion of n in n 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (log 1) into 0 2.789 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.789 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.789 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.789 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.789 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.789 * [taylor]: Taking taylor expansion of 1.0 in n 2.789 * [backup-simplify]: Simplify 1.0 into 1.0 2.789 * [taylor]: Taking taylor expansion of (log PI) in n 2.789 * [taylor]: Taking taylor expansion of PI in n 2.789 * [backup-simplify]: Simplify PI into PI 2.790 * [backup-simplify]: Simplify (log PI) into (log PI) 2.790 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.791 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.791 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.792 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.793 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.794 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.794 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.794 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.794 * [taylor]: Taking taylor expansion of 1.0 in n 2.795 * [backup-simplify]: Simplify 1.0 into 1.0 2.795 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.796 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 2.797 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 2.798 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 2.799 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.800 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.801 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.802 * [backup-simplify]: Simplify (- 0) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.803 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.804 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.807 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) 0) (+ (* (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0) (* (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (sqrt 1.0)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 2)))) 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.812 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI)))))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 2.812 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.812 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.812 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 2.812 * [taylor]: Taking taylor expansion of +nan.0 in n 2.812 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.812 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 2.813 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.813 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.813 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.813 * [taylor]: Taking taylor expansion of 0.5 in n 2.813 * [backup-simplify]: Simplify 0.5 into 0.5 2.813 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.813 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.813 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.813 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.813 * [taylor]: Taking taylor expansion of 1.0 in n 2.813 * [backup-simplify]: Simplify 1.0 into 1.0 2.813 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.813 * [taylor]: Taking taylor expansion of 2.0 in n 2.813 * [backup-simplify]: Simplify 2.0 into 2.0 2.813 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.814 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.814 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.814 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.814 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.814 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.814 * [taylor]: Taking taylor expansion of 1.0 in n 2.814 * [backup-simplify]: Simplify 1.0 into 1.0 2.814 * [taylor]: Taking taylor expansion of (log n) in n 2.815 * [taylor]: Taking taylor expansion of n in n 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (log 1) into 0 2.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.815 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.815 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.815 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.815 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.815 * [taylor]: Taking taylor expansion of 1.0 in n 2.815 * [backup-simplify]: Simplify 1.0 into 1.0 2.815 * [taylor]: Taking taylor expansion of (log PI) in n 2.815 * [taylor]: Taking taylor expansion of PI in n 2.815 * [backup-simplify]: Simplify PI into PI 2.816 * [backup-simplify]: Simplify (log PI) into (log PI) 2.816 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.817 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.817 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.818 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.819 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.820 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.820 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.820 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.821 * [taylor]: Taking taylor expansion of 1.0 in n 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.821 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.821 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.821 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.821 * [taylor]: Taking taylor expansion of +nan.0 in n 2.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.821 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.821 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (sqrt 1.0)) in n 2.821 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.821 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.821 * [taylor]: Taking taylor expansion of 2.0 in n 2.821 * [backup-simplify]: Simplify 2.0 into 2.0 2.821 * [taylor]: Taking taylor expansion of (* n PI) in n 2.821 * [taylor]: Taking taylor expansion of n in n 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [taylor]: Taking taylor expansion of PI in n 2.821 * [backup-simplify]: Simplify PI into PI 2.822 * [backup-simplify]: Simplify (* 0 PI) into 0 2.822 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.824 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.824 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.824 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.824 * [taylor]: Taking taylor expansion of 1.0 in n 2.824 * [backup-simplify]: Simplify 1.0 into 1.0 2.824 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.825 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.825 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.825 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.825 * [taylor]: Taking taylor expansion of 0.5 in n 2.825 * [backup-simplify]: Simplify 0.5 into 0.5 2.825 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.825 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.825 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.825 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.825 * [taylor]: Taking taylor expansion of 1.0 in n 2.825 * [backup-simplify]: Simplify 1.0 into 1.0 2.825 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.825 * [taylor]: Taking taylor expansion of 2.0 in n 2.825 * [backup-simplify]: Simplify 2.0 into 2.0 2.825 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.826 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.827 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.827 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.827 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.827 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.827 * [taylor]: Taking taylor expansion of 1.0 in n 2.827 * [backup-simplify]: Simplify 1.0 into 1.0 2.827 * [taylor]: Taking taylor expansion of (log n) in n 2.827 * [taylor]: Taking taylor expansion of n in n 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (log 1) into 0 2.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.827 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.828 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.828 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.828 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.828 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.828 * [taylor]: Taking taylor expansion of 1.0 in n 2.828 * [backup-simplify]: Simplify 1.0 into 1.0 2.828 * [taylor]: Taking taylor expansion of (log PI) in n 2.828 * [taylor]: Taking taylor expansion of PI in n 2.828 * [backup-simplify]: Simplify PI into PI 2.828 * [backup-simplify]: Simplify (log PI) into (log PI) 2.828 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.829 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.830 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.831 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.831 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.832 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.833 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.834 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 2.835 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 2.836 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.837 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) into (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) 2.839 * [backup-simplify]: Simplify (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.840 * [backup-simplify]: Simplify (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.842 * [backup-simplify]: Simplify (- (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 2.847 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 2.855 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 2.860 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 2.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.861 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.862 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.863 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.863 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.864 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 2.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.866 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.866 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 2.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 2.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 2.871 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.872 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (sqrt 1.0))) into 0 2.873 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into 0 2.873 * [backup-simplify]: Simplify (- 0) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.875 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.875 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.877 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.877 * [backup-simplify]: Simplify (- 0) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.880 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.883 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) 0) (+ (* (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0) (+ (* (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0) (* (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (sqrt 1.0))))) into (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 3))))) 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.891 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 3)))))) (+ (* +nan.0 (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (- (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log (* 2.0 (* n PI)))))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 2.891 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 2.891 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 2.891 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 2.891 * [taylor]: Taking taylor expansion of +nan.0 in n 2.891 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.891 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 2.891 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.891 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.891 * [taylor]: Taking taylor expansion of 0.5 in n 2.891 * [backup-simplify]: Simplify 0.5 into 0.5 2.891 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.891 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.891 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.891 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.891 * [taylor]: Taking taylor expansion of 1.0 in n 2.891 * [backup-simplify]: Simplify 1.0 into 1.0 2.891 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.891 * [taylor]: Taking taylor expansion of 2.0 in n 2.891 * [backup-simplify]: Simplify 2.0 into 2.0 2.891 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.892 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.893 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.893 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.893 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.893 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.893 * [taylor]: Taking taylor expansion of 1.0 in n 2.893 * [backup-simplify]: Simplify 1.0 into 1.0 2.893 * [taylor]: Taking taylor expansion of (log n) in n 2.893 * [taylor]: Taking taylor expansion of n in n 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (log 1) into 0 2.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.894 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.894 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.894 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.894 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.894 * [taylor]: Taking taylor expansion of 1.0 in n 2.894 * [backup-simplify]: Simplify 1.0 into 1.0 2.894 * [taylor]: Taking taylor expansion of (log PI) in n 2.894 * [taylor]: Taking taylor expansion of PI in n 2.894 * [backup-simplify]: Simplify PI into PI 2.894 * [backup-simplify]: Simplify (log PI) into (log PI) 2.895 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.896 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.896 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.897 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.897 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.898 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.899 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.899 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.899 * [taylor]: Taking taylor expansion of 1.0 in n 2.899 * [backup-simplify]: Simplify 1.0 into 1.0 2.899 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.900 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.900 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.900 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.900 * [taylor]: Taking taylor expansion of +nan.0 in n 2.900 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.900 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.900 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (sqrt 1.0)) in n 2.900 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.900 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.900 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.900 * [taylor]: Taking taylor expansion of 2.0 in n 2.900 * [backup-simplify]: Simplify 2.0 into 2.0 2.900 * [taylor]: Taking taylor expansion of (* n PI) in n 2.900 * [taylor]: Taking taylor expansion of n in n 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of PI in n 2.900 * [backup-simplify]: Simplify PI into PI 2.900 * [backup-simplify]: Simplify (* 0 PI) into 0 2.901 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.901 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.902 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.903 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.904 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.904 * [taylor]: Taking taylor expansion of 1.0 in n 2.904 * [backup-simplify]: Simplify 1.0 into 1.0 2.904 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.904 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.904 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.904 * [taylor]: Taking taylor expansion of 0.5 in n 2.904 * [backup-simplify]: Simplify 0.5 into 0.5 2.905 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.905 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.905 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.905 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.905 * [taylor]: Taking taylor expansion of 1.0 in n 2.905 * [backup-simplify]: Simplify 1.0 into 1.0 2.905 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.905 * [taylor]: Taking taylor expansion of 2.0 in n 2.905 * [backup-simplify]: Simplify 2.0 into 2.0 2.905 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.906 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.907 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.907 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.907 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.907 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.907 * [taylor]: Taking taylor expansion of 1.0 in n 2.907 * [backup-simplify]: Simplify 1.0 into 1.0 2.907 * [taylor]: Taking taylor expansion of (log n) in n 2.907 * [taylor]: Taking taylor expansion of n in n 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (log 1) into 0 2.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.907 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.907 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.907 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.907 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.907 * [taylor]: Taking taylor expansion of 1.0 in n 2.907 * [backup-simplify]: Simplify 1.0 into 1.0 2.907 * [taylor]: Taking taylor expansion of (log PI) in n 2.907 * [taylor]: Taking taylor expansion of PI in n 2.907 * [backup-simplify]: Simplify PI into PI 2.908 * [backup-simplify]: Simplify (log PI) into (log PI) 2.908 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.909 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.910 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.910 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.911 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.912 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.913 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.913 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.913 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.913 * [taylor]: Taking taylor expansion of +nan.0 in n 2.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.913 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.913 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (sqrt 1.0)) in n 2.913 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.913 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.913 * [taylor]: Taking taylor expansion of 2.0 in n 2.913 * [backup-simplify]: Simplify 2.0 into 2.0 2.913 * [taylor]: Taking taylor expansion of (* n PI) in n 2.913 * [taylor]: Taking taylor expansion of n in n 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [taylor]: Taking taylor expansion of PI in n 2.913 * [backup-simplify]: Simplify PI into PI 2.913 * [backup-simplify]: Simplify (* 0 PI) into 0 2.913 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.915 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.916 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.916 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.916 * [taylor]: Taking taylor expansion of 1.0 in n 2.916 * [backup-simplify]: Simplify 1.0 into 1.0 2.916 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.917 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.917 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.917 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.917 * [taylor]: Taking taylor expansion of 0.5 in n 2.917 * [backup-simplify]: Simplify 0.5 into 0.5 2.917 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.917 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.917 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.917 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.917 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.917 * [taylor]: Taking taylor expansion of 1.0 in n 2.917 * [backup-simplify]: Simplify 1.0 into 1.0 2.917 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.917 * [taylor]: Taking taylor expansion of 2.0 in n 2.917 * [backup-simplify]: Simplify 2.0 into 2.0 2.917 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.918 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.918 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.918 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.918 * [taylor]: Taking taylor expansion of 1.0 in n 2.918 * [backup-simplify]: Simplify 1.0 into 1.0 2.918 * [taylor]: Taking taylor expansion of (log n) in n 2.919 * [taylor]: Taking taylor expansion of n in n 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (log 1) into 0 2.919 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.919 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.919 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.919 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.919 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.919 * [taylor]: Taking taylor expansion of 1.0 in n 2.919 * [backup-simplify]: Simplify 1.0 into 1.0 2.919 * [taylor]: Taking taylor expansion of (log PI) in n 2.919 * [taylor]: Taking taylor expansion of PI in n 2.919 * [backup-simplify]: Simplify PI into PI 2.920 * [backup-simplify]: Simplify (log PI) into (log PI) 2.920 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.921 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.921 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.922 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.923 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.924 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.924 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.926 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 2.927 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 2.927 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.929 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.930 * [backup-simplify]: Simplify (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) 2.932 * [backup-simplify]: Simplify (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.934 * [backup-simplify]: Simplify (* +nan.0 (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.935 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.935 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) into (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) 2.937 * [backup-simplify]: Simplify (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.939 * [backup-simplify]: Simplify (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.941 * [backup-simplify]: Simplify (- (* +nan.0 (* (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 2.950 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) 2.961 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) 2.972 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 2.984 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 2.996 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))))))))) 3.016 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) (* 1 k)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (sqrt 1.0) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))))))))))))))))))))) 3.017 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 3.017 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.017 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.017 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.017 * [taylor]: Taking taylor expansion of k in n 3.017 * [backup-simplify]: Simplify k into k 3.017 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.017 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.017 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.017 * [taylor]: Taking taylor expansion of 1.0 in n 3.017 * [backup-simplify]: Simplify 1.0 into 1.0 3.017 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.017 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.018 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.018 * [taylor]: Taking taylor expansion of 0.5 in n 3.018 * [backup-simplify]: Simplify 0.5 into 0.5 3.018 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.018 * [taylor]: Taking taylor expansion of 1.0 in n 3.018 * [backup-simplify]: Simplify 1.0 into 1.0 3.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.018 * [taylor]: Taking taylor expansion of k in n 3.018 * [backup-simplify]: Simplify k into k 3.018 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.018 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.018 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.018 * [taylor]: Taking taylor expansion of 2.0 in n 3.018 * [backup-simplify]: Simplify 2.0 into 2.0 3.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.018 * [taylor]: Taking taylor expansion of PI in n 3.018 * [backup-simplify]: Simplify PI into PI 3.018 * [taylor]: Taking taylor expansion of n in n 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (/ PI 1) into PI 3.018 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.019 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.019 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.019 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.019 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.021 * [backup-simplify]: Simplify (* (* 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 (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.021 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.021 * [taylor]: Taking taylor expansion of k in k 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (sqrt 0) into 0 3.023 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.023 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.023 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.023 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.023 * [taylor]: Taking taylor expansion of 0.5 in k 3.023 * [backup-simplify]: Simplify 0.5 into 0.5 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 3.024 * [taylor]: Taking taylor expansion of k in k 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.024 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.024 * [taylor]: Taking taylor expansion of 2.0 in k 3.024 * [backup-simplify]: Simplify 2.0 into 2.0 3.024 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.024 * [taylor]: Taking taylor expansion of PI in k 3.024 * [backup-simplify]: Simplify PI into PI 3.024 * [taylor]: Taking taylor expansion of n in k 3.024 * [backup-simplify]: Simplify n into n 3.024 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.024 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.024 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.024 * [backup-simplify]: Simplify (- 1) into -1 3.025 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.025 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.025 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.025 * [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))))) 3.025 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.025 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.025 * [taylor]: Taking taylor expansion of k in k 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (sqrt 0) into 0 3.026 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.026 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.026 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.026 * [taylor]: Taking taylor expansion of 1.0 in k 3.026 * [backup-simplify]: Simplify 1.0 into 1.0 3.026 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.027 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.027 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.027 * [taylor]: Taking taylor expansion of 0.5 in k 3.027 * [backup-simplify]: Simplify 0.5 into 0.5 3.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.027 * [taylor]: Taking taylor expansion of 1.0 in k 3.027 * [backup-simplify]: Simplify 1.0 into 1.0 3.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.027 * [taylor]: Taking taylor expansion of k in k 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (/ 1 1) into 1 3.027 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.027 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.027 * [taylor]: Taking taylor expansion of 2.0 in k 3.027 * [backup-simplify]: Simplify 2.0 into 2.0 3.027 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.027 * [taylor]: Taking taylor expansion of PI in k 3.027 * [backup-simplify]: Simplify PI into PI 3.027 * [taylor]: Taking taylor expansion of n in k 3.027 * [backup-simplify]: Simplify n into n 3.027 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.027 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.027 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.028 * [backup-simplify]: Simplify (- 1) into -1 3.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.028 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.028 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.028 * [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))))) 3.029 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) 3.029 * [backup-simplify]: Simplify (* 0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0 3.029 * [taylor]: Taking taylor expansion of 0 in n 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0 3.030 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 3.030 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 3.031 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.031 * [taylor]: Taking taylor expansion of +nan.0 in n 3.031 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.031 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.031 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.031 * [taylor]: Taking taylor expansion of 1.0 in n 3.031 * [backup-simplify]: Simplify 1.0 into 1.0 3.031 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.031 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.031 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.031 * [taylor]: Taking taylor expansion of 0.5 in n 3.031 * [backup-simplify]: Simplify 0.5 into 0.5 3.031 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.031 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.031 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.031 * [taylor]: Taking taylor expansion of 2.0 in n 3.031 * [backup-simplify]: Simplify 2.0 into 2.0 3.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.031 * [taylor]: Taking taylor expansion of PI in n 3.031 * [backup-simplify]: Simplify PI into PI 3.031 * [taylor]: Taking taylor expansion of n in n 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (/ PI 1) into PI 3.032 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.036 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.036 * [taylor]: Taking taylor expansion of 1.0 in n 3.036 * [backup-simplify]: Simplify 1.0 into 1.0 3.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.036 * [taylor]: Taking taylor expansion of k in n 3.036 * [backup-simplify]: Simplify k into k 3.036 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.037 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.037 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.038 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.039 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.039 * [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))))) 3.040 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.041 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.042 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.043 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.044 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into 0 3.046 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 3.047 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 3.047 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.047 * [taylor]: Taking taylor expansion of +nan.0 in n 3.047 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.047 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.047 * [taylor]: Taking taylor expansion of 1.0 in n 3.047 * [backup-simplify]: Simplify 1.0 into 1.0 3.047 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.048 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.048 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.048 * [taylor]: Taking taylor expansion of 0.5 in n 3.048 * [backup-simplify]: Simplify 0.5 into 0.5 3.048 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.048 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.048 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.048 * [taylor]: Taking taylor expansion of 2.0 in n 3.048 * [backup-simplify]: Simplify 2.0 into 2.0 3.048 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.048 * [taylor]: Taking taylor expansion of PI in n 3.048 * [backup-simplify]: Simplify PI into PI 3.048 * [taylor]: Taking taylor expansion of n in n 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (/ PI 1) into PI 3.049 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.050 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.050 * [taylor]: Taking taylor expansion of 1.0 in n 3.050 * [backup-simplify]: Simplify 1.0 into 1.0 3.050 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.050 * [taylor]: Taking taylor expansion of k in n 3.050 * [backup-simplify]: Simplify k into k 3.050 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.051 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.051 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.051 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.051 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.052 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.053 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.054 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.055 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.055 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.057 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.058 * [backup-simplify]: Simplify (- 0) into 0 3.058 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.061 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 3.063 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.064 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 3.065 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 3.065 * [backup-simplify]: Simplify (- 0) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.067 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0 3.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) 3.070 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 3.070 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.070 * [taylor]: Taking taylor expansion of +nan.0 in n 3.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.070 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.070 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.070 * [taylor]: Taking taylor expansion of 1.0 in n 3.070 * [backup-simplify]: Simplify 1.0 into 1.0 3.070 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.071 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.071 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.071 * [taylor]: Taking taylor expansion of 0.5 in n 3.071 * [backup-simplify]: Simplify 0.5 into 0.5 3.071 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.071 * [taylor]: Taking taylor expansion of 2.0 in n 3.071 * [backup-simplify]: Simplify 2.0 into 2.0 3.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.071 * [taylor]: Taking taylor expansion of PI in n 3.071 * [backup-simplify]: Simplify PI into PI 3.071 * [taylor]: Taking taylor expansion of n in n 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (/ PI 1) into PI 3.072 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.072 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.072 * [taylor]: Taking taylor expansion of 1.0 in n 3.072 * [backup-simplify]: Simplify 1.0 into 1.0 3.072 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.072 * [taylor]: Taking taylor expansion of k in n 3.072 * [backup-simplify]: Simplify k into k 3.072 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.073 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.073 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.074 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.075 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.075 * [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))))) 3.076 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.077 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.078 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.079 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) 3.083 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (sqrt 1.0) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) (pow k 3)))))))) 3.083 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) 3.083 * [approximate]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 3.084 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.084 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in n 3.084 * [taylor]: Taking taylor expansion of (* -1.0 k) in n 3.084 * [taylor]: Taking taylor expansion of -1.0 in n 3.084 * [backup-simplify]: Simplify -1.0 into -1.0 3.084 * [taylor]: Taking taylor expansion of k in n 3.084 * [backup-simplify]: Simplify k into k 3.084 * [backup-simplify]: Simplify (* -1.0 k) into (* -1.0 k) 3.084 * [backup-simplify]: Simplify (sqrt (* -1.0 k)) into (sqrt (* -1.0 k)) 3.084 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 k)) into 0 3.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1.0 k)))) into 0 3.084 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.084 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.084 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.084 * [taylor]: Taking taylor expansion of 0.5 in n 3.084 * [backup-simplify]: Simplify 0.5 into 0.5 3.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.084 * [taylor]: Taking taylor expansion of k in n 3.084 * [backup-simplify]: Simplify k into k 3.084 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.084 * [taylor]: Taking taylor expansion of 1.0 in n 3.084 * [backup-simplify]: Simplify 1.0 into 1.0 3.084 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.084 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.084 * [taylor]: Taking taylor expansion of -2.0 in n 3.084 * [backup-simplify]: Simplify -2.0 into -2.0 3.084 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.084 * [taylor]: Taking taylor expansion of PI in n 3.084 * [backup-simplify]: Simplify PI into PI 3.084 * [taylor]: Taking taylor expansion of n in n 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (/ PI 1) into PI 3.085 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.086 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.086 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.086 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.087 * [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)))) 3.088 * [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))))) 3.088 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.088 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.088 * [taylor]: Taking taylor expansion of (* -1.0 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 k in k 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.089 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.089 * [backup-simplify]: Simplify (sqrt 0) into 0 3.090 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.090 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.090 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.090 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.090 * [taylor]: Taking taylor expansion of 0.5 in k 3.090 * [backup-simplify]: Simplify 0.5 into 0.5 3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.091 * [taylor]: Taking taylor expansion of k in k 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.091 * [taylor]: Taking taylor expansion of 1.0 in k 3.091 * [backup-simplify]: Simplify 1.0 into 1.0 3.091 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.091 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.091 * [taylor]: Taking taylor expansion of -2.0 in k 3.091 * [backup-simplify]: Simplify -2.0 into -2.0 3.091 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.091 * [taylor]: Taking taylor expansion of PI in k 3.091 * [backup-simplify]: Simplify PI into PI 3.091 * [taylor]: Taking taylor expansion of n in k 3.091 * [backup-simplify]: Simplify n into n 3.091 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.091 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.091 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.091 * [backup-simplify]: Simplify (+ 1 0) into 1 3.092 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.092 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.092 * [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)))))) 3.092 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.092 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.092 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 3.092 * [taylor]: Taking taylor expansion of -1.0 in k 3.092 * [backup-simplify]: Simplify -1.0 into -1.0 3.092 * [taylor]: Taking taylor expansion of k in k 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.093 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.093 * [backup-simplify]: Simplify (sqrt 0) into 0 3.094 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.094 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.094 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.094 * [taylor]: Taking taylor expansion of 0.5 in k 3.094 * [backup-simplify]: Simplify 0.5 into 0.5 3.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.094 * [taylor]: Taking taylor expansion of k in k 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of 1.0 in k 3.095 * [backup-simplify]: Simplify 1.0 into 1.0 3.095 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.095 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.095 * [taylor]: Taking taylor expansion of -2.0 in k 3.095 * [backup-simplify]: Simplify -2.0 into -2.0 3.095 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.095 * [taylor]: Taking taylor expansion of PI in k 3.095 * [backup-simplify]: Simplify PI into PI 3.095 * [taylor]: Taking taylor expansion of n in k 3.095 * [backup-simplify]: Simplify n into n 3.095 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.095 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.095 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.095 * [backup-simplify]: Simplify (+ 1 0) into 1 3.096 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.096 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.096 * [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)))))) 3.096 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into 0 3.096 * [taylor]: Taking taylor expansion of 0 in n 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.096 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.096 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.097 * [taylor]: Taking taylor expansion of +nan.0 in n 3.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.097 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.097 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.097 * [taylor]: Taking taylor expansion of 0.5 in n 3.097 * [backup-simplify]: Simplify 0.5 into 0.5 3.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.097 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.097 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.097 * [taylor]: Taking taylor expansion of k in n 3.097 * [backup-simplify]: Simplify k into k 3.097 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.097 * [taylor]: Taking taylor expansion of 1.0 in n 3.097 * [backup-simplify]: Simplify 1.0 into 1.0 3.097 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.097 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.097 * [taylor]: Taking taylor expansion of -2.0 in n 3.097 * [backup-simplify]: Simplify -2.0 into -2.0 3.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.097 * [taylor]: Taking taylor expansion of PI in n 3.097 * [backup-simplify]: Simplify PI into PI 3.097 * [taylor]: Taking taylor expansion of n in n 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ PI 1) into PI 3.097 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.098 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.098 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.100 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.100 * [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)))) 3.101 * [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))))) 3.102 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.102 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.103 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.103 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.105 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.106 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.106 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.106 * [taylor]: Taking taylor expansion of +nan.0 in n 3.106 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.106 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.106 * [taylor]: Taking taylor expansion of 0.5 in n 3.106 * [backup-simplify]: Simplify 0.5 into 0.5 3.106 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.106 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.107 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.107 * [taylor]: Taking taylor expansion of k in n 3.107 * [backup-simplify]: Simplify k into k 3.107 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.107 * [taylor]: Taking taylor expansion of 1.0 in n 3.107 * [backup-simplify]: Simplify 1.0 into 1.0 3.107 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.107 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.107 * [taylor]: Taking taylor expansion of -2.0 in n 3.107 * [backup-simplify]: Simplify -2.0 into -2.0 3.107 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.107 * [taylor]: Taking taylor expansion of PI in n 3.107 * [backup-simplify]: Simplify PI into PI 3.107 * [taylor]: Taking taylor expansion of n in n 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (/ PI 1) into PI 3.107 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.108 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.108 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.110 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.110 * [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)))) 3.111 * [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))))) 3.112 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.112 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.113 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.117 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.119 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.120 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.120 * [backup-simplify]: Simplify (- 0) into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.124 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.124 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.124 * [taylor]: Taking taylor expansion of +nan.0 in n 3.124 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.124 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.124 * [taylor]: Taking taylor expansion of 0.5 in n 3.124 * [backup-simplify]: Simplify 0.5 into 0.5 3.124 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.124 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.124 * [taylor]: Taking taylor expansion of k in n 3.124 * [backup-simplify]: Simplify k into k 3.124 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.124 * [taylor]: Taking taylor expansion of 1.0 in n 3.124 * [backup-simplify]: Simplify 1.0 into 1.0 3.124 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.124 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.124 * [taylor]: Taking taylor expansion of -2.0 in n 3.124 * [backup-simplify]: Simplify -2.0 into -2.0 3.124 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.124 * [taylor]: Taking taylor expansion of PI in n 3.124 * [backup-simplify]: Simplify PI into PI 3.124 * [taylor]: Taking taylor expansion of n in n 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (/ PI 1) into PI 3.125 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.125 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.126 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.126 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.127 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.131 * [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)))) 3.132 * [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))))) 3.133 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.134 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.134 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.137 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 3)))))))) 3.137 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.138 * [backup-simplify]: Simplify (sqrt (/ (* 1.0 1.0) k)) into (* (sqrt (/ 1 k)) (sqrt 1.0)) 3.138 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (sqrt 1.0)) in (k) around 0 3.138 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (sqrt 1.0)) in k 3.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.138 * [taylor]: Taking taylor expansion of k in k 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (/ 1 1) into 1 3.138 * [backup-simplify]: Simplify (sqrt 0) into 0 3.139 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.139 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.139 * [taylor]: Taking taylor expansion of 1.0 in k 3.139 * [backup-simplify]: Simplify 1.0 into 1.0 3.139 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.140 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (sqrt 1.0)) in k 3.140 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.140 * [taylor]: Taking taylor expansion of k in k 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [backup-simplify]: Simplify (sqrt 0) into 0 3.141 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.141 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.141 * [taylor]: Taking taylor expansion of 1.0 in k 3.141 * [backup-simplify]: Simplify 1.0 into 1.0 3.141 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.142 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.144 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 3.150 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 3.156 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.159 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow k 2)) (+ (* (- (* +nan.0 (sqrt 1.0))) k) (- (* +nan.0 (sqrt 1.0))))) into (- (+ (* +nan.0 (* k (sqrt 1.0))) (- (+ (* +nan.0 (* (pow k 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) 3.160 * [backup-simplify]: Simplify (sqrt (/ (* 1.0 1.0) (/ 1 k))) into (* (sqrt k) (sqrt 1.0)) 3.160 * [approximate]: Taking taylor expansion of (* (sqrt k) (sqrt 1.0)) in (k) around 0 3.160 * [taylor]: Taking taylor expansion of (* (sqrt k) (sqrt 1.0)) in k 3.160 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.160 * [taylor]: Taking taylor expansion of k in k 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (sqrt 0) into 0 3.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.161 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.161 * [taylor]: Taking taylor expansion of 1.0 in k 3.161 * [backup-simplify]: Simplify 1.0 into 1.0 3.161 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.161 * [taylor]: Taking taylor expansion of (* (sqrt k) (sqrt 1.0)) in k 3.161 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.161 * [taylor]: Taking taylor expansion of k in k 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.162 * [backup-simplify]: Simplify (sqrt 0) into 0 3.162 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.162 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.162 * [taylor]: Taking taylor expansion of 1.0 in k 3.162 * [backup-simplify]: Simplify 1.0 into 1.0 3.163 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.163 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.165 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.168 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 3.170 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 3.176 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 3.179 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (sqrt 1.0))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow k 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow k 3))) (- (* +nan.0 (/ (sqrt 1.0) k))))))) 3.180 * [backup-simplify]: Simplify (sqrt (/ (* 1.0 1.0) (/ 1 (- k)))) into (sqrt (* -1.0 k)) 3.180 * [approximate]: Taking taylor expansion of (sqrt (* -1.0 k)) in (k) around 0 3.180 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.180 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 3.180 * [taylor]: Taking taylor expansion of -1.0 in k 3.180 * [backup-simplify]: Simplify -1.0 into -1.0 3.180 * [taylor]: Taking taylor expansion of k in k 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 1 into 1 3.180 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.181 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.181 * [backup-simplify]: Simplify (sqrt 0) into 0 3.182 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.182 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 3.182 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 3.182 * [taylor]: Taking taylor expansion of -1.0 in k 3.182 * [backup-simplify]: Simplify -1.0 into -1.0 3.182 * [taylor]: Taking taylor expansion of k in k 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [backup-simplify]: Simplify (* -1.0 0) into 0 3.183 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 3.184 * [backup-simplify]: Simplify (sqrt 0) into 0 3.184 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.185 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.187 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.187 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.187 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.190 * [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)))))))) 3.190 * * * [progress]: simplifying candidates 3.192 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (sqrt (/ (* 1.0 1.0) k)) (sqrt (/ (* 1.0 1.0) k))) (sqrt (/ (* 1.0 1.0) k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (* 1.0 1.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 1.0) k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (/ (* 1.0 1.0) k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) 1) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (sqrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (cbrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1 k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (* 1.0 1.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (sqrt (/ (* 1.0 1.0) k))) (exp (sqrt (/ (* 1.0 1.0) k))) (* (cbrt (sqrt (/ (* 1.0 1.0) k))) (cbrt (sqrt (/ (* 1.0 1.0) k)))) (cbrt (sqrt (/ (* 1.0 1.0) k))) (* (* (sqrt (/ (* 1.0 1.0) k)) (sqrt (/ (* 1.0 1.0) k))) (sqrt (/ (* 1.0 1.0) k))) (sqrt (* (cbrt (/ (* 1.0 1.0) k)) (cbrt (/ (* 1.0 1.0) k)))) (sqrt (cbrt (/ (* 1.0 1.0) k))) (sqrt (sqrt (/ (* 1.0 1.0) k))) (sqrt (sqrt (/ (* 1.0 1.0) k))) (sqrt (/ 1.0 (* (cbrt k) (cbrt k)))) (sqrt (/ 1.0 (cbrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 1)) (sqrt (/ 1.0 k)) (sqrt 1) (sqrt (/ (* 1.0 1.0) k)) (sqrt (* 1.0 1.0)) (sqrt (/ 1 k)) (sqrt (* 1.0 1.0)) (sqrt k) (/ 1 2) (sqrt (sqrt (/ (* 1.0 1.0) k))) (sqrt (sqrt (/ (* 1.0 1.0) k))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (sqrt 1.0) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (sqrt 1.0)) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (* k (sqrt 1.0))) (- (+ (* +nan.0 (* (pow k 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow k 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow k 3))) (- (* +nan.0 (/ (sqrt 1.0) k))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 3.193 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0)) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ h2 h0)) (pow (* (* h0 h4) h3) (/ h1 h0)) (pow (* (* h0 h4) h3) (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow (* (* h0 h4) h3) (sqrt (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (- h2 h1)) (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (exp (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (* (* h0 h4) h3) (* (* h0 h4) h3) (+ (+ (log h0) (log h4)) (log h3)) (+ (log (* h0 h4)) (log h3)) (log (* (* h0 h4) h3)) (exp (* (* h0 h4) h3)) (* (* (* (* h0 h0) h0) (* (* h4 h4) h4)) (* (* h3 h3) h3)) (* (* (* (* h0 h4) (* h0 h4)) (* h0 h4)) (* (* h3 h3) h3)) (* (cbrt (* (* h0 h4) h3)) (cbrt (* (* h0 h4) h3))) (cbrt (* (* h0 h4) h3)) (* (* (* (* h0 h4) h3) (* (* h0 h4) h3)) (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (* (* h0 h4) (* (cbrt h3) (cbrt h3))) (* (* h0 h4) (sqrt h3)) (* (* h0 h4) 1) (* h4 h3) (+ (log (sqrt (/ (* h2 h2) h1))) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (sqrt (/ (* h2 h2) h1))) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (sqrt (/ (* h2 h2) h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (sqrt (/ (* h2 h2) h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (sqrt (/ (* h2 h2) h1))) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (log (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (exp (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (sqrt (/ (* h2 h2) h1)) (sqrt (/ (* h2 h2) h1))) (sqrt (/ (* h2 h2) h1))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (cbrt (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (cbrt (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (* h2 h2)) (pow (* (* h0 h4) h3) (/ h2 h0))) (* (sqrt h1) (pow (* (* h0 h4) h3) (/ h1 h0))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (/ (* h2 h2) h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (* (sqrt (/ (* h2 h2) h1)) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ (* h2 h2) h1)) 1) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (cbrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (cbrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ 1 h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* (* h0 h4) h3) (/ h2 h0))) (* (sqrt (* h2 h2)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (log (sqrt (/ (* h2 h2) h1))) (exp (sqrt (/ (* h2 h2) h1))) (* (cbrt (sqrt (/ (* h2 h2) h1))) (cbrt (sqrt (/ (* h2 h2) h1)))) (cbrt (sqrt (/ (* h2 h2) h1))) (* (* (sqrt (/ (* h2 h2) h1)) (sqrt (/ (* h2 h2) h1))) (sqrt (/ (* h2 h2) h1))) (sqrt (* (cbrt (/ (* h2 h2) h1)) (cbrt (/ (* h2 h2) h1)))) (sqrt (cbrt (/ (* h2 h2) h1))) (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (/ h2 (* (cbrt h1) (cbrt h1)))) (sqrt (/ h2 (cbrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 1)) (sqrt (/ h2 h1)) (sqrt 1) (sqrt (/ (* h2 h2) h1)) (sqrt (* h2 h2)) (sqrt (/ 1 h1)) (sqrt (* h2 h2)) (sqrt h1) (/ 1 2) (sqrt (sqrt (/ (* h2 h2) h1))) (sqrt (sqrt (/ (* h2 h2) h1))) (- (+ (* h7 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h7 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2)))) (+ (* h6 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h5 (* h1 (* (log (* h0 h4)) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (* h5 (* h1 (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3)))))) (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (- (+ (* h9 (* (* h1 (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (sqrt h2))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* h1 (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (sqrt h2) (* (pow h1 2) (* (log (* h0 h4)) (log h3)))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* h1 (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (sqrt h2) (pow (log h3) 2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (* h9 (* (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5) (sqrt h2)))))))))))))))))))))) (- (+ (* h9 (/ (* (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (sqrt h2)) (pow h1 2))) (- (+ (* h9 (/ (* (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (sqrt h2)) h1)) (- (* h9 (/ (* (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (sqrt h2)) (pow h1 3)))))))) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) h1)) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (pow h1 2))) (- (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (pow h1 3)))))))) (- (+ (* h9 (* h1 (sqrt h2))) (- (+ (* h9 (* (pow h1 2) (sqrt h2))) (- (* h9 (sqrt h2))))))) (- (+ (* h9 (/ (sqrt h2) (pow h1 2))) (- (+ (* h9 (/ (sqrt h2) (pow h1 3))) (- (* h9 (/ (sqrt h2) h1))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) 3.201 * * [simplify]: iteration 0 : 881 enodes (cost 1210 ) 3.216 * * [simplify]: iteration 1 : 3616 enodes (cost 1129 ) 3.276 * * [simplify]: iteration 2 : 5002 enodes (cost 1124 ) 3.281 * * * [progress]: adding candidates to table 3.613 * * [progress]: iteration 4 / 4 3.613 * * * [progress]: picking best candidate 3.644 * * * * [pick]: Picked # 3.644 * * * [progress]: localizing error 3.661 * * * [progress]: generating rewritten candidates 3.661 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.669 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.680 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.703 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.776 * * * [progress]: generating series expansions 3.776 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.776 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 3.776 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 3.776 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.777 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.777 * [taylor]: Taking taylor expansion of 0.5 in k 3.777 * [backup-simplify]: Simplify 0.5 into 0.5 3.777 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.777 * [taylor]: Taking taylor expansion of 1.0 in k 3.777 * [backup-simplify]: Simplify 1.0 into 1.0 3.777 * [taylor]: Taking taylor expansion of k in k 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [taylor]: Taking taylor expansion of (log n) in k 3.777 * [taylor]: Taking taylor expansion of n in k 3.777 * [backup-simplify]: Simplify n into n 3.777 * [backup-simplify]: Simplify (log n) into (log n) 3.777 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.778 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.778 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 3.778 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 3.778 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.778 * [taylor]: Taking taylor expansion of 0.5 in n 3.778 * [backup-simplify]: Simplify 0.5 into 0.5 3.778 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.778 * [taylor]: Taking taylor expansion of 1.0 in n 3.778 * [backup-simplify]: Simplify 1.0 into 1.0 3.778 * [taylor]: Taking taylor expansion of k in n 3.778 * [backup-simplify]: Simplify k into k 3.778 * [taylor]: Taking taylor expansion of (log n) in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (log 1) into 0 3.778 * [backup-simplify]: Simplify (- k) into (- k) 3.779 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.779 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.779 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.779 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 3.779 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 3.779 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.779 * [taylor]: Taking taylor expansion of 0.5 in n 3.779 * [backup-simplify]: Simplify 0.5 into 0.5 3.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.779 * [taylor]: Taking taylor expansion of 1.0 in n 3.779 * [backup-simplify]: Simplify 1.0 into 1.0 3.779 * [taylor]: Taking taylor expansion of k in n 3.779 * [backup-simplify]: Simplify k into k 3.779 * [taylor]: Taking taylor expansion of (log n) in n 3.779 * [taylor]: Taking taylor expansion of n in n 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (log 1) into 0 3.780 * [backup-simplify]: Simplify (- k) into (- k) 3.780 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.780 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.780 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.780 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 3.780 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 3.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 3.780 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 3.780 * [taylor]: Taking taylor expansion of 0.5 in k 3.780 * [backup-simplify]: Simplify 0.5 into 0.5 3.780 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.780 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.780 * [taylor]: Taking taylor expansion of 1.0 in k 3.780 * [backup-simplify]: Simplify 1.0 into 1.0 3.780 * [taylor]: Taking taylor expansion of k in k 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [taylor]: Taking taylor expansion of (log n) in k 3.780 * [taylor]: Taking taylor expansion of n in k 3.780 * [backup-simplify]: Simplify n into n 3.780 * [backup-simplify]: Simplify (log n) into (log n) 3.781 * [backup-simplify]: Simplify (- 0) into 0 3.781 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.781 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.781 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 3.781 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 3.781 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 3.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.782 * [backup-simplify]: Simplify (- 0) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.783 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 3.784 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.784 * [taylor]: Taking taylor expansion of 0 in k 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.784 * [backup-simplify]: Simplify (- 1) into -1 3.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.785 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 3.785 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 3.785 * [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))) 3.785 * [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))) 3.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.787 * [backup-simplify]: Simplify (- 0) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.788 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 3.789 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.790 * [taylor]: Taking taylor expansion of 0 in k 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.791 * [backup-simplify]: Simplify (- 0) into 0 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 3.793 * [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))) 3.793 * [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))) 3.793 * [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)))) 3.794 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 3.794 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.794 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.794 * [taylor]: Taking taylor expansion of 0.5 in k 3.794 * [backup-simplify]: Simplify 0.5 into 0.5 3.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.794 * [taylor]: Taking taylor expansion of 1.0 in k 3.794 * [backup-simplify]: Simplify 1.0 into 1.0 3.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.794 * [taylor]: Taking taylor expansion of k in k 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify 1 into 1 3.794 * [backup-simplify]: Simplify (/ 1 1) into 1 3.794 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.794 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.794 * [taylor]: Taking taylor expansion of n in k 3.794 * [backup-simplify]: Simplify n into n 3.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.794 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 3.794 * [backup-simplify]: Simplify (- 1) into -1 3.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.795 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.795 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 3.795 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 3.795 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.795 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.795 * [taylor]: Taking taylor expansion of 0.5 in n 3.795 * [backup-simplify]: Simplify 0.5 into 0.5 3.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.795 * [taylor]: Taking taylor expansion of 1.0 in n 3.795 * [backup-simplify]: Simplify 1.0 into 1.0 3.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.795 * [taylor]: Taking taylor expansion of k in n 3.795 * [backup-simplify]: Simplify k into k 3.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.795 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.795 * [taylor]: Taking taylor expansion of n in n 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ 1 1) into 1 3.796 * [backup-simplify]: Simplify (log 1) into 0 3.796 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.796 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.796 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.796 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 3.797 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.797 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.797 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.797 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.797 * [taylor]: Taking taylor expansion of 0.5 in n 3.797 * [backup-simplify]: Simplify 0.5 into 0.5 3.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.797 * [taylor]: Taking taylor expansion of 1.0 in n 3.797 * [backup-simplify]: Simplify 1.0 into 1.0 3.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.797 * [taylor]: Taking taylor expansion of k in n 3.797 * [backup-simplify]: Simplify k into k 3.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.797 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.797 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.797 * [taylor]: Taking taylor expansion of n in n 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (/ 1 1) into 1 3.797 * [backup-simplify]: Simplify (log 1) into 0 3.797 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.798 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.798 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.798 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 3.798 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.798 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 3.798 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 3.798 * [taylor]: Taking taylor expansion of -0.5 in k 3.798 * [backup-simplify]: Simplify -0.5 into -0.5 3.798 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.798 * [taylor]: Taking taylor expansion of (log n) in k 3.798 * [taylor]: Taking taylor expansion of n in k 3.798 * [backup-simplify]: Simplify n into n 3.798 * [backup-simplify]: Simplify (log n) into (log n) 3.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.798 * [taylor]: Taking taylor expansion of 1.0 in k 3.798 * [backup-simplify]: Simplify 1.0 into 1.0 3.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.798 * [taylor]: Taking taylor expansion of k in k 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.799 * [backup-simplify]: Simplify (/ 1 1) into 1 3.799 * [backup-simplify]: Simplify (- 1) into -1 3.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.799 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 3.799 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 3.799 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.799 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.801 * [backup-simplify]: Simplify (- 0) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.802 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 3.802 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.802 * [taylor]: Taking taylor expansion of 0 in k 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.805 * [backup-simplify]: Simplify (- 0) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.806 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 3.807 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.807 * [taylor]: Taking taylor expansion of 0 in k 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.810 * [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 3.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.810 * [backup-simplify]: Simplify (- 0) into 0 3.810 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.812 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 3.813 * [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 3.813 * [taylor]: Taking taylor expansion of 0 in k 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 3.813 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 3.813 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.813 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.813 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.813 * [taylor]: Taking taylor expansion of 0.5 in k 3.813 * [backup-simplify]: Simplify 0.5 into 0.5 3.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.813 * [taylor]: Taking taylor expansion of k in k 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.814 * [backup-simplify]: Simplify (/ 1 1) into 1 3.814 * [taylor]: Taking taylor expansion of 1.0 in k 3.814 * [backup-simplify]: Simplify 1.0 into 1.0 3.814 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.814 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.814 * [taylor]: Taking taylor expansion of -1 in k 3.814 * [backup-simplify]: Simplify -1 into -1 3.814 * [taylor]: Taking taylor expansion of n in k 3.814 * [backup-simplify]: Simplify n into n 3.814 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.814 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 3.814 * [backup-simplify]: Simplify (+ 1 0) into 1 3.814 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.815 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 3.815 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 3.815 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.815 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.815 * [taylor]: Taking taylor expansion of 0.5 in n 3.815 * [backup-simplify]: Simplify 0.5 into 0.5 3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.815 * [taylor]: Taking taylor expansion of k in n 3.815 * [backup-simplify]: Simplify k into k 3.815 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.815 * [taylor]: Taking taylor expansion of 1.0 in n 3.815 * [backup-simplify]: Simplify 1.0 into 1.0 3.815 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.815 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.815 * [taylor]: Taking taylor expansion of -1 in n 3.815 * [backup-simplify]: Simplify -1 into -1 3.815 * [taylor]: Taking taylor expansion of n in n 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (/ -1 1) into -1 3.815 * [backup-simplify]: Simplify (log -1) into (log -1) 3.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.816 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.816 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 3.817 * [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)))) 3.817 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.817 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.817 * [taylor]: Taking taylor expansion of 0.5 in n 3.817 * [backup-simplify]: Simplify 0.5 into 0.5 3.817 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.817 * [taylor]: Taking taylor expansion of k in n 3.817 * [backup-simplify]: Simplify k into k 3.817 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.817 * [taylor]: Taking taylor expansion of 1.0 in n 3.817 * [backup-simplify]: Simplify 1.0 into 1.0 3.817 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.817 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.817 * [taylor]: Taking taylor expansion of -1 in n 3.817 * [backup-simplify]: Simplify -1 into -1 3.817 * [taylor]: Taking taylor expansion of n in n 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (/ -1 1) into -1 3.818 * [backup-simplify]: Simplify (log -1) into (log -1) 3.818 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.818 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.819 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 3.819 * [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)))) 3.819 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.819 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.819 * [taylor]: Taking taylor expansion of 0.5 in k 3.819 * [backup-simplify]: Simplify 0.5 into 0.5 3.819 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.819 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.819 * [taylor]: Taking taylor expansion of (log -1) in k 3.819 * [taylor]: Taking taylor expansion of -1 in k 3.819 * [backup-simplify]: Simplify -1 into -1 3.819 * [backup-simplify]: Simplify (log -1) into (log -1) 3.820 * [taylor]: Taking taylor expansion of (log n) in k 3.820 * [taylor]: Taking taylor expansion of n in k 3.820 * [backup-simplify]: Simplify n into n 3.820 * [backup-simplify]: Simplify (log n) into (log n) 3.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.820 * [taylor]: Taking taylor expansion of k in k 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (/ 1 1) into 1 3.820 * [taylor]: Taking taylor expansion of 1.0 in k 3.820 * [backup-simplify]: Simplify 1.0 into 1.0 3.820 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.820 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 3.821 * [backup-simplify]: Simplify (+ 1 0) into 1 3.821 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 3.821 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 3.821 * [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)))) 3.822 * [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)))) 3.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.824 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 3.825 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.825 * [taylor]: Taking taylor expansion of 0 in k 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.829 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 3.830 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.830 * [taylor]: Taking taylor expansion of 0 in k 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.833 * [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 3.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.834 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.836 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 3.837 * [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 3.837 * [taylor]: Taking taylor expansion of 0 in k 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [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)))))) 3.837 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.838 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 3.838 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.838 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.838 * [taylor]: Taking taylor expansion of 0.5 in k 3.838 * [backup-simplify]: Simplify 0.5 into 0.5 3.838 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.838 * [taylor]: Taking taylor expansion of 1.0 in k 3.838 * [backup-simplify]: Simplify 1.0 into 1.0 3.838 * [taylor]: Taking taylor expansion of k in k 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.838 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.838 * [taylor]: Taking taylor expansion of 2.0 in k 3.838 * [backup-simplify]: Simplify 2.0 into 2.0 3.838 * [taylor]: Taking taylor expansion of PI in k 3.838 * [backup-simplify]: Simplify PI into PI 3.838 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.839 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.839 * [backup-simplify]: Simplify (- 0) into 0 3.840 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.840 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.841 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.842 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.842 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.842 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.842 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.842 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.842 * [taylor]: Taking taylor expansion of 0.5 in k 3.842 * [backup-simplify]: Simplify 0.5 into 0.5 3.842 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.842 * [taylor]: Taking taylor expansion of 1.0 in k 3.842 * [backup-simplify]: Simplify 1.0 into 1.0 3.842 * [taylor]: Taking taylor expansion of k in k 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.842 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.842 * [taylor]: Taking taylor expansion of 2.0 in k 3.842 * [backup-simplify]: Simplify 2.0 into 2.0 3.842 * [taylor]: Taking taylor expansion of PI in k 3.842 * [backup-simplify]: Simplify PI into PI 3.843 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.843 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.844 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.844 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.845 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.846 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.847 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 3.848 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.849 * [backup-simplify]: Simplify (- 1) into -1 3.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.850 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.852 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 3.863 * [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))) 3.866 * [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))) 3.867 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.869 * [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 3.869 * [backup-simplify]: Simplify (- 0) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.870 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 3.878 * [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))) 3.883 * [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))) 3.892 * [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)))) 3.892 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 3.892 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.893 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.893 * [taylor]: Taking taylor expansion of 0.5 in k 3.893 * [backup-simplify]: Simplify 0.5 into 0.5 3.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.893 * [taylor]: Taking taylor expansion of 1.0 in k 3.893 * [backup-simplify]: Simplify 1.0 into 1.0 3.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.893 * [taylor]: Taking taylor expansion of k in k 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (/ 1 1) into 1 3.893 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.893 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.893 * [taylor]: Taking taylor expansion of 2.0 in k 3.893 * [backup-simplify]: Simplify 2.0 into 2.0 3.893 * [taylor]: Taking taylor expansion of PI in k 3.893 * [backup-simplify]: Simplify PI into PI 3.893 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.894 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.894 * [backup-simplify]: Simplify (- 1) into -1 3.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.895 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.896 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 3.896 * [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))))) 3.896 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.896 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.896 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.896 * [taylor]: Taking taylor expansion of 0.5 in k 3.896 * [backup-simplify]: Simplify 0.5 into 0.5 3.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.896 * [taylor]: Taking taylor expansion of 1.0 in k 3.896 * [backup-simplify]: Simplify 1.0 into 1.0 3.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.897 * [taylor]: Taking taylor expansion of k in k 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.897 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.897 * [taylor]: Taking taylor expansion of 2.0 in k 3.897 * [backup-simplify]: Simplify 2.0 into 2.0 3.897 * [taylor]: Taking taylor expansion of PI in k 3.897 * [backup-simplify]: Simplify PI into PI 3.897 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.898 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.898 * [backup-simplify]: Simplify (- 1) into -1 3.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.898 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.899 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 3.900 * [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))))) 3.901 * [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))))) 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.902 * [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))))) 3.902 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 3.902 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.902 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.902 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.902 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.902 * [taylor]: Taking taylor expansion of 0.5 in k 3.902 * [backup-simplify]: Simplify 0.5 into 0.5 3.902 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.902 * [taylor]: Taking taylor expansion of k in k 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (/ 1 1) into 1 3.903 * [taylor]: Taking taylor expansion of 1.0 in k 3.903 * [backup-simplify]: Simplify 1.0 into 1.0 3.903 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.903 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.903 * [taylor]: Taking taylor expansion of 2.0 in k 3.903 * [backup-simplify]: Simplify 2.0 into 2.0 3.903 * [taylor]: Taking taylor expansion of PI in k 3.903 * [backup-simplify]: Simplify PI into PI 3.903 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.904 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.904 * [backup-simplify]: Simplify (+ 1 0) into 1 3.904 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.905 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.906 * [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)))) 3.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.906 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.906 * [taylor]: Taking taylor expansion of 0.5 in k 3.906 * [backup-simplify]: Simplify 0.5 into 0.5 3.906 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.906 * [taylor]: Taking taylor expansion of k in k 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (/ 1 1) into 1 3.906 * [taylor]: Taking taylor expansion of 1.0 in k 3.906 * [backup-simplify]: Simplify 1.0 into 1.0 3.906 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.906 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.906 * [taylor]: Taking taylor expansion of 2.0 in k 3.906 * [backup-simplify]: Simplify 2.0 into 2.0 3.906 * [taylor]: Taking taylor expansion of PI in k 3.906 * [backup-simplify]: Simplify PI into PI 3.907 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.907 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.908 * [backup-simplify]: Simplify (+ 1 0) into 1 3.908 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.909 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.909 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 3.910 * [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)))) 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.911 * [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))))) 3.911 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.912 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 3.912 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 3.912 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 3.912 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 3.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 3.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 3.912 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.912 * [taylor]: Taking taylor expansion of 0.5 in n 3.912 * [backup-simplify]: Simplify 0.5 into 0.5 3.912 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.912 * [taylor]: Taking taylor expansion of 1.0 in n 3.912 * [backup-simplify]: Simplify 1.0 into 1.0 3.912 * [taylor]: Taking taylor expansion of k in n 3.912 * [backup-simplify]: Simplify k into k 3.912 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.912 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.912 * [taylor]: Taking taylor expansion of 2.0 in n 3.912 * [backup-simplify]: Simplify 2.0 into 2.0 3.912 * [taylor]: Taking taylor expansion of PI in n 3.912 * [backup-simplify]: Simplify PI into PI 3.912 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.913 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.913 * [backup-simplify]: Simplify (- k) into (- k) 3.913 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.913 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.914 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 3.915 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 3.915 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.915 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.915 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.915 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.915 * [taylor]: Taking taylor expansion of 0.5 in n 3.915 * [backup-simplify]: Simplify 0.5 into 0.5 3.915 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.915 * [taylor]: Taking taylor expansion of 1.0 in n 3.915 * [backup-simplify]: Simplify 1.0 into 1.0 3.915 * [taylor]: Taking taylor expansion of k in n 3.915 * [backup-simplify]: Simplify k into k 3.915 * [taylor]: Taking taylor expansion of (log n) in n 3.915 * [taylor]: Taking taylor expansion of n in n 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (log 1) into 0 3.915 * [backup-simplify]: Simplify (- k) into (- k) 3.915 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.915 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.916 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 3.916 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 3.916 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.916 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.916 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.916 * [taylor]: Taking taylor expansion of 0.5 in k 3.916 * [backup-simplify]: Simplify 0.5 into 0.5 3.916 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.916 * [taylor]: Taking taylor expansion of 1.0 in k 3.916 * [backup-simplify]: Simplify 1.0 into 1.0 3.916 * [taylor]: Taking taylor expansion of k in k 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.916 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.916 * [taylor]: Taking taylor expansion of 2.0 in k 3.916 * [backup-simplify]: Simplify 2.0 into 2.0 3.916 * [taylor]: Taking taylor expansion of PI in k 3.916 * [backup-simplify]: Simplify PI into PI 3.916 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.917 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.917 * [backup-simplify]: Simplify (- 0) into 0 3.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.918 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.919 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.920 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.920 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.920 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.920 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.920 * [taylor]: Taking taylor expansion of 0.5 in k 3.920 * [backup-simplify]: Simplify 0.5 into 0.5 3.920 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.920 * [taylor]: Taking taylor expansion of 1.0 in k 3.920 * [backup-simplify]: Simplify 1.0 into 1.0 3.920 * [taylor]: Taking taylor expansion of k in k 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [taylor]: Taking taylor expansion of (log n) in k 3.920 * [taylor]: Taking taylor expansion of n in k 3.920 * [backup-simplify]: Simplify n into n 3.920 * [backup-simplify]: Simplify (log n) into (log n) 3.921 * [backup-simplify]: Simplify (- 0) into 0 3.921 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.921 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.921 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 3.921 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 3.921 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.921 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.921 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.921 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.921 * [taylor]: Taking taylor expansion of 0.5 in k 3.921 * [backup-simplify]: Simplify 0.5 into 0.5 3.921 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.921 * [taylor]: Taking taylor expansion of 1.0 in k 3.921 * [backup-simplify]: Simplify 1.0 into 1.0 3.921 * [taylor]: Taking taylor expansion of k in k 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.921 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.921 * [taylor]: Taking taylor expansion of 2.0 in k 3.921 * [backup-simplify]: Simplify 2.0 into 2.0 3.921 * [taylor]: Taking taylor expansion of PI in k 3.921 * [backup-simplify]: Simplify PI into PI 3.922 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.922 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.923 * [backup-simplify]: Simplify (- 0) into 0 3.923 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.923 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.924 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.925 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.925 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.925 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.926 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.926 * [taylor]: Taking taylor expansion of 0.5 in k 3.926 * [backup-simplify]: Simplify 0.5 into 0.5 3.926 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.926 * [taylor]: Taking taylor expansion of 1.0 in k 3.926 * [backup-simplify]: Simplify 1.0 into 1.0 3.926 * [taylor]: Taking taylor expansion of k in k 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [taylor]: Taking taylor expansion of (log n) in k 3.926 * [taylor]: Taking taylor expansion of n in k 3.926 * [backup-simplify]: Simplify n into n 3.926 * [backup-simplify]: Simplify (log n) into (log n) 3.926 * [backup-simplify]: Simplify (- 0) into 0 3.926 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.926 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.926 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 3.927 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 3.927 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 3.927 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.927 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.927 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.927 * [taylor]: Taking taylor expansion of 0.5 in n 3.928 * [backup-simplify]: Simplify 0.5 into 0.5 3.928 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.928 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.928 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.928 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.928 * [taylor]: Taking taylor expansion of 1.0 in n 3.928 * [backup-simplify]: Simplify 1.0 into 1.0 3.928 * [taylor]: Taking taylor expansion of (log PI) in n 3.928 * [taylor]: Taking taylor expansion of PI in n 3.928 * [backup-simplify]: Simplify PI into PI 3.928 * [backup-simplify]: Simplify (log PI) into (log PI) 3.928 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.929 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.929 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.929 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.929 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.929 * [taylor]: Taking taylor expansion of 1.0 in n 3.929 * [backup-simplify]: Simplify 1.0 into 1.0 3.929 * [taylor]: Taking taylor expansion of (log n) in n 3.930 * [taylor]: Taking taylor expansion of n in n 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (log 1) into 0 3.930 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.930 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.930 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.930 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.930 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.930 * [taylor]: Taking taylor expansion of 1.0 in n 3.930 * [backup-simplify]: Simplify 1.0 into 1.0 3.930 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.930 * [taylor]: Taking taylor expansion of 2.0 in n 3.930 * [backup-simplify]: Simplify 2.0 into 2.0 3.931 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.931 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.932 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.932 * [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) 3.933 * [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) 3.934 * [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)) 3.935 * [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))) 3.935 * [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) 3.936 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 3.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.937 * [backup-simplify]: Simplify (- 1) into -1 3.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.938 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 3.939 * [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))) 3.939 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.941 * [backup-simplify]: Simplify (- 1) into -1 3.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.942 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 3.954 * [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))) 3.959 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 3.959 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.959 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.959 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.959 * [taylor]: Taking taylor expansion of 0.5 in n 3.959 * [backup-simplify]: Simplify 0.5 into 0.5 3.959 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.959 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.959 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.959 * [taylor]: Taking taylor expansion of 2.0 in n 3.959 * [backup-simplify]: Simplify 2.0 into 2.0 3.959 * [taylor]: Taking taylor expansion of PI in n 3.959 * [backup-simplify]: Simplify PI into PI 3.959 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.960 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.960 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.960 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.960 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.960 * [taylor]: Taking taylor expansion of 0.5 in n 3.960 * [backup-simplify]: Simplify 0.5 into 0.5 3.960 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.960 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.960 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.960 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.960 * [taylor]: Taking taylor expansion of 1.0 in n 3.960 * [backup-simplify]: Simplify 1.0 into 1.0 3.960 * [taylor]: Taking taylor expansion of (log PI) in n 3.960 * [taylor]: Taking taylor expansion of PI in n 3.960 * [backup-simplify]: Simplify PI into PI 3.961 * [backup-simplify]: Simplify (log PI) into (log PI) 3.961 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.962 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.962 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.962 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.962 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.962 * [taylor]: Taking taylor expansion of 1.0 in n 3.962 * [backup-simplify]: Simplify 1.0 into 1.0 3.962 * [taylor]: Taking taylor expansion of (log n) in n 3.962 * [taylor]: Taking taylor expansion of n in n 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (log 1) into 0 3.963 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.963 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.963 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.963 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.963 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.963 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.963 * [taylor]: Taking taylor expansion of 1.0 in n 3.963 * [backup-simplify]: Simplify 1.0 into 1.0 3.963 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.963 * [taylor]: Taking taylor expansion of 2.0 in n 3.963 * [backup-simplify]: Simplify 2.0 into 2.0 3.963 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.964 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.965 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.965 * [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) 3.966 * [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) 3.967 * [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)) 3.967 * [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))) 3.968 * [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) 3.968 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.968 * [taylor]: Taking taylor expansion of 0.5 in n 3.968 * [backup-simplify]: Simplify 0.5 into 0.5 3.968 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.968 * [taylor]: Taking taylor expansion of (log n) in n 3.968 * [taylor]: Taking taylor expansion of n in n 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (log 1) into 0 3.969 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.969 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.969 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.969 * [taylor]: Taking taylor expansion of 0.5 in n 3.969 * [backup-simplify]: Simplify 0.5 into 0.5 3.969 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.969 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.969 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.969 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.969 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.969 * [taylor]: Taking taylor expansion of 1.0 in n 3.969 * [backup-simplify]: Simplify 1.0 into 1.0 3.969 * [taylor]: Taking taylor expansion of (log PI) in n 3.969 * [taylor]: Taking taylor expansion of PI in n 3.969 * [backup-simplify]: Simplify PI into PI 3.969 * [backup-simplify]: Simplify (log PI) into (log PI) 3.970 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.971 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.971 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.971 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.971 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.971 * [taylor]: Taking taylor expansion of 1.0 in n 3.971 * [backup-simplify]: Simplify 1.0 into 1.0 3.971 * [taylor]: Taking taylor expansion of (log n) in n 3.971 * [taylor]: Taking taylor expansion of n in n 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (log 1) into 0 3.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.971 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.971 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.971 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.971 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.971 * [taylor]: Taking taylor expansion of 1.0 in n 3.971 * [backup-simplify]: Simplify 1.0 into 1.0 3.971 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.971 * [taylor]: Taking taylor expansion of 2.0 in n 3.971 * [backup-simplify]: Simplify 2.0 into 2.0 3.972 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.972 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.973 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.973 * [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) 3.974 * [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) 3.975 * [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)) 3.976 * [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))) 3.977 * [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) 3.978 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 3.979 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.981 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 3.981 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.984 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 3.986 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 3.988 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 3.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 3.991 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 3.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.992 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.992 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 3.992 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 3.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 3.994 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 3.995 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 3.997 * [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 3.998 * [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 3.999 * [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 3.999 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.001 * [backup-simplify]: Simplify (- 0) into 0 4.001 * [backup-simplify]: Simplify (+ 0 0) into 0 4.001 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 4.003 * [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))) 4.003 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.005 * [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 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.014 * [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))) 4.024 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.024 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.024 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.024 * [taylor]: Taking taylor expansion of 0.125 in n 4.024 * [backup-simplify]: Simplify 0.125 into 0.125 4.024 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.024 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.024 * [taylor]: Taking taylor expansion of (log n) in n 4.024 * [taylor]: Taking taylor expansion of n in n 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (log 1) into 0 4.025 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.025 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.025 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.025 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.025 * [taylor]: Taking taylor expansion of 0.5 in n 4.025 * [backup-simplify]: Simplify 0.5 into 0.5 4.025 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.025 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.025 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.025 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.025 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.025 * [taylor]: Taking taylor expansion of 1.0 in n 4.025 * [backup-simplify]: Simplify 1.0 into 1.0 4.025 * [taylor]: Taking taylor expansion of (log PI) in n 4.025 * [taylor]: Taking taylor expansion of PI in n 4.025 * [backup-simplify]: Simplify PI into PI 4.025 * [backup-simplify]: Simplify (log PI) into (log PI) 4.026 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.027 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.027 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.027 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.027 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.027 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.027 * [taylor]: Taking taylor expansion of 1.0 in n 4.027 * [backup-simplify]: Simplify 1.0 into 1.0 4.027 * [taylor]: Taking taylor expansion of (log n) in n 4.027 * [taylor]: Taking taylor expansion of n in n 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (log 1) into 0 4.027 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.027 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.027 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.027 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.027 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.028 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.028 * [taylor]: Taking taylor expansion of 1.0 in n 4.028 * [backup-simplify]: Simplify 1.0 into 1.0 4.028 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.028 * [taylor]: Taking taylor expansion of 2.0 in n 4.028 * [backup-simplify]: Simplify 2.0 into 2.0 4.028 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.028 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.029 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.030 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.030 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.031 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.032 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.033 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.033 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.033 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 4.033 * [taylor]: Taking taylor expansion of 0.25 in n 4.033 * [backup-simplify]: Simplify 0.25 into 0.25 4.033 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 4.033 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 4.033 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.033 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.033 * [taylor]: Taking taylor expansion of 2.0 in n 4.033 * [backup-simplify]: Simplify 2.0 into 2.0 4.033 * [taylor]: Taking taylor expansion of PI in n 4.033 * [backup-simplify]: Simplify PI into PI 4.033 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.034 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.034 * [taylor]: Taking taylor expansion of (log n) in n 4.034 * [taylor]: Taking taylor expansion of n in n 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (log 1) into 0 4.034 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.034 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.034 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.034 * [taylor]: Taking taylor expansion of 0.5 in n 4.034 * [backup-simplify]: Simplify 0.5 into 0.5 4.034 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.034 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.034 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.034 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.034 * [taylor]: Taking taylor expansion of 1.0 in n 4.034 * [backup-simplify]: Simplify 1.0 into 1.0 4.034 * [taylor]: Taking taylor expansion of (log PI) in n 4.035 * [taylor]: Taking taylor expansion of PI in n 4.035 * [backup-simplify]: Simplify PI into PI 4.035 * [backup-simplify]: Simplify (log PI) into (log PI) 4.035 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.036 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.036 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.036 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.036 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.036 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.036 * [taylor]: Taking taylor expansion of 1.0 in n 4.036 * [backup-simplify]: Simplify 1.0 into 1.0 4.036 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.036 * [taylor]: Taking taylor expansion of 2.0 in n 4.036 * [backup-simplify]: Simplify 2.0 into 2.0 4.037 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.037 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.038 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.038 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.038 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.038 * [taylor]: Taking taylor expansion of 1.0 in n 4.038 * [backup-simplify]: Simplify 1.0 into 1.0 4.038 * [taylor]: Taking taylor expansion of (log n) in n 4.038 * [taylor]: Taking taylor expansion of n in n 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (log 1) into 0 4.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.039 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.039 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.039 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.040 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.041 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.045 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.046 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.046 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.046 * [taylor]: Taking taylor expansion of 0.125 in n 4.046 * [backup-simplify]: Simplify 0.125 into 0.125 4.046 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.046 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.046 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.046 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.046 * [taylor]: Taking taylor expansion of 2.0 in n 4.046 * [backup-simplify]: Simplify 2.0 into 2.0 4.046 * [taylor]: Taking taylor expansion of PI in n 4.046 * [backup-simplify]: Simplify PI into PI 4.047 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.047 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.047 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.047 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.047 * [taylor]: Taking taylor expansion of 0.5 in n 4.047 * [backup-simplify]: Simplify 0.5 into 0.5 4.047 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.047 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.047 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.047 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.047 * [taylor]: Taking taylor expansion of 1.0 in n 4.047 * [backup-simplify]: Simplify 1.0 into 1.0 4.047 * [taylor]: Taking taylor expansion of (log PI) in n 4.047 * [taylor]: Taking taylor expansion of PI in n 4.047 * [backup-simplify]: Simplify PI into PI 4.048 * [backup-simplify]: Simplify (log PI) into (log PI) 4.048 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.049 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.049 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.049 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.049 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.049 * [taylor]: Taking taylor expansion of 1.0 in n 4.049 * [backup-simplify]: Simplify 1.0 into 1.0 4.049 * [taylor]: Taking taylor expansion of (log n) in n 4.049 * [taylor]: Taking taylor expansion of n in n 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (log 1) into 0 4.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.050 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.050 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.050 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.050 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.050 * [taylor]: Taking taylor expansion of 1.0 in n 4.050 * [backup-simplify]: Simplify 1.0 into 1.0 4.050 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.050 * [taylor]: Taking taylor expansion of 2.0 in n 4.050 * [backup-simplify]: Simplify 2.0 into 2.0 4.050 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.051 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.052 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.052 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.053 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.053 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.054 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.055 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.056 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.056 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 4.057 * [backup-simplify]: Simplify (* (pow (log n) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 4.057 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.058 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.058 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 4.060 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 4.061 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 4.063 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 4.065 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.066 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.070 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 4.074 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 4.078 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 4.086 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 4.087 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 4.087 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 4.087 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.087 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.087 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.087 * [taylor]: Taking taylor expansion of 0.5 in n 4.087 * [backup-simplify]: Simplify 0.5 into 0.5 4.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.087 * [taylor]: Taking taylor expansion of 1.0 in n 4.087 * [backup-simplify]: Simplify 1.0 into 1.0 4.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.087 * [taylor]: Taking taylor expansion of k in n 4.087 * [backup-simplify]: Simplify k into k 4.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.087 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.087 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.087 * [taylor]: Taking taylor expansion of n in n 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [backup-simplify]: Simplify (log 1) into 0 4.088 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.088 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.088 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.088 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.088 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.089 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 4.089 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 4.089 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.089 * [taylor]: Taking taylor expansion of 0.5 in n 4.089 * [backup-simplify]: Simplify 0.5 into 0.5 4.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.089 * [taylor]: Taking taylor expansion of 1.0 in n 4.089 * [backup-simplify]: Simplify 1.0 into 1.0 4.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.089 * [taylor]: Taking taylor expansion of k in n 4.089 * [backup-simplify]: Simplify k into k 4.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.089 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.089 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.089 * [taylor]: Taking taylor expansion of 2.0 in n 4.089 * [backup-simplify]: Simplify 2.0 into 2.0 4.089 * [taylor]: Taking taylor expansion of PI in n 4.089 * [backup-simplify]: Simplify PI into PI 4.089 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.090 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.090 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.090 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.090 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.091 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.091 * [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))))) 4.092 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.092 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.092 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.092 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.092 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.092 * [taylor]: Taking taylor expansion of 0.5 in k 4.092 * [backup-simplify]: Simplify 0.5 into 0.5 4.092 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.092 * [taylor]: Taking taylor expansion of 1.0 in k 4.092 * [backup-simplify]: Simplify 1.0 into 1.0 4.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.092 * [taylor]: Taking taylor expansion of k in k 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.092 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.092 * [taylor]: Taking taylor expansion of n in k 4.092 * [backup-simplify]: Simplify n into n 4.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.092 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.092 * [backup-simplify]: Simplify (- 1) into -1 4.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.093 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.093 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.093 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.093 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.093 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.093 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.093 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.093 * [taylor]: Taking taylor expansion of 0.5 in k 4.093 * [backup-simplify]: Simplify 0.5 into 0.5 4.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.093 * [taylor]: Taking taylor expansion of 1.0 in k 4.093 * [backup-simplify]: Simplify 1.0 into 1.0 4.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.093 * [taylor]: Taking taylor expansion of k in k 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (/ 1 1) into 1 4.093 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.094 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.094 * [taylor]: Taking taylor expansion of 2.0 in k 4.094 * [backup-simplify]: Simplify 2.0 into 2.0 4.094 * [taylor]: Taking taylor expansion of PI in k 4.094 * [backup-simplify]: Simplify PI into PI 4.094 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.094 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.095 * [backup-simplify]: Simplify (- 1) into -1 4.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.095 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.096 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.097 * [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))))) 4.097 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.097 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.097 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.097 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.097 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.097 * [taylor]: Taking taylor expansion of 0.5 in k 4.097 * [backup-simplify]: Simplify 0.5 into 0.5 4.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.097 * [taylor]: Taking taylor expansion of 1.0 in k 4.097 * [backup-simplify]: Simplify 1.0 into 1.0 4.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.097 * [taylor]: Taking taylor expansion of k in k 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.097 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.097 * [taylor]: Taking taylor expansion of n in k 4.097 * [backup-simplify]: Simplify n into n 4.097 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.097 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.098 * [backup-simplify]: Simplify (- 1) into -1 4.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.098 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.098 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.098 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.098 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.098 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.098 * [taylor]: Taking taylor expansion of 0.5 in k 4.098 * [backup-simplify]: Simplify 0.5 into 0.5 4.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.098 * [taylor]: Taking taylor expansion of 1.0 in k 4.098 * [backup-simplify]: Simplify 1.0 into 1.0 4.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.099 * [taylor]: Taking taylor expansion of k in k 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (/ 1 1) into 1 4.099 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.099 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.099 * [taylor]: Taking taylor expansion of 2.0 in k 4.099 * [backup-simplify]: Simplify 2.0 into 2.0 4.099 * [taylor]: Taking taylor expansion of PI in k 4.099 * [backup-simplify]: Simplify PI into PI 4.099 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.100 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.100 * [backup-simplify]: Simplify (- 1) into -1 4.100 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.100 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.101 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.102 * [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))))) 4.103 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 4.103 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 4.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.103 * [taylor]: Taking taylor expansion of 0.5 in n 4.103 * [backup-simplify]: Simplify 0.5 into 0.5 4.103 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.103 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.103 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.103 * [taylor]: Taking taylor expansion of n in n 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify (/ 1 1) into 1 4.104 * [backup-simplify]: Simplify (log 1) into 0 4.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.104 * [taylor]: Taking taylor expansion of 1.0 in n 4.104 * [backup-simplify]: Simplify 1.0 into 1.0 4.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.104 * [taylor]: Taking taylor expansion of k in n 4.104 * [backup-simplify]: Simplify k into k 4.104 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.104 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.104 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.104 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 4.104 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.104 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.104 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.104 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.104 * [taylor]: Taking taylor expansion of 0.5 in n 4.104 * [backup-simplify]: Simplify 0.5 into 0.5 4.104 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.104 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.105 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.105 * [taylor]: Taking taylor expansion of 2.0 in n 4.105 * [backup-simplify]: Simplify 2.0 into 2.0 4.105 * [taylor]: Taking taylor expansion of PI in n 4.105 * [backup-simplify]: Simplify PI into PI 4.105 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.105 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.106 * [taylor]: Taking taylor expansion of 1.0 in n 4.106 * [backup-simplify]: Simplify 1.0 into 1.0 4.106 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.106 * [taylor]: Taking taylor expansion of k in n 4.106 * [backup-simplify]: Simplify k into k 4.106 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.106 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.106 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.106 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 4.107 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.108 * [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))))) 4.109 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 4.109 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 4.110 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 4.110 * [taylor]: Taking taylor expansion of 0 in n 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.113 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 4.115 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.115 * [backup-simplify]: Simplify (- 0) into 0 4.115 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.117 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 4.118 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.119 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 4.120 * [taylor]: Taking taylor expansion of 0 in n 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.120 * [backup-simplify]: Simplify (- 0) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.122 * [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 4.123 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 4.126 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.126 * [backup-simplify]: Simplify (- 0) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.129 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 4.130 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.131 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 4.132 * [taylor]: Taking taylor expansion of 0 in n 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 4.134 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 4.134 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 4.134 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.134 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.134 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.134 * [taylor]: Taking taylor expansion of 0.5 in n 4.134 * [backup-simplify]: Simplify 0.5 into 0.5 4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.134 * [taylor]: Taking taylor expansion of k in n 4.134 * [backup-simplify]: Simplify k into k 4.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.134 * [taylor]: Taking taylor expansion of 1.0 in n 4.134 * [backup-simplify]: Simplify 1.0 into 1.0 4.134 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.134 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.134 * [taylor]: Taking taylor expansion of -1 in n 4.134 * [backup-simplify]: Simplify -1 into -1 4.134 * [taylor]: Taking taylor expansion of n in n 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (/ -1 1) into -1 4.135 * [backup-simplify]: Simplify (log -1) into (log -1) 4.135 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.135 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.135 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.136 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.136 * [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)))) 4.136 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.136 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.136 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.136 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.136 * [taylor]: Taking taylor expansion of 0.5 in n 4.136 * [backup-simplify]: Simplify 0.5 into 0.5 4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.136 * [taylor]: Taking taylor expansion of k in n 4.136 * [backup-simplify]: Simplify k into k 4.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.136 * [taylor]: Taking taylor expansion of 1.0 in n 4.136 * [backup-simplify]: Simplify 1.0 into 1.0 4.136 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.136 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.136 * [taylor]: Taking taylor expansion of 2.0 in n 4.136 * [backup-simplify]: Simplify 2.0 into 2.0 4.136 * [taylor]: Taking taylor expansion of PI in n 4.136 * [backup-simplify]: Simplify PI into PI 4.137 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.141 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.141 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.141 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.142 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.142 * [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)))) 4.142 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.143 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.143 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.143 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.143 * [taylor]: Taking taylor expansion of 0.5 in k 4.143 * [backup-simplify]: Simplify 0.5 into 0.5 4.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.143 * [taylor]: Taking taylor expansion of k in k 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (/ 1 1) into 1 4.143 * [taylor]: Taking taylor expansion of 1.0 in k 4.143 * [backup-simplify]: Simplify 1.0 into 1.0 4.143 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.143 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.143 * [taylor]: Taking taylor expansion of -1 in k 4.143 * [backup-simplify]: Simplify -1 into -1 4.143 * [taylor]: Taking taylor expansion of n in k 4.143 * [backup-simplify]: Simplify n into n 4.143 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.143 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.143 * [backup-simplify]: Simplify (+ 1 0) into 1 4.144 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.144 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.144 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.144 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.144 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.144 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.144 * [taylor]: Taking taylor expansion of 0.5 in k 4.144 * [backup-simplify]: Simplify 0.5 into 0.5 4.144 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.144 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.144 * [taylor]: Taking taylor expansion of k in k 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ 1 1) into 1 4.144 * [taylor]: Taking taylor expansion of 1.0 in k 4.144 * [backup-simplify]: Simplify 1.0 into 1.0 4.144 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.144 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.144 * [taylor]: Taking taylor expansion of 2.0 in k 4.144 * [backup-simplify]: Simplify 2.0 into 2.0 4.144 * [taylor]: Taking taylor expansion of PI in k 4.144 * [backup-simplify]: Simplify PI into PI 4.145 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.145 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.146 * [backup-simplify]: Simplify (+ 1 0) into 1 4.146 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.147 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.147 * [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)))) 4.147 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.147 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.147 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.148 * [taylor]: Taking taylor expansion of 0.5 in k 4.148 * [backup-simplify]: Simplify 0.5 into 0.5 4.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.148 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.148 * [taylor]: Taking taylor expansion of k in k 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (/ 1 1) into 1 4.148 * [taylor]: Taking taylor expansion of 1.0 in k 4.148 * [backup-simplify]: Simplify 1.0 into 1.0 4.148 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.148 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.148 * [taylor]: Taking taylor expansion of -1 in k 4.148 * [backup-simplify]: Simplify -1 into -1 4.148 * [taylor]: Taking taylor expansion of n in k 4.148 * [backup-simplify]: Simplify n into n 4.148 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.148 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.148 * [backup-simplify]: Simplify (+ 1 0) into 1 4.149 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.149 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.149 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.149 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.149 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.149 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.149 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.149 * [taylor]: Taking taylor expansion of 0.5 in k 4.149 * [backup-simplify]: Simplify 0.5 into 0.5 4.149 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.149 * [taylor]: Taking taylor expansion of k in k 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [taylor]: Taking taylor expansion of 1.0 in k 4.149 * [backup-simplify]: Simplify 1.0 into 1.0 4.149 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.149 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.149 * [taylor]: Taking taylor expansion of 2.0 in k 4.149 * [backup-simplify]: Simplify 2.0 into 2.0 4.149 * [taylor]: Taking taylor expansion of PI in k 4.149 * [backup-simplify]: Simplify PI into PI 4.150 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.150 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.150 * [backup-simplify]: Simplify (+ 1 0) into 1 4.151 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.152 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.152 * [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)))) 4.153 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 4.153 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.153 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.153 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.153 * [taylor]: Taking taylor expansion of 0.5 in n 4.153 * [backup-simplify]: Simplify 0.5 into 0.5 4.153 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.153 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.153 * [taylor]: Taking taylor expansion of k in n 4.153 * [backup-simplify]: Simplify k into k 4.153 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.153 * [taylor]: Taking taylor expansion of 1.0 in n 4.153 * [backup-simplify]: Simplify 1.0 into 1.0 4.153 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.154 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.154 * [taylor]: Taking taylor expansion of -1 in n 4.154 * [backup-simplify]: Simplify -1 into -1 4.154 * [taylor]: Taking taylor expansion of n in n 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (/ -1 1) into -1 4.154 * [backup-simplify]: Simplify (log -1) into (log -1) 4.154 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.155 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 4.155 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.156 * [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)))) 4.156 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.156 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.156 * [taylor]: Taking taylor expansion of 0.5 in n 4.156 * [backup-simplify]: Simplify 0.5 into 0.5 4.156 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.156 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.156 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.156 * [taylor]: Taking taylor expansion of 2.0 in n 4.156 * [backup-simplify]: Simplify 2.0 into 2.0 4.156 * [taylor]: Taking taylor expansion of PI in n 4.156 * [backup-simplify]: Simplify PI into PI 4.156 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.157 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.157 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.157 * [taylor]: Taking taylor expansion of k in n 4.157 * [backup-simplify]: Simplify k into k 4.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.157 * [taylor]: Taking taylor expansion of 1.0 in n 4.157 * [backup-simplify]: Simplify 1.0 into 1.0 4.157 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.158 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 4.158 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.159 * [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)))) 4.160 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 4.161 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 4.162 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 4.162 * [taylor]: Taking taylor expansion of 0 in n 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.163 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.164 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 4.166 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.168 * [backup-simplify]: Simplify (+ 0 0) into 0 4.168 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.169 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 4.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 4.170 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 4.172 * [taylor]: Taking taylor expansion of 0 in n 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.175 * [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 4.175 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 4.178 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.181 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 4.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 4.183 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.184 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 4.184 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 4.185 * [taylor]: Taking taylor expansion of 0 in n 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 4.187 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.187 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) into (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) 4.187 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 4.187 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 4.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.187 * [taylor]: Taking taylor expansion of k in n 4.187 * [backup-simplify]: Simplify k into k 4.188 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.188 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.188 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 4.188 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.188 * [taylor]: Taking taylor expansion of 1.0 in n 4.188 * [backup-simplify]: Simplify 1.0 into 1.0 4.188 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.188 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.189 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.189 * [taylor]: Taking taylor expansion of 0.5 in n 4.189 * [backup-simplify]: Simplify 0.5 into 0.5 4.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.189 * [taylor]: Taking taylor expansion of 1.0 in n 4.189 * [backup-simplify]: Simplify 1.0 into 1.0 4.189 * [taylor]: Taking taylor expansion of k in n 4.189 * [backup-simplify]: Simplify k into k 4.189 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.189 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.189 * [taylor]: Taking taylor expansion of 2.0 in n 4.189 * [backup-simplify]: Simplify 2.0 into 2.0 4.189 * [taylor]: Taking taylor expansion of PI in n 4.189 * [backup-simplify]: Simplify PI into PI 4.189 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.190 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.190 * [backup-simplify]: Simplify (- k) into (- k) 4.190 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.190 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.190 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 4.191 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.191 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.191 * [taylor]: Taking taylor expansion of 0.5 in n 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.191 * [taylor]: Taking taylor expansion of 1.0 in n 4.191 * [backup-simplify]: Simplify 1.0 into 1.0 4.191 * [taylor]: Taking taylor expansion of k in n 4.191 * [backup-simplify]: Simplify k into k 4.191 * [taylor]: Taking taylor expansion of (log n) in n 4.191 * [taylor]: Taking taylor expansion of n in n 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (log 1) into 0 4.192 * [backup-simplify]: Simplify (- k) into (- k) 4.192 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.192 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.192 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.192 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.192 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.192 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.192 * [taylor]: Taking taylor expansion of k in k 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (/ 1 1) into 1 4.193 * [backup-simplify]: Simplify (sqrt 0) into 0 4.194 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.194 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.194 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.194 * [taylor]: Taking taylor expansion of 1.0 in k 4.194 * [backup-simplify]: Simplify 1.0 into 1.0 4.194 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.194 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.194 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.195 * [taylor]: Taking taylor expansion of 0.5 in k 4.195 * [backup-simplify]: Simplify 0.5 into 0.5 4.195 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.195 * [taylor]: Taking taylor expansion of 1.0 in k 4.195 * [backup-simplify]: Simplify 1.0 into 1.0 4.195 * [taylor]: Taking taylor expansion of k in k 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.195 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.195 * [taylor]: Taking taylor expansion of 2.0 in k 4.195 * [backup-simplify]: Simplify 2.0 into 2.0 4.195 * [taylor]: Taking taylor expansion of PI in k 4.195 * [backup-simplify]: Simplify PI into PI 4.195 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.196 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.196 * [backup-simplify]: Simplify (- 0) into 0 4.196 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.196 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.197 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.199 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.199 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.199 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.199 * [taylor]: Taking taylor expansion of 0.5 in k 4.199 * [backup-simplify]: Simplify 0.5 into 0.5 4.199 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.199 * [taylor]: Taking taylor expansion of 1.0 in k 4.199 * [backup-simplify]: Simplify 1.0 into 1.0 4.199 * [taylor]: Taking taylor expansion of k in k 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [taylor]: Taking taylor expansion of (log n) in k 4.199 * [taylor]: Taking taylor expansion of n in k 4.199 * [backup-simplify]: Simplify n into n 4.199 * [backup-simplify]: Simplify (log n) into (log n) 4.199 * [backup-simplify]: Simplify (- 0) into 0 4.199 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.200 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.200 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.200 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.200 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.200 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.200 * [taylor]: Taking taylor expansion of k in k 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (/ 1 1) into 1 4.200 * [backup-simplify]: Simplify (sqrt 0) into 0 4.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.201 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.201 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.201 * [taylor]: Taking taylor expansion of 1.0 in k 4.201 * [backup-simplify]: Simplify 1.0 into 1.0 4.201 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.202 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.202 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.202 * [taylor]: Taking taylor expansion of 0.5 in k 4.202 * [backup-simplify]: Simplify 0.5 into 0.5 4.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.202 * [taylor]: Taking taylor expansion of 1.0 in k 4.202 * [backup-simplify]: Simplify 1.0 into 1.0 4.202 * [taylor]: Taking taylor expansion of k in k 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.202 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.202 * [taylor]: Taking taylor expansion of 2.0 in k 4.202 * [backup-simplify]: Simplify 2.0 into 2.0 4.202 * [taylor]: Taking taylor expansion of PI in k 4.202 * [backup-simplify]: Simplify PI into PI 4.202 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.203 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.203 * [backup-simplify]: Simplify (- 0) into 0 4.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.204 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.205 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.206 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.206 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.206 * [taylor]: Taking taylor expansion of 0.5 in k 4.206 * [backup-simplify]: Simplify 0.5 into 0.5 4.206 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.206 * [taylor]: Taking taylor expansion of 1.0 in k 4.206 * [backup-simplify]: Simplify 1.0 into 1.0 4.206 * [taylor]: Taking taylor expansion of k in k 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [taylor]: Taking taylor expansion of (log n) in k 4.206 * [taylor]: Taking taylor expansion of n in k 4.206 * [backup-simplify]: Simplify n into n 4.206 * [backup-simplify]: Simplify (log n) into (log n) 4.207 * [backup-simplify]: Simplify (- 0) into 0 4.207 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.207 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.207 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.207 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.208 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 4.209 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)) 4.210 * [backup-simplify]: Simplify (* 0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) into 0 4.210 * [taylor]: Taking taylor expansion of 0 in n 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.211 * [backup-simplify]: Simplify (- 1) into -1 4.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.212 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 4.213 * [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))) 4.213 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.214 * [backup-simplify]: Simplify (- 1) into -1 4.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.215 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.217 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.224 * [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))) 4.229 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.236 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 4.240 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 4.240 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) in n 4.240 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 4.240 * [taylor]: Taking taylor expansion of +nan.0 in n 4.240 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.240 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 4.240 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.240 * [taylor]: Taking taylor expansion of 0.5 in n 4.240 * [backup-simplify]: Simplify 0.5 into 0.5 4.240 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.240 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.240 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.241 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.241 * [taylor]: Taking taylor expansion of 1.0 in n 4.241 * [backup-simplify]: Simplify 1.0 into 1.0 4.241 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.241 * [taylor]: Taking taylor expansion of 2.0 in n 4.241 * [backup-simplify]: Simplify 2.0 into 2.0 4.241 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.241 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.242 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.242 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.243 * [taylor]: Taking taylor expansion of 1.0 in n 4.243 * [backup-simplify]: Simplify 1.0 into 1.0 4.243 * [taylor]: Taking taylor expansion of (log n) in n 4.243 * [taylor]: Taking taylor expansion of n in n 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (log 1) into 0 4.243 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.243 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.243 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.243 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.243 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.243 * [taylor]: Taking taylor expansion of 1.0 in n 4.243 * [backup-simplify]: Simplify 1.0 into 1.0 4.243 * [taylor]: Taking taylor expansion of (log PI) in n 4.243 * [taylor]: Taking taylor expansion of PI in n 4.243 * [backup-simplify]: Simplify PI into PI 4.244 * [backup-simplify]: Simplify (log PI) into (log PI) 4.244 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.245 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.246 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.246 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.247 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.248 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.249 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.249 * [taylor]: Taking taylor expansion of 1.0 in n 4.249 * [backup-simplify]: Simplify 1.0 into 1.0 4.249 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.250 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 4.251 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 4.252 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) 4.254 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))) 4.254 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.255 * [backup-simplify]: Simplify (- 0) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 4.257 * [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))) 4.257 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.259 * [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 4.259 * [backup-simplify]: Simplify (- 0) into 0 4.260 * [backup-simplify]: Simplify (+ 0 0) into 0 4.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.269 * [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))) 4.278 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.287 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))) 4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.300 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) (+ (* +nan.0 (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 4.300 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 4.300 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 4.300 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 4.300 * [taylor]: Taking taylor expansion of +nan.0 in n 4.300 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.300 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 4.300 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.300 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.300 * [taylor]: Taking taylor expansion of 0.5 in n 4.300 * [backup-simplify]: Simplify 0.5 into 0.5 4.300 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.300 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.300 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.300 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.300 * [taylor]: Taking taylor expansion of 1.0 in n 4.300 * [backup-simplify]: Simplify 1.0 into 1.0 4.300 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.300 * [taylor]: Taking taylor expansion of 2.0 in n 4.300 * [backup-simplify]: Simplify 2.0 into 2.0 4.300 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.301 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.302 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.302 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.302 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.302 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.302 * [taylor]: Taking taylor expansion of 1.0 in n 4.302 * [backup-simplify]: Simplify 1.0 into 1.0 4.302 * [taylor]: Taking taylor expansion of (log n) in n 4.302 * [taylor]: Taking taylor expansion of n in n 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [backup-simplify]: Simplify (log 1) into 0 4.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.302 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.303 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.303 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.303 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.303 * [taylor]: Taking taylor expansion of 1.0 in n 4.303 * [backup-simplify]: Simplify 1.0 into 1.0 4.303 * [taylor]: Taking taylor expansion of (log PI) in n 4.303 * [taylor]: Taking taylor expansion of PI in n 4.303 * [backup-simplify]: Simplify PI into PI 4.303 * [backup-simplify]: Simplify (log PI) into (log PI) 4.303 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.304 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.305 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.306 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.306 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.307 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.308 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.308 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.308 * [taylor]: Taking taylor expansion of 1.0 in n 4.308 * [backup-simplify]: Simplify 1.0 into 1.0 4.308 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.309 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 4.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.309 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) in n 4.309 * [taylor]: Taking taylor expansion of +nan.0 in n 4.309 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.309 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n))) in n 4.309 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.309 * [taylor]: Taking taylor expansion of 0.5 in n 4.309 * [backup-simplify]: Simplify 0.5 into 0.5 4.309 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.309 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.309 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.309 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.309 * [taylor]: Taking taylor expansion of 1.0 in n 4.309 * [backup-simplify]: Simplify 1.0 into 1.0 4.309 * [taylor]: Taking taylor expansion of (log PI) in n 4.309 * [taylor]: Taking taylor expansion of PI in n 4.309 * [backup-simplify]: Simplify PI into PI 4.309 * [backup-simplify]: Simplify (log PI) into (log PI) 4.310 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.311 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.311 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.311 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.311 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.311 * [taylor]: Taking taylor expansion of 1.0 in n 4.311 * [backup-simplify]: Simplify 1.0 into 1.0 4.311 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.311 * [taylor]: Taking taylor expansion of 2.0 in n 4.311 * [backup-simplify]: Simplify 2.0 into 2.0 4.311 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.312 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.313 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.313 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.313 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.313 * [taylor]: Taking taylor expansion of 1.0 in n 4.313 * [backup-simplify]: Simplify 1.0 into 1.0 4.313 * [taylor]: Taking taylor expansion of (log n) in n 4.313 * [taylor]: Taking taylor expansion of n in n 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (log 1) into 0 4.313 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.313 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.313 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.314 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.314 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.315 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.316 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.317 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.317 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (log n)) in n 4.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.317 * [taylor]: Taking taylor expansion of 1.0 in n 4.317 * [backup-simplify]: Simplify 1.0 into 1.0 4.317 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.318 * [taylor]: Taking taylor expansion of (log n) in n 4.318 * [taylor]: Taking taylor expansion of n in n 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (log 1) into 0 4.318 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.318 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.318 * [taylor]: Taking taylor expansion of +nan.0 in n 4.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.318 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.318 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (sqrt 1.0)) in n 4.318 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.318 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.318 * [taylor]: Taking taylor expansion of 2.0 in n 4.318 * [backup-simplify]: Simplify 2.0 into 2.0 4.318 * [taylor]: Taking taylor expansion of PI in n 4.318 * [backup-simplify]: Simplify PI into PI 4.318 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.319 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.319 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.319 * [taylor]: Taking taylor expansion of 1.0 in n 4.319 * [backup-simplify]: Simplify 1.0 into 1.0 4.319 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.320 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.320 * [taylor]: Taking taylor expansion of 0.5 in n 4.320 * [backup-simplify]: Simplify 0.5 into 0.5 4.320 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.320 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.320 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.320 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.320 * [taylor]: Taking taylor expansion of 1.0 in n 4.320 * [backup-simplify]: Simplify 1.0 into 1.0 4.320 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.320 * [taylor]: Taking taylor expansion of 2.0 in n 4.320 * [backup-simplify]: Simplify 2.0 into 2.0 4.320 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.321 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.321 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.322 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.322 * [taylor]: Taking taylor expansion of 1.0 in n 4.322 * [backup-simplify]: Simplify 1.0 into 1.0 4.322 * [taylor]: Taking taylor expansion of (log n) in n 4.322 * [taylor]: Taking taylor expansion of n in n 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (log 1) into 0 4.322 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.322 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.322 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.322 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.322 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.322 * [taylor]: Taking taylor expansion of 1.0 in n 4.322 * [backup-simplify]: Simplify 1.0 into 1.0 4.322 * [taylor]: Taking taylor expansion of (log PI) in n 4.322 * [taylor]: Taking taylor expansion of PI in n 4.322 * [backup-simplify]: Simplify PI into PI 4.323 * [backup-simplify]: Simplify (log PI) into (log PI) 4.323 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.324 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.328 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.329 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.330 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.331 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.331 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.332 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 4.333 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 4.334 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.334 * [backup-simplify]: Simplify (* (sqrt 1.0) (log n)) into (* (sqrt 1.0) (log n)) 4.335 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (sqrt 1.0) (log n))) into (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.336 * [backup-simplify]: Simplify (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.337 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (sqrt 1.0)) into (* (log (* 2.0 PI)) (sqrt 1.0)) 4.339 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.341 * [backup-simplify]: Simplify (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) 4.344 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))) into (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) 4.347 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))) 4.350 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 4.355 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 4.359 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 4.364 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) 4.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.366 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.367 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.368 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.368 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 4.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.370 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.371 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.371 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 4.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 4.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 4.375 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.376 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (sqrt 1.0))) into 0 4.377 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)))) into 0 4.378 * [backup-simplify]: Simplify (- 0) into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 4.379 * [backup-simplify]: Simplify (- 0) into 0 4.380 * [backup-simplify]: Simplify (+ 0 0) into 0 4.380 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.381 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 4.382 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 4.383 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.385 * [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 4.386 * [backup-simplify]: Simplify (- 0) into 0 4.386 * [backup-simplify]: Simplify (+ 0 0) into 0 4.387 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.387 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 4.397 * [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))) 4.415 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))))) into (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) 4.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.430 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) (+ (* 0 (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.020833333333333332 (* (* (pow (log n) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (* (pow (log n) 2) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.020833333333333332 (* (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 4.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.453 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (* (pow (log n) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (log (* 2.0 PI)) (* (pow (log n) 2) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.020833333333333332 (* (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) (+ (* +nan.0 (- (+ (* 0.5 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 4.453 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) in n 4.453 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) in n 4.453 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) in n 4.453 * [taylor]: Taking taylor expansion of +nan.0 in n 4.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.453 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) in n 4.453 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.453 * [taylor]: Taking taylor expansion of 0.5 in n 4.453 * [backup-simplify]: Simplify 0.5 into 0.5 4.453 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.453 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.453 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.453 * [taylor]: Taking taylor expansion of 1.0 in n 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.453 * [taylor]: Taking taylor expansion of 2.0 in n 4.453 * [backup-simplify]: Simplify 2.0 into 2.0 4.454 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.454 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.455 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.455 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.455 * [taylor]: Taking taylor expansion of 1.0 in n 4.455 * [backup-simplify]: Simplify 1.0 into 1.0 4.455 * [taylor]: Taking taylor expansion of (log n) in n 4.455 * [taylor]: Taking taylor expansion of n in n 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (log 1) into 0 4.456 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.456 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.456 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.456 * [taylor]: Taking taylor expansion of 1.0 in n 4.456 * [backup-simplify]: Simplify 1.0 into 1.0 4.456 * [taylor]: Taking taylor expansion of (log PI) in n 4.456 * [taylor]: Taking taylor expansion of PI in n 4.456 * [backup-simplify]: Simplify PI into PI 4.456 * [backup-simplify]: Simplify (log PI) into (log PI) 4.457 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.458 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.458 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.459 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.460 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.460 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.461 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.461 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.461 * [taylor]: Taking taylor expansion of 1.0 in n 4.461 * [backup-simplify]: Simplify 1.0 into 1.0 4.462 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.462 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) in n 4.462 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) in n 4.462 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n)))) in n 4.462 * [taylor]: Taking taylor expansion of +nan.0 in n 4.462 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.462 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (log n))) in n 4.462 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.462 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.462 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.462 * [taylor]: Taking taylor expansion of 0.5 in n 4.462 * [backup-simplify]: Simplify 0.5 into 0.5 4.462 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.462 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.462 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.462 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.462 * [taylor]: Taking taylor expansion of 1.0 in n 4.462 * [backup-simplify]: Simplify 1.0 into 1.0 4.462 * [taylor]: Taking taylor expansion of (log PI) in n 4.462 * [taylor]: Taking taylor expansion of PI in n 4.462 * [backup-simplify]: Simplify PI into PI 4.463 * [backup-simplify]: Simplify (log PI) into (log PI) 4.463 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.464 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.464 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.464 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.464 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.464 * [taylor]: Taking taylor expansion of 1.0 in n 4.464 * [backup-simplify]: Simplify 1.0 into 1.0 4.464 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.464 * [taylor]: Taking taylor expansion of 2.0 in n 4.464 * [backup-simplify]: Simplify 2.0 into 2.0 4.465 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.465 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.466 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.466 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.466 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.466 * [taylor]: Taking taylor expansion of 1.0 in n 4.466 * [backup-simplify]: Simplify 1.0 into 1.0 4.466 * [taylor]: Taking taylor expansion of (log n) in n 4.466 * [taylor]: Taking taylor expansion of n in n 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify 1 into 1 4.466 * [backup-simplify]: Simplify (log 1) into 0 4.467 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.467 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.467 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.467 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.468 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.469 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.469 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.470 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.470 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (log n)) in n 4.470 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.470 * [taylor]: Taking taylor expansion of 1.0 in n 4.470 * [backup-simplify]: Simplify 1.0 into 1.0 4.471 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.471 * [taylor]: Taking taylor expansion of (log n) in n 4.471 * [taylor]: Taking taylor expansion of n in n 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.471 * [backup-simplify]: Simplify (log 1) into 0 4.471 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) in n 4.471 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) in n 4.471 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) in n 4.472 * [taylor]: Taking taylor expansion of +nan.0 in n 4.472 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.472 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) in n 4.472 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.472 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.472 * [taylor]: Taking taylor expansion of 0.5 in n 4.472 * [backup-simplify]: Simplify 0.5 into 0.5 4.472 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.472 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.472 * [taylor]: Taking taylor expansion of 1.0 in n 4.472 * [backup-simplify]: Simplify 1.0 into 1.0 4.472 * [taylor]: Taking taylor expansion of (log PI) in n 4.472 * [taylor]: Taking taylor expansion of PI in n 4.472 * [backup-simplify]: Simplify PI into PI 4.472 * [backup-simplify]: Simplify (log PI) into (log PI) 4.473 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.474 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.474 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.474 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.474 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.474 * [taylor]: Taking taylor expansion of 1.0 in n 4.474 * [backup-simplify]: Simplify 1.0 into 1.0 4.474 * [taylor]: Taking taylor expansion of (log n) in n 4.474 * [taylor]: Taking taylor expansion of n in n 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (log 1) into 0 4.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.474 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.475 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.475 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.475 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.475 * [taylor]: Taking taylor expansion of 1.0 in n 4.475 * [backup-simplify]: Simplify 1.0 into 1.0 4.475 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.475 * [taylor]: Taking taylor expansion of 2.0 in n 4.475 * [backup-simplify]: Simplify 2.0 into 2.0 4.475 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.475 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.476 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.477 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.477 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.478 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.479 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.480 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.480 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) in n 4.480 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.480 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.480 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.480 * [taylor]: Taking taylor expansion of 2.0 in n 4.480 * [backup-simplify]: Simplify 2.0 into 2.0 4.480 * [taylor]: Taking taylor expansion of PI in n 4.480 * [backup-simplify]: Simplify PI into PI 4.480 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.481 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.481 * [taylor]: Taking taylor expansion of 1.0 in n 4.481 * [backup-simplify]: Simplify 1.0 into 1.0 4.481 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.482 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 4.482 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 4.482 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.482 * [taylor]: Taking taylor expansion of +nan.0 in n 4.482 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.482 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.482 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (sqrt 1.0)) in n 4.482 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.482 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.482 * [taylor]: Taking taylor expansion of 2.0 in n 4.482 * [backup-simplify]: Simplify 2.0 into 2.0 4.482 * [taylor]: Taking taylor expansion of PI in n 4.482 * [backup-simplify]: Simplify PI into PI 4.482 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.483 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.483 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.483 * [taylor]: Taking taylor expansion of 1.0 in n 4.483 * [backup-simplify]: Simplify 1.0 into 1.0 4.483 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.483 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.484 * [taylor]: Taking taylor expansion of 0.5 in n 4.484 * [backup-simplify]: Simplify 0.5 into 0.5 4.484 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.484 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.484 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.484 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.484 * [taylor]: Taking taylor expansion of 1.0 in n 4.484 * [backup-simplify]: Simplify 1.0 into 1.0 4.484 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.484 * [taylor]: Taking taylor expansion of 2.0 in n 4.484 * [backup-simplify]: Simplify 2.0 into 2.0 4.484 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.485 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.485 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.485 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.485 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.485 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.485 * [taylor]: Taking taylor expansion of 1.0 in n 4.485 * [backup-simplify]: Simplify 1.0 into 1.0 4.485 * [taylor]: Taking taylor expansion of (log n) in n 4.486 * [taylor]: Taking taylor expansion of n in n 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (log 1) into 0 4.486 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.486 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.486 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.486 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.486 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.486 * [taylor]: Taking taylor expansion of 1.0 in n 4.486 * [backup-simplify]: Simplify 1.0 into 1.0 4.486 * [taylor]: Taking taylor expansion of (log PI) in n 4.486 * [taylor]: Taking taylor expansion of PI in n 4.486 * [backup-simplify]: Simplify PI into PI 4.487 * [backup-simplify]: Simplify (log PI) into (log PI) 4.487 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.488 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.488 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.489 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.490 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.491 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.492 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.492 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 4.492 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.492 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.492 * [taylor]: Taking taylor expansion of +nan.0 in n 4.492 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.492 * [taylor]: Taking taylor expansion of (* (* (pow (log n) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.492 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (sqrt 1.0)) in n 4.492 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.492 * [taylor]: Taking taylor expansion of (log n) in n 4.492 * [taylor]: Taking taylor expansion of n in n 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 1 into 1 4.492 * [backup-simplify]: Simplify (log 1) into 0 4.492 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.492 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.492 * [taylor]: Taking taylor expansion of 1.0 in n 4.492 * [backup-simplify]: Simplify 1.0 into 1.0 4.493 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.493 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.493 * [taylor]: Taking taylor expansion of 0.5 in n 4.493 * [backup-simplify]: Simplify 0.5 into 0.5 4.493 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.493 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.493 * [taylor]: Taking taylor expansion of 1.0 in n 4.493 * [backup-simplify]: Simplify 1.0 into 1.0 4.493 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.494 * [taylor]: Taking taylor expansion of 2.0 in n 4.494 * [backup-simplify]: Simplify 2.0 into 2.0 4.494 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.494 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.495 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.495 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.495 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.495 * [taylor]: Taking taylor expansion of 1.0 in n 4.495 * [backup-simplify]: Simplify 1.0 into 1.0 4.495 * [taylor]: Taking taylor expansion of (log n) in n 4.495 * [taylor]: Taking taylor expansion of n in n 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.496 * [backup-simplify]: Simplify (log 1) into 0 4.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.496 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.496 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.496 * [taylor]: Taking taylor expansion of 1.0 in n 4.496 * [backup-simplify]: Simplify 1.0 into 1.0 4.496 * [taylor]: Taking taylor expansion of (log PI) in n 4.496 * [taylor]: Taking taylor expansion of PI in n 4.496 * [backup-simplify]: Simplify PI into PI 4.496 * [backup-simplify]: Simplify (log PI) into (log PI) 4.497 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.498 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.498 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.499 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.500 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.501 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.501 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.501 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.501 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.501 * [taylor]: Taking taylor expansion of +nan.0 in n 4.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.502 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.502 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (* (log n) (sqrt 1.0))) in n 4.502 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.502 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.502 * [taylor]: Taking taylor expansion of 2.0 in n 4.502 * [backup-simplify]: Simplify 2.0 into 2.0 4.502 * [taylor]: Taking taylor expansion of PI in n 4.502 * [backup-simplify]: Simplify PI into PI 4.502 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.503 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.503 * [taylor]: Taking taylor expansion of (* (log n) (sqrt 1.0)) in n 4.503 * [taylor]: Taking taylor expansion of (log n) in n 4.503 * [taylor]: Taking taylor expansion of n in n 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (log 1) into 0 4.503 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.503 * [taylor]: Taking taylor expansion of 1.0 in n 4.503 * [backup-simplify]: Simplify 1.0 into 1.0 4.503 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.504 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.504 * [taylor]: Taking taylor expansion of 0.5 in n 4.504 * [backup-simplify]: Simplify 0.5 into 0.5 4.504 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.504 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.504 * [taylor]: Taking taylor expansion of 1.0 in n 4.504 * [backup-simplify]: Simplify 1.0 into 1.0 4.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.504 * [taylor]: Taking taylor expansion of 2.0 in n 4.504 * [backup-simplify]: Simplify 2.0 into 2.0 4.504 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.505 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.505 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.506 * [taylor]: Taking taylor expansion of 1.0 in n 4.506 * [backup-simplify]: Simplify 1.0 into 1.0 4.506 * [taylor]: Taking taylor expansion of (log n) in n 4.506 * [taylor]: Taking taylor expansion of n in n 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (log 1) into 0 4.506 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.506 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.506 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.506 * [taylor]: Taking taylor expansion of 1.0 in n 4.506 * [backup-simplify]: Simplify 1.0 into 1.0 4.506 * [taylor]: Taking taylor expansion of (log PI) in n 4.506 * [taylor]: Taking taylor expansion of PI in n 4.506 * [backup-simplify]: Simplify PI into PI 4.507 * [backup-simplify]: Simplify (log PI) into (log PI) 4.507 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.512 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.512 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.513 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.514 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.515 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.516 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.517 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (sqrt 1.0)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0)) 4.518 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) 4.518 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.518 * [backup-simplify]: Simplify (* (sqrt 1.0) (log n)) into (* (sqrt 1.0) (log n)) 4.520 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (sqrt 1.0) (log n))) into (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.521 * [backup-simplify]: Simplify (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.522 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 4.524 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) into (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) 4.527 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) into (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.529 * [backup-simplify]: Simplify (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.531 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (sqrt 1.0)) into (* (log (* 2.0 PI)) (sqrt 1.0)) 4.533 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.535 * [backup-simplify]: Simplify (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) 4.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.536 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 4.536 * [backup-simplify]: Simplify (* (pow (log n) 2) (sqrt 1.0)) into (* (sqrt 1.0) (pow (log n) 2)) 4.537 * [backup-simplify]: Simplify (* (* (sqrt 1.0) (pow (log n) 2)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2))) 4.539 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) 4.539 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.539 * [backup-simplify]: Simplify (* (log n) (sqrt 1.0)) into (* (sqrt 1.0) (log n)) 4.540 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))) into (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))) 4.542 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) 4.544 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) 4.545 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))) 4.548 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) 4.552 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))) 4.557 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 4.563 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))) 4.571 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) 4.580 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) into (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))) 4.590 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) 4.604 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))) 4.616 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 4.628 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) 4.640 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) 4.660 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (pow (log n) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (log n) (sqrt 1.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (sqrt 1.0))))))))) (* 1 k)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (sqrt 1.0)))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow k 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (* k (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 4.661 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 k))) (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) 4.661 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 4.661 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in n 4.661 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.661 * [taylor]: Taking taylor expansion of k in n 4.661 * [backup-simplify]: Simplify k into k 4.661 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.662 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.662 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.662 * [taylor]: Taking taylor expansion of 1.0 in n 4.662 * [backup-simplify]: Simplify 1.0 into 1.0 4.662 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.662 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.662 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 4.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 4.662 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.662 * [taylor]: Taking taylor expansion of 0.5 in n 4.662 * [backup-simplify]: Simplify 0.5 into 0.5 4.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.662 * [taylor]: Taking taylor expansion of 1.0 in n 4.662 * [backup-simplify]: Simplify 1.0 into 1.0 4.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.662 * [taylor]: Taking taylor expansion of k in n 4.662 * [backup-simplify]: Simplify k into k 4.663 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.663 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.663 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.663 * [taylor]: Taking taylor expansion of 2.0 in n 4.663 * [backup-simplify]: Simplify 2.0 into 2.0 4.663 * [taylor]: Taking taylor expansion of PI in n 4.663 * [backup-simplify]: Simplify PI into PI 4.663 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.664 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.664 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.664 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.664 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.664 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.665 * [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))))) 4.665 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.665 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.665 * [taylor]: Taking taylor expansion of 0.5 in n 4.665 * [backup-simplify]: Simplify 0.5 into 0.5 4.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.665 * [taylor]: Taking taylor expansion of 1.0 in n 4.665 * [backup-simplify]: Simplify 1.0 into 1.0 4.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.665 * [taylor]: Taking taylor expansion of k in n 4.665 * [backup-simplify]: Simplify k into k 4.665 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.665 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.665 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.665 * [taylor]: Taking taylor expansion of n in n 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.666 * [backup-simplify]: Simplify (/ 1 1) into 1 4.666 * [backup-simplify]: Simplify (log 1) into 0 4.666 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.666 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.666 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.666 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.667 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.667 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.667 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.667 * [taylor]: Taking taylor expansion of k in k 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (sqrt 0) into 0 4.668 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.668 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.668 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.668 * [taylor]: Taking taylor expansion of 1.0 in k 4.668 * [backup-simplify]: Simplify 1.0 into 1.0 4.668 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.668 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.669 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) 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 (- 1.0 (/ 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 (/ 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 4.669 * [backup-simplify]: Simplify (/ 1 1) into 1 4.669 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.669 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.669 * [taylor]: Taking taylor expansion of 2.0 in k 4.669 * [backup-simplify]: Simplify 2.0 into 2.0 4.669 * [taylor]: Taking taylor expansion of PI in k 4.669 * [backup-simplify]: Simplify PI into PI 4.669 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.670 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.670 * [backup-simplify]: Simplify (- 1) into -1 4.670 * [backup-simplify]: Simplify (+ 0 -1) 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))) 4.672 * [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))))) 4.672 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.672 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.672 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.672 * [taylor]: Taking taylor expansion of 0.5 in k 4.672 * [backup-simplify]: Simplify 0.5 into 0.5 4.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.672 * [taylor]: Taking taylor expansion of 1.0 in k 4.672 * [backup-simplify]: Simplify 1.0 into 1.0 4.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 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 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.673 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.673 * [taylor]: Taking taylor expansion of n in k 4.673 * [backup-simplify]: Simplify n into n 4.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.673 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.673 * [backup-simplify]: Simplify (- 1) into -1 4.673 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.674 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.674 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.674 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.674 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.674 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.674 * [taylor]: Taking taylor expansion of k in k 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [backup-simplify]: Simplify (sqrt 0) into 0 4.675 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.675 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.675 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.675 * [taylor]: Taking taylor expansion of 1.0 in k 4.675 * [backup-simplify]: Simplify 1.0 into 1.0 4.675 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.676 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.676 * [taylor]: Taking taylor expansion of 0.5 in k 4.676 * [backup-simplify]: Simplify 0.5 into 0.5 4.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.676 * [taylor]: Taking taylor expansion of 1.0 in k 4.676 * [backup-simplify]: Simplify 1.0 into 1.0 4.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.676 * [taylor]: Taking taylor expansion of k in k 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.676 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.676 * [taylor]: Taking taylor expansion of 2.0 in k 4.676 * [backup-simplify]: Simplify 2.0 into 2.0 4.676 * [taylor]: Taking taylor expansion of PI in k 4.676 * [backup-simplify]: Simplify PI into PI 4.677 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.677 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.677 * [backup-simplify]: Simplify (- 1) into -1 4.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.678 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.679 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.680 * [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))))) 4.680 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.680 * [taylor]: Taking taylor expansion of 0.5 in k 4.680 * [backup-simplify]: Simplify 0.5 into 0.5 4.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.680 * [taylor]: Taking taylor expansion of 1.0 in k 4.680 * [backup-simplify]: Simplify 1.0 into 1.0 4.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.680 * [taylor]: Taking taylor expansion of k in k 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (/ 1 1) into 1 4.680 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.680 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.680 * [taylor]: Taking taylor expansion of n in k 4.680 * [backup-simplify]: Simplify n into n 4.680 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.680 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.681 * [backup-simplify]: Simplify (- 1) into -1 4.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.681 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.681 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.681 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 4.683 * [backup-simplify]: Simplify (* (sqrt 1.0) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 4.684 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into 0 4.684 * [taylor]: Taking taylor expansion of 0 in n 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))) into 0 4.686 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 4.688 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) in n 4.688 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) in n 4.688 * [taylor]: Taking taylor expansion of +nan.0 in n 4.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.688 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) in n 4.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.688 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.688 * [taylor]: Taking taylor expansion of 0.5 in n 4.688 * [backup-simplify]: Simplify 0.5 into 0.5 4.688 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.688 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.688 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.688 * [taylor]: Taking taylor expansion of n in n 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (/ 1 1) into 1 4.692 * [backup-simplify]: Simplify (log 1) into 0 4.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.692 * [taylor]: Taking taylor expansion of 1.0 in n 4.692 * [backup-simplify]: Simplify 1.0 into 1.0 4.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.692 * [taylor]: Taking taylor expansion of k in n 4.692 * [backup-simplify]: Simplify k into k 4.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.692 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.693 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.693 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 4.693 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.693 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.693 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) in n 4.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.693 * [taylor]: Taking taylor expansion of 0.5 in n 4.693 * [backup-simplify]: Simplify 0.5 into 0.5 4.693 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.693 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.693 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.693 * [taylor]: Taking taylor expansion of 2.0 in n 4.693 * [backup-simplify]: Simplify 2.0 into 2.0 4.693 * [taylor]: Taking taylor expansion of PI in n 4.693 * [backup-simplify]: Simplify PI into PI 4.693 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.694 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.694 * [taylor]: Taking taylor expansion of 1.0 in n 4.694 * [backup-simplify]: Simplify 1.0 into 1.0 4.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.694 * [taylor]: Taking taylor expansion of k in n 4.694 * [backup-simplify]: Simplify k into k 4.694 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.694 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.695 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.695 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 4.696 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.697 * [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))))) 4.697 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.697 * [taylor]: Taking taylor expansion of 1.0 in n 4.697 * [backup-simplify]: Simplify 1.0 into 1.0 4.697 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.698 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) 4.699 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 4.700 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) 4.701 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.702 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.702 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))))))) into 0 4.704 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.705 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 4.707 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) in n 4.709 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) in n 4.709 * [taylor]: Taking taylor expansion of +nan.0 in n 4.709 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.709 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) in n 4.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.709 * [taylor]: Taking taylor expansion of 0.5 in n 4.709 * [backup-simplify]: Simplify 0.5 into 0.5 4.709 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.709 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.709 * [taylor]: Taking taylor expansion of n in n 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (log 1) into 0 4.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.710 * [taylor]: Taking taylor expansion of 1.0 in n 4.710 * [backup-simplify]: Simplify 1.0 into 1.0 4.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.710 * [taylor]: Taking taylor expansion of k in n 4.710 * [backup-simplify]: Simplify k into k 4.710 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.710 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.710 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.710 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 4.710 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.710 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.710 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) in n 4.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.710 * [taylor]: Taking taylor expansion of 0.5 in n 4.710 * [backup-simplify]: Simplify 0.5 into 0.5 4.710 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.710 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.710 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.710 * [taylor]: Taking taylor expansion of 2.0 in n 4.710 * [backup-simplify]: Simplify 2.0 into 2.0 4.711 * [taylor]: Taking taylor expansion of PI in n 4.711 * [backup-simplify]: Simplify PI into PI 4.711 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.711 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.711 * [taylor]: Taking taylor expansion of 1.0 in n 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.711 * [taylor]: Taking taylor expansion of k in n 4.712 * [backup-simplify]: Simplify k into k 4.712 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.712 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.712 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.712 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 4.713 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.714 * [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))))) 4.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.714 * [taylor]: Taking taylor expansion of 1.0 in n 4.714 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.715 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) 4.716 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 4.717 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) 4.718 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.719 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.720 * [backup-simplify]: Simplify (- 0) into 0 4.720 * [backup-simplify]: Simplify (+ 0 0) into 0 4.720 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.722 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.723 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 4.724 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.725 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (sqrt 1.0))) into 0 4.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.725 * [backup-simplify]: Simplify (- 0) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.727 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.727 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 4.728 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.729 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into 0 4.730 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into 0 4.730 * [backup-simplify]: Simplify (- 0) into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))))))) into 0 4.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.734 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))))) into 0 4.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.738 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) in n 4.738 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) in n 4.738 * [taylor]: Taking taylor expansion of +nan.0 in n 4.738 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.738 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) in n 4.738 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.738 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.738 * [taylor]: Taking taylor expansion of 0.5 in n 4.738 * [backup-simplify]: Simplify 0.5 into 0.5 4.738 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.738 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.738 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.738 * [taylor]: Taking taylor expansion of n in n 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (/ 1 1) into 1 4.739 * [backup-simplify]: Simplify (log 1) into 0 4.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.739 * [taylor]: Taking taylor expansion of 1.0 in n 4.739 * [backup-simplify]: Simplify 1.0 into 1.0 4.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.739 * [taylor]: Taking taylor expansion of k in n 4.739 * [backup-simplify]: Simplify k into k 4.739 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.739 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.739 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.739 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 4.739 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.739 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.739 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) in n 4.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.739 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.739 * [taylor]: Taking taylor expansion of 0.5 in n 4.739 * [backup-simplify]: Simplify 0.5 into 0.5 4.739 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.739 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.739 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.740 * [taylor]: Taking taylor expansion of 2.0 in n 4.740 * [backup-simplify]: Simplify 2.0 into 2.0 4.740 * [taylor]: Taking taylor expansion of PI in n 4.740 * [backup-simplify]: Simplify PI into PI 4.740 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.740 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.741 * [taylor]: Taking taylor expansion of 1.0 in n 4.741 * [backup-simplify]: Simplify 1.0 into 1.0 4.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.741 * [taylor]: Taking taylor expansion of k in n 4.741 * [backup-simplify]: Simplify k into k 4.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.741 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.741 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.741 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 4.742 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 4.743 * [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))))) 4.743 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.743 * [taylor]: Taking taylor expansion of 1.0 in n 4.743 * [backup-simplify]: Simplify 1.0 into 1.0 4.743 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.744 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0)) 4.746 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (sqrt 1.0))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))) 4.747 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0)))) 4.748 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.749 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (sqrt 1.0))))) 4.753 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (sqrt 1.0))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (sqrt 1.0))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (sqrt 1.0))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k)) (- (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2)))))))) 4.754 * [backup-simplify]: Simplify (* (sqrt (/ (* 1.0 1.0) (/ 1 (- k)))) (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) 4.754 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 4.754 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in n 4.754 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.754 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.754 * [taylor]: Taking taylor expansion of 0.5 in n 4.754 * [backup-simplify]: Simplify 0.5 into 0.5 4.754 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.754 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.754 * [taylor]: Taking taylor expansion of k in n 4.754 * [backup-simplify]: Simplify k into k 4.754 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.754 * [taylor]: Taking taylor expansion of 1.0 in n 4.754 * [backup-simplify]: Simplify 1.0 into 1.0 4.754 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.754 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.754 * [taylor]: Taking taylor expansion of -1 in n 4.754 * [backup-simplify]: Simplify -1 into -1 4.754 * [taylor]: Taking taylor expansion of n in n 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (/ -1 1) into -1 4.754 * [backup-simplify]: Simplify (log -1) into (log -1) 4.755 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.755 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.755 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.756 * [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)))) 4.756 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.756 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in n 4.756 * [taylor]: Taking taylor expansion of (* -1.0 k) in n 4.756 * [taylor]: Taking taylor expansion of -1.0 in n 4.756 * [backup-simplify]: Simplify -1.0 into -1.0 4.756 * [taylor]: Taking taylor expansion of k in n 4.756 * [backup-simplify]: Simplify k into k 4.756 * [backup-simplify]: Simplify (* -1.0 k) into (* -1.0 k) 4.756 * [backup-simplify]: Simplify (sqrt (* -1.0 k)) into (sqrt (* -1.0 k)) 4.756 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 k)) into 0 4.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1.0 k)))) into 0 4.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.756 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.756 * [taylor]: Taking taylor expansion of 0.5 in n 4.756 * [backup-simplify]: Simplify 0.5 into 0.5 4.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.757 * [taylor]: Taking taylor expansion of k in n 4.757 * [backup-simplify]: Simplify k into k 4.757 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.757 * [taylor]: Taking taylor expansion of 1.0 in n 4.757 * [backup-simplify]: Simplify 1.0 into 1.0 4.757 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.757 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.757 * [taylor]: Taking taylor expansion of 2.0 in n 4.757 * [backup-simplify]: Simplify 2.0 into 2.0 4.757 * [taylor]: Taking taylor expansion of PI in n 4.757 * [backup-simplify]: Simplify PI into PI 4.757 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.758 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.758 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.758 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.758 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.759 * [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)))) 4.759 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.759 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.759 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.759 * [taylor]: Taking taylor expansion of 0.5 in k 4.759 * [backup-simplify]: Simplify 0.5 into 0.5 4.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.759 * [taylor]: Taking taylor expansion of k in k 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (/ 1 1) into 1 4.759 * [taylor]: Taking taylor expansion of 1.0 in k 4.760 * [backup-simplify]: Simplify 1.0 into 1.0 4.760 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.760 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.760 * [taylor]: Taking taylor expansion of -1 in k 4.760 * [backup-simplify]: Simplify -1 into -1 4.760 * [taylor]: Taking taylor expansion of n in k 4.760 * [backup-simplify]: Simplify n into n 4.760 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.760 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.760 * [backup-simplify]: Simplify (+ 1 0) into 1 4.760 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.760 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.760 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.760 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.760 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 4.760 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 4.760 * [taylor]: Taking taylor expansion of -1.0 in k 4.760 * [backup-simplify]: Simplify -1.0 into -1.0 4.760 * [taylor]: Taking taylor expansion of k in k 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify 1 into 1 4.761 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.762 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 4.762 * [backup-simplify]: Simplify (sqrt 0) into 0 4.763 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.763 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.763 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.763 * [taylor]: Taking taylor expansion of 0.5 in k 4.763 * [backup-simplify]: Simplify 0.5 into 0.5 4.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.763 * [taylor]: Taking taylor expansion of k in k 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (/ 1 1) into 1 4.763 * [taylor]: Taking taylor expansion of 1.0 in k 4.763 * [backup-simplify]: Simplify 1.0 into 1.0 4.763 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.763 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.763 * [taylor]: Taking taylor expansion of 2.0 in k 4.763 * [backup-simplify]: Simplify 2.0 into 2.0 4.763 * [taylor]: Taking taylor expansion of PI in k 4.763 * [backup-simplify]: Simplify PI into PI 4.764 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.764 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.765 * [backup-simplify]: Simplify (+ 1 0) into 1 4.765 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.766 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.766 * [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)))) 4.766 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.766 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.767 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.767 * [taylor]: Taking taylor expansion of 0.5 in k 4.767 * [backup-simplify]: Simplify 0.5 into 0.5 4.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.767 * [taylor]: Taking taylor expansion of k in k 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (/ 1 1) into 1 4.767 * [taylor]: Taking taylor expansion of 1.0 in k 4.767 * [backup-simplify]: Simplify 1.0 into 1.0 4.767 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.767 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.767 * [taylor]: Taking taylor expansion of -1 in k 4.767 * [backup-simplify]: Simplify -1 into -1 4.767 * [taylor]: Taking taylor expansion of n in k 4.767 * [backup-simplify]: Simplify n into n 4.767 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.767 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.767 * [backup-simplify]: Simplify (+ 1 0) into 1 4.768 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.768 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.768 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.768 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 k)) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.768 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 k)) in k 4.768 * [taylor]: Taking taylor expansion of (* -1.0 k) in k 4.768 * [taylor]: Taking taylor expansion of -1.0 in k 4.768 * [backup-simplify]: Simplify -1.0 into -1.0 4.768 * [taylor]: Taking taylor expansion of k in k 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.769 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 4.769 * [backup-simplify]: Simplify (sqrt 0) into 0 4.770 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.770 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.770 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.770 * [taylor]: Taking taylor expansion of 0.5 in k 4.770 * [backup-simplify]: Simplify 0.5 into 0.5 4.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.770 * [taylor]: Taking taylor expansion of k in k 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (/ 1 1) into 1 4.771 * [taylor]: Taking taylor expansion of 1.0 in k 4.771 * [backup-simplify]: Simplify 1.0 into 1.0 4.771 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.771 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.771 * [taylor]: Taking taylor expansion of 2.0 in k 4.771 * [backup-simplify]: Simplify 2.0 into 2.0 4.771 * [taylor]: Taking taylor expansion of PI in k 4.771 * [backup-simplify]: Simplify PI into PI 4.771 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.772 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.772 * [backup-simplify]: Simplify (+ 1 0) into 1 4.772 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.773 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.774 * [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)))) 4.775 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 4.775 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) into 0 4.775 * [taylor]: Taking taylor expansion of 0 in n 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 4.777 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 4.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 4.777 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 4.777 * [taylor]: Taking taylor expansion of +nan.0 in n 4.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.777 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.777 * [taylor]: Taking taylor expansion of 0.5 in n 4.777 * [backup-simplify]: Simplify 0.5 into 0.5 4.777 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.777 * [taylor]: Taking taylor expansion of k in n 4.777 * [backup-simplify]: Simplify k into k 4.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.777 * [taylor]: Taking taylor expansion of 1.0 in n 4.777 * [backup-simplify]: Simplify 1.0 into 1.0 4.777 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.777 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.777 * [taylor]: Taking taylor expansion of -1 in n 4.777 * [backup-simplify]: Simplify -1 into -1 4.777 * [taylor]: Taking taylor expansion of n in n 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (/ -1 1) into -1 4.778 * [backup-simplify]: Simplify (log -1) into (log -1) 4.778 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.779 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 4.779 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.779 * [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)))) 4.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.780 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.780 * [taylor]: Taking taylor expansion of 0.5 in n 4.780 * [backup-simplify]: Simplify 0.5 into 0.5 4.780 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.780 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.780 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.780 * [taylor]: Taking taylor expansion of 2.0 in n 4.780 * [backup-simplify]: Simplify 2.0 into 2.0 4.780 * [taylor]: Taking taylor expansion of PI in n 4.780 * [backup-simplify]: Simplify PI into PI 4.780 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.781 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.781 * [taylor]: Taking taylor expansion of k in n 4.781 * [backup-simplify]: Simplify k into k 4.781 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.781 * [taylor]: Taking taylor expansion of 1.0 in n 4.781 * [backup-simplify]: Simplify 1.0 into 1.0 4.781 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.781 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 4.782 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.783 * [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)))) 4.784 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 4.785 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 4.790 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 4.791 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.793 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 4.796 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 4.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 4.796 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 4.796 * [taylor]: Taking taylor expansion of +nan.0 in n 4.796 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.796 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.796 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.796 * [taylor]: Taking taylor expansion of 0.5 in n 4.796 * [backup-simplify]: Simplify 0.5 into 0.5 4.796 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.796 * [taylor]: Taking taylor expansion of k in n 4.796 * [backup-simplify]: Simplify k into k 4.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.796 * [taylor]: Taking taylor expansion of 1.0 in n 4.796 * [backup-simplify]: Simplify 1.0 into 1.0 4.796 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.796 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.796 * [taylor]: Taking taylor expansion of -1 in n 4.797 * [backup-simplify]: Simplify -1 into -1 4.797 * [taylor]: Taking taylor expansion of n in n 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (/ -1 1) into -1 4.797 * [backup-simplify]: Simplify (log -1) into (log -1) 4.797 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.798 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 4.798 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.799 * [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)))) 4.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.799 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.799 * [taylor]: Taking taylor expansion of 0.5 in n 4.799 * [backup-simplify]: Simplify 0.5 into 0.5 4.799 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.799 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.799 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.799 * [taylor]: Taking taylor expansion of 2.0 in n 4.799 * [backup-simplify]: Simplify 2.0 into 2.0 4.799 * [taylor]: Taking taylor expansion of PI in n 4.799 * [backup-simplify]: Simplify PI into PI 4.799 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.800 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.800 * [taylor]: Taking taylor expansion of k in n 4.800 * [backup-simplify]: Simplify k into k 4.800 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.800 * [taylor]: Taking taylor expansion of 1.0 in n 4.800 * [backup-simplify]: Simplify 1.0 into 1.0 4.800 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.801 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 4.801 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.802 * [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)))) 4.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 4.804 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 4.805 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 4.806 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 4.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.806 * [backup-simplify]: Simplify (+ 0 0) into 0 4.807 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.808 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 4.810 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.812 * [backup-simplify]: Simplify (+ 0 0) into 0 4.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.813 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 4.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 4.814 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.815 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 4.816 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 4.816 * [backup-simplify]: Simplify (- 0) into 0 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 4.823 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 4.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 4.823 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 4.823 * [taylor]: Taking taylor expansion of +nan.0 in n 4.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.823 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.823 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.823 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.823 * [taylor]: Taking taylor expansion of 0.5 in n 4.823 * [backup-simplify]: Simplify 0.5 into 0.5 4.823 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.823 * [taylor]: Taking taylor expansion of k in n 4.823 * [backup-simplify]: Simplify k into k 4.823 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.823 * [taylor]: Taking taylor expansion of 1.0 in n 4.823 * [backup-simplify]: Simplify 1.0 into 1.0 4.823 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.823 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.823 * [taylor]: Taking taylor expansion of -1 in n 4.823 * [backup-simplify]: Simplify -1 into -1 4.823 * [taylor]: Taking taylor expansion of n in n 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 1 into 1 4.823 * [backup-simplify]: Simplify (/ -1 1) into -1 4.824 * [backup-simplify]: Simplify (log -1) into (log -1) 4.824 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.825 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 4.825 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.825 * [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)))) 4.825 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.825 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.825 * [taylor]: Taking taylor expansion of 0.5 in n 4.825 * [backup-simplify]: Simplify 0.5 into 0.5 4.825 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.825 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.825 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.825 * [taylor]: Taking taylor expansion of 2.0 in n 4.825 * [backup-simplify]: Simplify 2.0 into 2.0 4.825 * [taylor]: Taking taylor expansion of PI in n 4.825 * [backup-simplify]: Simplify PI into PI 4.826 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.826 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.826 * [taylor]: Taking taylor expansion of k in n 4.826 * [backup-simplify]: Simplify k into k 4.826 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.826 * [taylor]: Taking taylor expansion of 1.0 in n 4.827 * [backup-simplify]: Simplify 1.0 into 1.0 4.827 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.827 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 4.828 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 4.829 * [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)))) 4.829 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 4.831 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 4.832 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 4.833 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 4.836 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k))))))) 4.837 * * * [progress]: simplifying candidates 4.839 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ (* 1.0 1.0) k))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (exp (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (sqrt (/ (* 1.0 1.0) k)) (sqrt (/ (* 1.0 1.0) k))) (sqrt (/ (* 1.0 1.0) k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (sqrt (/ (* 1.0 1.0) k)) (sqrt (/ (* 1.0 1.0) k))) (sqrt (/ (* 1.0 1.0) k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (cbrt (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 1.0)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* (sqrt (* 1.0 1.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* (sqrt (* 1.0 1.0)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ (* 1.0 1.0) k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt (/ (* 1.0 1.0) k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (cbrt (/ (* 1.0 1.0) k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ (* 1.0 1.0) k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt (/ (* 1.0 1.0) k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (* 1.0 1.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 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))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (sqrt 1.0))) (- (+ (* +nan.0 (* (* (pow k 2) (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (sqrt 1.0) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (* k (sqrt 1.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (sqrt 1.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k)) (- (* +nan.0 (/ (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k))))))) 4.840 * [simplify]: Sending expressions to egg_math: (* (log h3) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow h3 (/ h2 h0)) (pow h3 (/ h1 h0)) (pow h3 (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow h3 (sqrt (/ (- h2 h1) h0))) (pow h3 (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow h3 (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow h3 (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow h3 (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow h3 (/ (sqrt (- h2 h1)) (sqrt h0))) (pow h3 (/ (sqrt (- h2 h1)) 1)) (pow h3 (/ 1 (* (cbrt h0) (cbrt h0)))) (pow h3 (/ 1 (sqrt h0))) (pow h3 (/ 1 1)) (pow h3 (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow h3 (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow h3 (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow h3 (/ 1 (* (cbrt h0) (cbrt h0)))) (pow h3 (/ 1 (sqrt h0))) (pow h3 (/ 1 1)) (pow h3 1) (pow h3 (- h2 h1)) (pow (* (cbrt h3) (cbrt h3)) (/ (- h2 h1) h0)) (pow (cbrt h3) (/ (- h2 h1) h0)) (pow (sqrt h3) (/ (- h2 h1) h0)) (pow (sqrt h3) (/ (- h2 h1) h0)) (pow 1 (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0))) (exp (pow h3 (/ (- h2 h1) h0))) (* (cbrt (pow h3 (/ (- h2 h1) h0))) (cbrt (pow h3 (/ (- h2 h1) h0)))) (cbrt (pow h3 (/ (- h2 h1) h0))) (* (* (pow h3 (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))) (pow h3 (/ (- h2 h1) h0))) (sqrt (pow h3 (/ (- h2 h1) h0))) (sqrt (pow h3 (/ (- h2 h1) h0))) (pow h3 (/ (/ (- h2 h1) h0) 2)) (pow h3 (/ (/ (- h2 h1) h0) 2)) (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow (* h0 h4) (/ h2 h0)) (pow (* h0 h4) (/ h1 h0)) (pow (* h0 h4) (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow (* h0 h4) (sqrt (/ (- h2 h1) h0))) (pow (* h0 h4) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow (* h0 h4) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow (* h0 h4) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow (* h0 h4) (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow (* h0 h4) (/ (sqrt (- h2 h1)) (sqrt h0))) (pow (* h0 h4) (/ (sqrt (- h2 h1)) 1)) (pow (* h0 h4) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* h0 h4) (/ 1 (sqrt h0))) (pow (* h0 h4) (/ 1 1)) (pow (* h0 h4) (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow (* h0 h4) (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow (* h0 h4) (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow (* h0 h4) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* h0 h4) (/ 1 (sqrt h0))) (pow (* h0 h4) (/ 1 1)) (pow (* h0 h4) 1) (pow (* h0 h4) (- h2 h1)) (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)) (log (pow (* h0 h4) (/ (- h2 h1) h0))) (exp (pow (* h0 h4) (/ (- h2 h1) h0))) (* (cbrt (pow (* h0 h4) (/ (- h2 h1) h0))) (cbrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (cbrt (pow (* h0 h4) (/ (- h2 h1) h0))) (* (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow (* h0 h4) (/ (- h2 h1) h0))) (pow (* h0 h4) (/ (- h2 h1) h0))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (* (* h0 h4) h3) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0)))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0)))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0)))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (* (log h3) (/ (- h2 h1) h0))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (* (log h3) (/ (- h2 h1) h0))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (log (pow h3 (/ (- h2 h1) h0)))) (log (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (exp (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (* (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow (* h0 h4) (/ (- h2 h1) h0))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (* (pow h3 (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))) (pow h3 (/ (- h2 h1) h0)))) (* (cbrt (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (cbrt (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (cbrt (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (* (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (sqrt (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (sqrt (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (pow (* h0 h4) (/ h2 h0)) (pow h3 (/ h2 h0))) (* (pow (* h0 h4) (/ h1 h0)) (pow h3 (/ h1 h0))) (* (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (pow (sqrt h3) (/ (- h2 h1) h0))) (* (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (pow (sqrt h3) (/ (- h2 h1) h0))) (* (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (sqrt (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (sqrt (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (pow h3 (/ (/ (- h2 h1) h0) 2))) (* (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (pow h3 (/ (/ (- h2 h1) h0) 2))) (* (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow (sqrt h3) (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow (sqrt h3) (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (sqrt (pow h3 (/ (- h2 h1) h0)))) (* (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (sqrt (pow h3 (/ (- h2 h1) h0)))) (* (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow h3 (/ (/ (- h2 h1) h0) 2))) (* (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow h3 (/ (/ (- h2 h1) h0) 2))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow (* (cbrt h3) (cbrt h3)) (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow (sqrt h3) (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow 1 (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (* (cbrt (pow h3 (/ (- h2 h1) h0))) (cbrt (pow h3 (/ (- h2 h1) h0))))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (sqrt (pow h3 (/ (- h2 h1) h0)))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) 1) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (/ (- h2 h1) h0) 2))) (* (pow h4 (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))) (* (cbrt (pow (* h0 h4) (/ (- h2 h1) h0))) (pow h3 (/ (- h2 h1) h0))) (* (sqrt (pow (* h0 h4) (/ (- h2 h1) h0))) (pow h3 (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow h3 (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ h2 h0))) (* (pow (* h0 h4) (/ h2 h0)) (pow h3 (/ (- h2 h1) h0))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (+ (log h0) (log h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0))))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0))))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (* (log (* h0 h4)) (/ (- h2 h1) h0)) (log (pow h3 (/ (- h2 h1) h0))))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (* (log h3) (/ (- h2 h1) h0)))) (+ (log (sqrt (/ (* h2 h2) h1))) (+ (log (pow (* h0 h4) (/ (- h2 h1) h0))) (log (pow h3 (/ (- h2 h1) h0))))) (+ (log (sqrt (/ (* h2 h2) h1))) (log (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (log (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (exp (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (* (* (* (sqrt (/ (* h2 h2) h1)) (sqrt (/ (* h2 h2) h1))) (sqrt (/ (* h2 h2) h1))) (* (* (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow (* h0 h4) (/ (- h2 h1) h0))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (* (pow h3 (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))) (pow h3 (/ (- h2 h1) h0))))) (* (* (* (sqrt (/ (* h2 h2) h1)) (sqrt (/ (* h2 h2) h1))) (sqrt (/ (* h2 h2) h1))) (* (* (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (* (cbrt (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (cbrt (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))))) (cbrt (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (* (* (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (sqrt (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (sqrt (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0))))) (* (sqrt (* h2 h2)) (* (pow (* h0 h4) (/ h2 h0)) (pow h3 (/ h2 h0)))) (* (sqrt h1) (* (pow (* h0 h4) (/ h1 h0)) (pow h3 (/ h1 h0)))) (* (sqrt (* h2 h2)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ h2 h0)))) (* (sqrt h1) (pow h3 (/ h1 h0))) (* (sqrt (* h2 h2)) (* (pow (* h0 h4) (/ h2 h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt h1) (pow (* h0 h4) (/ h1 h0))) (* (sqrt (/ (* h2 h2) h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (cbrt (sqrt (/ (* h2 h2) h1))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (cbrt (/ (* h2 h2) h1))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (cbrt h1))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ h2 h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ 1 h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (sqrt (/ (* h2 h2) h1))) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ h2 h0)) (pow h3 (/ h2 h0)))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ h2 h0)))) (* (sqrt (/ (* h2 h2) h1)) (* (pow (* h0 h4) (/ h2 h0)) (pow h3 (/ (- h2 h1) h0)))) (* (sqrt (* h2 h2)) (* (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)))) (- (+ (* h6 (* (* (pow h1 2) (pow (log h3) 2)) (pow (pow h3 h2) h5))) (pow h3 h5)) (* h5 (* (* h1 (log h3)) (pow (pow h3 h2) h5)))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))) (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (- (+ (* h6 (* (* (pow h1 2) (pow (log (* h0 h4)) 2)) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (pow (* h0 h4) h5)) (* h5 (* (* h1 (log (* h0 h4))) (pow (* (pow h0 h2) (pow h4 h2)) h5)))) (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (- (+ (* h6 (* (* (pow h1 2) (pow (log h3) 2)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (+ (* h6 (* (* (pow h1 2) (pow (log (* h0 h4)) 2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (+ (* h8 (* (* (pow h1 2) (* (log (* h0 h4)) (log h3))) (pow (* (pow h4 h2) (* (pow h0 h2) (pow h3 h2))) h5))) (pow (pow (pow (pow (pow (pow (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h2) h2) h2) h2) h2) h2) h5)))) (+ (* h5 (* (* h1 (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (* h5 (* (* h1 (log (* h0 h4))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))))) (* (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3)))))) (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4)))))) (- (+ (* h9 (* (* (pow h1 2) (* (sqrt h2) (pow (log h3) 2))) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* h1 (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (log (* h0 h4)) (sqrt h2))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5) (sqrt h2))) (- (+ (* h9 (* (* (pow h1 2) (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5) (* (sqrt h2) (* (pow h1 2) (* (log (* h0 h4)) (log h3)))))) (- (+ (* h9 (* (* h1 (sqrt h2)) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* h1 (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (* h9 (* (* (pow h1 2) (* (sqrt h2) (log h3))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)))))))))))))))))))))) (- (+ (* h9 (/ (* (sqrt h2) (* (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) (pow h1 3))) (- (+ (* h9 (/ (* (sqrt h2) (* (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) h1)) (- (* h9 (/ (* (sqrt h2) (* (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) (pow h1 2)))))))) (- (+ (* h9 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4)))))) (pow h1 2))) (- (+ (* h9 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4)))))) (pow h1 3))) (- (* h9 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4)))))) h1))))))) 4.850 * * [simplify]: iteration 0 : 1003 enodes (cost 1804 ) 4.867 * * [simplify]: iteration 1 : 4048 enodes (cost 1682 ) 4.935 * * [simplify]: iteration 2 : 5001 enodes (cost 1673 ) 4.942 * * * [progress]: adding candidates to table 5.435 * [progress]: [Phase 3 of 3] Extracting. 5.435 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 5.438 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.438 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 5.481 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 5.514 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # #) 5.563 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 5.605 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.648 * * * [regime]: Found split indices: #